From 752bce29fd5c4c1ff3de40627b734db00e6e6515 Mon Sep 17 00:00:00 2001 From: Johannes Roth Date: Wed, 25 Feb 2026 18:02:37 +0100 Subject: [PATCH 1/9] implement XMSS^MT XMSS^MT: implement pubkey and verify XMSS^MT: implement keygen and sign XMSS^MT: refactor common XMSS and XMSS^MT code adjust for leaf idx >32 bit in the index registry add test vector files to git clang tidy XMSS^MT: add some tests and documentation various small fixes Remove XMSS^MT private key shared mutable state (see #5366), disabled for now (see #5369) --- doc/api_ref/pubkey.rst | 113 ++- doc/credits.rst | 5 + doc/index.rst | 1 + readme.rst | 2 +- src/build-data/oids.txt | 1 + src/cli/perf_pk_sig.cpp | 33 + src/examples/xmssmt.cpp | 36 + src/lib/asn1/static_oids.cpp | 4 + src/lib/pubkey/pk_algs.cpp | 29 + src/lib/pubkey/pkcs8.cpp | 2 +- src/lib/pubkey/xmss/info.txt | 3 +- src/lib/pubkey/xmss/xmss.h | 12 +- src/lib/pubkey/xmss/xmss_address.h | 42 +- src/lib/pubkey/xmss/xmss_common_ops.cpp | 69 -- src/lib/pubkey/xmss/xmss_common_ops.h | 80 -- src/lib/pubkey/xmss/xmss_core.cpp | 289 ++++++ src/lib/pubkey/xmss/xmss_core.h | 161 ++++ src/lib/pubkey/xmss/xmss_hash.cpp | 11 + src/lib/pubkey/xmss/xmss_hash.h | 1 + src/lib/pubkey/xmss/xmss_parameters.h | 103 +- src/lib/pubkey/xmss/xmss_privatekey.cpp | 156 +--- src/lib/pubkey/xmss/xmss_publickey.cpp | 4 +- src/lib/pubkey/xmss/xmss_signature.h | 18 +- .../pubkey/xmss/xmss_signature_operation.cpp | 7 +- .../xmss/xmss_verification_operation.cpp | 54 +- .../pubkey/xmss/xmss_verification_operation.h | 15 - src/lib/pubkey/xmss/xmss_wots_parameters.cpp | 3 +- src/lib/pubkey/xmss/xmss_wots_parameters.h | 121 +++ src/lib/pubkey/xmssmt/info.txt | 27 + src/lib/pubkey/xmssmt/xmssmt.h | 227 +++++ src/lib/pubkey/xmssmt/xmssmt_parameters.cpp | 878 ++++++++++++++++++ src/lib/pubkey/xmssmt/xmssmt_parameters.h | 197 ++++ src/lib/pubkey/xmssmt/xmssmt_privatekey.cpp | 246 +++++ src/lib/pubkey/xmssmt/xmssmt_publickey.cpp | 118 +++ src/lib/pubkey/xmssmt/xmssmt_signature.cpp | 80 ++ src/lib/pubkey/xmssmt/xmssmt_signature.h | 84 ++ .../xmssmt/xmssmt_signature_operation.cpp | 139 +++ .../xmssmt/xmssmt_signature_operation.h | 77 ++ .../xmssmt/xmssmt_verification_operation.cpp | 85 ++ .../xmssmt/xmssmt_verification_operation.h | 52 ++ src/lib/x509/x509_obj.cpp | 2 +- src/scripts/ci_build.py | 2 + .../xmss_test_vector_from_reference.py | 91 +- src/scripts/test_python.py | 6 + src/tests/data/pubkey/api_sign.vec | 5 + src/tests/data/pubkey/xmssmt_invalid.vec | 35 + src/tests/data/pubkey/xmssmt_keygen.vec | 302 ++++++ src/tests/data/pubkey/xmssmt_sig.vec | 678 ++++++++++++++ src/tests/data/pubkey/xmssmt_verify.vec | 670 +++++++++++++ src/tests/test_concurrent_pk.cpp | 1 + src/tests/test_ffi.cpp | 26 + src/tests/test_pubkey.cpp | 2 +- src/tests/test_xmssmt.cpp | 218 +++++ 53 files changed, 5097 insertions(+), 526 deletions(-) create mode 100644 src/examples/xmssmt.cpp delete mode 100644 src/lib/pubkey/xmss/xmss_common_ops.cpp delete mode 100644 src/lib/pubkey/xmss/xmss_common_ops.h create mode 100644 src/lib/pubkey/xmss/xmss_core.cpp create mode 100644 src/lib/pubkey/xmss/xmss_core.h create mode 100644 src/lib/pubkey/xmss/xmss_wots_parameters.h create mode 100644 src/lib/pubkey/xmssmt/info.txt create mode 100644 src/lib/pubkey/xmssmt/xmssmt.h create mode 100644 src/lib/pubkey/xmssmt/xmssmt_parameters.cpp create mode 100644 src/lib/pubkey/xmssmt/xmssmt_parameters.h create mode 100644 src/lib/pubkey/xmssmt/xmssmt_privatekey.cpp create mode 100644 src/lib/pubkey/xmssmt/xmssmt_publickey.cpp create mode 100644 src/lib/pubkey/xmssmt/xmssmt_signature.cpp create mode 100644 src/lib/pubkey/xmssmt/xmssmt_signature.h create mode 100644 src/lib/pubkey/xmssmt/xmssmt_signature_operation.cpp create mode 100644 src/lib/pubkey/xmssmt/xmssmt_signature_operation.h create mode 100644 src/lib/pubkey/xmssmt/xmssmt_verification_operation.cpp create mode 100644 src/lib/pubkey/xmssmt/xmssmt_verification_operation.h create mode 100644 src/tests/data/pubkey/xmssmt_invalid.vec create mode 100644 src/tests/data/pubkey/xmssmt_keygen.vec create mode 100644 src/tests/data/pubkey/xmssmt_sig.vec create mode 100644 src/tests/data/pubkey/xmssmt_verify.vec create mode 100644 src/tests/test_xmssmt.cpp diff --git a/doc/api_ref/pubkey.rst b/doc/api_ref/pubkey.rst index 28cbc28f811..4aab3fe429e 100644 --- a/doc/api_ref/pubkey.rst +++ b/doc/api_ref/pubkey.rst @@ -115,7 +115,7 @@ removed in a future major release. Returns true if this keys operation is stateful, that is if updating the key is required after each private operation. Currently the only stateful - schemes included are XMSS and LMS. + schemes included are XMSS, XMSS^MT, and LMS. .. cpp:function:: std::optional remaining_operations() const @@ -217,6 +217,20 @@ forged. environment carefully designed to maintain consistent state. Prefer the stateless SLH-DSA in new designs. +XMSS^MT +~~~~~~~~~ + +XMSS^MT is the multi-tree variant of XMSS. +It makes the generation of larger trees feasible which allows for more signatures. + + .. warning:: + + Maintaining consistent state without replays is extremely difficult, + especially when multiple machines are involved. Even a single error will + compromise the entire signature scheme. XMSS^MT should only be used in an + environment carefully designed to maintain consistent state. Prefer + the stateless SLH-DSA in new designs. + HSS-LMS ~~~~~~~ @@ -1043,6 +1057,7 @@ Botan implements the following signature algorithms: #. SLH-DSA. Takes the optional parameter ``Deterministic`` (default) or ``Randomized``. #. XMSS. Takes no parameter. +#. XMSSMT. Takes no parameter. #. HSS-LMS. Takes no parameter. .. _ecdsa_example: @@ -1614,6 +1629,102 @@ signature: .. literalinclude:: /../src/examples/xmss.cpp :language: cpp +Multi-Tree XMSS (XMSS^MT) +---------------------------------------- + +Botan implements the multi-tree version of the eXtended Merkle Signature +Scheme (XMSS^MT) using Winternitz One Time Signatures+ (WOTS+). The implementation +is based on `RFC 8391 "XMSS: eXtended Merkle Signature Scheme" +`_ +and `Recommendation for Stateful Hash-Based Signature Schemes +`_. + +.. warning:: + + XMSS^MT is stateful, meaning the private key updates after each signature + creation. Applications are responsible for updating their persistent secret + with the new output of ``Private_Key::private_key_bits()`` after each signature + creation. If the same private key is ever used to generate + two different signatures, then the scheme becomes insecure. For this reason, + it can be challenging to use XMSS^MT securely. + +XMSS^MT uses the Botan interfaces for public key cryptography. +The following algorithms are implemented: + +1. XMSSMT-SHA2_20/2_256 +#. XMSSMT-SHA2_20/4_256 +#. XMSSMT-SHA2_40/2_256 +#. XMSSMT-SHA2_40/4_256 +#. XMSSMT-SHA2_40/8_256 +#. XMSSMT-SHA2_60/3_256 +#. XMSSMT-SHA2_60/6_256 +#. XMSSMT-SHA2_60/12_256 +#. XMSSMT-SHA2_20/2_512 +#. XMSSMT-SHA2_20/4_512 +#. XMSSMT-SHA2_40/2_512 +#. XMSSMT-SHA2_40/4_512 +#. XMSSMT-SHA2_40/8_512 +#. XMSSMT-SHA2_60/3_512 +#. XMSSMT-SHA2_60/6_512 +#. XMSSMT-SHA2_60/12_512 +#. XMSSMT-SHAKE_20/2_256 +#. XMSSMT-SHAKE_20/4_256 +#. XMSSMT-SHAKE_40/2_256 +#. XMSSMT-SHAKE_40/4_256 +#. XMSSMT-SHAKE_40/8_256 +#. XMSSMT-SHAKE_60/3_256 +#. XMSSMT-SHAKE_60/6_256 +#. XMSSMT-SHAKE_60/12_256 +#. XMSSMT-SHAKE_20/2_512 +#. XMSSMT-SHAKE_20/4_512 +#. XMSSMT-SHAKE_40/2_512 +#. XMSSMT-SHAKE_40/4_512 +#. XMSSMT-SHAKE_40/8_512 +#. XMSSMT-SHAKE_60/3_512 +#. XMSSMT-SHAKE_60/6_512 +#. XMSSMT-SHAKE_60/12_512 +#. XMSSMT-SHA2_20/2_192 +#. XMSSMT-SHA2_20/4_192 +#. XMSSMT-SHA2_40/2_192 +#. XMSSMT-SHA2_40/4_192 +#. XMSSMT-SHA2_40/8_192 +#. XMSSMT-SHA2_60/3_192 +#. XMSSMT-SHA2_60/6_192 +#. XMSSMT-SHA2_60/12_192 +#. XMSSMT-SHAKE256_20/2_256 +#. XMSSMT-SHAKE256_20/4_256 +#. XMSSMT-SHAKE256_40/2_256 +#. XMSSMT-SHAKE256_40/4_256 +#. XMSSMT-SHAKE256_40/8_256 +#. XMSSMT-SHAKE256_60/3_256 +#. XMSSMT-SHAKE256_60/6_256 +#. XMSSMT-SHAKE256_60/12_256 +#. XMSSMT-SHAKE256_20/2_192 +#. XMSSMT-SHAKE256_20/4_192 +#. XMSSMT-SHAKE256_40/2_192 +#. XMSSMT-SHAKE256_40/4_192 +#. XMSSMT-SHAKE256_40/8_192 +#. XMSSMT-SHAKE256_60/3_192 +#. XMSSMT-SHAKE256_60/6_192 +#. XMSSMT-SHAKE256_60/12_192 + +The algorithm name contains the hash function name, tree height, number of layers, +and digest width defined by the corresponding parameter set. Choosing `XMSSMT-SHA2_20/2_256` +for instance will use the SHA2-256 hash function to generate a tree of height +twenty, divided into two layers (of equal height). + +.. _xmssmt_example: + +Code Example: XMSS^MT +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +The following code snippet shows a minimum example on how to create an XMSS^MT +public/private key pair and how to use these keys to create and verify a +signature: + +.. literalinclude:: /../src/examples/xmssmt.cpp + :language: cpp + Hierarchical Signature System with Leighton-Micali Hash-Based Signatures (HSS-LMS) ---------------------------------------------------------------------------------- diff --git a/doc/credits.rst b/doc/credits.rst index e472f072b23..c3567df4a41 100644 --- a/doc/credits.rst +++ b/doc/credits.rst @@ -160,6 +160,11 @@ snail-mail address (S), and Bitcoin address (B). D: TLS 1.3, Kyber, Dilithium S: Berlin, Germany + N: Johannes Roth + E: johannes.roth@posteo.de + D: XMSS^MT + S: Darmstadt, Germany + N: Amos Treiber E: amos.treiber@rohde-schwarz.com W: https://www.rohde-schwarz.com/cybersecurity diff --git a/doc/index.rst b/doc/index.rst index 61c3ac891c5..93b3d4f6e06 100644 --- a/doc/index.rst +++ b/doc/index.rst @@ -31,6 +31,7 @@ are listed below: * :ref:`ML-KEM ` * :ref:`RSA ` * :ref:`XMSS ` +* :ref:`XMSS^MT ` * :ref:`Stream Ciphers ` * :ref:`TLS Client ` * :ref:`TLS Client (PQC/hybrid) ` diff --git a/readme.rst b/readme.rst index 97084906f3e..dcfcb409c20 100644 --- a/readme.rst +++ b/readme.rst @@ -116,7 +116,7 @@ Public Key Cryptography * RSA signatures and encryption * DH, ECDH, X25519 and X448 key agreement * Elliptic curve signature schemes ECDSA, Ed25519, Ed448, ECGDSA, ECKCDSA, SM2 -* Post-quantum signature schemes ML-DSA (Dilithium), SLH-DSA (SPHINCS+), HSS/LMS, XMSS +* Post-quantum signature schemes ML-DSA (Dilithium), SLH-DSA (SPHINCS+), HSS/LMS, XMSS, XMSS^MT * Post-quantum key encapsulation schemes ML-KEM (Kyber), FrodoKEM, Classic McEliece Ciphers, hashes, MACs, and checksums diff --git a/src/build-data/oids.txt b/src/build-data/oids.txt index 62bd6fc3a83..5314130c616 100644 --- a/src/build-data/oids.txt +++ b/src/build-data/oids.txt @@ -127,6 +127,7 @@ 1.3.6.1.4.1.25258.1.8 = XMSS-draft12 # draft-vangeest-x509-hash-sigs-03 0.4.0.127.0.15.1.1.13.0 = XMSS +0.4.0.127.0.15.1.1.14.0 = XMSSMT # X9.62 ecPublicKey, valid for ECDSA and ECDH (RFC 3279 sec 2.3.5) 1.2.840.10045.2.1 = ECDSA diff --git a/src/cli/perf_pk_sig.cpp b/src/cli/perf_pk_sig.cpp index bf5fd0d59fd..fab93cc2034 100644 --- a/src/cli/perf_pk_sig.cpp +++ b/src/cli/perf_pk_sig.cpp @@ -272,6 +272,39 @@ BOTAN_REGISTER_PERF_TEST("XMSS", PerfTest_XMSS); #endif +#if defined(BOTAN_HAS_XMSSMT_RFC8391) + +class PerfTest_XMSSMT final : public PerfTest_PKSig { + public: + std::string algo() const override { return "XMSSMT"; } + + std::string hash() const override { return ""; } + + std::vector keygen_params(const PerfConfig& /*config*/) const override { + /* + Only test parameter sets that have height 5 or 10 subtrees. For larger trees, it is quite slow. + */ + return {"XMSSMT-SHA2_20/2_192", "XMSSMT-SHA2_20/4_192", "XMSSMT-SHA2_40/4_192", + "XMSSMT-SHA2_40/8_192", "XMSSMT-SHA2_60/6_192", "XMSSMT-SHA2_60/12_192", + "XMSSMT-SHAKE256_20/2_192", "XMSSMT-SHAKE256_20/4_192", "XMSSMT-SHAKE256_40/4_192", + "XMSSMT-SHAKE256_40/8_192", "XMSSMT-SHAKE256_60/6_192", "XMSSMT-SHAKE256_60/12_192", + "XMSSMT-SHA2_20/2_256", "XMSSMT-SHA2_20/4_256", "XMSSMT-SHA2_40/4_256", + "XMSSMT-SHA2_40/8_256", "XMSSMT-SHA2_60/6_256", "XMSSMT-SHA2_60/12_256", + "XMSSMT-SHAKE_20/2_256", "XMSSMT-SHAKE_20/4_256", "XMSSMT-SHAKE_40/4_256", + "XMSSMT-SHAKE_40/8_256", "XMSSMT-SHAKE_60/6_256", "XMSSMT-SHAKE_60/12_256", + "XMSSMT-SHAKE256_20/2_256", "XMSSMT-SHAKE256_20/4_256", "XMSSMT-SHAKE256_40/4_256", + "XMSSMT-SHAKE256_40/8_256", "XMSSMT-SHAKE256_60/6_256", "XMSSMT-SHAKE256_60/12_256", + "XMSSMT-SHA2_20/2_512", "XMSSMT-SHA2_20/4_512", "XMSSMT-SHA2_40/4_512", + "XMSSMT-SHA2_40/8_512", "XMSSMT-SHA2_60/6_512", "XMSSMT-SHA2_60/12_512", + "XMSSMT-SHAKE_20/2_512", "XMSSMT-SHAKE_20/4_512", "XMSSMT-SHAKE_40/4_512", + "XMSSMT-SHAKE_40/8_512", "XMSSMT-SHAKE_60/6_512", "XMSSMT-SHAKE_60/12_512"}; + } +}; + +BOTAN_REGISTER_PERF_TEST("XMSSMT", PerfTest_XMSSMT); + +#endif + #if defined(BOTAN_HAS_HSS_LMS) class PerfTest_HSS_LMS final : public PerfTest_PKSig { diff --git a/src/examples/xmssmt.cpp b/src/examples/xmssmt.cpp new file mode 100644 index 00000000000..881adc04001 --- /dev/null +++ b/src/examples/xmssmt.cpp @@ -0,0 +1,36 @@ +#include +#include +#include +#include + +#include +#include + +int main() { + // Create a random number generator used for key generation. + Botan::AutoSeeded_RNG rng; + + // create a new public/private key pair using SHA2 256 as hash + // function and a tree height of 20 with 2 layers. + const Botan::XMSSMT_PrivateKey private_key(Botan::XMSSMT_Parameters::xmssmt_algorithm_t::XMSSMT_SHA2_20_2_256, rng); + const Botan::XMSSMT_PublicKey& public_key(private_key); + + // create Public Key Signer using the private key. + Botan::PK_Signer signer(private_key, rng, ""); + + // create and sign a message using the Public Key Signer. + Botan::secure_vector msg{0x01, 0x02, 0x03, 0x04}; + auto sig = signer.sign_message(msg, rng); + + // create Public Key Verifier using the public key + Botan::PK_Verifier verifier(public_key, ""); + + // verify the signature for the previously generated message. + if(verifier.verify_message(msg, sig)) { + std::cout << "Success.\n"; + return 0; + } else { + std::cout << "Error.\n"; + return 1; + } +} diff --git a/src/lib/asn1/static_oids.cpp b/src/lib/asn1/static_oids.cpp index d34ea52ff5a..350708bdb22 100644 --- a/src/lib/asn1/static_oids.cpp +++ b/src/lib/asn1/static_oids.cpp @@ -208,6 +208,8 @@ std::optional OID_Map::lookup_static_oid(const OID& oid) { return if_match(oid, {1, 3, 36, 3, 2, 1}, "RIPEMD-160"); case 0x4266E: return if_match(oid, {0, 4, 0, 127, 0, 15, 1, 1, 13, 0}, "XMSS"); + case 0x4272F: + return if_match(oid, {0, 4, 0, 127, 0, 15, 1, 1, 14, 0}, "XMSSMT"); case 0x478C4: return if_match(oid, {1, 2, 410, 200004, 1, 4}, "SEED/CBC"); case 0x47D98: @@ -976,6 +978,8 @@ std::optional OID_Map::lookup_static_oid_name(std::string_view req) { return if_match(req, "eFrodoKEM-976-AES", {1, 3, 6, 1, 4, 1, 25258, 1, 17, 2}); case 0x4C513: return if_match(req, "DSA/SHA-224", {2, 16, 840, 1, 101, 3, 4, 3, 1}); + case 0x4C6C6: + return if_match(req, "XMSSMT", {0, 4, 0, 127, 0, 15, 1, 1, 14, 0}); case 0x4C806: return if_match(req, "DSA/SHA-256", {2, 16, 840, 1, 101, 3, 4, 3, 2}); case 0x4D740: diff --git a/src/lib/pubkey/pk_algs.cpp b/src/lib/pubkey/pk_algs.cpp index c4dbfefc7dc..dc3dcab888a 100644 --- a/src/lib/pubkey/pk_algs.cpp +++ b/src/lib/pubkey/pk_algs.cpp @@ -105,6 +105,10 @@ #include #endif +#if defined(BOTAN_HAS_XMSSMT_RFC8391) + #include +#endif + #if defined(BOTAN_HAS_SM2) #include #endif @@ -247,6 +251,12 @@ std::unique_ptr load_public_key(const AlgorithmIdentifier& alg_id, } #endif +#if defined(BOTAN_HAS_XMSSMT_RFC8391) + if(alg_name == "XMSSMT") { + return std::make_unique(key_bits); + } +#endif + #if defined(BOTAN_HAS_DILITHIUM) || defined(BOTAN_HAS_DILITHIUM_AES) if(alg_name == "Dilithium" || alg_name.starts_with("Dilithium-")) { return std::make_unique(alg_id, key_bits); @@ -406,6 +416,12 @@ std::unique_ptr load_private_key(const AlgorithmIdentifier& alg_id, } #endif +#if defined(BOTAN_HAS_XMSSMT_RFC8391) + if(alg_name == "XMSSMT") { + return std::make_unique(key_bits); + } +#endif + #if defined(BOTAN_HAS_DILITHIUM) || defined(BOTAN_HAS_DILITHIUM_AES) if(alg_name == "Dilithium" || alg_name.starts_with("Dilithium-")) { return std::make_unique(alg_id, key_bits); @@ -647,6 +663,19 @@ std::unique_ptr create_private_key(std::string_view alg_name, } #endif +#if defined(BOTAN_HAS_XMSSMT_RFC8391) + if(alg_name == "XMSSMT") { + const auto xmssmt_oid = [&]() -> XMSSMT_Parameters::xmssmt_algorithm_t { + if(params.empty()) { + return XMSSMT_Parameters::XMSSMT_SHA2_20_2_256; + } + return XMSSMT_Parameters(params).oid(); + }(); + + return std::make_unique(xmssmt_oid, rng); + } +#endif + #if defined(BOTAN_HAS_ED25519) if(alg_name == "Ed25519") { return std::make_unique(rng); diff --git a/src/lib/pubkey/pkcs8.cpp b/src/lib/pubkey/pkcs8.cpp index 53896e3c2d3..31c35f6d370 100644 --- a/src/lib/pubkey/pkcs8.cpp +++ b/src/lib/pubkey/pkcs8.cpp @@ -128,7 +128,7 @@ std::pair choose_pbe_params(std::string_view pbe_algo, * SIV or GCM. For others (RSA, ECDSA, ...) default to something widely * compatible. */ - const bool nonstandard_pk = (key_algo == "McEliece" || key_algo == "XMSS"); + const bool nonstandard_pk = (key_algo == "McEliece" || key_algo == "XMSS" || key_algo == "XMSSMT"); if(nonstandard_pk) { #if defined(BOTAN_HAS_AEAD_SIV) && defined(BOTAN_HAS_SHA2_64) diff --git a/src/lib/pubkey/xmss/info.txt b/src/lib/pubkey/xmss/info.txt index 65524407c49..ec8c75e7a89 100644 --- a/src/lib/pubkey/xmss/info.txt +++ b/src/lib/pubkey/xmss/info.txt @@ -9,11 +9,12 @@ name -> "XMSS" xmss.h xmss_parameters.h +xmss_wots_parameters.h xmss_address.h -xmss_common_ops.h +xmss_core.h xmss_hash.h xmss_signature.h xmss_signature_operation.h diff --git a/src/lib/pubkey/xmss/xmss.h b/src/lib/pubkey/xmss/xmss.h index 0d0d3f5681f..6ce105be3c3 100644 --- a/src/lib/pubkey/xmss/xmss.h +++ b/src/lib/pubkey/xmss/xmss.h @@ -128,8 +128,6 @@ class BOTAN_PUBLIC_API(2, 0) XMSS_PublicKey : public virtual Public_Key { template class Atomic; -class XMSS_Index_Registry; - /** * Determines how WOTS+ private keys are derived from the XMSS private key */ @@ -272,17 +270,11 @@ class BOTAN_PUBLIC_API(2, 0) XMSS_PrivateKey final : public virtual XMSS_PublicK * leftmost leaf being the hash of the WOTS+ pk with index * start_idx. **/ - secure_vector tree_hash(size_t start_idx, + secure_vector tree_hash(uint32_t start_idx, size_t target_node_height, - const XMSS_Address& adrs, + XMSS_Address adrs, XMSS_Hash& hash) const; - void tree_hash_subtree(secure_vector& result, - size_t start_idx, - size_t target_node_height, - XMSS_Address& adrs, - XMSS_Hash& hash) const; - std::shared_ptr m_private; }; diff --git a/src/lib/pubkey/xmss/xmss_address.h b/src/lib/pubkey/xmss/xmss_address.h index 58660ab68a1..363b26d8cff 100644 --- a/src/lib/pubkey/xmss/xmss_address.h +++ b/src/lib/pubkey/xmss/xmss_address.h @@ -42,34 +42,44 @@ class XMSS_Address final { enum class Key_Mask : uint8_t { Key_Mode = 0, Mask_Mode = 1, Mask_MSB_Mode = 1, Mask_LSB_Mode = 2 }; /** - * Layer Address for XMSS is constantly zero and can not be changed this - * property is only of relevance to XMSS_MT. + * retrieves the Layer Address. A call to this method is only required by XMSS_MT. + * The Layer Address is constantly zero for XMSS. + * For XMSS_MT it describes the height of the tree in the multi-tree structure. * - * @return Layer address, which is constant 0 for XMSS. + * @return Layer address. **/ - uint8_t get_layer_addr() const { return 0; } + uint32_t get_layer_addr() const { return get_hi32(0); } /** - * Layer Address for XMSS is constantly zero and can not be changed this - * property is only of relevance to XMSS_MT. Calling this method for - * XMSS will result in an error. + * sets the Layer Address. A call to this method is only required by XMSS_MT. + * The Layer Address is constantly zero for XMSS. + * For XMSS_MT it describes the height of the tree in the multi-tree structure. **/ - void set_layer_addr() { BOTAN_ASSERT(false, "Only available in XMSS_MT."); } + void set_layer_addr(uint32_t value) { set_hi32(0, value); } /** - * Tree Address for XMSS is constantly zero and can not be changed this - * property is only of relevance to XMSS_MT. + * retrieves the Tree Address. A call to this method is only required by XMSS_MT. + * The Tree Address is constantly zero for XMSS. + * For XMSS_MT it describes the position of the tree within its layer. * - * @return Tree address, which is constant 0 for XMSS. + * @return Tree address. **/ - uint64_t get_tree_addr() const { return 0; } + uint64_t get_tree_addr() const { + const uint64_t high = static_cast(get_lo32(0)); + const uint64_t low = static_cast(get_hi32(1)); + return (high << 32) | low; + } /** - * Tree Address for XMSS is constantly zero and can not be changed this - * property is only of relevance to XMSS_MT. Calling this method for - * XMSS will result in an error. + * sets the Tree Address. A call to this method is only required by XMSS_MT. + * The Tree Address is constantly zero for XMSS. + * For XMSS_MT it describes the position of the tree within its layer. + * **/ - void set_tree_addr() { BOTAN_ASSERT(false, "Only available in XMSS_MT."); } + void set_tree_addr(uint64_t value) { + set_lo32(0, static_cast(value >> 32)); + set_hi32(1, static_cast(value)); + } /** * retrieves the logical type currently assigned to the XMSS Address diff --git a/src/lib/pubkey/xmss/xmss_common_ops.cpp b/src/lib/pubkey/xmss/xmss_common_ops.cpp deleted file mode 100644 index 4c4b1640803..00000000000 --- a/src/lib/pubkey/xmss/xmss_common_ops.cpp +++ /dev/null @@ -1,69 +0,0 @@ -/* - * XMSS Common Ops - * Operations shared by XMSS signature generation and verification operations. - * (C) 2016,2017 Matthias Gierlings - * - * Botan is released under the Simplified BSD License (see license.txt) - **/ - -#include - -#include - -namespace Botan { - -void XMSS_Common_Ops::randomize_tree_hash(secure_vector& result, - const secure_vector& left, - const secure_vector& right, - XMSS_Address adrs, - const secure_vector& seed, - XMSS_Hash& hash, - const XMSS_Parameters& params) { - adrs.set_key_mask_mode(XMSS_Address::Key_Mask::Key_Mode); - secure_vector key; - hash.prf(key, seed, adrs.bytes()); - - adrs.set_key_mask_mode(XMSS_Address::Key_Mask::Mask_MSB_Mode); - secure_vector bitmask_l; - hash.prf(bitmask_l, seed, adrs.bytes()); - - adrs.set_key_mask_mode(XMSS_Address::Key_Mask::Mask_LSB_Mode); - secure_vector bitmask_r; - hash.prf(bitmask_r, seed, adrs.bytes()); - - BOTAN_ASSERT(bitmask_l.size() == left.size() && bitmask_r.size() == right.size(), - "Bitmask size doesn't match node size."); - - secure_vector concat_xor(params.element_size() * 2); - for(size_t i = 0; i < left.size(); i++) { - concat_xor[i] = left[i] ^ bitmask_l[i]; - concat_xor[i + left.size()] = right[i] ^ bitmask_r[i]; - } - - hash.h(result, key, concat_xor); -} - -void XMSS_Common_Ops::create_l_tree(secure_vector& result, - wots_keysig_t pk, - XMSS_Address adrs, - const secure_vector& seed, - XMSS_Hash& hash, - const XMSS_Parameters& params) { - size_t l = params.len(); - adrs.set_tree_height(0); - - while(l > 1) { - for(size_t i = 0; i < l >> 1; i++) { - adrs.set_tree_index(static_cast(i)); - randomize_tree_hash(pk[i], pk[2 * i], pk[2 * i + 1], adrs, seed, hash, params); - } - if((l & 0x01) == 0x01) { - pk[l >> 1] = pk[l - 1]; - } - l = (l >> 1) + (l & 0x01); - adrs.set_tree_height(adrs.get_tree_height() + 1); - } - result = pk[0]; -} - -} // namespace Botan diff --git a/src/lib/pubkey/xmss/xmss_common_ops.h b/src/lib/pubkey/xmss/xmss_common_ops.h deleted file mode 100644 index 88c6e4c6eda..00000000000 --- a/src/lib/pubkey/xmss/xmss_common_ops.h +++ /dev/null @@ -1,80 +0,0 @@ -/* - * XMSS Common Ops - * (C) 2016,2017 Matthias Gierlings - * - * Botan is released under the Simplified BSD License (see license.txt) - **/ - -#ifndef BOTAN_XMSS_COMMON_OPS_H_ -#define BOTAN_XMSS_COMMON_OPS_H_ - -#include -#include -#include -#include - -namespace Botan { - -class XMSS_Hash; - -typedef std::vector> wots_keysig_t; - -/** - * Operations shared by XMSS signature generation and verification operations. - **/ -class XMSS_Common_Ops { - public: - /** - * Algorithm 7: "RAND_HASH" - * - * Generates a randomized hash. - * - * This overload is used in multithreaded scenarios, where it is - * required to provide separate instances of XMSS_Hash to each - * thread. - * - * @param[out] result The resulting randomized hash. - * @param[in] left Left half of the hash function input. - * @param[in] right Right half of the hash function input. - * @param[in] adrs Address of the hash function call. - * @param[in] seed The seed for G. - * @param[in] hash Instance of XMSS_Hash, that may only by the thread - * executing generate_public_key. - * @param[in] params parameters - **/ - static void randomize_tree_hash(secure_vector& result, - const secure_vector& left, - const secure_vector& right, - XMSS_Address adrs, - const secure_vector& seed, - XMSS_Hash& hash, - const XMSS_Parameters& params); - - /** - * Algorithm 8: "ltree" - * Create an L-tree used to compute the leaves of the binary hash tree. - * Takes a WOTS+ public key and compresses it to a single n-byte value. - * - * This overload is used in multithreaded scenarios, where it is - * required to provide separate instances of XMSS_Hash to each thread. - * - * @param[out] result Public key compressed to a single n-byte value - * pk[0]. - * @param[in] pk Winternitz One Time Signatures+ public key. - * @param[in] adrs Address encoding the address of the L-Tree - * @param[in] seed The seed generated during the public key generation. - * @param[in] hash Instance of XMSS_Hash, that may only be used by the - * thread executing create_l_tree. - * @param[in] params parameters - **/ - static void create_l_tree(secure_vector& result, - wots_keysig_t pk, - XMSS_Address adrs, - const secure_vector& seed, - XMSS_Hash& hash, - const XMSS_Parameters& params); -}; - -} // namespace Botan - -#endif diff --git a/src/lib/pubkey/xmss/xmss_core.cpp b/src/lib/pubkey/xmss/xmss_core.cpp new file mode 100644 index 00000000000..8d145ee1a7a --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_core.cpp @@ -0,0 +1,289 @@ +/* + * XMSS Core + * Some core algorithms of XMSS that are shared across operations and with XMSS^MT + * (C) 2016,2017 Matthias Gierlings + * (C) 2019 Jack Lloyd + * (C) 2023 René Meusel - Rohde & Schwarz Cybersecurity + * (C) 2026 Johannes Roth + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#include + +#include +#include +#if defined(BOTAN_HAS_THREAD_UTILS) + #include +#endif +#include +#include + +namespace Botan { + +void XMSS_Core_Ops::randomize_tree_hash(secure_vector& result, + const secure_vector& left, + const secure_vector& right, + XMSS_Address adrs, + const secure_vector& seed, + XMSS_Hash& hash, + size_t xmss_element_size) { + adrs.set_key_mask_mode(XMSS_Address::Key_Mask::Key_Mode); + secure_vector key; + hash.prf(key, seed, adrs.bytes()); + + adrs.set_key_mask_mode(XMSS_Address::Key_Mask::Mask_MSB_Mode); + secure_vector bitmask_l; + hash.prf(bitmask_l, seed, adrs.bytes()); + + adrs.set_key_mask_mode(XMSS_Address::Key_Mask::Mask_LSB_Mode); + secure_vector bitmask_r; + hash.prf(bitmask_r, seed, adrs.bytes()); + + BOTAN_ASSERT(bitmask_l.size() == left.size() && bitmask_r.size() == right.size(), + "Bitmask size doesn't match node size."); + + secure_vector concat_xor(xmss_element_size * 2); + for(size_t i = 0; i < left.size(); i++) { + concat_xor[i] = left[i] ^ bitmask_l[i]; + concat_xor[i + left.size()] = right[i] ^ bitmask_r[i]; + } + + hash.h(result, key, concat_xor); +} + +void XMSS_Core_Ops::create_l_tree(secure_vector& result, + wots_keysig_t pk, + XMSS_Address adrs, + const secure_vector& seed, + XMSS_Hash& hash, + size_t xmss_element_size, + size_t xmss_wots_len) { + size_t l = xmss_wots_len; + adrs.set_tree_height(0); + + while(l > 1) { + for(size_t i = 0; i < l >> 1; i++) { + adrs.set_tree_index(static_cast(i)); + randomize_tree_hash(pk[i], pk[2 * i], pk[2 * i + 1], adrs, seed, hash, xmss_element_size); + } + if((l & 0x01) == 0x01) { + pk[l >> 1] = pk[l - 1]; + } + l = (l >> 1) + (l & 0x01); + adrs.set_tree_height(adrs.get_tree_height() + 1); + } + result = pk[0]; +} + +secure_vector XMSS_Core_Ops::root_from_signature(uint32_t idx_leaf, + const XMSS_TreeSignature& tree_sig, + const secure_vector& msg, + XMSS_Address adrs, + const secure_vector& seed, + XMSS_Hash& hash, + size_t xmss_element_size, + size_t xmss_tree_height, + size_t xmss_wots_len, + XMSS_WOTS_Parameters::ots_algorithm_t ots_oid) { + BOTAN_ASSERT_NOMSG(xmss_tree_height > 0 && xmss_tree_height < 32); + adrs.set_type(XMSS_Address::Type::OTS_Hash_Address); + adrs.set_ots_address(idx_leaf); + + const XMSS_WOTS_Parameters wots_params(ots_oid); + const XMSS_WOTS_PublicKey pub_key_ots(wots_params, seed, tree_sig.ots_signature, msg, adrs, hash); + + adrs.set_type(XMSS_Address::Type::LTree_Address); + adrs.set_ltree_address(idx_leaf); + + std::array, 2> node; + XMSS_Core_Ops::create_l_tree(node[0], pub_key_ots.key_data(), adrs, seed, hash, xmss_element_size, xmss_wots_len); + + adrs.set_type(XMSS_Address::Type::Hash_Tree_Address); + adrs.set_tree_index(idx_leaf); + + for(size_t k = 0; k < xmss_tree_height; k++) { + adrs.set_tree_height(static_cast(k)); + if(((idx_leaf / (static_cast(1) << k)) & 0x01) == 0) { + adrs.set_tree_index(adrs.get_tree_index() >> 1); + XMSS_Core_Ops::randomize_tree_hash( + node[1], node[0], tree_sig.authentication_path[k], adrs, seed, hash, xmss_element_size); + } else { + adrs.set_tree_index((adrs.get_tree_index() - 1) >> 1); + XMSS_Core_Ops::randomize_tree_hash( + node[1], tree_sig.authentication_path[k], node[0], adrs, seed, hash, xmss_element_size); + } + node[0] = node[1]; + } + + return node[0]; +} + +secure_vector XMSS_Core_Ops::tree_hash( + uint32_t start_idx, + size_t target_node_height, + XMSS_Address adrs, + XMSS_Hash& hash, + const XMSS_WOTS_Parameters& wots_params, + const secure_vector& public_seed, + const std::function& wots_public_key_for_fn) { + BOTAN_ASSERT_NOMSG(target_node_height <= 30); + BOTAN_ASSERT((start_idx % (static_cast(1) << target_node_height)) == 0, + "Start index must be divisible by 2^{target node height}."); + +#if defined(BOTAN_HAS_THREAD_UTILS) + // determine number of parallel tasks to split the tree_hashing into. + + Thread_Pool& thread_pool = Thread_Pool::global_instance(); + + const size_t split_level = std::min(target_node_height, thread_pool.worker_count()); + + // skip parallelization overhead for leaf nodes. + if(split_level == 0) { + secure_vector result; + tree_hash_subtree( + result, start_idx, target_node_height, adrs, hash, wots_params, public_seed, wots_public_key_for_fn); + return result; + } + + const size_t subtrees = static_cast(1) << split_level; + const uint32_t last_idx = (static_cast(1) << (target_node_height)) + start_idx; + const uint32_t offs = (last_idx - start_idx) / static_cast(subtrees); + // this cast cannot overflow because target_node_height is limited + uint8_t level = static_cast(split_level); // current level in the tree + + BOTAN_ASSERT((last_idx - start_idx) % subtrees == 0, + "Number of worker threads in tree_hash need to divide range " + "of calculated nodes."); + + std::vector> nodes(subtrees, secure_vector(wots_params.element_size())); + std::vector node_addresses(subtrees, adrs); + std::vector xmss_hash(subtrees, hash); + std::vector> work_treehash; + std::vector> work_randthash; + + // Calculate multiple subtrees in parallel. + for(size_t i = 0; i < subtrees; i++) { + node_addresses[i].set_type(XMSS_Address::Type::Hash_Tree_Address); + + using tree_hash_subtree_fn_t = + XMSS_Address (*)(secure_vector&, + uint32_t, + size_t, + XMSS_Address, + XMSS_Hash&, + const XMSS_WOTS_Parameters&, + const secure_vector&, + const std::function&); + + const tree_hash_subtree_fn_t work_fn = &XMSS_Core_Ops::tree_hash_subtree; + + work_treehash.push_back(thread_pool.run(work_fn, + std::ref(nodes[i]), + start_idx + static_cast(i) * offs, + target_node_height - split_level, + node_addresses[i], + std::ref(xmss_hash[i]), + std::cref(wots_params), + std::cref(public_seed), + std::cref(wots_public_key_for_fn))); + } + + for(size_t i = 0; i < work_treehash.size(); i++) { + // retrieve the addresses for the computed nodes + node_addresses[i] = work_treehash[i].get(); + } + work_treehash.clear(); + + // Parallelize the top tree levels horizontally + while(level-- > 1) { + std::vector> ro_nodes(nodes.begin(), + nodes.begin() + (static_cast(1) << (level + 1))); + + for(size_t i = 0; i < (static_cast(1) << level); i++) { + BOTAN_ASSERT_NOMSG(xmss_hash.size() > i); + + node_addresses[i].set_tree_height(static_cast(target_node_height - (level + 1))); + node_addresses[i].set_tree_index((node_addresses[2 * i + 1].get_tree_index() - 1) >> 1); + + work_randthash.push_back(thread_pool.run(&XMSS_Core_Ops::randomize_tree_hash, + std::ref(nodes[i]), + std::cref(ro_nodes[2 * i]), + std::cref(ro_nodes[2 * i + 1]), + std::ref(node_addresses[i]), + std::cref(public_seed), + std::ref(xmss_hash[i]), + wots_params.element_size())); + } + + for(auto& w : work_randthash) { + w.get(); + } + work_randthash.clear(); + } + + // Avoid creation an extra thread to calculate root node. + node_addresses[0].set_tree_height(static_cast(target_node_height - 1)); + node_addresses[0].set_tree_index((node_addresses[1].get_tree_index() - 1) >> 1); + XMSS_Core_Ops::randomize_tree_hash( + nodes[0], nodes[0], nodes[1], node_addresses[0], public_seed, hash, wots_params.element_size()); + return nodes[0]; +#else + secure_vector result; + tree_hash_subtree( + result, start_idx, target_node_height, adrs, hash, wots_params, public_seed, wots_public_key_for_fn); + return result; +#endif +} + +XMSS_Address XMSS_Core_Ops::tree_hash_subtree( + secure_vector& result, + uint32_t start_idx, + size_t target_node_height, + XMSS_Address adrs, + XMSS_Hash& hash, + const XMSS_WOTS_Parameters& wots_params, + const secure_vector& public_seed, + const std::function& wots_public_key_for_fn) { + std::vector> nodes(target_node_height + 1, + secure_vector(wots_params.element_size())); + + // node stack, holds all nodes on stack and one extra "pending" node. This + // temporary node referred to as "node" in the XMSS standard document stays + // a pending element, meaning it is not regarded as element on the stack + // until level is increased. + std::vector node_levels(target_node_height + 1); + + uint8_t level = 0; // current level on the node stack. + const uint32_t last_idx = (static_cast(1) << target_node_height) + start_idx; + + for(uint32_t i = start_idx; i < last_idx; i++) { + adrs.set_type(XMSS_Address::Type::OTS_Hash_Address); + adrs.set_ots_address(static_cast(i)); + const XMSS_WOTS_PublicKey pk = wots_public_key_for_fn(adrs, hash); + + adrs.set_type(XMSS_Address::Type::LTree_Address); + adrs.set_ltree_address(static_cast(i)); + XMSS_Core_Ops::create_l_tree( + nodes[level], pk.key_data(), adrs, public_seed, hash, wots_params.element_size(), wots_params.len()); + node_levels[level] = 0; + + adrs.set_type(XMSS_Address::Type::Hash_Tree_Address); + adrs.set_tree_index(static_cast(i)); + + while(level > 0 && node_levels[level] == node_levels[level - 1]) { + adrs.set_tree_index(((adrs.get_tree_index() - 1) >> 1)); + XMSS_Core_Ops::randomize_tree_hash( + nodes[level - 1], nodes[level - 1], nodes[level], adrs, public_seed, hash, wots_params.element_size()); + node_levels[level - 1]++; + level--; //Pop stack top element + adrs.set_tree_height(adrs.get_tree_height() + 1); + } + level++; //push temporary node to stack + } + result = nodes[level - 1]; + + return adrs; +} + +} // namespace Botan diff --git a/src/lib/pubkey/xmss/xmss_core.h b/src/lib/pubkey/xmss/xmss_core.h new file mode 100644 index 00000000000..9fc51795c22 --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_core.h @@ -0,0 +1,161 @@ +/* + * XMSS Core Operations + * (C) 2016,2017 Matthias Gierlings + * (C) 2019 Jack Lloyd + * (C) 2023 René Meusel - Rohde & Schwarz Cybersecurity + * (C) 2026 Johannes Roth + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#ifndef BOTAN_XMSS_CORE_H_ +#define BOTAN_XMSS_CORE_H_ + +#include +#include +#include +#include +#include +#include + +namespace Botan { + +class XMSS_Hash; + +typedef std::vector> wots_keysig_t; + +struct XMSS_TreeSignature final { + public: + wots_keysig_t ots_signature; + wots_keysig_t authentication_path; +}; + +/** + * Some core algorithms of XMSS that are shared across operations and with XMSS^MT + **/ +class XMSS_Core_Ops { + public: + /** + * Algorithm 7: "RAND_HASH" + * + * Generates a randomized hash. + * + * This overload is used in multithreaded scenarios, where it is + * required to provide separate instances of XMSS_Hash to each + * thread. + * + * @param[out] result The resulting randomized hash. + * @param[in] left Left half of the hash function input. + * @param[in] right Right half of the hash function input. + * @param[in] adrs Address of the hash function call. + * @param[in] seed The seed for G. + * @param[in] hash Instance of XMSS_Hash, that may only by the thread + * executing generate_public_key. + * @param[in] xmss_element_size Size of a node in XMSS. + **/ + static void randomize_tree_hash(secure_vector& result, + const secure_vector& left, + const secure_vector& right, + XMSS_Address adrs, + const secure_vector& seed, + XMSS_Hash& hash, + size_t xmss_element_size); + + /** + * Algorithm 8: "ltree" + * Create an L-tree used to compute the leaves of the binary hash tree. + * Takes a WOTS+ public key and compresses it to a single n-byte value. + * + * This overload is used in multithreaded scenarios, where it is + * required to provide separate instances of XMSS_Hash to each thread. + * + * @param[out] result Public key compressed to a single n-byte value + * pk[0]. + * @param[in] pk Winternitz One Time Signatures+ public key. + * @param[in] adrs Address encoding the address of the L-Tree + * @param[in] seed The seed generated during the public key generation. + * @param[in] hash Instance of XMSS_Hash, that may only be used by the + * thread executing create_l_tree. + * @param[in] xmss_element_size Size of a node in XMSS. + * @param[in] xmss_wots_len WOTS+ len value. + **/ + static void create_l_tree(secure_vector& result, + wots_keysig_t pk, + XMSS_Address adrs, + const secure_vector& seed, + XMSS_Hash& hash, + size_t xmss_element_size, + size_t xmss_wots_len); + + /** + * Algorithm 13: "XMSS_rootFromSig" + * Computes a root node using a (reduced) XMSS signature, a message and a seed. + * + * @param[in] idx_leaf Index of the leaf node. + * @param[in] tree_sig A reduced XMSS signature. + * @param[in] msg A message (or intermediate root node for XMSS^MT). + * @param[in] adrs A XMSS tree address. + * @param[in] seed The public seed. + * @param[in] hash a XMSS_Hash instance. + * @param[in] xmss_element_size Size of a node in XMSS. + * @param[in] xmss_tree_height The XMSS tree height (height of one subtree for XMSS^MT). + * @param[in] xmss_wots_len WOTS+ len value. + * @param[in] ots_oid The OID for the used OTS algorithm. + * + * @return An n-byte string holding the value of the root of a tree + * defined by the input parameters. + **/ + static secure_vector root_from_signature(uint32_t idx_leaf, + const XMSS_TreeSignature& tree_sig, + const secure_vector& msg, + XMSS_Address adrs, + const secure_vector& seed, + XMSS_Hash& hash, + size_t xmss_element_size, + size_t xmss_tree_height, + size_t xmss_wots_len, + XMSS_WOTS_Parameters::ots_algorithm_t ots_oid); + + /** + * Algorithm 9: "treeHash" + * Computes the internal n-byte nodes of a Merkle tree. + * + * @param start_idx The start index. + * @param target_node_height Height of the target node. + * @param adrs Address of the tree containing the target node. + * @param hash Instance of XMSS_Hash, that may only by the thread + * executing generate_public_key. + * @param wots_params WOTS+ parameters. + * @param public_seed The public seed. + * @param wots_public_key_for_fn function pointer to the private-key wots_public_key_for() method + * + * @return The root node of a tree of height target_node height with the + * leftmost leaf being the hash of the WOTS+ pk with index + * start_idx. + **/ + static secure_vector tree_hash( + uint32_t start_idx, + size_t target_node_height, + XMSS_Address adrs, + XMSS_Hash& hash, + const XMSS_WOTS_Parameters& wots_params, + const secure_vector& public_seed, + const std::function& wots_public_key_for_fn); + + /** + * Helper for multithreaded tree hashing. + */ + static XMSS_Address tree_hash_subtree( + secure_vector& result, + uint32_t start_idx, + size_t target_node_height, + XMSS_Address adrs, + XMSS_Hash& hash, + const XMSS_WOTS_Parameters& wots_params, + const secure_vector& public_seed, + const std::function& wots_public_key_for); +}; + +} // namespace Botan + +#endif diff --git a/src/lib/pubkey/xmss/xmss_hash.cpp b/src/lib/pubkey/xmss/xmss_hash.cpp index f7dc425563d..17527174e8b 100644 --- a/src/lib/pubkey/xmss/xmss_hash.cpp +++ b/src/lib/pubkey/xmss/xmss_hash.cpp @@ -32,6 +32,17 @@ XMSS_Hash::XMSS_Hash(const XMSS_Parameters& params) : BOTAN_ASSERT(m_hash->output_length() > 0, "Hash output length of zero is invalid."); } +XMSS_Hash::XMSS_Hash(std::string_view hash_function_name, size_t hash_id_size) : + m_hash(HashFunction::create(hash_function_name)), + m_msg_hash(HashFunction::create(hash_function_name)), + m_zero_padding(hash_id_size - 1 /* hash IDs are a single uint8_t */) { + if(!m_hash || !m_msg_hash) { + throw Lookup_Error(fmt("XMSS cannot use hash {} because it is unavailable", hash_function_name)); + } + + BOTAN_ASSERT(m_hash->output_length() > 0, "Hash output length of zero is invalid."); +} + void XMSS_Hash::h_msg_init(std::span randomness, std::span root, std::span index_bytes) { diff --git a/src/lib/pubkey/xmss/xmss_hash.h b/src/lib/pubkey/xmss/xmss_hash.h index 4661700b1f0..8b494fc1b46 100644 --- a/src/lib/pubkey/xmss/xmss_hash.h +++ b/src/lib/pubkey/xmss/xmss_hash.h @@ -23,6 +23,7 @@ class XMSS_Parameters; class XMSS_Hash final { public: explicit XMSS_Hash(const XMSS_Parameters& params); + explicit XMSS_Hash(std::string_view hash_function_name, size_t hash_id_size); // for XMSS^MT XMSS_Hash(const XMSS_Hash& hash); XMSS_Hash(XMSS_Hash&& hash) = default; diff --git a/src/lib/pubkey/xmss/xmss_parameters.h b/src/lib/pubkey/xmss/xmss_parameters.h index 162db8516e0..2659b254e1f 100644 --- a/src/lib/pubkey/xmss/xmss_parameters.h +++ b/src/lib/pubkey/xmss/xmss_parameters.h @@ -8,114 +8,15 @@ #ifndef BOTAN_XMSS_PARAMETERS_H_ #define BOTAN_XMSS_PARAMETERS_H_ -#include #include +#include + #include #include namespace Botan { -/** - * Describes a signature method for XMSS Winternitz One Time Signatures, - * as defined in: - * [1] XMSS: Extended Hash-Based Signatures, - * Request for Comments: 8391 - * Release: May 2018. - * https://datatracker.ietf.org/doc/rfc8391/ - * [2] Recommendation for Stateful Hash-Based Signature Schemes - * NIST Special Publication 800-208 - * Release: October 2020. - * https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.800-208.pdf - **/ -class BOTAN_PUBLIC_API(2, 0) XMSS_WOTS_Parameters final { - public: - enum ots_algorithm_t : uint32_t /* NOLINT(*-enum-size,*-use-enum-class) */ { - // from RFC 8391 - WOTSP_SHA2_256 = 0x00000001, - - // from RFC 8391 but not approved by NIST SP.800-208 - // (see footnote on page 16) - WOTSP_SHA2_512 = 0x00000002, - WOTSP_SHAKE_256 = 0x00000003, - WOTSP_SHAKE_512 = 0x00000004, - - // from NIST SP.800-208 - WOTSP_SHA2_192 = 0x00000005, - WOTSP_SHAKE_256_256 = 0x00000006, - WOTSP_SHAKE_256_192 = 0x00000007, - }; - - explicit XMSS_WOTS_Parameters(std::string_view algo_name); - - BOTAN_FUTURE_EXPLICIT XMSS_WOTS_Parameters(ots_algorithm_t ots_spec); - - static ots_algorithm_t xmss_wots_id_from_string(std::string_view param_set); - - /** - * Algorithm 1: convert input string to base. - * - * @param msg Input string (referred to as X in [1]). - * @param out_size size of message in base w. - * - * @return Input string converted to the given base. - **/ - secure_vector base_w(const secure_vector& msg, size_t out_size) const; - - secure_vector base_w(size_t value) const; - - void append_checksum(secure_vector& data) const; - - /** - * @return XMSS WOTS registry name for the chosen parameter set. - **/ - const std::string& name() const { return m_name; } - - /** - * Retrieves the uniform length of a message, and the size of - * each node. This correlates to XMSS parameter "n" defined - * in [1]. - * - * @return element length in bytes. - **/ - size_t element_size() const { return m_element_size; } - - /** - * The Winternitz parameter. - * - * @return numeric base used for internal representation of - * data. - **/ - size_t wots_parameter() const { return m_w; } - - size_t len() const { return m_len; } - - size_t len_1() const { return m_len_1; } - - size_t len_2() const { return m_len_2; } - - size_t lg_w() const { return m_lg_w; } - - ots_algorithm_t oid() const { return m_oid; } - - size_t estimated_strength() const { return m_strength; } - - bool operator==(const XMSS_WOTS_Parameters& p) const { return m_oid == p.m_oid; } - - private: - static const std::map m_oid_name_lut; - ots_algorithm_t m_oid; - std::string m_name; - std::string m_hash_name; - size_t m_element_size; - size_t m_w; - size_t m_len_1; - size_t m_len_2; - size_t m_len; - size_t m_strength; - uint8_t m_lg_w; -}; - /** * Describes a signature method for XMSS, as defined in: * [1] XMSS: Extended Hash-Based Signatures, diff --git a/src/lib/pubkey/xmss/xmss_privatekey.cpp b/src/lib/pubkey/xmss/xmss_privatekey.cpp index 49628c4d4c8..ea140b7a0fa 100644 --- a/src/lib/pubkey/xmss/xmss_privatekey.cpp +++ b/src/lib/pubkey/xmss/xmss_privatekey.cpp @@ -26,7 +26,7 @@ #include #include #include -#include +#include #include #include @@ -216,152 +216,18 @@ XMSS_PrivateKey::XMSS_PrivateKey(XMSS_Parameters::xmss_algorithm_t xmss_algo_id, "XMSS: unexpected byte length of private seed"); } -secure_vector XMSS_PrivateKey::tree_hash(size_t start_idx, +secure_vector XMSS_PrivateKey::tree_hash(uint32_t start_idx, size_t target_node_height, - const XMSS_Address& adrs, + XMSS_Address adrs, XMSS_Hash& hash) const { - BOTAN_ASSERT_NOMSG(target_node_height <= 30); - BOTAN_ASSERT((start_idx % (static_cast(1) << target_node_height)) == 0, - "Start index must be divisible by 2^{target node height}."); - -#if defined(BOTAN_HAS_THREAD_UTILS) - // determine number of parallel tasks to split the tree_hashing into. - - Thread_Pool& thread_pool = Thread_Pool::global_instance(); - - const size_t split_level = std::min(target_node_height, thread_pool.worker_count()); - - // skip parallelization overhead for leaf nodes. - if(split_level == 0) { - secure_vector result; - XMSS_Address subtree_addr(adrs); - tree_hash_subtree(result, start_idx, target_node_height, subtree_addr, hash); - return result; - } - - const size_t subtrees = static_cast(1) << split_level; - const size_t last_idx = (static_cast(1) << (target_node_height)) + start_idx; - const size_t offs = (last_idx - start_idx) / subtrees; - // this cast cannot overflow because target_node_height is limited - uint8_t level = static_cast(split_level); // current level in the tree - - BOTAN_ASSERT((last_idx - start_idx) % subtrees == 0, - "Number of worker threads in tree_hash need to divide range " - "of calculated nodes."); - - std::vector> nodes(subtrees, - secure_vector(XMSS_PublicKey::m_xmss_params.element_size())); - std::vector node_addresses(subtrees, adrs); - std::vector xmss_hash(subtrees, hash); - std::vector> work; - - // Calculate multiple subtrees in parallel. - for(size_t i = 0; i < subtrees; i++) { - using tree_hash_subtree_fn_t = - void (XMSS_PrivateKey::*)(secure_vector&, size_t, size_t, XMSS_Address&, XMSS_Hash&) const; - - const tree_hash_subtree_fn_t work_fn = &XMSS_PrivateKey::tree_hash_subtree; - - work.push_back(thread_pool.run(work_fn, - this, - std::ref(nodes[i]), - start_idx + i * offs, - target_node_height - split_level, - std::ref(node_addresses[i]), - std::ref(xmss_hash[i]))); - } - - for(auto& w : work) { - w.get(); - } - work.clear(); - - // Parallelize the top tree levels horizontally - while(level-- > 1) { - std::vector> ro_nodes(nodes.begin(), - nodes.begin() + (static_cast(1) << (level + 1))); - - for(size_t i = 0; i < (static_cast(1) << level); i++) { - BOTAN_ASSERT_NOMSG(xmss_hash.size() > i); - - node_addresses[i].set_tree_height(static_cast(target_node_height - (level + 1))); - node_addresses[i].set_tree_index((node_addresses[2 * i + 1].get_tree_index() - 1) >> 1); - - work.push_back(thread_pool.run(&XMSS_Common_Ops::randomize_tree_hash, - std::ref(nodes[i]), - std::cref(ro_nodes[2 * i]), - std::cref(ro_nodes[2 * i + 1]), - node_addresses[i], - std::cref(this->public_seed()), - std::ref(xmss_hash[i]), - std::cref(m_xmss_params))); - } - - for(auto& w : work) { - w.get(); - } - work.clear(); - } - - // Avoid creation an extra thread to calculate root node. - node_addresses[0].set_tree_height(static_cast(target_node_height - 1)); - node_addresses[0].set_tree_index((node_addresses[1].get_tree_index() - 1) >> 1); - XMSS_Common_Ops::randomize_tree_hash( - nodes[0], nodes[0], nodes[1], node_addresses[0], this->public_seed(), hash, m_xmss_params); - return nodes[0]; -#else - secure_vector result; - XMSS_Address subtree_addr(adrs); - tree_hash_subtree(result, start_idx, target_node_height, subtree_addr, hash); - return result; -#endif -} - -void XMSS_PrivateKey::tree_hash_subtree(secure_vector& result, - size_t start_idx, - size_t target_node_height, - XMSS_Address& adrs, - XMSS_Hash& hash) const { - const secure_vector& seed = this->public_seed(); - - std::vector> nodes(target_node_height + 1, - secure_vector(XMSS_PublicKey::m_xmss_params.element_size())); - - // node stack, holds all nodes on stack and one extra "pending" node. This - // temporary node referred to as "node" in the XMSS standard document stays - // a pending element, meaning it is not regarded as element on the stack - // until level is increased. - std::vector node_levels(target_node_height + 1); - - uint8_t level = 0; // current level on the node stack. - const size_t last_idx = (static_cast(1) << target_node_height) + start_idx; - - for(size_t i = start_idx; i < last_idx; i++) { - adrs.set_type(XMSS_Address::Type::OTS_Hash_Address); - adrs.set_ots_address(static_cast(i)); - - const XMSS_WOTS_PublicKey pk = this->wots_public_key_for(adrs, hash); - - adrs.set_type(XMSS_Address::Type::LTree_Address); - adrs.set_ltree_address(static_cast(i)); - XMSS_Common_Ops::create_l_tree(nodes[level], pk.key_data(), adrs, seed, hash, m_xmss_params); - node_levels[level] = 0; - - adrs.set_type(XMSS_Address::Type::Hash_Tree_Address); - adrs.set_tree_height(0); - adrs.set_tree_index(static_cast(i)); - - while(level > 0 && node_levels[level] == node_levels[level - 1]) { - adrs.set_tree_index(((adrs.get_tree_index() - 1) >> 1)); - XMSS_Common_Ops::randomize_tree_hash( - nodes[level - 1], nodes[level - 1], nodes[level], adrs, seed, hash, m_xmss_params); - node_levels[level - 1]++; - level--; //Pop stack top element - adrs.set_tree_height(adrs.get_tree_height() + 1); - } - level++; //push temporary node to stack - } - result = nodes[level - 1]; + return XMSS_Core_Ops::tree_hash( + start_idx, + target_node_height, + adrs, + hash, + m_private->wots_parameters(), + this->public_seed(), + [this](XMSS_Address adrs_inner, XMSS_Hash& hash_inner) { return wots_public_key_for(adrs_inner, hash_inner); }); } XMSS_WOTS_PublicKey XMSS_PrivateKey::wots_public_key_for(const XMSS_Address& adrs, XMSS_Hash& hash) const { diff --git a/src/lib/pubkey/xmss/xmss_publickey.cpp b/src/lib/pubkey/xmss/xmss_publickey.cpp index 2b6ef0d67af..0deccb1af84 100644 --- a/src/lib/pubkey/xmss/xmss_publickey.cpp +++ b/src/lib/pubkey/xmss/xmss_publickey.cpp @@ -43,7 +43,7 @@ XMSS_Parameters::xmss_algorithm_t deserialize_xmss_oid(std::span } // fall back to raw decoding for previous versions, which did not encode an OCTET STRING -std::vector extract_raw_public_key(std::span key_bits) { +std::vector extract_raw_xmss_public_key(std::span key_bits) { std::vector raw_key; try { BER_Decoder(key_bits).decode(raw_key, ASN1_Type::OctetString).verify_end(); @@ -74,7 +74,7 @@ XMSS_PublicKey::XMSS_PublicKey(XMSS_Parameters::xmss_algorithm_t xmss_oid, Rando m_public_seed(rng.random_vec(m_xmss_params.element_size())) {} XMSS_PublicKey::XMSS_PublicKey(std::span key_bits) : - m_raw_key(extract_raw_public_key(key_bits)), + m_raw_key(extract_raw_xmss_public_key(key_bits)), m_xmss_params(deserialize_xmss_oid(m_raw_key)), m_wots_params(m_xmss_params.ots_oid()) { if(m_raw_key.size() < m_xmss_params.raw_public_key_size()) { diff --git a/src/lib/pubkey/xmss/xmss_signature.h b/src/lib/pubkey/xmss/xmss_signature.h index 7b4266ff32e..6550e4fa502 100644 --- a/src/lib/pubkey/xmss/xmss_signature.h +++ b/src/lib/pubkey/xmss/xmss_signature.h @@ -12,6 +12,7 @@ #include #include #include +#include #include namespace Botan { @@ -20,13 +21,6 @@ namespace Botan { * Helper class for marshalling an XMSS signature */ class XMSS_Signature final { - public: - struct TreeSignature final { - public: - wots_keysig_t ots_signature; - wots_keysig_t authentication_path; - }; - public: /** * Creates a signature from an XMSS signature method and a uint8_t sequence @@ -46,14 +40,14 @@ class XMSS_Signature final { * @param randomness A random value. * @param tree_sig A tree signature. **/ - XMSS_Signature(size_t leaf_idx, secure_vector randomness, XMSS_Signature::TreeSignature tree_sig) : + XMSS_Signature(size_t leaf_idx, secure_vector randomness, XMSS_TreeSignature tree_sig) : m_leaf_idx(leaf_idx), m_randomness(std::move(randomness)), m_tree_sig(std::move(tree_sig)) {} size_t unused_leaf_index() const { return m_leaf_idx; } const secure_vector& randomness() const { return m_randomness; } - const XMSS_Signature::TreeSignature& tree() const { return m_tree_sig; } + const XMSS_TreeSignature& tree() const { return m_tree_sig; } // These mutating operations should be removed: void set_unused_leaf_idx(size_t idx) { m_leaf_idx = idx; } @@ -62,9 +56,9 @@ class XMSS_Signature final { void set_randomness(secure_vector randomness) { m_randomness = std::move(randomness); } - XMSS_Signature::TreeSignature& tree() { return m_tree_sig; } + XMSS_TreeSignature& tree() { return m_tree_sig; } - void set_tree(XMSS_Signature::TreeSignature tree_sig) { m_tree_sig = std::move(tree_sig); } + void set_tree(XMSS_TreeSignature tree_sig) { m_tree_sig = std::move(tree_sig); } /** * Generates a serialized representation of XMSS Signature by @@ -83,7 +77,7 @@ class XMSS_Signature final { private: size_t m_leaf_idx; secure_vector m_randomness; - XMSS_Signature::TreeSignature m_tree_sig; + XMSS_TreeSignature m_tree_sig; }; } // namespace Botan diff --git a/src/lib/pubkey/xmss/xmss_signature_operation.cpp b/src/lib/pubkey/xmss/xmss_signature_operation.cpp index 7f6a34b939d..5a2dfacbe28 100644 --- a/src/lib/pubkey/xmss/xmss_signature_operation.cpp +++ b/src/lib/pubkey/xmss/xmss_signature_operation.cpp @@ -16,6 +16,7 @@ #include +#include #include namespace Botan { @@ -50,14 +51,14 @@ std::vector XMSS_Signature_Operation::sign(RandomNumberGenerator& /*rng adrs.set_type(XMSS_Address::Type::Hash_Tree_Address); for(size_t j = 0; j < params.tree_height(); j++) { - const size_t k = (m_leaf_idx / (static_cast(1) << j)) ^ 0x01; - auth_path[j] = m_priv_key.tree_hash(k * (static_cast(1) << j), j, adrs, m_hash); + const uint32_t k = (m_leaf_idx / (static_cast(1) << j)) ^ 0x01; + auth_path[j] = m_priv_key.tree_hash(k * (static_cast(1) << j), j, adrs, m_hash); } adrs.set_type(XMSS_Address::Type::OTS_Hash_Address); adrs.set_ots_address(m_leaf_idx); - XMSS_Signature::TreeSignature tree_sig; + XMSS_TreeSignature tree_sig; tree_sig.authentication_path = auth_path; tree_sig.ots_signature = m_priv_key.wots_private_key_for(adrs, m_hash).sign(msg_hash, m_priv_key.public_seed(), adrs, m_hash); diff --git a/src/lib/pubkey/xmss/xmss_verification_operation.cpp b/src/lib/pubkey/xmss/xmss_verification_operation.cpp index b67d0487fa7..e52b9fdf56a 100644 --- a/src/lib/pubkey/xmss/xmss_verification_operation.cpp +++ b/src/lib/pubkey/xmss/xmss_verification_operation.cpp @@ -10,7 +10,7 @@ #include -#include +#include #include #include @@ -19,52 +19,26 @@ namespace Botan { XMSS_Verification_Operation::XMSS_Verification_Operation(const XMSS_PublicKey& public_key) : m_pub_key(public_key), m_hash(public_key.xmss_parameters()), m_msg_buf(0) {} -secure_vector XMSS_Verification_Operation::root_from_signature(const XMSS_Signature& sig, - const secure_vector& msg, - const secure_vector& seed) { - const auto& params = m_pub_key.xmss_parameters(); - - const uint32_t next_index = static_cast(sig.unused_leaf_index()); - XMSS_Address adrs; - adrs.set_type(XMSS_Address::Type::OTS_Hash_Address); - adrs.set_ots_address(next_index); - - const XMSS_WOTS_Parameters wots_params(params.ots_oid()); - const XMSS_WOTS_PublicKey pub_key_ots(wots_params, seed, sig.tree().ots_signature, msg, adrs, m_hash); - - adrs.set_type(XMSS_Address::Type::LTree_Address); - adrs.set_ltree_address(next_index); - - std::array, 2> node; - XMSS_Common_Ops::create_l_tree(node[0], pub_key_ots.key_data(), adrs, seed, m_hash, params); - - adrs.set_type(XMSS_Address::Type::Hash_Tree_Address); - adrs.set_tree_index(next_index); - - for(size_t k = 0; k < params.tree_height(); k++) { - adrs.set_tree_height(static_cast(k)); - if(((next_index / (static_cast(1) << k)) & 0x01) == 0) { - adrs.set_tree_index(adrs.get_tree_index() >> 1); - XMSS_Common_Ops::randomize_tree_hash( - node[1], node[0], sig.tree().authentication_path[k], adrs, seed, m_hash, params); - } else { - adrs.set_tree_index((adrs.get_tree_index() - 1) >> 1); - XMSS_Common_Ops::randomize_tree_hash( - node[1], sig.tree().authentication_path[k], node[0], adrs, seed, m_hash, params); - } - node[0] = node[1]; - } - return node[0]; -} - bool XMSS_Verification_Operation::verify(const XMSS_Signature& sig, const secure_vector& msg, const XMSS_PublicKey& public_key) { + const XMSS_Parameters& params = public_key.xmss_parameters(); + const XMSS_Address adrs; secure_vector index_bytes; xmss_concat(index_bytes, sig.unused_leaf_index(), m_pub_key.xmss_parameters().element_size()); const secure_vector msg_digest = m_hash.h_msg(sig.randomness(), public_key.root(), index_bytes, msg); - const secure_vector node = root_from_signature(sig, msg_digest, public_key.public_seed()); + const secure_vector node = + XMSS_Core_Ops::root_from_signature(static_cast(sig.unused_leaf_index()), + sig.tree(), + msg_digest, + adrs, + public_key.public_seed(), + m_hash, + params.element_size(), + params.tree_height(), + params.len(), + params.ots_oid()); return (node == public_key.root()); } diff --git a/src/lib/pubkey/xmss/xmss_verification_operation.h b/src/lib/pubkey/xmss/xmss_verification_operation.h index e6825649d18..4dd6c1b7d0e 100644 --- a/src/lib/pubkey/xmss/xmss_verification_operation.h +++ b/src/lib/pubkey/xmss/xmss_verification_operation.h @@ -30,21 +30,6 @@ class XMSS_Verification_Operation final : public virtual PK_Ops::Verification { std::string hash_function() const override { return m_hash.hash_function(); } private: - /** - * Algorithm 13: "XMSS_rootFromSig" - * Computes a root node using an XMSS signature, a message and a seed. - * - * @param msg A message. - * @param sig The XMSS signature for msg. - * @param seed A seed. - * - * @return An n-byte string holding the value of the root of a tree - * defined by the input parameters. - **/ - secure_vector root_from_signature(const XMSS_Signature& sig, - const secure_vector& msg, - const secure_vector& seed); - /** * Algorithm 14: "XMSS_verify" * Verifies a XMSS signature using the corresponding XMSS public key. diff --git a/src/lib/pubkey/xmss/xmss_wots_parameters.cpp b/src/lib/pubkey/xmss/xmss_wots_parameters.cpp index 365a21a9a08..7a736402f32 100644 --- a/src/lib/pubkey/xmss/xmss_wots_parameters.cpp +++ b/src/lib/pubkey/xmss/xmss_wots_parameters.cpp @@ -12,10 +12,9 @@ * Botan is released under the Simplified BSD License (see license.txt) **/ -#include - #include #include +#include #include #include #include diff --git a/src/lib/pubkey/xmss/xmss_wots_parameters.h b/src/lib/pubkey/xmss/xmss_wots_parameters.h new file mode 100644 index 00000000000..dade923ed2a --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_wots_parameters.h @@ -0,0 +1,121 @@ +/* + * XMSS Parameters + * (C) 2016,2018 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#ifndef BOTAN_XMSS_WOTS_PARAMETERS_H_ +#define BOTAN_XMSS_WOTS_PARAMETERS_H_ + +#include +#include + +#include +#include + +namespace Botan { + +/** + * Describes a signature method for XMSS Winternitz One Time Signatures, + * as defined in: + * [1] XMSS: Extended Hash-Based Signatures, + * Request for Comments: 8391 + * Release: May 2018. + * https://datatracker.ietf.org/doc/rfc8391/ + * [2] Recommendation for Stateful Hash-Based Signature Schemes + * NIST Special Publication 800-208 + * Release: October 2020. + * https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.800-208.pdf + **/ +class BOTAN_PUBLIC_API(2, 0) XMSS_WOTS_Parameters final { + public: + enum ots_algorithm_t : uint32_t /* NOLINT(*-enum-size,*-use-enum-class) */ { + // from RFC 8391 + WOTSP_SHA2_256 = 0x00000001, + + // from RFC 8391 but not approved by NIST SP.800-208 + // (see footnote on page 16) + WOTSP_SHA2_512 = 0x00000002, + WOTSP_SHAKE_256 = 0x00000003, + WOTSP_SHAKE_512 = 0x00000004, + + // from NIST SP.800-208 + WOTSP_SHA2_192 = 0x00000005, + WOTSP_SHAKE_256_256 = 0x00000006, + WOTSP_SHAKE_256_192 = 0x00000007, + }; + + explicit XMSS_WOTS_Parameters(std::string_view algo_name); + + BOTAN_FUTURE_EXPLICIT XMSS_WOTS_Parameters(ots_algorithm_t ots_spec); + + static ots_algorithm_t xmss_wots_id_from_string(std::string_view param_set); + + /** + * Algorithm 1: convert input string to base. + * + * @param msg Input string (referred to as X in [1]). + * @param out_size size of message in base w. + * + * @return Input string converted to the given base. + **/ + secure_vector base_w(const secure_vector& msg, size_t out_size) const; + + secure_vector base_w(size_t value) const; + + void append_checksum(secure_vector& data) const; + + /** + * @return XMSS WOTS registry name for the chosen parameter set. + **/ + const std::string& name() const { return m_name; } + + /** + * Retrieves the uniform length of a message, and the size of + * each node. This correlates to XMSS parameter "n" defined + * in [1]. + * + * @return element length in bytes. + **/ + size_t element_size() const { return m_element_size; } + + /** + * The Winternitz parameter. + * + * @return numeric base used for internal representation of + * data. + **/ + size_t wots_parameter() const { return m_w; } + + size_t len() const { return m_len; } + + size_t len_1() const { return m_len_1; } + + size_t len_2() const { return m_len_2; } + + size_t lg_w() const { return m_lg_w; } + + ots_algorithm_t oid() const { return m_oid; } + + size_t estimated_strength() const { return m_strength; } + + bool operator==(const XMSS_WOTS_Parameters& p) const { return m_oid == p.m_oid; } + + private: + static const std::map m_oid_name_lut; + ots_algorithm_t m_oid; + std::string m_name; + std::string m_hash_name; + size_t m_element_size; + size_t m_w; + size_t m_len_1; + size_t m_len_2; + size_t m_len; + size_t m_strength; + uint8_t m_lg_w; +}; + +} // namespace Botan + +#endif diff --git a/src/lib/pubkey/xmssmt/info.txt b/src/lib/pubkey/xmssmt/info.txt new file mode 100644 index 00000000000..7d49cba8a5f --- /dev/null +++ b/src/lib/pubkey/xmssmt/info.txt @@ -0,0 +1,27 @@ + +XMSSMT_RFC8391 -> 20260301 + + + +name -> "XMSSMT" +brief -> "Multi-Tree version of XMSS" + + + +xmssmt.h +xmssmt_parameters.h + + + +xmssmt_signature.h +xmssmt_verification_operation.h +xmssmt_signature_operation.h + + + +xmss + + + +atomics + diff --git a/src/lib/pubkey/xmssmt/xmssmt.h b/src/lib/pubkey/xmssmt/xmssmt.h new file mode 100644 index 00000000000..550ec1f9189 --- /dev/null +++ b/src/lib/pubkey/xmssmt/xmssmt.h @@ -0,0 +1,227 @@ +/* + * XMSS^MT Keys + * (C) 2026 Johannes Roth + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#ifndef BOTAN_XMSSMT_H_ +#define BOTAN_XMSSMT_H_ + +#include +#include +#include +#include +#include + +namespace Botan { + +class RandomNumberGenerator; +class XMSS_Address; +class XMSS_Hash; +class XMSSMT_PrivateKey_Internal; +class XMSSMT_Verification_Operation; +class XMSS_WOTS_PublicKey; +class XMSS_WOTS_PrivateKey; + +class BOTAN_PUBLIC_API(3, 12) XMSSMT_PublicKey : public virtual Public_Key { + public: + /** + * Creates a new XMSS^MT public key for the chosen XMSS^MT signature method. + * New public and prf seeds are generated using rng. The appropriate WOTS + * signature method will be automatically set based on the chosen XMSS + * signature method. + * + * @param xmssmt_oid Identifier for the selected XMSS^MT signature method. + * @param rng A random number generator to use for key generation. + **/ + XMSSMT_PublicKey(XMSSMT_Parameters::xmssmt_algorithm_t xmssmt_oid, RandomNumberGenerator& rng); + + /** + * Loads a public key. + * + * Public key must be encoded as in RFC + * draft-vangeest-x509-hash-sigs-03. + * + * @param key_bits DER encoded public key bits + */ + BOTAN_FUTURE_EXPLICIT XMSSMT_PublicKey(std::span key_bits); + + /** + * Creates a new XMSS^MT public key for a chosen XMSS^MT signature method as + * well as pre-computed root node and public_seed values. + * + * @param xmssmt_oid Identifier for the selected XMSS^MT signature method. + * @param root Root node value. + * @param public_seed Public seed value. + **/ + XMSSMT_PublicKey(XMSSMT_Parameters::xmssmt_algorithm_t xmssmt_oid, + secure_vector root, + secure_vector public_seed); + + std::string algo_name() const override { return "XMSSMT"; } + + AlgorithmIdentifier algorithm_identifier() const override { + return AlgorithmIdentifier(object_identifier(), AlgorithmIdentifier::USE_EMPTY_PARAM); + } + + bool check_key(RandomNumberGenerator& /*rng*/, bool /*strong*/) const override { return true; } + + size_t estimated_strength() const override { return m_xmssmt_params.estimated_strength(); } + + size_t key_length() const override { return m_xmssmt_params.estimated_strength(); } + + /** + * Generates a byte sequence representing the XMSS^MT + * public key, as defined in [1] (p. 23, "XMSS Public Key") + * + * @return 4-byte OID, followed by n-byte root node, followed by + * public seed. + **/ + std::vector raw_public_key_bits() const override; + + /** + * Returns the encoded public key as defined in RFC + * draft-vangeest-x509-hash-sigs-03. + * + * @return encoded public key bits + **/ + std::vector public_key_bits() const override; + + std::unique_ptr generate_another(RandomNumberGenerator& rng) const final; + + bool supports_operation(PublicKeyOperation op) const override { return (op == PublicKeyOperation::Signature); } + + std::unique_ptr create_verification_op(std::string_view params, + std::string_view provider) const override; + + // std::unique_ptr create_x509_verification_op(const AlgorithmIdentifier& alg_id, + // std::string_view provider) const override; + + // protected: + // friend class XMSS_Verification_Operation; + + const secure_vector& public_seed() const { return m_public_seed; } + + const secure_vector& root() const { return m_root; } + + const XMSSMT_Parameters& xmssmt_parameters() const { return m_xmssmt_params; } + + protected: + std::vector m_raw_key; // NOLINT(*non-private-member-variable*) + XMSSMT_Parameters m_xmssmt_params; // NOLINT(*non-private-member-variable*) + XMSS_WOTS_Parameters m_wots_params; // NOLINT(*non-private-member-variable*) + secure_vector m_root; // NOLINT(*non-private-member-variable*) + secure_vector m_public_seed; // NOLINT(*non-private-member-variable*) +}; + +template +class Atomic; + +/** + * Determines how WOTS+ private keys are derived from the XMSS^MT private key + */ + +/** + * An XMSS: Extended Hash-Based Signature private key. + * The XMSS private key does not support the X509 and PKCS7 standard. Instead + * the raw format described in [1] is used. + * + * [1] XMSS: Extended Hash-Based Signatures, + * Request for Comments: 8391 + * Release: May 2018. + * https://datatracker.ietf.org/doc/rfc8391/ + **/ + +BOTAN_DIAGNOSTIC_PUSH +BOTAN_DIAGNOSTIC_IGNORE_INHERITED_VIA_DOMINANCE + +class BOTAN_PUBLIC_API(3, 12) XMSSMT_PrivateKey final : public virtual XMSSMT_PublicKey, + public virtual Private_Key { + public: + /** + * Creates a new XMSS^MT private key for the chosen XMSS signature method. + * New seeds for public/private key and pseudo random function input are + * generated using the provided RNG. The appropriate WOTS signature method + * will be automatically set based on the chosen XMSS signature method. + * + * @param xmssmt_algo_id Identifier for the selected XMSS^MT signature method. + * @param rng A random number generator to use for key generation. + **/ + XMSSMT_PrivateKey(XMSSMT_Parameters::xmssmt_algorithm_t xmssmt_algo_id, RandomNumberGenerator& rng); + + /** + * Creates an XMSSMT_PrivateKey from a byte sequence produced by + * raw_private_key(). + * + * @param raw_key An XMSS private key serialized using raw_private_key(). + **/ + BOTAN_FUTURE_EXPLICIT XMSSMT_PrivateKey(std::span raw_key); + + /** + * Creates a new XMSS^MT private key for the chosen XMSS^MT signature method + * using precomputed seeds for public/private keys and pseudo random + * function input. The appropriate WOTS signature method will be + * automatically set, based on the chosen XMSS^MT signature method. + * + * @param xmssmt_algo_id Identifier for the selected XMSS^MT signature method. + * @param idx_leaf Index of the next unused leaf. + * @param wots_priv_seed A seed to generate a Winternitz-One-Time- + * Signature private key from. + * @param prf a secret n-byte key sourced from a secure source + * of uniformly random data. + * @param root Root node of the binary hash tree. + * @param public_seed The public seed. + **/ + XMSSMT_PrivateKey(XMSSMT_Parameters::xmssmt_algorithm_t xmssmt_algo_id, + uint64_t idx_leaf, + secure_vector wots_priv_seed, + secure_vector prf, + secure_vector root, + secure_vector public_seed); + + bool stateful_operation() const override { return true; } + + std::unique_ptr public_key() const override; + + std::optional remaining_operations() const override; + + std::unique_ptr create_signature_op(RandomNumberGenerator& rng, + std::string_view params, + std::string_view provider) const override; + + secure_vector private_key_bits() const override; + + /** + * Generates a non standardized byte sequence representing the XMSS^MT + * private key. + * + * @return byte sequence consisting of the following elements in order: + * 4-byte OID, n-byte root node, n-byte public seed, + * 8-byte unused leaf index, n-byte prf seed, n-byte private seed. + **/ + secure_vector raw_private_key() const; + + private: + friend class XMSSMT_Signature_Operation; + + uint64_t reserve_unused_leaf_index(); + + const secure_vector& prf_value() const; + + XMSS_WOTS_PublicKey wots_public_key_for(XMSS_Address& adrs, XMSS_Hash& hash) const; + XMSS_WOTS_PrivateKey wots_private_key_for(XMSS_Address& adrs, XMSS_Hash& hash) const; + + secure_vector tree_hash(uint32_t start_idx, + size_t target_node_height, + XMSS_Address adrs, + XMSS_Hash& hash) const; + + std::shared_ptr m_private; +}; + +BOTAN_DIAGNOSTIC_POP + +} // namespace Botan + +#endif diff --git a/src/lib/pubkey/xmssmt/xmssmt_parameters.cpp b/src/lib/pubkey/xmssmt/xmssmt_parameters.cpp new file mode 100644 index 00000000000..f83e24fa885 --- /dev/null +++ b/src/lib/pubkey/xmssmt/xmssmt_parameters.cpp @@ -0,0 +1,878 @@ +/* + * XMSS^MT Parameters + * Describes a signature method for XMSS^MT, as defined in: + * [1] XMSS: Extended Hash-Based Signatures, + * Request for Comments: 8391 + * Release: May 2018. + * https://datatracker.ietf.org/doc/rfc8391/ + * [2] Recommendation for Stateful Hash-Based Signature Schemes + * NIST Special Publication 800-208 + * Release: October 2020. + * https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.800-208.pdf + * + * (C) 2026 Johannes Roth + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#include + +#include +#include + +namespace Botan { + +XMSSMT_Parameters::xmssmt_algorithm_t XMSSMT_Parameters::xmssmt_id_from_string(std::string_view param_set) { + if(param_set == "XMSSMT-SHA2_20/2_256") { + return XMSSMT_SHA2_20_2_256; + } + if(param_set == "XMSSMT-SHA2_20/4_256") { + return XMSSMT_SHA2_20_4_256; + } + if(param_set == "XMSSMT-SHA2_40/2_256") { + return XMSSMT_SHA2_40_2_256; + } + if(param_set == "XMSSMT-SHA2_40/4_256") { + return XMSSMT_SHA2_40_4_256; + } + if(param_set == "XMSSMT-SHA2_40/8_256") { + return XMSSMT_SHA2_40_8_256; + } + if(param_set == "XMSSMT-SHA2_60/3_256") { + return XMSSMT_SHA2_60_3_256; + } + if(param_set == "XMSSMT-SHA2_60/6_256") { + return XMSSMT_SHA2_60_6_256; + } + if(param_set == "XMSSMT-SHA2_60/12_256") { + return XMSSMT_SHA2_60_12_256; + } + if(param_set == "XMSSMT-SHA2_20/2_512") { + return XMSSMT_SHA2_20_2_512; + } + if(param_set == "XMSSMT-SHA2_20/4_512") { + return XMSSMT_SHA2_20_4_512; + } + if(param_set == "XMSSMT-SHA2_40/2_512") { + return XMSSMT_SHA2_40_2_512; + } + if(param_set == "XMSSMT-SHA2_40/4_512") { + return XMSSMT_SHA2_40_4_512; + } + if(param_set == "XMSSMT-SHA2_40/8_512") { + return XMSSMT_SHA2_40_8_512; + } + if(param_set == "XMSSMT-SHA2_60/3_512") { + return XMSSMT_SHA2_60_3_512; + } + if(param_set == "XMSSMT-SHA2_60/6_512") { + return XMSSMT_SHA2_60_6_512; + } + if(param_set == "XMSSMT-SHA2_60/12_512") { + return XMSSMT_SHA2_60_12_512; + } + if(param_set == "XMSSMT-SHAKE_20/2_256") { + return XMSSMT_SHAKE_20_2_256; + } + if(param_set == "XMSSMT-SHAKE_20/4_256") { + return XMSSMT_SHAKE_20_4_256; + } + if(param_set == "XMSSMT-SHAKE_40/2_256") { + return XMSSMT_SHAKE_40_2_256; + } + if(param_set == "XMSSMT-SHAKE_40/4_256") { + return XMSSMT_SHAKE_40_4_256; + } + if(param_set == "XMSSMT-SHAKE_40/8_256") { + return XMSSMT_SHAKE_40_8_256; + } + if(param_set == "XMSSMT-SHAKE_60/3_256") { + return XMSSMT_SHAKE_60_3_256; + } + if(param_set == "XMSSMT-SHAKE_60/6_256") { + return XMSSMT_SHAKE_60_6_256; + } + if(param_set == "XMSSMT-SHAKE_60/12_256") { + return XMSSMT_SHAKE_60_12_256; + } + if(param_set == "XMSSMT-SHAKE_20/2_512") { + return XMSSMT_SHAKE_20_2_512; + } + if(param_set == "XMSSMT-SHAKE_20/4_512") { + return XMSSMT_SHAKE_20_4_512; + } + if(param_set == "XMSSMT-SHAKE_40/2_512") { + return XMSSMT_SHAKE_40_2_512; + } + if(param_set == "XMSSMT-SHAKE_40/4_512") { + return XMSSMT_SHAKE_40_4_512; + } + if(param_set == "XMSSMT-SHAKE_40/8_512") { + return XMSSMT_SHAKE_40_8_512; + } + if(param_set == "XMSSMT-SHAKE_60/3_512") { + return XMSSMT_SHAKE_60_3_512; + } + if(param_set == "XMSSMT-SHAKE_60/6_512") { + return XMSSMT_SHAKE_60_6_512; + } + if(param_set == "XMSSMT-SHAKE_60/12_512") { + return XMSSMT_SHAKE_60_12_512; + } + if(param_set == "XMSSMT-SHA2_20/2_192") { + return XMSSMT_SHA2_20_2_192; + } + if(param_set == "XMSSMT-SHA2_20/4_192") { + return XMSSMT_SHA2_20_4_192; + } + if(param_set == "XMSSMT-SHA2_40/2_192") { + return XMSSMT_SHA2_40_2_192; + } + if(param_set == "XMSSMT-SHA2_40/4_192") { + return XMSSMT_SHA2_40_4_192; + } + if(param_set == "XMSSMT-SHA2_40/8_192") { + return XMSSMT_SHA2_40_8_192; + } + if(param_set == "XMSSMT-SHA2_60/3_192") { + return XMSSMT_SHA2_60_3_192; + } + if(param_set == "XMSSMT-SHA2_60/6_192") { + return XMSSMT_SHA2_60_6_192; + } + if(param_set == "XMSSMT-SHA2_60/12_192") { + return XMSSMT_SHA2_60_12_192; + } + if(param_set == "XMSSMT-SHAKE256_20/2_256") { + return XMSSMT_SHAKE256_20_2_256; + } + if(param_set == "XMSSMT-SHAKE256_20/4_256") { + return XMSSMT_SHAKE256_20_4_256; + } + if(param_set == "XMSSMT-SHAKE256_40/2_256") { + return XMSSMT_SHAKE256_40_2_256; + } + if(param_set == "XMSSMT-SHAKE256_40/4_256") { + return XMSSMT_SHAKE256_40_4_256; + } + if(param_set == "XMSSMT-SHAKE256_40/8_256") { + return XMSSMT_SHAKE256_40_8_256; + } + if(param_set == "XMSSMT-SHAKE256_60/3_256") { + return XMSSMT_SHAKE256_60_3_256; + } + if(param_set == "XMSSMT-SHAKE256_60/6_256") { + return XMSSMT_SHAKE256_60_6_256; + } + if(param_set == "XMSSMT-SHAKE256_60/12_256") { + return XMSSMT_SHAKE256_60_12_256; + } + if(param_set == "XMSSMT-SHAKE256_20/2_192") { + return XMSSMT_SHAKE256_20_2_192; + } + if(param_set == "XMSSMT-SHAKE256_20/4_192") { + return XMSSMT_SHAKE256_20_4_192; + } + if(param_set == "XMSSMT-SHAKE256_40/2_192") { + return XMSSMT_SHAKE256_40_2_192; + } + if(param_set == "XMSSMT-SHAKE256_40/4_192") { + return XMSSMT_SHAKE256_40_4_192; + } + if(param_set == "XMSSMT-SHAKE256_40/8_192") { + return XMSSMT_SHAKE256_40_8_192; + } + if(param_set == "XMSSMT-SHAKE256_60/3_192") { + return XMSSMT_SHAKE256_60_3_192; + } + if(param_set == "XMSSMT-SHAKE256_60/6_192") { + return XMSSMT_SHAKE256_60_6_192; + } + if(param_set == "XMSSMT-SHAKE256_60/12_192") { + return XMSSMT_SHAKE256_60_12_192; + } + throw Lookup_Error(fmt("Unknown XMSS^MT algorithm param '{}'", param_set)); +} + +XMSSMT_Parameters::XMSSMT_Parameters(std::string_view param_set) : + XMSSMT_Parameters(XMSSMT_Parameters::xmssmt_id_from_string(param_set)) {} + +XMSSMT_Parameters::XMSSMT_Parameters(xmssmt_algorithm_t oid) : m_oid(oid) { + switch(oid) { + case XMSSMT_SHA2_20_2_256: + m_element_size = 32; + m_hash_id_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 20; + m_tree_layers = 2; + m_name = "XMSSMT-SHA2_20/2_256"; + m_hash_name = "SHA-256"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_256; + break; + case XMSSMT_SHA2_20_4_256: + m_element_size = 32; + m_hash_id_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 20; + m_tree_layers = 4; + m_name = "XMSSMT-SHA2_20/4_256"; + m_hash_name = "SHA-256"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_256; + break; + case XMSSMT_SHA2_40_2_256: + m_element_size = 32; + m_hash_id_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 40; + m_tree_layers = 2; + m_name = "XMSSMT-SHA2_40/2_256"; + m_hash_name = "SHA-256"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_256; + break; + case XMSSMT_SHA2_40_4_256: + m_element_size = 32; + m_hash_id_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 40; + m_tree_layers = 4; + m_name = "XMSSMT-SHA2_40/4_256"; + m_hash_name = "SHA-256"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_256; + break; + case XMSSMT_SHA2_40_8_256: + m_element_size = 32; + m_hash_id_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 40; + m_tree_layers = 8; + m_name = "XMSSMT-SHA2_40/8_256"; + m_hash_name = "SHA-256"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_256; + break; + case XMSSMT_SHA2_60_3_256: + m_element_size = 32; + m_hash_id_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 60; + m_tree_layers = 3; + m_name = "XMSSMT-SHA2_60/3_256"; + m_hash_name = "SHA-256"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_256; + break; + case XMSSMT_SHA2_60_6_256: + m_element_size = 32; + m_hash_id_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 60; + m_tree_layers = 6; + m_name = "XMSSMT-SHA2_60/6_256"; + m_hash_name = "SHA-256"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_256; + break; + case XMSSMT_SHA2_60_12_256: + m_element_size = 32; + m_hash_id_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 60; + m_tree_layers = 12; + m_name = "XMSSMT-SHA2_60/12_256"; + m_hash_name = "SHA-256"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_256; + break; + case XMSSMT_SHA2_20_2_512: + m_element_size = 64; + m_hash_id_size = 64; + m_w = 16; + m_len = 131; + m_tree_height = 20; + m_tree_layers = 2; + m_name = "XMSSMT-SHA2_20/2_512"; + m_hash_name = "SHA-512"; + m_strength = 512; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_512; + break; + case XMSSMT_SHA2_20_4_512: + m_element_size = 64; + m_hash_id_size = 64; + m_w = 16; + m_len = 131; + m_tree_height = 20; + m_tree_layers = 4; + m_name = "XMSSMT-SHA2_20/4_512"; + m_hash_name = "SHA-512"; + m_strength = 512; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_512; + break; + case XMSSMT_SHA2_40_2_512: + m_element_size = 64; + m_hash_id_size = 64; + m_w = 16; + m_len = 131; + m_tree_height = 40; + m_tree_layers = 2; + m_name = "XMSSMT-SHA2_40/2_512"; + m_hash_name = "SHA-512"; + m_strength = 512; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_512; + break; + case XMSSMT_SHA2_40_4_512: + m_element_size = 64; + m_hash_id_size = 64; + m_w = 16; + m_len = 131; + m_tree_height = 40; + m_tree_layers = 4; + m_name = "XMSSMT-SHA2_40/4_512"; + m_hash_name = "SHA-512"; + m_strength = 512; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_512; + break; + case XMSSMT_SHA2_40_8_512: + m_element_size = 64; + m_hash_id_size = 64; + m_w = 16; + m_len = 131; + m_tree_height = 40; + m_tree_layers = 8; + m_name = "XMSSMT-SHA2_40/8_512"; + m_hash_name = "SHA-512"; + m_strength = 512; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_512; + break; + case XMSSMT_SHA2_60_3_512: + m_element_size = 64; + m_hash_id_size = 64; + m_w = 16; + m_len = 131; + m_tree_height = 60; + m_tree_layers = 3; + m_name = "XMSSMT-SHA2_60/3_512"; + m_hash_name = "SHA-512"; + m_strength = 512; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_512; + break; + case XMSSMT_SHA2_60_6_512: + m_element_size = 64; + m_hash_id_size = 64; + m_w = 16; + m_len = 131; + m_tree_height = 60; + m_tree_layers = 6; + m_name = "XMSSMT-SHA2_60/6_512"; + m_hash_name = "SHA-512"; + m_strength = 512; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_512; + break; + case XMSSMT_SHA2_60_12_512: + m_element_size = 64; + m_hash_id_size = 64; + m_w = 16; + m_len = 131; + m_tree_height = 60; + m_tree_layers = 12; + m_name = "XMSSMT-SHA2_60/12_512"; + m_hash_name = "SHA-512"; + m_strength = 512; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_512; + break; + case XMSSMT_SHAKE_20_2_256: + m_element_size = 32; + m_hash_id_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 20; + m_tree_layers = 2; + m_name = "XMSSMT-SHAKE_20/2_256"; + m_hash_name = "SHAKE-128(256)"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_256; + break; + case XMSSMT_SHAKE_20_4_256: + m_element_size = 32; + m_hash_id_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 20; + m_tree_layers = 4; + m_name = "XMSSMT-SHAKE_20/4_256"; + m_hash_name = "SHAKE-128(256)"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_256; + break; + case XMSSMT_SHAKE_40_2_256: + m_element_size = 32; + m_hash_id_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 40; + m_tree_layers = 2; + m_name = "XMSSMT-SHAKE_40/2_256"; + m_hash_name = "SHAKE-128(256)"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_256; + break; + case XMSSMT_SHAKE_40_4_256: + m_element_size = 32; + m_hash_id_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 40; + m_tree_layers = 4; + m_name = "XMSSMT-SHAKE_40/4_256"; + m_hash_name = "SHAKE-128(256)"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_256; + break; + case XMSSMT_SHAKE_40_8_256: + m_element_size = 32; + m_hash_id_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 40; + m_tree_layers = 8; + m_name = "XMSSMT-SHAKE_40/8_256"; + m_hash_name = "SHAKE-128(256)"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_256; + break; + case XMSSMT_SHAKE_60_3_256: + m_element_size = 32; + m_hash_id_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 60; + m_tree_layers = 3; + m_name = "XMSSMT-SHAKE_60/3_256"; + m_hash_name = "SHAKE-128(256)"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_256; + break; + case XMSSMT_SHAKE_60_6_256: + m_element_size = 32; + m_hash_id_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 60; + m_tree_layers = 6; + m_name = "XMSSMT-SHAKE_60/6_256"; + m_hash_name = "SHAKE-128(256)"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_256; + break; + case XMSSMT_SHAKE_60_12_256: + m_element_size = 32; + m_hash_id_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 60; + m_tree_layers = 12; + m_name = "XMSSMT-SHAKE_60/12_256"; + m_hash_name = "SHAKE-128(256)6"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_256; + break; + case XMSSMT_SHAKE_20_2_512: + m_element_size = 64; + m_hash_id_size = 64; + m_w = 16; + m_len = 131; + m_tree_height = 20; + m_tree_layers = 2; + m_name = "XMSSMT-SHAKE_20/2_512"; + m_hash_name = "SHAKE-256(512)"; + m_strength = 512; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_512; + break; + case XMSSMT_SHAKE_20_4_512: + m_element_size = 64; + m_hash_id_size = 64; + m_w = 16; + m_len = 131; + m_tree_height = 20; + m_tree_layers = 4; + m_name = "XMSSMT-SHAKE_20/4_512"; + m_hash_name = "SHAKE-256(512)"; + m_strength = 512; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_512; + break; + case XMSSMT_SHAKE_40_2_512: + m_element_size = 64; + m_hash_id_size = 64; + m_w = 16; + m_len = 131; + m_tree_height = 40; + m_tree_layers = 2; + m_name = "XMSSMT-SHAKE_40/2_512"; + m_hash_name = "SHAKE-256(512)"; + m_strength = 512; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_512; + break; + case XMSSMT_SHAKE_40_4_512: + m_element_size = 64; + m_hash_id_size = 64; + m_w = 16; + m_len = 131; + m_tree_height = 40; + m_tree_layers = 4; + m_name = "XMSSMT-SHAKE_40/4_512"; + m_hash_name = "SHAKE-256(512)"; + m_strength = 512; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_512; + break; + case XMSSMT_SHAKE_40_8_512: + m_element_size = 64; + m_hash_id_size = 64; + m_w = 16; + m_len = 131; + m_tree_height = 40; + m_tree_layers = 8; + m_name = "XMSSMT-SHAKE_40/8_512"; + m_hash_name = "SHAKE-256(512)"; + m_strength = 512; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_512; + break; + case XMSSMT_SHAKE_60_3_512: + m_element_size = 64; + m_hash_id_size = 64; + m_w = 16; + m_len = 131; + m_tree_height = 60; + m_tree_layers = 3; + m_name = "XMSSMT-SHAKE_60/3_512"; + m_hash_name = "SHAKE-256(512)"; + m_strength = 512; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_512; + break; + case XMSSMT_SHAKE_60_6_512: + m_element_size = 64; + m_hash_id_size = 64; + m_w = 16; + m_len = 131; + m_tree_height = 60; + m_tree_layers = 6; + m_name = "XMSSMT-SHAKE_60/6_512"; + m_hash_name = "SHAKE-256(512)"; + m_strength = 512; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_512; + break; + case XMSSMT_SHAKE_60_12_512: + m_element_size = 64; + m_hash_id_size = 64; + m_w = 16; + m_len = 131; + m_tree_height = 60; + m_tree_layers = 12; + m_name = "XMSSMT-SHAKE_60/12_512"; + m_hash_name = "SHAKE-256(512)"; + m_strength = 512; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_512; + break; + case XMSSMT_SHA2_20_2_192: + m_element_size = 24; + m_hash_id_size = 4; + m_w = 16; + m_len = 51; + m_tree_height = 20; + m_tree_layers = 2; + m_name = "XMSSMT-SHA2_20/2_192"; + m_hash_name = "Truncated(SHA-256,192)"; + m_strength = 192; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_192; + break; + case XMSSMT_SHA2_20_4_192: + m_element_size = 24; + m_hash_id_size = 4; + m_w = 16; + m_len = 51; + m_tree_height = 20; + m_tree_layers = 4; + m_name = "XMSSMT-SHA2_20/4_192"; + m_hash_name = "Truncated(SHA-256,192)"; + m_strength = 192; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_192; + break; + case XMSSMT_SHA2_40_2_192: + m_element_size = 24; + m_hash_id_size = 4; + m_w = 16; + m_len = 51; + m_tree_height = 40; + m_tree_layers = 2; + m_name = "XMSSMT-SHA2_40/2_192"; + m_hash_name = "Truncated(SHA-256,192)"; + m_strength = 192; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_192; + break; + case XMSSMT_SHA2_40_4_192: + m_element_size = 24; + m_hash_id_size = 4; + m_w = 16; + m_len = 51; + m_tree_height = 40; + m_tree_layers = 4; + m_name = "XMSSMT-SHA2_40/4_192"; + m_hash_name = "Truncated(SHA-256,192)"; + m_strength = 192; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_192; + break; + case XMSSMT_SHA2_40_8_192: + m_element_size = 24; + m_hash_id_size = 4; + m_w = 16; + m_len = 51; + m_tree_height = 40; + m_tree_layers = 8; + m_name = "XMSSMT-SHA2_40/8_192"; + m_hash_name = "Truncated(SHA-256,192)"; + m_strength = 192; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_192; + break; + case XMSSMT_SHA2_60_3_192: + m_element_size = 24; + m_hash_id_size = 4; + m_w = 16; + m_len = 51; + m_tree_height = 60; + m_tree_layers = 3; + m_name = "XMSSMT-SHA2_60/3_192"; + m_hash_name = "Truncated(SHA-256,192)"; + m_strength = 192; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_192; + break; + case XMSSMT_SHA2_60_6_192: + m_element_size = 24; + m_hash_id_size = 4; + m_w = 16; + m_len = 51; + m_tree_height = 60; + m_tree_layers = 6; + m_name = "XMSSMT-SHA2_60/6_192"; + m_hash_name = "Truncated(SHA-256,192)"; + m_strength = 192; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_192; + break; + case XMSSMT_SHA2_60_12_192: + m_element_size = 24; + m_hash_id_size = 4; + m_w = 16; + m_len = 51; + m_tree_height = 60; + m_tree_layers = 12; + m_name = "XMSSMT-SHA2_60/12_192"; + m_hash_name = "Truncated(SHA-256,192)"; + m_strength = 192; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_192; + break; + case XMSSMT_SHAKE256_20_2_256: + m_element_size = 32; + m_hash_id_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 20; + m_tree_layers = 2; + m_name = "XMSSMT-SHAKE256_20/2_256"; + m_hash_name = "SHAKE-256(256)"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_256_256; + break; + case XMSSMT_SHAKE256_20_4_256: + m_element_size = 32; + m_hash_id_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 20; + m_tree_layers = 4; + m_name = "XMSSMT-SHAKE256_20/4_256"; + m_hash_name = "SHAKE-256(256)"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_256_256; + break; + case XMSSMT_SHAKE256_40_2_256: + m_element_size = 32; + m_hash_id_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 40; + m_tree_layers = 2; + m_name = "XMSSMT-SHAKE256_40/2_256"; + m_hash_name = "SHAKE-256(256)"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_256_256; + break; + case XMSSMT_SHAKE256_40_4_256: + m_element_size = 32; + m_hash_id_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 40; + m_tree_layers = 4; + m_name = "XMSSMT-SHAKE256_40/4_256"; + m_hash_name = "SHAKE-256(256)"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_256_256; + break; + case XMSSMT_SHAKE256_40_8_256: + m_element_size = 32; + m_hash_id_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 40; + m_tree_layers = 8; + m_name = "XMSSMT-SHAKE256_40/8_256"; + m_hash_name = "SHAKE-256(256)"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_256_256; + break; + case XMSSMT_SHAKE256_60_3_256: + m_element_size = 32; + m_hash_id_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 60; + m_tree_layers = 3; + m_name = "XMSSMT-SHAKE256_60/3_256"; + m_hash_name = "SHAKE-256(256)"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_256_256; + break; + case XMSSMT_SHAKE256_60_6_256: + m_element_size = 32; + m_hash_id_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 60; + m_tree_layers = 6; + m_name = "XMSSMT-SHAKE256_60/6_256"; + m_hash_name = "SHAKE-256(256)"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_256_256; + break; + case XMSSMT_SHAKE256_60_12_256: + m_element_size = 32; + m_hash_id_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 60; + m_tree_layers = 12; + m_name = "XMSSMT-SHAKE256_60/12_256"; + m_hash_name = "SHAKE-256(256)"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_256_256; + break; + case XMSSMT_SHAKE256_20_2_192: + m_element_size = 24; + m_hash_id_size = 4; + m_w = 16; + m_len = 51; + m_tree_height = 20; + m_tree_layers = 2; + m_name = "XMSSMT-SHAKE256_20/2_192"; + m_hash_name = "SHAKE-256(192)"; + m_strength = 192; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_256_192; + break; + case XMSSMT_SHAKE256_20_4_192: + m_element_size = 24; + m_hash_id_size = 4; + m_w = 16; + m_len = 51; + m_tree_height = 20; + m_tree_layers = 4; + m_name = "XMSSMT-SHAKE256_20/4_192"; + m_hash_name = "SHAKE-256(192)"; + m_strength = 192; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_256_192; + break; + case XMSSMT_SHAKE256_40_2_192: + m_element_size = 24; + m_hash_id_size = 4; + m_w = 16; + m_len = 51; + m_tree_height = 40; + m_tree_layers = 2; + m_name = "XMSSMT-SHAKE256_40/2_192"; + m_hash_name = "SHAKE-256(192)"; + m_strength = 192; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_256_192; + break; + case XMSSMT_SHAKE256_40_4_192: + m_element_size = 24; + m_hash_id_size = 4; + m_w = 16; + m_len = 51; + m_tree_height = 40; + m_tree_layers = 4; + m_name = "XMSSMT-SHAKE256_40/4_192"; + m_hash_name = "SHAKE-256(192)"; + m_strength = 192; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_256_192; + break; + case XMSSMT_SHAKE256_40_8_192: + m_element_size = 24; + m_hash_id_size = 4; + m_w = 16; + m_len = 51; + m_tree_height = 40; + m_tree_layers = 8; + m_name = "XMSSMT-SHAKE256_40/8_192"; + m_hash_name = "SHAKE-256(192)"; + m_strength = 192; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_256_192; + break; + case XMSSMT_SHAKE256_60_3_192: + m_element_size = 24; + m_hash_id_size = 4; + m_w = 16; + m_len = 51; + m_tree_height = 60; + m_tree_layers = 3; + m_name = "XMSSMT-SHAKE256_60/3_192"; + m_hash_name = "SHAKE-256(192)"; + m_strength = 192; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_256_192; + break; + case XMSSMT_SHAKE256_60_6_192: + m_element_size = 24; + m_hash_id_size = 4; + m_w = 16; + m_len = 51; + m_tree_height = 60; + m_tree_layers = 6; + m_name = "XMSSMT-SHAKE256_60/6_192"; + m_hash_name = "SHAKE-256(192)"; + m_strength = 192; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_256_192; + break; + case XMSSMT_SHAKE256_60_12_192: + m_element_size = 24; + m_hash_id_size = 4; + m_w = 16; + m_len = 51; + m_tree_height = 60; + m_tree_layers = 12; + m_name = "XMSSMT-SHAKE256_60/12_192"; + m_hash_name = "SHAKE-256(192)"; + m_strength = 192; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE_256_192; + break; + default: + throw Not_Implemented("Algorithm id does not match any known XMSS^MT algorithm id:" + std::to_string(oid)); + } +} +} // namespace Botan diff --git a/src/lib/pubkey/xmssmt/xmssmt_parameters.h b/src/lib/pubkey/xmssmt/xmssmt_parameters.h new file mode 100644 index 00000000000..c1d0e7ebf53 --- /dev/null +++ b/src/lib/pubkey/xmssmt/xmssmt_parameters.h @@ -0,0 +1,197 @@ +/* + * XMSS^MT Parameters + * (C) 2026 Johannes Roth + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#ifndef BOTAN_XMSSMT_PARAMETERS_H_ +#define BOTAN_XMSSMT_PARAMETERS_H_ + +#include +#include +#include +#include + +namespace Botan { + +/** + * Describes a signature method for XMSS^MT, as defined in: + * [1] XMSS: Extended Hash-Based Signatures, + * Request for Comments: 8391 + * Release: May 2018. + * https://datatracker.ietf.org/doc/rfc8391/ + * [2] Recommendation for Stateful Hash-Based Signature Schemes + * NIST Special Publication 800-208 + * Release: October 2020. + * https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.800-208.pdf + **/ +class BOTAN_PUBLIC_API(3, 12) XMSSMT_Parameters { + public: + enum xmssmt_algorithm_t : uint32_t /* NOLINT(*-enum-size,*-use-enum-class) */ { + // from RFC 8391 + XMSSMT_SHA2_20_2_256 = 0x00000001, + XMSSMT_SHA2_20_4_256 = 0x00000002, + XMSSMT_SHA2_40_2_256 = 0x00000003, + XMSSMT_SHA2_40_4_256 = 0x00000004, + XMSSMT_SHA2_40_8_256 = 0x00000005, + XMSSMT_SHA2_60_3_256 = 0x00000006, + XMSSMT_SHA2_60_6_256 = 0x00000007, + XMSSMT_SHA2_60_12_256 = 0x00000008, + + // from RFC 8391 but not approved by NIST SP.800-208 + // (see footnote on page 16) + XMSSMT_SHA2_20_2_512 = 0x00000009, + XMSSMT_SHA2_20_4_512 = 0x0000000a, + XMSSMT_SHA2_40_2_512 = 0x0000000b, + XMSSMT_SHA2_40_4_512 = 0x0000000c, + XMSSMT_SHA2_40_8_512 = 0x0000000d, + XMSSMT_SHA2_60_3_512 = 0x0000000e, + XMSSMT_SHA2_60_6_512 = 0x0000000f, + XMSSMT_SHA2_60_12_512 = 0x00000010, + XMSSMT_SHAKE_20_2_256 = 0x00000011, + XMSSMT_SHAKE_20_4_256 = 0x00000012, + XMSSMT_SHAKE_40_2_256 = 0x00000013, + XMSSMT_SHAKE_40_4_256 = 0x00000014, + XMSSMT_SHAKE_40_8_256 = 0x00000015, + XMSSMT_SHAKE_60_3_256 = 0x00000016, + XMSSMT_SHAKE_60_6_256 = 0x00000017, + XMSSMT_SHAKE_60_12_256 = 0x00000018, + XMSSMT_SHAKE_20_2_512 = 0x00000019, + XMSSMT_SHAKE_20_4_512 = 0x0000001a, + XMSSMT_SHAKE_40_2_512 = 0x0000001b, + XMSSMT_SHAKE_40_4_512 = 0x0000001c, + XMSSMT_SHAKE_40_8_512 = 0x0000001d, + XMSSMT_SHAKE_60_3_512 = 0x0000001e, + XMSSMT_SHAKE_60_6_512 = 0x0000001f, + XMSSMT_SHAKE_60_12_512 = 0x00000020, + + // from NIST SP800-208 + XMSSMT_SHA2_20_2_192 = 0x00000021, + XMSSMT_SHA2_20_4_192 = 0x00000022, + XMSSMT_SHA2_40_2_192 = 0x00000023, + XMSSMT_SHA2_40_4_192 = 0x00000024, + XMSSMT_SHA2_40_8_192 = 0x00000025, + XMSSMT_SHA2_60_3_192 = 0x00000026, + XMSSMT_SHA2_60_6_192 = 0x00000027, + XMSSMT_SHA2_60_12_192 = 0x00000028, + XMSSMT_SHAKE256_20_2_256 = 0x00000029, + XMSSMT_SHAKE256_20_4_256 = 0x0000002a, + XMSSMT_SHAKE256_40_2_256 = 0x0000002b, + XMSSMT_SHAKE256_40_4_256 = 0x0000002c, + XMSSMT_SHAKE256_40_8_256 = 0x0000002d, + XMSSMT_SHAKE256_60_3_256 = 0x0000002e, + XMSSMT_SHAKE256_60_6_256 = 0x0000002f, + XMSSMT_SHAKE256_60_12_256 = 0x00000030, + XMSSMT_SHAKE256_20_2_192 = 0x00000031, + XMSSMT_SHAKE256_20_4_192 = 0x00000032, + XMSSMT_SHAKE256_40_2_192 = 0x00000033, + XMSSMT_SHAKE256_40_4_192 = 0x00000034, + XMSSMT_SHAKE256_40_8_192 = 0x00000035, + XMSSMT_SHAKE256_60_3_192 = 0x00000036, + XMSSMT_SHAKE256_60_6_192 = 0x00000037, + XMSSMT_SHAKE256_60_12_192 = 0x00000038 + }; + + static xmssmt_algorithm_t xmssmt_id_from_string(std::string_view algo_name); + + explicit XMSSMT_Parameters(std::string_view algo_name); + explicit XMSSMT_Parameters(xmssmt_algorithm_t oid); + + /** + * @return XMSS^MT registry name for the chosen parameter set. + **/ + const std::string& name() const { return m_name; } + + const std::string& hash_function_name() const { return m_hash_name; } + + /** + * Retrieves the uniform length of a message, and the size of + * each node. This correlates to XMSS^MT parameter "n" defined + * in [1]. + * + * @return element length in bytes. + **/ + size_t element_size() const { return m_element_size; } + + /** + * Retrieves the length of the hash identifier (domain separator) + * in bytes. See definition of `toByte()` in RFC 8391 Section 2.4 + * and the concrete definitions of hash functions in Section 5.1 + * where this parameter is always equal to the output length of the + * underlying hash primitive. Also see NIST SP.800-208 where + * instantiations utilizing truncated hashes use shorter hash IDs. + */ + size_t hash_id_size() const { return m_hash_id_size; } + + /** + * @returns The total height (number of levels - 1) of the tree + **/ + size_t tree_height() const { return m_tree_height; } + + /** + * @returns The height of one XMSS tree in the XMSS^MT hyper tree. + **/ + size_t xmss_tree_height() const { + // Note: All layers are of equal height, i.e., the total height is guaranteed to be divisible by the number of layers. + return m_tree_height / m_tree_layers; + } + + /** + * @returns The size of the encoded index value in an XMSS^MT signatures and keys (at most 8 bytes). + **/ + size_t encoded_idx_size() const { return (m_tree_height + 7) / 8; } // ceil(h/8) + + /** + * @returns The number of layers in the hypertree + **/ + size_t tree_layers() const { return m_tree_layers; } + + /** + * @returns total number of signatures allowed for this XMSS^MT instance + */ + uint64_t total_number_of_signatures() const { return uint64_t(1) << tree_height(); } + + /** + * The Winternitz parameter. + * + * @return numeric base used for internal representation of + * data. + **/ + size_t wots_parameter() const { return m_w; } + + size_t len() const { return m_len; } + + xmssmt_algorithm_t oid() const { return m_oid; } + + XMSS_WOTS_Parameters::ots_algorithm_t ots_oid() const { return m_wots_oid; } + + /** + * Returns the estimated pre-quantum security level of + * the chosen algorithm. + **/ + size_t estimated_strength() const { return m_strength; } + + size_t raw_public_key_size() const { return sizeof(uint32_t) + 2 * element_size(); } + + size_t raw_private_key_size() const { return raw_public_key_size() + encoded_idx_size() + 2 * element_size(); } + + bool operator==(const XMSSMT_Parameters& p) const { return m_oid == p.m_oid; } + + private: + xmssmt_algorithm_t m_oid; + XMSS_WOTS_Parameters::ots_algorithm_t m_wots_oid; + std::string m_name; + std::string m_hash_name; + size_t m_element_size; + size_t m_hash_id_size; + size_t m_tree_height; + size_t m_tree_layers; + size_t m_w; + size_t m_len; + size_t m_strength; +}; + +} // namespace Botan + +#endif diff --git a/src/lib/pubkey/xmssmt/xmssmt_privatekey.cpp b/src/lib/pubkey/xmssmt/xmssmt_privatekey.cpp new file mode 100644 index 00000000000..adc1fe74cdc --- /dev/null +++ b/src/lib/pubkey/xmssmt/xmssmt_privatekey.cpp @@ -0,0 +1,246 @@ +/* + * XMSS^MT Private Key + * (C) 2026 Johannes Roth + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#include + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#if defined(BOTAN_HAS_THREAD_UTILS) + #include +#endif +namespace Botan { + +namespace { + +// fall back to raw decoding for previous versions, which did not encode an OCTET STRING +secure_vector extract_raw_private_key(std::span key_bits, + const XMSSMT_Parameters& xmssmt_params) { + secure_vector raw_key; + + // The public part of the input key bits was already parsed, so we can + // decide depending on the buffer length whether this must be BER decoded. + if(key_bits.size() == xmssmt_params.raw_private_key_size()) { + raw_key.assign(key_bits.begin(), key_bits.end()); + } else { + BER_Decoder(key_bits).decode(raw_key, ASN1_Type::OctetString).verify_end(); + } + + return raw_key; +} + +} // namespace + +class XMSSMT_PrivateKey_Internal { + public: + XMSSMT_PrivateKey_Internal(const XMSSMT_Parameters& xmssmt_params, + const XMSS_WOTS_Parameters& wots_params, + RandomNumberGenerator& rng) : + m_xmssmt_params(xmssmt_params), + m_wots_params(wots_params), + m_hash(m_xmssmt_params.hash_function_name(), m_xmssmt_params.hash_id_size()), + m_prf(rng.random_vec(xmssmt_params.element_size())), + m_private_seed(rng.random_vec(xmssmt_params.element_size())), + m_keyid(Stateful_Key_Index_Registry::KeyId("XMSSMT", m_xmssmt_params.oid(), m_private_seed, m_prf)) {} + + XMSSMT_PrivateKey_Internal(const XMSSMT_Parameters& xmssmt_params, + const XMSS_WOTS_Parameters& wots_params, + secure_vector private_seed, + secure_vector prf) : + m_xmssmt_params(xmssmt_params), + m_wots_params(wots_params), + m_hash(m_xmssmt_params.hash_function_name(), m_xmssmt_params.hash_id_size()), + m_prf(std::move(prf)), + m_private_seed(std::move(private_seed)), + m_keyid(Stateful_Key_Index_Registry::KeyId("XMSSMT", m_xmssmt_params.oid(), m_private_seed, m_prf)) {} + + XMSSMT_PrivateKey_Internal(const XMSSMT_Parameters& xmssmt_params, + const XMSS_WOTS_Parameters& wots_params, + std::span key_bits) : + m_xmssmt_params(xmssmt_params), + m_wots_params(wots_params), + m_hash(m_xmssmt_params.hash_function_name(), m_xmssmt_params.hash_id_size()), + m_keyid(/* initialized later*/) { + const secure_vector raw_key = extract_raw_private_key(key_bits, xmssmt_params); + + if(raw_key.size() != m_xmssmt_params.raw_private_key_size()) { + throw Decoding_Error("Invalid XMSS^MT private key size"); + } + + BufferSlicer s(raw_key); + + // We're not interested in the public key here + s.skip(m_xmssmt_params.raw_public_key_size()); + + auto unused_leaf_bytes = s.take(xmssmt_params.encoded_idx_size()); + uint64_t unused_leaf = 0; + for(const uint8_t unused_leaf_byte : unused_leaf_bytes) { + unused_leaf = (unused_leaf << 8) | static_cast(unused_leaf_byte); + } + if(unused_leaf >= (1ULL << m_xmssmt_params.tree_height())) { + throw Decoding_Error("XMSS^MT private key leaf index out of bounds"); + } + + m_prf = s.copy_as_secure_vector(m_xmssmt_params.element_size()); + m_private_seed = s.copy_as_secure_vector(m_xmssmt_params.element_size()); + m_keyid = Stateful_Key_Index_Registry::KeyId("XMSSMT", m_xmssmt_params.oid(), m_private_seed, m_prf); + + // Note m_keyid must be initialized before set_unused_leaf_index is called! + set_unused_leaf_index(unused_leaf); + + BOTAN_ASSERT_NOMSG(s.empty()); + } + + secure_vector serialize(std::vector raw_public_key) const { + std::vector unused_index(m_xmssmt_params.encoded_idx_size()); + uint64_t idx = unused_leaf_index(); + for(size_t i = 0; i < unused_index.size(); i++) { + unused_index[unused_index.size() - 1 - i] = static_cast(idx & 0xFF); + idx >>= 8; + } + + return concat>(raw_public_key, unused_index, m_prf, m_private_seed); + } + + const secure_vector& prf_value() const { return m_prf; } + + const secure_vector& private_seed() { return m_private_seed; } + + const XMSS_WOTS_Parameters& wots_parameters() { return m_wots_params; } + + void set_unused_leaf_index(uint64_t idx) { + if(idx >= (1ULL << m_xmssmt_params.tree_height())) { + throw Decoding_Error("XMSS^MT private key leaf index out of bounds"); + } else { + Stateful_Key_Index_Registry::global().set_index_lower_bound(m_keyid, idx); + } + } + + uint64_t reserve_unused_leaf_index() { + const uint64_t idx = Stateful_Key_Index_Registry::global().reserve_next_index(m_keyid); + if(idx >= m_xmssmt_params.total_number_of_signatures()) { + throw Decoding_Error("XMSS^MT private key, one time signatures exhausted"); + } + return idx; + } + + uint64_t unused_leaf_index() const { + const uint64_t idx = Stateful_Key_Index_Registry::global().current_index(m_keyid); + return idx; + } + + uint64_t remaining_signatures() const { + const uint64_t max = m_xmssmt_params.total_number_of_signatures(); + return Stateful_Key_Index_Registry::global().remaining_operations(m_keyid, max); + } + + private: + XMSSMT_Parameters m_xmssmt_params; + XMSS_WOTS_Parameters m_wots_params; + + XMSS_Hash m_hash; + secure_vector m_prf; + secure_vector m_private_seed; + Stateful_Key_Index_Registry::KeyId m_keyid; +}; + +XMSSMT_PrivateKey::XMSSMT_PrivateKey(std::span key_bits) : + XMSSMT_PublicKey(key_bits), + m_private(std::make_shared(m_xmssmt_params, m_wots_params, key_bits)) {} + +XMSSMT_PrivateKey::XMSSMT_PrivateKey(XMSSMT_Parameters::xmssmt_algorithm_t xmssmt_algo_id, RandomNumberGenerator& rng) : + XMSSMT_PublicKey(xmssmt_algo_id, rng), + m_private(std::make_shared(m_xmssmt_params, m_wots_params, rng)) { + XMSS_Address adrs; + adrs.set_layer_addr(static_cast(m_xmssmt_params.tree_layers() - 1)); + XMSS_Hash hash(m_xmssmt_params.hash_function_name(), m_xmssmt_params.hash_id_size()); + m_root = tree_hash(0, XMSSMT_PublicKey::m_xmssmt_params.xmss_tree_height(), adrs, hash); +} + +XMSSMT_PrivateKey::XMSSMT_PrivateKey(XMSSMT_Parameters::xmssmt_algorithm_t xmssmt_algo_id, + uint64_t idx_leaf, + secure_vector wots_priv_seed, + secure_vector prf, + secure_vector root, + secure_vector public_seed) : + XMSSMT_PublicKey(xmssmt_algo_id, std::move(root), std::move(public_seed)), + m_private(std::make_shared( + m_xmssmt_params, m_wots_params, std::move(wots_priv_seed), std::move(prf))) { + m_private->set_unused_leaf_index(idx_leaf); + BOTAN_ARG_CHECK(m_private->prf_value().size() == m_xmssmt_params.element_size(), + "XMSS^MT: unexpected byte length of PRF value"); + BOTAN_ARG_CHECK(m_private->private_seed().size() == m_xmssmt_params.element_size(), + "XMSS^MT: unexpected byte length of private seed"); +} + +secure_vector XMSSMT_PrivateKey::tree_hash(uint32_t start_idx, + size_t target_node_height, + XMSS_Address adrs, + XMSS_Hash& hash) const { + return XMSS_Core_Ops::tree_hash( + start_idx, + target_node_height, + adrs, + hash, + m_private->wots_parameters(), + this->public_seed(), + [this](XMSS_Address adrs_inner, XMSS_Hash& hash_inner) { return wots_public_key_for(adrs_inner, hash_inner); }); +} + +XMSS_WOTS_PublicKey XMSSMT_PrivateKey::wots_public_key_for(XMSS_Address& adrs, XMSS_Hash& hash) const { + const auto private_key = wots_private_key_for(adrs, hash); + return XMSS_WOTS_PublicKey(m_private->wots_parameters(), m_public_seed, private_key, adrs, hash); +} + +XMSS_WOTS_PrivateKey XMSSMT_PrivateKey::wots_private_key_for(XMSS_Address& adrs, XMSS_Hash& hash) const { + return XMSS_WOTS_PrivateKey(m_private->wots_parameters(), m_public_seed, m_private->private_seed(), adrs, hash); +} + +secure_vector XMSSMT_PrivateKey::private_key_bits() const { + return DER_Encoder().encode(raw_private_key(), ASN1_Type::OctetString).get_contents(); +} + +uint64_t XMSSMT_PrivateKey::reserve_unused_leaf_index() { + return m_private->reserve_unused_leaf_index(); +} + +std::optional XMSSMT_PrivateKey::remaining_operations() const { + return m_private->remaining_signatures(); +} + +const secure_vector& XMSSMT_PrivateKey::prf_value() const { + return m_private->prf_value(); +} + +secure_vector XMSSMT_PrivateKey::raw_private_key() const { + return m_private->serialize(raw_public_key_bits()); +} + +std::unique_ptr XMSSMT_PrivateKey::public_key() const { + return std::make_unique(xmssmt_parameters().oid(), root(), public_seed()); +} + +std::unique_ptr XMSSMT_PrivateKey::create_signature_op(RandomNumberGenerator& /*rng*/, + std::string_view /*params*/, + std::string_view provider) const { + if(provider == "base" || provider.empty()) { + return std::make_unique(*this); + } + + throw Provider_Not_Found(algo_name(), provider); +} + +} // namespace Botan diff --git a/src/lib/pubkey/xmssmt/xmssmt_publickey.cpp b/src/lib/pubkey/xmssmt/xmssmt_publickey.cpp new file mode 100644 index 00000000000..fb74e69c263 --- /dev/null +++ b/src/lib/pubkey/xmssmt/xmssmt_publickey.cpp @@ -0,0 +1,118 @@ +/* + * XMSS^MT Public Key + * (C) 2026 Johannes Roth + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#include + +#include +#include +#include +#include +#include +#include +#include +#include +#include + +namespace Botan { + +namespace { + +XMSSMT_Parameters::xmssmt_algorithm_t deserialize_xmssmt_oid(std::span raw_key) { + if(raw_key.size() < 4) { + throw Decoding_Error("XMSS^MT signature OID missing."); + } + + // extract and convert algorithm id to enum type + uint32_t raw_id = 0; + for(size_t i = 0; i < 4; i++) { + raw_id = ((raw_id << 8) | raw_key[i]); + } + + return static_cast(raw_id); +} + +// fall back to raw decoding +// TODO: in contrast to XMSS there are no old versions to support, however, the test vectors are decoded as raw keys (no octet string) +// encode test vector public keys accordingly and remove the fallback here (?) +std::vector extract_raw_xmssmt_public_key(std::span key_bits) { + std::vector raw_key; + try { + BER_Decoder(key_bits).decode(raw_key, ASN1_Type::OctetString).verify_end(); + + // Smoke check the decoded key. Valid raw keys might be decodable as BER + // and they might be either a sole public key or a concatenation of public + // and private key (with the optional WOTS+ derivation identifier). + const XMSSMT_Parameters params(deserialize_xmssmt_oid(raw_key)); + if(raw_key.size() != params.raw_public_key_size() && raw_key.size() != params.raw_private_key_size()) { + throw Decoding_Error("unpacked XMSS^MT key does not have the correct length"); + } + } catch(Decoding_Error&) { + raw_key.assign(key_bits.begin(), key_bits.end()); + } catch(Not_Implemented&) { + raw_key.assign(key_bits.begin(), key_bits.end()); + } + + return raw_key; +} +} // namespace + +XMSSMT_PublicKey::XMSSMT_PublicKey(XMSSMT_Parameters::xmssmt_algorithm_t xmssmt_oid, RandomNumberGenerator& rng) : + m_xmssmt_params(xmssmt_oid), + m_wots_params(m_xmssmt_params.ots_oid()), + m_root(m_xmssmt_params.element_size()), + m_public_seed(rng.random_vec(m_xmssmt_params.element_size())) {} + +XMSSMT_PublicKey::XMSSMT_PublicKey(std::span key_bits) : + m_raw_key(extract_raw_xmssmt_public_key(key_bits)), + m_xmssmt_params(deserialize_xmssmt_oid(m_raw_key)), + m_wots_params(m_xmssmt_params.ots_oid()) { + if(m_raw_key.size() < m_xmssmt_params.raw_public_key_size()) { + throw Decoding_Error("Invalid XMSS^MT public key size detected"); + } + + BufferSlicer s(m_raw_key); + s.skip(4 /* algorithm ID -- already consumed by `deserialize_xmssmt_oid()` */); + + m_root = s.copy_as_secure_vector(m_xmssmt_params.element_size()); + m_public_seed = s.copy_as_secure_vector(m_xmssmt_params.element_size()); +} + +XMSSMT_PublicKey::XMSSMT_PublicKey(XMSSMT_Parameters::xmssmt_algorithm_t xmssmt_oid, + secure_vector root, + secure_vector public_seed) : + m_xmssmt_params(xmssmt_oid), + m_wots_params(m_xmssmt_params.ots_oid()), + m_root(std::move(root)), + m_public_seed(std::move(public_seed)) { + BOTAN_ARG_CHECK(m_root.size() == m_xmssmt_params.element_size(), "XMSS^MT: unexpected byte length of root hash"); + BOTAN_ARG_CHECK(m_public_seed.size() == m_xmssmt_params.element_size(), + "XMSS^MT: unexpected byte length of public seed"); +} + +std::vector XMSSMT_PublicKey::raw_public_key_bits() const { + return concat>(store_be(static_cast(m_xmssmt_params.oid())), m_root, m_public_seed); +} + +std::vector XMSSMT_PublicKey::public_key_bits() const { + std::vector output; + DER_Encoder(output).encode(raw_public_key_bits(), ASN1_Type::OctetString); + return output; +} + +std::unique_ptr XMSSMT_PublicKey::generate_another(RandomNumberGenerator& rng) const { + return std::make_unique(m_xmssmt_params.oid(), rng); +} + +std::unique_ptr XMSSMT_PublicKey::create_verification_op(std::string_view /*params*/, + std::string_view provider) const { + if(provider == "base" || provider.empty()) { + return std::make_unique(*this); + } + throw Provider_Not_Found(algo_name(), provider); +} + +} // namespace Botan diff --git a/src/lib/pubkey/xmssmt/xmssmt_signature.cpp b/src/lib/pubkey/xmssmt/xmssmt_signature.cpp new file mode 100644 index 00000000000..2a6f27425f1 --- /dev/null +++ b/src/lib/pubkey/xmssmt/xmssmt_signature.cpp @@ -0,0 +1,80 @@ +/* + * XMSS^MT Signature + * (C) 2026 Johannes Roth + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#include + +#include +#include +#include + +namespace Botan { + +XMSSMT_Signature::XMSSMT_Signature(XMSSMT_Parameters::xmssmt_algorithm_t oid, std::span raw_sig) : + m_xmssmt_params(XMSSMT_Parameters(oid)), m_leaf_idx(0), m_randomness(0, 0x00) { + const size_t idx_size = m_xmssmt_params.encoded_idx_size(); + + // (ceil(h / 8) + n + (h + d * len) * n) + if(raw_sig.size() != + (idx_size + (m_xmssmt_params.tree_height() + (m_xmssmt_params.tree_layers() * m_xmssmt_params.len()) + 1) * + m_xmssmt_params.element_size())) { + throw Decoding_Error("XMSS^MT signature size invalid."); + } + + for(size_t i = 0; i < idx_size; i++) { + m_leaf_idx = ((m_leaf_idx << 8) | raw_sig[i]); + } + + if(m_leaf_idx >= m_xmssmt_params.total_number_of_signatures()) { + throw Decoding_Error("XMSS^MT signature leaf index out of bounds."); + } + + auto begin = raw_sig.begin() + idx_size; + auto end = begin + m_xmssmt_params.element_size(); + std::copy(begin, end, std::back_inserter(m_randomness)); + + for(size_t d = 0; d < m_xmssmt_params.tree_layers(); d++) { + XMSS_TreeSignature tmp_tree_sig; + for(size_t i = 0; i < m_xmssmt_params.len(); i++) { + begin = end; + end = begin + m_xmssmt_params.element_size(); + tmp_tree_sig.ots_signature.push_back(secure_vector(0)); + tmp_tree_sig.ots_signature.back().reserve(m_xmssmt_params.element_size()); + std::copy(begin, end, std::back_inserter(tmp_tree_sig.ots_signature.back())); + } + + for(size_t i = 0; i < m_xmssmt_params.xmss_tree_height(); i++) { + begin = end; + end = begin + m_xmssmt_params.element_size(); + tmp_tree_sig.authentication_path.push_back(secure_vector(0)); + tmp_tree_sig.authentication_path.back().reserve(m_xmssmt_params.element_size()); + std::copy(begin, end, std::back_inserter(tmp_tree_sig.authentication_path.back())); + } + m_tree_sigs.push_back(std::move(tmp_tree_sig)); + } +} + +std::vector XMSSMT_Signature::bytes() const { + std::vector result(m_xmssmt_params.encoded_idx_size()); + for(size_t i = 0; i < result.size(); i++) { + result[result.size() - 1 - i] = static_cast(m_leaf_idx >> (8 * i)); + } + + std::copy(m_randomness.begin(), m_randomness.end(), std::back_inserter(result)); + + for(size_t d = 0; d < m_tree_sigs.size(); d++) { + for(const auto& sig : tree(d).ots_signature) { + std::copy(sig.begin(), sig.end(), std::back_inserter(result)); + } + + for(const auto& auth : tree(d).authentication_path) { + std::copy(auth.begin(), auth.end(), std::back_inserter(result)); + } + } + return result; +} + +} // namespace Botan diff --git a/src/lib/pubkey/xmssmt/xmssmt_signature.h b/src/lib/pubkey/xmssmt/xmssmt_signature.h new file mode 100644 index 00000000000..f793d69fd8c --- /dev/null +++ b/src/lib/pubkey/xmssmt/xmssmt_signature.h @@ -0,0 +1,84 @@ +/* + * XMSS^MT Signature + * (C) 2026 Johannes Roth + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#ifndef BOTAN_XMSSMT_SIGNATURE_H_ +#define BOTAN_XMSSMT_SIGNATURE_H_ + +#include +#include +#include +#include +#include +#include +#include + +namespace Botan { + +/** + * Helper class for marshalling an XMSS^MT signature + */ +class XMSSMT_Signature final { + public: + /** + * Creates a signature from an XMSS^MT signature method and a uint8_t sequence + * representing a raw signature. + * + * @param oid XMSS^MT signature method + * @param raw_sig An XMSS^MT signature serialized using + * XMSSMT_Signature::bytes(). + **/ + XMSSMT_Signature(XMSSMT_Parameters::xmssmt_algorithm_t oid, std::span raw_sig); + + /** + * Creates an XMSS^MT Signature from XMSS^MT params, a leaf index used for signature + * generation, a random value and a vector of reduced XMSS signatures. + * + * @param xmssmt_params XMSS^MT Parameters. + * @param leaf_idx Leaf index used to generate the signature. + * @param randomness A random value. + * @param tree_sigs A vector of tree signatures. + **/ + XMSSMT_Signature(XMSSMT_Parameters xmssmt_params, + uint64_t leaf_idx, + secure_vector randomness, + std::vector tree_sigs) : + m_xmssmt_params(std::move(xmssmt_params)), + m_leaf_idx(leaf_idx), + m_randomness(std::move(randomness)), + m_tree_sigs(std::move(tree_sigs)) {} + + uint64_t unused_leaf_index() const { return m_leaf_idx; } + + const secure_vector& randomness() const { return m_randomness; } + + const std::vector& trees() const { return m_tree_sigs; } + + const XMSS_TreeSignature& tree(size_t i) const { return m_tree_sigs[i]; } + + /** + * Generates a serialized representation of XMSS^MT Signature by + * concatenating the following elements in order: + * ceil(h/8) leaf index, n-bytes randomness, d * (ots_signature + authentication path) reduced XMSS signatures + * + * n is the element_size(), len equal to len(), h the tree height, d the number of layers in the hypertree, + * defined by the chosen XMSS^MT signature method. + * + * @return serialized signature, a sequence of + * (ceil(h / 8) + n + (h + d * len) * n) bytes. + **/ + std::vector bytes() const; + + private: + XMSSMT_Parameters m_xmssmt_params; + uint64_t m_leaf_idx; + secure_vector m_randomness; + std::vector m_tree_sigs; +}; + +} // namespace Botan + +#endif diff --git a/src/lib/pubkey/xmssmt/xmssmt_signature_operation.cpp b/src/lib/pubkey/xmssmt/xmssmt_signature_operation.cpp new file mode 100644 index 00000000000..a0841834cdb --- /dev/null +++ b/src/lib/pubkey/xmssmt/xmssmt_signature_operation.cpp @@ -0,0 +1,139 @@ +/* + * XMSS^MT Signature Operation + * Signature generation operation for Extended Hash-Based Signatures (XMSS^MT) as + * defined in: + * + * [1] XMSS: Extended Hash-Based Signatures, + * Request for Comments: 8391 + * Release: May 2018. + * https://datatracker.ietf.org/doc/rfc8391/ + * + * (C) 2026 Johannes Roth + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#include + +#include + +namespace Botan { + +XMSSMT_Signature_Operation::XMSSMT_Signature_Operation(const XMSSMT_PrivateKey& private_key) : + m_priv_key(private_key), + m_hash(private_key.xmssmt_parameters().hash_function_name(), private_key.xmssmt_parameters().hash_id_size()), + m_randomness(0), + m_leaf_idx(0), + m_is_initialized(false) {} + +XMSS_TreeSignature XMSSMT_Signature_Operation::generate_tree_signature(const secure_vector& msg, + XMSS_Address& adrs, + uint32_t idx_leaf) { + XMSS_TreeSignature result; + + result.ots_signature = + m_priv_key.wots_private_key_for(adrs, m_hash).sign(msg, m_priv_key.public_seed(), adrs, m_hash); + + result.authentication_path = build_auth_path(idx_leaf, adrs); + return result; +} + +secure_vector XMSSMT_Signature_Operation::root_from_signature(const XMSS_TreeSignature& tree_sig, + const secure_vector& msg, + const XMSS_Address& adrs, + uint32_t leaf_idx) { + const XMSSMT_Parameters& params = m_priv_key.xmssmt_parameters(); + return XMSS_Core_Ops::root_from_signature(leaf_idx, + tree_sig, + msg, + adrs, + m_priv_key.public_seed(), + m_hash, + params.element_size(), + params.xmss_tree_height(), + params.len(), + params.ots_oid()); +} + +size_t XMSSMT_Signature_Operation::signature_length() const { + const auto& params = m_priv_key.xmssmt_parameters(); + return params.encoded_idx_size() + params.element_size() + + params.tree_layers() * (params.len() + params.xmss_tree_height()) * params.element_size(); +} + +wots_keysig_t XMSSMT_Signature_Operation::build_auth_path(uint32_t idx_leaf, const XMSS_Address& adrs) { + const auto& params = m_priv_key.xmssmt_parameters(); + wots_keysig_t auth_path(params.xmss_tree_height()); + + for(size_t j = 0; j < params.xmss_tree_height(); j++) { + const uint32_t k = (idx_leaf / (static_cast(1) << j)) ^ 0x01; + auth_path[j] = m_priv_key.tree_hash(k * (static_cast(1) << j), j, adrs, m_hash); + } + + return auth_path; +} + +void XMSSMT_Signature_Operation::update(std::span input) { + initialize(); + m_hash.h_msg_update(input); +} + +std::vector XMSSMT_Signature_Operation::sign(RandomNumberGenerator& /*rng*/) { + initialize(); + + const auto msg_hash = m_hash.h_msg_final(); + + const XMSSMT_Parameters& params = m_priv_key.xmssmt_parameters(); + BOTAN_ASSERT_NOMSG(params.xmss_tree_height() > 0 && params.xmss_tree_height() < 32); + std::vector tree_sigs; + + uint64_t idx_tree = m_leaf_idx; + secure_vector node = msg_hash; + for(size_t i = 0; i < params.tree_layers(); i++) { + const uint32_t idx_leaf = (idx_tree & ((1 << params.xmss_tree_height()) - 1)); + idx_tree = idx_tree >> params.xmss_tree_height(); + + XMSS_Address adrs; + adrs.set_type(XMSS_Address::Type::OTS_Hash_Address); + adrs.set_layer_addr(static_cast(i)); + adrs.set_tree_addr(idx_tree); + adrs.set_ots_address(idx_leaf); + tree_sigs.push_back(generate_tree_signature(node, adrs, idx_leaf)); + + // compute the root node of the current XMSS tree (not for the top level tree) + if(i < params.tree_layers() - 1) { + // use the auth path to compute the root node efficiently + node = root_from_signature(tree_sigs[i], node, adrs, idx_leaf); + } + } + + const XMSSMT_Signature sig(params, m_leaf_idx, m_randomness, tree_sigs); + m_is_initialized = false; + return sig.bytes(); +} + +void XMSSMT_Signature_Operation::initialize() { + // return if we already initialized and reserved a leaf index for signing. + if(m_is_initialized) { + return; + } + + secure_vector index_bytes; + // reserve leaf index so it can not be reused by another signature + // operation using the same private key. + m_leaf_idx = m_priv_key.reserve_unused_leaf_index(); + + // write prefix for message hashing into buffer. + xmss_concat(index_bytes, m_leaf_idx, 32); + m_hash.prf(m_randomness, m_priv_key.prf_value(), index_bytes); + index_bytes.clear(); + xmss_concat(index_bytes, m_leaf_idx, m_priv_key.xmssmt_parameters().element_size()); + m_hash.h_msg_init(m_randomness, m_priv_key.root(), index_bytes); + m_is_initialized = true; +} + +AlgorithmIdentifier XMSSMT_Signature_Operation::algorithm_identifier() const { + return AlgorithmIdentifier(OID::from_string("XMSSMT"), AlgorithmIdentifier::USE_EMPTY_PARAM); +} + +} // namespace Botan diff --git a/src/lib/pubkey/xmssmt/xmssmt_signature_operation.h b/src/lib/pubkey/xmssmt/xmssmt_signature_operation.h new file mode 100644 index 00000000000..2695a01c116 --- /dev/null +++ b/src/lib/pubkey/xmssmt/xmssmt_signature_operation.h @@ -0,0 +1,77 @@ +/* + * XMSS^MT Signature Operation + * (C) 2026 Johannes Roth + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#ifndef BOTAN_XMSSMT_SIGNATURE_OPERATION_H_ +#define BOTAN_XMSSMT_SIGNATURE_OPERATION_H_ + +#include +#include +#include +#include +#include +#include + +namespace Botan { + +/** + * Signature generation operation for Extended Hash-Based Signatures (XMSS^MT) as + * defined in: + * + * [1] XMSS: Extended Hash-Based Signatures, + * Request for Comments: 8391 + * Release: May 2018. + * https://datatracker.ietf.org/doc/rfc8391/ + **/ +class XMSSMT_Signature_Operation final : public virtual PK_Ops::Signature { + public: + explicit XMSSMT_Signature_Operation(const XMSSMT_PrivateKey& private_key); + + /** + * Creates an XMSS^MT signature for the message provided through call to + * update(). + * + * @return serialized XMSS^MT signature. + **/ + std::vector sign(RandomNumberGenerator& rng) override; + + void update(std::span input) override; + + size_t signature_length() const override; + + AlgorithmIdentifier algorithm_identifier() const override; + + std::string hash_function() const override { return m_hash.hash_function(); } + + private: + XMSS_TreeSignature generate_tree_signature(const secure_vector& msg, + XMSS_Address& adrs, + uint32_t idx_leaf); + + /* The code is structured to compute the authpath via multiple treehash()-calls on distinct subtrees. + This means the root node is not computed along the way. + Instead of calling treehash again to obtain the root (inefficient, recomputes the tree), we have this helper function to simply "hash up the auth path" as we would do for verification. + A more efficient approach would be to keep track of the required internal nodes. + */ + secure_vector root_from_signature(const XMSS_TreeSignature& tree_sig, + const secure_vector& msg, + const XMSS_Address& adrs, + uint32_t leaf_idx); + + wots_keysig_t build_auth_path(uint32_t idx_leaf, const XMSS_Address& adrs); + + void initialize(); + + XMSSMT_PrivateKey m_priv_key; + XMSS_Hash m_hash; + secure_vector m_randomness; + uint64_t m_leaf_idx; + bool m_is_initialized; +}; + +} // namespace Botan + +#endif diff --git a/src/lib/pubkey/xmssmt/xmssmt_verification_operation.cpp b/src/lib/pubkey/xmssmt/xmssmt_verification_operation.cpp new file mode 100644 index 00000000000..8e313ab7867 --- /dev/null +++ b/src/lib/pubkey/xmssmt/xmssmt_verification_operation.cpp @@ -0,0 +1,85 @@ +/* + * XMSS^MT Verification Operation + * Provides signature verification capabilities for Extended Hash-Based + * Signatures (XMSS^MT). + * + * (C) 2026 Johannes Roth + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#include + +#include +#include + +namespace Botan { + +XMSSMT_Verification_Operation::XMSSMT_Verification_Operation(const XMSSMT_PublicKey& public_key) : + m_pub_key(public_key), + m_hash(public_key.xmssmt_parameters().hash_function_name(), public_key.xmssmt_parameters().hash_id_size()), + m_msg_buf(0) {} + +bool XMSSMT_Verification_Operation::verify(const XMSSMT_Signature& sig, + const secure_vector& msg, + const XMSSMT_PublicKey& public_key) { + const XMSSMT_Parameters& params = public_key.xmssmt_parameters(); + BOTAN_ASSERT_NOMSG(params.xmss_tree_height() > 0 && params.xmss_tree_height() < 32); + XMSS_Address adrs; + secure_vector index_bytes; + xmss_concat(index_bytes, sig.unused_leaf_index(), params.element_size()); + const secure_vector msg_digest = m_hash.h_msg(sig.randomness(), public_key.root(), index_bytes, msg); + + uint64_t idx_tree = sig.unused_leaf_index(); + + adrs.set_layer_addr(0); + adrs.set_tree_addr(idx_tree); + + secure_vector node = msg_digest; + + for(size_t i = 0; i < params.tree_layers(); i++) { + const uint32_t idx_leaf = (idx_tree & ((1 << params.xmss_tree_height()) - 1)); + idx_tree = idx_tree >> params.xmss_tree_height(); + + adrs.set_layer_addr(static_cast(i)); + adrs.set_tree_addr(idx_tree); + + node = XMSS_Core_Ops::root_from_signature(idx_leaf, + sig.tree(i), + node, + adrs, + public_key.public_seed(), + m_hash, + params.element_size(), + params.xmss_tree_height(), + params.len(), + params.ots_oid()); + } + + return (node == public_key.root()); +} + +// FIXME: XMSS signature verification requires the "randomness" parameter out +// of the XMSS signature, which is part of the prefix that is hashed before +// msg. Since the signature is unknown till sign() is called all message +// content has to be buffered. For large messages this can be inconvenient or +// impossible. +// Possible solution: Change PK_Ops::Verification interface to take the +// signature as constructor argument, make sign a parameterless member call. +void XMSSMT_Verification_Operation::update(std::span input) { + m_msg_buf.insert(m_msg_buf.end(), input.begin(), input.end()); +} + +bool XMSSMT_Verification_Operation::is_valid_signature(std::span sig) { + try { + const XMSSMT_Signature signature(m_pub_key.xmssmt_parameters().oid(), sig); + const bool result = verify(signature, m_msg_buf, m_pub_key); + m_msg_buf.clear(); + return result; + } catch(...) { + m_msg_buf.clear(); + return false; + } +} + +} // namespace Botan diff --git a/src/lib/pubkey/xmssmt/xmssmt_verification_operation.h b/src/lib/pubkey/xmssmt/xmssmt_verification_operation.h new file mode 100644 index 00000000000..da7927cf974 --- /dev/null +++ b/src/lib/pubkey/xmssmt/xmssmt_verification_operation.h @@ -0,0 +1,52 @@ +/* + * XMSS^MT Verification Operation + * (C) 2026 Johannes Roth + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#ifndef BOTAN_XMSSMT_VERIFICATION_OPERATION_H_ +#define BOTAN_XMSSMT_VERIFICATION_OPERATION_H_ + +#include +#include +#include +#include + +namespace Botan { + +/** + * Provides signature verification capabilities for Extended Hash-Based + * Signatures (XMSS^MT). + **/ +class XMSSMT_Verification_Operation final : public virtual PK_Ops::Verification { + public: + explicit XMSSMT_Verification_Operation(const XMSSMT_PublicKey& public_key); + + bool is_valid_signature(std::span sign) override; + + void update(std::span input) override; + + std::string hash_function() const override { return m_hash.hash_function(); } + + private: + /** + * Algorithm 17: "XMSSMT_verify" + * Verifies a XMSS^MT signature using the corresponding XMSS^MT public key. + * + * @param sig A XMSS^MT signature. + * @param msg The message signed with sig. + * @param pub_key the public key + * + * @return true if signature sig is valid for msg, false otherwise. + **/ + bool verify(const XMSSMT_Signature& sig, const secure_vector& msg, const XMSSMT_PublicKey& pub_key); + + const XMSSMT_PublicKey m_pub_key; + XMSS_Hash m_hash; + secure_vector m_msg_buf; +}; + +} // namespace Botan + +#endif diff --git a/src/lib/x509/x509_obj.cpp b/src/lib/x509/x509_obj.cpp index 325e1204540..8be1b49c4c6 100644 --- a/src/lib/x509/x509_obj.cpp +++ b/src/lib/x509/x509_obj.cpp @@ -170,7 +170,7 @@ std::string x509_signature_padding_for(const std::string& algo_name, return user_specified_padding.empty() ? "Pure" : std::string(user_specified_padding); } else if(algo_name.starts_with("Dilithium-") || algo_name == "ML-DSA") { return user_specified_padding.empty() ? "Randomized" : std::string(user_specified_padding); - } else if(algo_name == "XMSS" || algo_name == "HSS-LMS" || algo_name == "SLH-DSA") { + } else if(algo_name == "XMSS" || algo_name == "XMSSMT" || algo_name == "HSS-LMS" || algo_name == "SLH-DSA") { // These algorithms do not take any padding, but if the user insists, we pass it along return std::string(user_specified_padding); } else { diff --git a/src/scripts/ci_build.py b/src/scripts/ci_build.py index 996e953da1b..5949002a92e 100755 --- a/src/scripts/ci_build.py +++ b/src/scripts/ci_build.py @@ -913,6 +913,8 @@ def main(args=None): 'srp6_rt', 'unit_tls', 'x509_path_bsi', 'x509_path_rsa_pss', 'xmss_keygen', 'xmss_keygen_reference', 'xmss_sign', 'xmss_unit_tests', 'xmss_verify', 'xmss_verify_invalid', + 'xmssmt_keygen', 'xmssmt_keygen_reference', 'xmssmt_sign', 'xmssmt_unit_tests', + 'xmssmt_verify', 'xmssmt_verify_invalid', ] slow_tests += [f"dilithium_kat_{mode}_{rand}" for mode in ('6x5', '8x7', '6x5_AES', '8x7_AES') for rand in ('Deterministic', 'Randomized')] slow_tests += [f"ml_dsa_kat_{mode}_{rand}" for mode in ('6x5', '8x7') for rand in ('Deterministic', 'Randomized')] diff --git a/src/scripts/dev_tools/xmss_test_vector_from_reference.py b/src/scripts/dev_tools/xmss_test_vector_from_reference.py index 1548b86c76c..e87139bec35 100755 --- a/src/scripts/dev_tools/xmss_test_vector_from_reference.py +++ b/src/scripts/dev_tools/xmss_test_vector_from_reference.py @@ -40,43 +40,81 @@ def fromhex(s): KEYGEN_UTIL = "ui/xmss_keypair" SIGN_UTIL = "ui/xmss_sign" +# use the fast variant to vastly speed up signature generation +KEYGEN_UTIL_XMSSMT = "ui/xmssmt_keypair_fast" +SIGN_UTIL_XMSSMT = "ui/xmssmt_sign_fast" + + TEST_MESSAGES = [b'', fromhex("01020304"), fromhex("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")] +def elem_size_by_param_name(param): + match True: + case _ if param.endswith("192"): + return 24 + case _ if param.endswith("256"): + return 32 + case _ if param.endswith("512"): + return 64 + case _: + raise RuntimeError("Invalid param name") + +def idx_len_by_param_name(param): + if is_xmss(param): + return 4 + full_height = int(param.split('_')[1].split('/')[0]) + return (full_height + 7) // 8 + +def is_xmss(param): + return not param.startswith("XMSSMT") + + +# XMSS: +# * Format sk: [(32bit) index || SK_SEED || SK_PRF || root || PUB_SEED] +# * Format pk: [root || PUB_SEED], omitting algorithm OID. +# XMSS^MT: +# * Format sk: [(ceil(h/8) bit) idx || SK_SEED || SK_PRF || root || PUB_SEED] +# * Format pk: [root || PUB_SEED] omitting algo oid. +# +# Keypair output format (both): [oid || pk || oid || sk] class Keypair: @staticmethod async def generate(xmss_param): - for _ in range(5): + if is_xmss(xmss_param): keypair = await run(KEYGEN_UTIL, [xmss_param]) - if len(keypair) < 8: - continue - - oid = keypair[0:4] - - # Slicing fails if the oid appears in the public key by chance. - # This is just a simple test generation script, so we don't really - # care about the bias this introduces. - if keypair.count(oid) == 2: - return Keypair(xmss_param, keypair) - - raise RuntimeError("Keypair generation failed") + else: + keypair = await run(KEYGEN_UTIL_XMSSMT, [xmss_param]) + return Keypair(xmss_param, keypair) def __init__(self, xmss_params, keypair): self.keypair = keypair self.oid = self.keypair[0:4] - self.params_name = xmss_params[5:] + if is_xmss(xmss_params): + self.params_name = xmss_params[5:] + self.is_xmss = True + else: + self.params_name = xmss_params[7:] + self.is_xmss = False + + n = elem_size_by_param_name(xmss_params) + pk_len = 4 + 2*n # oid + seed + root # transform the public/private keys into the format Botan expects - sk_slice = self.keypair.find(self.oid, 4) - self.public_key = self.keypair[:sk_slice] - secret_portion = self.keypair[sk_slice+4:-len(self.public_key)+4] - n = int((len(secret_portion) - 4) / 2) - self.idx = secret_portion[0:4] - self.secret_seed = secret_portion[4:n+4] - self.secret_prf = secret_portion[n+4:] - self.public_seed = self.public_key[n+4:n*2+4] - wots_derivation_method = "\x02" # WOTS+ derivation as described in NIST SP.800-208 - self.secret_key = self.public_key + self.idx + self.secret_prf + self.secret_seed + wots_derivation_method + idx_len = idx_len_by_param_name(xmss_params) + self.public_key = self.keypair[:pk_len] + secret_portion = self.keypair[pk_len+4:(pk_len + 4 + idx_len + 4*n)] # skip oid for private key + + self.idx = secret_portion[0:idx_len] + self.secret_seed = secret_portion[idx_len:n+idx_len] + self.secret_prf = secret_portion[n+idx_len:n*2+idx_len] + self.public_seed = secret_portion[n*3+idx_len:n*4+idx_len] + + if is_xmss(xmss_params): + wots_derivation_method = b'\x02' # WOTS+ derivation as described in NIST SP.800-208 + self.secret_key = self.public_key + self.idx + self.secret_prf + self.secret_seed + wots_derivation_method + else: + # we do not need a derivation method for XMSSMT since there never was another derivation method + self.secret_key = self.public_key + self.idx + self.secret_prf + self.secret_seed async def sign(self, message): with tempfile.NamedTemporaryFile() as msg_file, tempfile.NamedTemporaryFile() as key_file: @@ -84,7 +122,10 @@ async def sign(self, message): key_file.flush() msg_file.write(message) msg_file.flush() - signature_and_msg = await run(SIGN_UTIL, [key_file.name, msg_file.name]) + if self.is_xmss: + signature_and_msg = await run(SIGN_UTIL, [key_file.name, msg_file.name]) + else: + signature_and_msg = await run(SIGN_UTIL_XMSSMT, [key_file.name, msg_file.name]) return signature_and_msg[:-len(message)] if len(message) != 0 else signature_and_msg diff --git a/src/scripts/test_python.py b/src/scripts/test_python.py index a17352385ef..b6311c857cb 100644 --- a/src/scripts/test_python.py +++ b/src/scripts/test_python.py @@ -557,6 +557,12 @@ def test_stateful_operations(self): remaining = priv2.remaining_operations() self.assertEqual(remaining, 1024) + priv3 = botan.PrivateKey.create('XMSSMT', 'XMSSMT-SHA2_20/2_256', rng) + self.assertEqual(priv3.stateful_operation(), True) + + remaining = priv3.remaining_operations() + self.assertEqual(remaining, 1024*1024) + def test_check_key(self): # valid (if rather small) RSA key n = 273279220906618527352827457840955116141 diff --git a/src/tests/data/pubkey/api_sign.vec b/src/tests/data/pubkey/api_sign.vec index 43d55ae7d49..3f6d7e305ea 100644 --- a/src/tests/data/pubkey/api_sign.vec +++ b/src/tests/data/pubkey/api_sign.vec @@ -63,3 +63,8 @@ SigParams = AlgoParams = XMSS-SHA2_10_256 SigParams = SHA2_10_256 + +[XMSSMT] + +AlgoParams = XMSSMT-SHA2_20/2_256 +SigParams = SHA2_20/2_256 diff --git a/src/tests/data/pubkey/xmssmt_invalid.vec b/src/tests/data/pubkey/xmssmt_invalid.vec new file mode 100644 index 00000000000..244bd0918a8 --- /dev/null +++ b/src/tests/data/pubkey/xmssmt_invalid.vec @@ -0,0 +1,35 @@ +# Original message for the following generic mutations +#Params = SHA2_20/2_256 +#Msg = +#PublicKey = 0000000142b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 +#InvalidSignature = 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+ +# invalid msg +Params = SHA2_20/2_256 +Msg = 1234 +PublicKey = 0000000142b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 +InvalidSignature = 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+ +# wrong oid +Params = SHA2_20/2_256 +Msg = +PublicKey = 0000000242b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 +InvalidSignature = 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+ +# invalid sig leaf index +Params = SHA2_20/2_256 +Msg = +PublicKey = 0000000142b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 +InvalidSignature = 010000392f62185f31e06cce1cace363c11fd357c235b8c78db68f290843f25a19f1d8f15159380a936305d973d78e8e996ecbf1826f0f0854f6d65ee2a9923481253c4a7ec4ea939b45bcee74af91a43fb6289b5014c9ccde3d31bed35de585871226c681dd4017b4fd6d05a5481c0be00b734fc6211b5d02aa0382cb1f799129ecf6e0dea00291855be78e98fae5397b690737f031de4e694868e41f79660dff2ef7e4497c4dba2549906ca3e432fb2f7de6ca5895c6957da4e3bd971e399b5de126515ad4263261e8e7c1caf3188e375bafd2877e11d3761d44be16db6d27adae9840bad7c1b2be278e46fb0022bf8124520e29096709902b2ba3e7caccc488b5a59705b8ef63e2cd000e151eb47944d158516665f38117e5d713bb0c46fd3ab3a5661658b4c9a526b31ce946824ec5f306891aeb2cd9178cb7108bf9a006107379c9325f893c278a7ff0956da525bbde8de39406ed3da286655282687e700d252fc08ce920156eefe7385fef26c2802d2f418dd24494bf3e5def5fffc036a11f4d6f207be1d1e88bcdcc6bdeb900237fdfa53bb2522513efaf09bf7e37058664b8e2bb352ee5f8797c72ddc16a414029b120a170f6557f4079802644f40c77ffb8ebcf5b5dbbea8b62e1603fdf953b24b67275119a67190b25ea3332d939bc1063b7be023e64f3851ee908a9521f94f0bcc2cf9e85184cec29b3d2073dcf5c0a4890020e351b12c4ad99e561e562f6d7f67f9cfe793a1dade8711df2334be0fe0d409d4a02bb2d57de88c0d2978d30ed7c72782f192d09350910229f1e62fe8b180a574dbfb0f178f255a0ad50fb654ed9b3b11df79826dc5bb34e03684a2c9323cf5c217595efb9f5bafd0f90f5561f4a136441257b9173771f15126468e931f4a0c2486f36acb0b44d35675192aecb7f442246aec6773397c4aae0701a31ca34b4df64b4fde5ecc61afecf8a9e015a0963f18cfaa2ca93b79db1cd8b74a6ef27da6a734d55ac57ed9806b4806f45199a18c19a79dd36352b27ec4839b10b3c8d1b60db52297c7084d0cf181694ebd9533e8f5cf9f58fb176ba976b67ee8d61222fadb55851a203d08a65d5b87bd580fdd95cda4066bd5f0d31e80b1f400348e3475c9b08b97ece8747d932314861b40ccfefb0cb1d6bfcb230e5097202f7ba77b4e3372712d2408a1f9e5f4136f67adb8176e2a8b72c4cd4a34cfe7870bc0b650343d9a597aea3a297682097d425c54f2c538cb66fc9213e723003732e2253220ad928e8a9ec46fb1d195a4208e54b9c11cbb693c9c171d3dee377da2e38f42c0d6134dc05b36913bdad930cf061a11b8b228a3515c3e575646407f86ba1fc39133d58e4d6605e903008e9c2f2e34f9aceabec7f671465a8de6265d16a57a4d0877d5aa50968d5b78776fac91b8337e4c86e2356f69e2f0ec528a6b34d9078424d68242dbedbb4bc8497f88f43825c57636628941906cf853d71488aff0b2340389992e456bd771dacc1cf88e3361e992b717673f3a7905cc7b71485485a21a66464e2b6fb299c5d14eaf421ef9c9f82e1ce095631e7afccf84902ab81a5cebb0e26bd77edacedd758cef59fe44c882a6f1231f3d115f9c184569f60987175892ce1a7c635e20b9338fb7cd132d5f5d14f02c5c14c6ac15587c503dc840a2a1e383212c8aece62c47b1f9d68531d1cfcb97fa31d049827b49d2e2d06778d98696847fb342a5d26d67f5b3731b3398f40707309e88aa3b227258147b8c4a493b56823dbb8eae25da169b41a54d751abe2b0dc82002811e26bdf6c06d5ed42a042c350c7a545b9fa23eff2967863429a62c4c688b8ce6bbcc574a8c78737e2ddbbdd11f4092ce72d5e0994ec78c62541521d8e2463db551ce424843d6821c1288b0c8f445409bb10c9b7411511864f83da0befd419eaed7dfa8feb4ef3c7a3fa8cd05e2d93688a78408d723e584ee484c208be937e9b644ffc3b59f218ff0aa7917cddb1e9a3868dfa4065f9fc1eaa4e028bdfbb389ee65c252f3463d3c9ff19d090fab229a05d6472d90f412d0e96af14df7fdc2410dcc5448e9089d5a6d4aba1c054eaaad76cb32e3411f9dc21392b8eb8e41c59214deddf34f654a46c35344fd0c0ebf16c4476a85301f448e48312818cd6c9bfd8a419bc1273ac37481f500414fb77be0b86be75ca30dc9ed5847edcafb56eae8ba7edf3d18baa43a7cfef8a859766eadd362fbc752d92ea32a88249bf45c34f15f01fe5887d8914872e110452575a6ee4c52dee75b61f7d053af5f3b49e3a3fbb2bdf946f265a8bb7cb0670e5507f35199df91fe83b3fbecb2812780996c1ea5b05d72b84622f10662e1c2cd649d69600043a99c9095c246d256ec6b6dfe476f3c48ad40cd4903db9ce2d5aef7d7d11da199af95d4184b1742f5505f2bfd7a54524ed30d68cbd616b0835793e3adc2aab328e59512ac40c92e1b6c316ac87d10f3920f0bb6e588ea6a174f7d8abf5984cd3f740344619e079dc4e21dd9901d554b8b12d9f7f66bbd4241b98d79d42bcab9a246164c25cb6e3e85904eba33cf80bece2b5b8ea078aed337db369ee3102d00fdc205dcfc3dbd0609706952b7acf6f96d326e6c6cefe7222fc349beb5f5460b8b9ce2e6ce9aefe64bed2732ac8867309dccd5e40a0c000395160e6d734b2322b71ed92182fd34db6a62618c77c9889c98bb1278ccdb568ac618dd26f676685ff1a72574f56bc71dd13b1cd0d3956ea02b833869e7c87f2f05b60adb1fe0f4f6b23d2e2525de37e416a877a3b689863fd8cdc3a3f90137cbba7468c5ea62b779ab9b8588fea57b16e5910e3efc87c66a9006509598d41ca0088054fb43c7370bfad5b8ff54cf5419dca68dda19781b6f0be0f12b5f60d721cd69999c850b245872c5053dc6b86c3effd1bb0456d973c9be530fabf0897a9d901633e1033363536cc7d71627dbab5986499f33ccf4e462018b8b969eea3bdd2b1af5c16b49d85ba927947e465f0545445289e5e1fdf9290a6f07c6f5df11c3fcc84efc643463815251ed5aadf149f635a25b1474eeaf9c25eec35ef6d5cbe0223266cc8dc2a93a568114620c3eb6c465419500e11d2e5ab3d00f83f2a5e3c0ae0bb3cd593dd43ffb0ce013eef072e59bee636e801537a87aa52fdf251f695ceb4e98e040022f66c47b92835753d744d1c533358a0bea603ca3aadabab6a0fb37aba03bc5f9a59aa6115245660ea2391d4afb1455f1d27760673f93bc97ddb94f9852cc8d659e4b5c60aee483f824464a658d1af8122e5ae0a0e4431fc4cd949c29ba8205ecc003562f4309e96b2602479f9478754fa038f348bdcd60608d358683b0d701bbf3998653a7a352818ef668f27c327f7aa1cbec9a230baa9bdbe0b015c93d78e358f04c79c00de4638b9a782cc4e3f07389c4618fb2e76aa25b160d2e0a7d72ae1a714bd149ed6d7b284b1cf3e9d319cd5e576817dee11b8fae5ccce9606ea5c7198b282c2ff47776afc801efedddd587e34b9b4a94fdc422405cb5ea2e3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+ +# corrupted sig data +Params = SHA2_20/2_256 +Msg = +PublicKey = 0000000142b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 +InvalidSignature = 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+ +# add 1 byte to the sig data +Params = SHA2_20/2_256 +Msg = +PublicKey = 0000000142b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 +InvalidSignature = 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diff --git a/src/tests/data/pubkey/xmssmt_keygen.vec b/src/tests/data/pubkey/xmssmt_keygen.vec new file mode 100644 index 00000000000..858e3e6737c --- /dev/null +++ b/src/tests/data/pubkey/xmssmt_keygen.vec @@ -0,0 +1,302 @@ +# This test vector was generated from the reference implementation. +# For further details see: +# src/scripts/xmss_test_vector_from_reference.py +# +# Due to time constraints we test key and signature generation with +# a tree height of '10' or '5' only, i.e., where `total height / number of layers <= 10`. +# Use the above mentioned script to +# generate test data for other parameter sets as necessary. + +Params = XMSSMT-SHA2_20/2_192 +SecretSeed = c0f1e541f2d03727568087b9d86b8cf19e7c0e26bacea553 +PublicSeed = d659710f64f1c61c7a29fdca59ede335f7dee5c8f8cc5da4 +SecretPrf = b2552733f1cf1d120820c5f1fe3b5aa75d98f628e5fc2c5e +PublicKey = 000000215bb14cbd5eead320c12640fe91d5457c44cb31fb9df1d021d659710f64f1c61c7a29fdca59ede335f7dee5c8f8cc5da4 +PrivateKey = 000000215bb14cbd5eead320c12640fe91d5457c44cb31fb9df1d021d659710f64f1c61c7a29fdca59ede335f7dee5c8f8cc5da4000000b2552733f1cf1d120820c5f1fe3b5aa75d98f628e5fc2c5ec0f1e541f2d03727568087b9d86b8cf19e7c0e26bacea553 + +Params = XMSSMT-SHA2_20/2_256 +SecretSeed = fb06b81600543d5195835c10a3c160e9568e940c894488588b1cba16186e299c +PublicSeed = 15c1ecdccce70f3820adeda79e804b8877013e38e554278c0943ffbac1095093 +SecretPrf = b67cb582a540e795613359605945aaa37486ef58f864196a73076b8bb7a57849 +PublicKey = 00000001cbb0d8f9aef701539b7d583350509bd36c1eb810d18f22c5cfc439c1c4b468aa15c1ecdccce70f3820adeda79e804b8877013e38e554278c0943ffbac1095093 +PrivateKey = 00000001cbb0d8f9aef701539b7d583350509bd36c1eb810d18f22c5cfc439c1c4b468aa15c1ecdccce70f3820adeda79e804b8877013e38e554278c0943ffbac1095093000000b67cb582a540e795613359605945aaa37486ef58f864196a73076b8bb7a57849fb06b81600543d5195835c10a3c160e9568e940c894488588b1cba16186e299c + +Params = XMSSMT-SHA2_20/2_512 +SecretSeed = 1fce0e24ba0963d24e669d92da390e08222460b01d8d814be7cd1e44fe0cf56f72cfda2d1b924ab8003d04b20a1ed514bb0f26c7c49afa5b8fd59b291b163cad +PublicSeed = 21c563be7fd7d90e22dc571023e178d73ec9c1aab1667b2dc6e8a805c81c0d336fc785414b5b126ab0d8c5e4a640812f99d0cebccfb60d49294bb29fbe40f31b +SecretPrf = cf01d9b331e424b393f4589653c2224075b35f48f8e42b78ab02fab59d9ee3e5e706ed72c1fe53de7d9a05c94c779f9336f0d8b602447187c6a1153a9f552fc0 +PublicKey = 00000009aeb9577e1d1e497fdb1b00308d0bfe7598ede0c88ee05053899b69686335871773aaaafada691bb0cc67952ea03c0819ae05711e769bdfe1eb84968c362ebfda21c563be7fd7d90e22dc571023e178d73ec9c1aab1667b2dc6e8a805c81c0d336fc785414b5b126ab0d8c5e4a640812f99d0cebccfb60d49294bb29fbe40f31b +PrivateKey = 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 + +Params = XMSSMT-SHA2_20/4_192 +SecretSeed = 34885b55f01244edb32021da9f75036ddee3ddeeb9a627ca +PublicSeed = b1eb7e2731c0695237e148c815c9966559781d145e2efe82 +SecretPrf = f55d6e776d5f06c7c4d7189131e7107b8346203ac9e0736d +PublicKey = 00000022f045d223ec4f057a37e1bd52d4fc0978990ca0398f58745eb1eb7e2731c0695237e148c815c9966559781d145e2efe82 +PrivateKey = 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0000001ce9cfc26afd42db9c221b2b0378149fd40e91ade4e6d16a3fcfd05ddb3298a7e6b0ffac0f495ba1750f79e38f0e9c1f58800a3dbdf7c85ceea3aafdfbfe12437c2d29cd395726ab07340c00cd7cfac794fa505a90f7bee3b7dcd12373ce2e59f78f9d4107e27733b152e18e237f957548b82f06f5e4238131ce3a7853a8c21baa +PrivateKey = 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 + +Params = XMSSMT-SHAKE_40/8_256 +SecretSeed = a740f6b737c4f81a2314e3444658a310877eed08d2a1a33b6dbb5da2aa3531cd +PublicSeed = 6e648d75bbce9d151355aa8539f741dad6ac0572b326605a19726a892ac7d233 +SecretPrf = ba3bbe13426ea49b2ff82c2459524dd9be580071190b6e5dbd5460067e753ff9 +PublicKey = 000000158e076a8823c48fdf18b2e587dfc85a548b7e6847cbc6aaff86ee24a0c3e780836e648d75bbce9d151355aa8539f741dad6ac0572b326605a19726a892ac7d233 +PrivateKey = 000000158e076a8823c48fdf18b2e587dfc85a548b7e6847cbc6aaff86ee24a0c3e780836e648d75bbce9d151355aa8539f741dad6ac0572b326605a19726a892ac7d2330000000000ba3bbe13426ea49b2ff82c2459524dd9be580071190b6e5dbd5460067e753ff9a740f6b737c4f81a2314e3444658a310877eed08d2a1a33b6dbb5da2aa3531cd + +Params = XMSSMT-SHAKE_40/8_512 +SecretSeed = c66dc88f16c535690b6b55a77d88642bafea099664b0aaaf86f3eab2152bafccec53bfb198ff4434bc10af1bcdeb939aecfe4760bb342d153895b25a084fc527 +PublicSeed = f577e9ff02d0a9c47bb3389119424e379259560cf85b850dc8c16cef3b44406cdd75528c5b27cb3fc7dba0595f531aa1ce44958f9b79f4413367913decde5786 +SecretPrf = 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+SecretSeed = 7ae37090157d408b96f11d3f7956a449e8a6805f0de069936ac6e5cf43af33af +PublicSeed = 585f0c935736b05eb8692c90095f023ac2a3d1156de7cec1278e9cd804e254f0 +SecretPrf = 1dfad7ea2af131e5284137a3c53bb4ab652e4ae7b1575839cf572819fd9dcd69 +PublicKey = 0000001768450bb291d06eaf5f97caf1aab862b162e2e11c26140a62dcdf99614da67700585f0c935736b05eb8692c90095f023ac2a3d1156de7cec1278e9cd804e254f0 +PrivateKey = 0000001768450bb291d06eaf5f97caf1aab862b162e2e11c26140a62dcdf99614da67700585f0c935736b05eb8692c90095f023ac2a3d1156de7cec1278e9cd804e254f000000000000000001dfad7ea2af131e5284137a3c53bb4ab652e4ae7b1575839cf572819fd9dcd697ae37090157d408b96f11d3f7956a449e8a6805f0de069936ac6e5cf43af33af + +Params = XMSSMT-SHAKE_60/6_512 +SecretSeed = fa20108805b01441124ed7c473367a5540045e0f9362b0f129c38d22db6543b04e8b73d96ddebeb136f8fd99960f223c92795942e2439177b779b9c49a77e9a3 +PublicSeed = 681cd078f0250b83fe9b7d8ae98f20f6fe886035c4a91fd6dfe8f35575d1ce98c0ab876ebe3ce080d9aae7e94e87cca1677a302e6438540bfd86974c0dc07068 +SecretPrf = d795fff6ae046becc8784c5a6da7b588aecfaa5cc0be8c998d84fe1bf48772b8ac87cbb742232fe15891bb6f284b467c7dfeca59d70a0ac221215e546d63fd88 +PublicKey = 0000001fe8ebaa1dc21ef34c0679d3a47493790f573232b99e733230737e3273fbb6aed63b05cccd3baa8680be10e7b96e064bec28526f3e91a702de75de10bc0b45e8f0681cd078f0250b83fe9b7d8ae98f20f6fe886035c4a91fd6dfe8f35575d1ce98c0ab876ebe3ce080d9aae7e94e87cca1677a302e6438540bfd86974c0dc07068 +PrivateKey = 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 diff --git a/src/tests/data/pubkey/xmssmt_sig.vec b/src/tests/data/pubkey/xmssmt_sig.vec new file mode 100644 index 00000000000..3b09f4925bc --- /dev/null +++ b/src/tests/data/pubkey/xmssmt_sig.vec @@ -0,0 +1,678 @@ +# This test vector was generated from the reference implementation. +# For further details see: +# src/scripts/xmss_test_vector_from_reference.py +# +# Due to time constraints we test key and signature generation with +# a tree height of '10' or '5' only, i.e., where `total height / number of layers <= 10`. +# Use the above mentioned script to +# generate test data for other parameter sets as necessary. + +Params = SHA2_20/2_192 +Msg = +PrivateKey = 000000219db9d257f8753116109019366c2691190fb1d1808e2ab521b35e0f6213b2c1b103874035c26149ba65550b6dd6b751870000003309bfe8b391e2f9d28e15266907ea1423eacea0085fc43b62cb8eb391e3978be9694f1b0fd4e3962d8f1bac1150bbd4 +Signature = 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 + +Params = SHA2_20/2_192 +Msg = 01020304 +PrivateKey = 0000002151fb74a367131de4143623a580c95a275c861d0a06faf06055b64665c3297790a0ea42640d568c92c7ed31ca0cb29b1300000080de0875aade14b6a4923ffeec857d5f09c2fe02c38f9948609b067dc1e8164aae4780faedbbde13988c285ec7e7738b +Signature = 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+ +Params = SHA2_20/2_192 +Msg = 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+ +Params = SHAKE256_20/4_192 +Msg = 01020304 +PrivateKey = 000000325f581526e584ed79b1975fd4c0d09ca8f89fda551b2fce40397404db813593cdddce46bc17b66cc5dcc69eb2e4f9d699000000e89531d687ce4900d3a731f9508cac2124c1966603a75a888d1a4fb9d60c9439d18182493ed34f64554b4eca98dae759 +Signature = 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+ +Params = SHAKE256_20/4_192 +Msg = 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+ +Params = SHAKE256_20/4_256 +Msg = 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+ +Params = SHAKE256_40/8_256 +Msg = +PrivateKey = 0000002d2ac103c289c5fea102ee2e5bfd0575670eae441b90158cf017c896872368a2b07ba6254b893b426d834c24aba3764eedeb93e1b9d8030df4ada99cfef6ddc0e0000000000069118928bfd0e5d53c8d982bb0640fa712b933e371085deffd15620bcd6742d657825f5ad841be09b6e8a4c7f2b0e65d8ccd727a2a92870f5754b7ccaa6ab2a7 +Signature = 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+ +Params = SHAKE256_60/6_256 +Msg = +PrivateKey = 0000002fd9c30ca8f2a249093608fb7cbfcd8fc5a9efa5cfaafffaf487207355121776f6bc5d870dac5e390f5fbf988b078811bddef66dccb8052d9d96c6b7cf6050dbd700000000000000007e41d9bd23ac17f16bf044ef3608c4904f995728e23025ce7b50aebd31f8fec975651eda41bb0ae4f58cc2db0381b75ea5e6c7e59f9748720070744d4a61515c +Signature = 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+ +###################################################### +# Test various leaf indices for XMSSMT-SHA2_20/4_256 # +###################################################### + +# leaf idx = 1023 +Params = SHA2_20/4_256 +Msg = +PrivateKey = 00000002ade3aa5cc62f8f7a8f5c4005ea5b6c05176d334aaa320e52426a76b4edf6ca7263add5dd6258cfbdbd943ec650d06e476fd920a5a39bd8caeaf363d8d9f2a1880003ffbc95359f6ea2c54a832755869c200fb699d5e3a3b5a62bcb0f6e03a961290775f3fa9bed1f845e9e4bd4c7e376797894d7f4b238cc0ccf53d27f29c51d23b6ca +Signature = 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+ +# leaf idx = 1024 +Params = SHA2_20/4_256 +Msg = +PrivateKey = 00000002ade3aa5cc62f8f7a8f5c4005ea5b6c05176d334aaa320e52426a76b4edf6ca7263add5dd6258cfbdbd943ec650d06e476fd920a5a39bd8caeaf363d8d9f2a188000400bc95359f6ea2c54a832755869c200fb699d5e3a3b5a62bcb0f6e03a961290775f3fa9bed1f845e9e4bd4c7e376797894d7f4b238cc0ccf53d27f29c51d23b6ca +Signature = 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+ +# leaf idx = 1025 +Params = SHA2_20/4_256 +Msg = +PrivateKey = 00000002ade3aa5cc62f8f7a8f5c4005ea5b6c05176d334aaa320e52426a76b4edf6ca7263add5dd6258cfbdbd943ec650d06e476fd920a5a39bd8caeaf363d8d9f2a188000401bc95359f6ea2c54a832755869c200fb699d5e3a3b5a62bcb0f6e03a961290775f3fa9bed1f845e9e4bd4c7e376797894d7f4b238cc0ccf53d27f29c51d23b6ca +Signature = 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+ +# leaf idx = 2^15 - 1 +Params = SHA2_20/4_256 +Msg = +PrivateKey = 00000002ade3aa5cc62f8f7a8f5c4005ea5b6c05176d334aaa320e52426a76b4edf6ca7263add5dd6258cfbdbd943ec650d06e476fd920a5a39bd8caeaf363d8d9f2a188007fffbc95359f6ea2c54a832755869c200fb699d5e3a3b5a62bcb0f6e03a961290775f3fa9bed1f845e9e4bd4c7e376797894d7f4b238cc0ccf53d27f29c51d23b6ca +Signature = 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+ +# leaf idx = 2^15 +Params = SHA2_20/4_256 +Msg = +PrivateKey = 00000002ade3aa5cc62f8f7a8f5c4005ea5b6c05176d334aaa320e52426a76b4edf6ca7263add5dd6258cfbdbd943ec650d06e476fd920a5a39bd8caeaf363d8d9f2a188008000bc95359f6ea2c54a832755869c200fb699d5e3a3b5a62bcb0f6e03a961290775f3fa9bed1f845e9e4bd4c7e376797894d7f4b238cc0ccf53d27f29c51d23b6ca +Signature = 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+ +# leaf idx = 2^15 + 1 +Params = SHA2_20/4_256 +Msg = +PrivateKey = 00000002ade3aa5cc62f8f7a8f5c4005ea5b6c05176d334aaa320e52426a76b4edf6ca7263add5dd6258cfbdbd943ec650d06e476fd920a5a39bd8caeaf363d8d9f2a188008001bc95359f6ea2c54a832755869c200fb699d5e3a3b5a62bcb0f6e03a961290775f3fa9bed1f845e9e4bd4c7e376797894d7f4b238cc0ccf53d27f29c51d23b6ca +Signature = 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diff --git a/src/tests/data/pubkey/xmssmt_verify.vec b/src/tests/data/pubkey/xmssmt_verify.vec new file mode 100644 index 00000000000..6923c09b891 --- /dev/null +++ b/src/tests/data/pubkey/xmssmt_verify.vec @@ -0,0 +1,670 @@ +Params = SHA2_20/2_192 +Msg = +PublicKey = 0000002118bbba5d8a16c9b1790a0adfb3fcce2a30d535aba40c2906c84d937c03dcb875e3dd51abc81075272da827517bca06de +Signature = 000000d3240660b5bffdd529e096373e0574bf9aee71523329288fce327c0d634f8f44dcc4f102e568041bf8d80a42296744602c0ea68c475836db45e4dc68386b6b2e96874c6f73f94897ec40197a6d2d34d4a3ee68d99677279803e89e78821391dad1556f6969b85fa0e8c1aed7eb53eed6e1026bc005d1441ba14f729adb89df72e918bcf757263ea73a021ee0f9633d4701b365ad3e1c7e4b8e5985b0e0e3d927507b23c4b42430e9a7bed0eae7bfd736de471a4d31101e05c4883bd1d0122b6aa4e5bc3c299631271f565b847f3e90b3f1ce89c8b048a2c6f25b398a29ea8365d9006b95492664529222e35bf2ae9156464dc4bad7c432daadde7c148d74cf8d85d4eb06da687d293baf10191eec109b3da5725297ca487d29b0e9ecddb7b40dbb401b18ca3bb84eb8431c0f9e01dd6ceeb37ee45bdd2f8616053aaa5eea583d367a3ff2d6bef31a09b5b0f95b32695e7c06a108e8461e30441ff1312ed9ff7ee8dabc3b543153c7bd7aeb07c9260ff713999120afe2a9ffc737173a0e733e96742b0bbe2604033c7ba9befb9c5a628ff1b0ac8e8796798879730f4054a5cc1cc6908f78b1aea4191ac485403513d9db54799b205b4241d31abf6d18cd970da4fa6c7d11a3418deff9e708b1ee91efab05e7bfb60ca640bb20f8601a318f4c879b8917399d70e21c2ff5ed886539193dad3c31c109c6a7c80e7abce21373db0ebac0ecf7a12d0ab8d25221d9b790e3ae2787043996f40892f0ac46902cacc563997243338557c3d4b5e66711d0cce7cd416e725098830e9a8011d09bbf3f85c329b772caa5ebc9fa725ca8aea476f551e38a3319cdcca9310e2f99ef701c4c18b7cd72d885b49094030c833207be049c5af9a9251ce2f1ecdcc7b548291e682bc01cadcdec914077c271404f6392821598fe054543c97eb6c8e2758b80ad5dc9573c59927a859329a79f4e1ff685342e8d3596ae265f4baa68a0c0f5f1a824334585c428de7cec50c116872f87c36a0e4fea4f86ab9393cb421f23ee5ef8a97f3986ac64fbb9d664532be23cafb07a6330740bf1466873ab51d784b59fb149c21c86ad183e2b110fc569f497dd8b350bcc74262446a32381df6748b4bc3d50ed9f574ad7870732b2bef4744561559a3009ead08a655a33e1de8e7b55c82f7b9c216b5c2ea772a8ee1ddf22f1f459d62c4f7842490244962f7d6eb222f6e9249c8646c405973653e4230623055c06c5f10029aefd83ce3988ff33cab2fe87027b23eefec41420e4bbf76d8486fc5aca702188c7f689447d2af2ad52ad21380ff782685adefc57eafa6a91201005423bbbf685c17e65f23a4c924ff34cfc4293e10594f6a5f110400a85c31006afecc95deb768e18800e82b654d5c7320bf7cda3af3930e5fd3f14ad060a3c147865b2a7be7470712a376b6e9ed2f0331c682730ef8d0df048b160a6fc5d819744fafde517c22107ccb0e8d50ddbf6cc513f257a2bdb921b72ee361d2bc4b76ca3fd67554f82b5df71da97791e9c5eba84655bad6976cfa35a62ff21e57868d160de96fd3f4aca2f884c2d866160e76a534529498c72ffc586016b3efe2b4a7e5a8ea0109ef459039529845e2040ebf111a9a2220c8141f4403828a2d6256cae2c614c6f2dd5608e62b155448436dc1ffdc94b21d0c8857a0731b28f4c03097a2a5e4c9710480c0a4a7f0a9020e3cd9c4e90adab5d610189e0da68e9c1d690543b422ca08d3fe2df02335e1479b61ed4ff15422b47d29142e22a2825a38b93869ff0340cd03046e9e35260d7bb1313d48394660713d833b38b9454cf551285154da03cf4a60f3e51e5ffcf0ceaa7bc0744257ff40defd64a98d81bcf60cfeccaa7f56919b8f886b04a3b429a014a66a2ee860401cf03f56553d85b2260ab0ad198413435146df85d836c162f187352412fd988b9eccf7342a61d11d25b6bcf7f3e7a45e89ffcf08640072212cb4887f509e401ef78dcd524c3b49b6177f4592b0123e146c17d0cc95f9473f761253fabf7e7e973643d7b73db6c855102e72a82f044edef64553ac0677ce8c9cdb05bfdf84f71f71ae4b04a684d7e7626814f6728c4e7cf917bb2a5053c93acfc90fdbaaeb52b284294b56503da97db064c8e8664d966d6c75942d9a4412471b7a669851c8ea5ecc3e17192d0fc9ae402bd50e2fe09edba496ac31bf0a8edee1e5204bf4099aed1e6a10af9e7c3ad7a723a8e4a47a8238d2a9c2f07ecb2723a3d4b3450b8cc8ee8bfe27bc46922281fcd19ae62672ad474f862d1280c2818ccf05028b9960a60c7befff1741d56cf57aad33c8caf78cdbb8d2da77638e538d8e286f3c9585bb2be5136cdd9850229e68e1ec984981e0f1efa0fdce3ce29405d19944542338d80501286d591c53ff131081251fde8b8b4cdc9af3f911b1e9a95fe78eadd031098aba48240d01e349284f20f63c4bbc58b3cca5be22c7e54b77c5f55056cef1044215cf61f5d04da1bbab6cf114c61f7cdcde591aae3cab4f17adce5c59ac51643903a684847cbc65ca611909ace4680543259c5e3eeb5749ff9842883a9ebfffe53b14464b9ceaa468b14894bd901899fe4ec4bd60972ce80b6356bf1088d6b2403d19e89b3ccf0de72a6e71fe0d78716fb96c5dc8658bc4bbc18339a119ea9d20b51f1074ff62f1d77f147ace7326ecfeefa3290205cc47473d510facd708fb4901503115e07a5e4d3b0985455733c40451566be030f945e4f2d1e9d2bd5b2b9cd7f8d740096e3536eec94b8f552abf2c0350af8c225eb150f5350d17a4a76843028c46c86a126c407d8d1efb5da3e7b3b4b78886f4a0691425999acd5e68538d1b823126184de899c69d2824d77e3f0f0a68f8d599a4ec343a6722f881a5d882899a96af3003fadb9044ccd33716f0ba51921f69cacb291360edf83f6f68a755b218dddf614f90cee0cd38f6f91911aa5db08cbf3ee4a7dc9b2ba6fb5e2295d3f6c1fac2233980b532ce38591f2ffa08e2e9c3ca297f11220bc7ba717e03938dbfb1a21dba94c91c9b1ee61ebeda79967297b1cdf45a5ad845e4157dfc5283aab935b20c8c89a53ee20b350631ab805ed83998b6df6fa88164b125828556bdba9b8a34a8633b0bca1aa91fcf4c1aed54dfecac8f6b2a74d38d86a9dcabe8382cffb175f330805743446f815c81eb6907bd8cd975206e2cdd7e14a00e3a7abceecfa4edc273f77781aeed81f9808879940c18560a460e7fde74ec35e9d12eee1d1fd3a7f4eb3153130a502e52e82de20c03476eb17619971249d019c07d11767188e1420ab76afaa6729859d58e12a009f0248d8d709b80ed8bd4c79b344e0cd2c9fd8c5efddad2fe4f8244b62f375fd1dfc2cf4f22c15d48c96fccf06e394e9c3e58239719a4442cacc3b97b21a82ed7da34381627cb0e4e573fe3792cd03c198b29fae451a723687dd6432f8c916425f1da98d0e113200ee8fb9f6433a9a2c9467189dfb4452d1fbd78a781fc23bbaf158106db6100e56ca0eba9ba4428872e8f2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+ +Params = SHA2_20/2_192 +Msg = 01020304 +PublicKey = 000000212003f3e636e7b969f243a341643e693391d2f69f7b21b527efac03ce3aa6454cf999cfc0ea1cf4033b1acf5e6a079ff4 +Signature = 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+ +Params = SHAKE256_40/8_256 +Msg = +PublicKey = 0000002d1ca079eb805701f52e2cc1bc7fbbcf5951f315ef8cc6418a254ccec1f01fddaf6652df319fa6c18b4a14889c97400040df2b80bccd2af00621c0209d7fea7ed5 +Signature = 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+ +Params = SHAKE256_40/8_256 +Msg = 01020304 +PublicKey = 0000002d437acd0624ba11711ebe0319fc0cd05215544e9cd2316baaca906e317344d36673cd07eb070ef92c5e5b61112a728b6079831f51e8c21abb2a2819cbb54c9db4 +Signature = 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+ +Params = SHAKE256_60/12_192 +Msg = +PublicKey = 00000038926cc280024f67a2d937d69c0d8ce91b44360dcbce8a91697876a47401f9da104d08e718ae9d0f80bd043ca7695c0009 +Signature = 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+ +Params = SHAKE256_60/6_256 +Msg = +PublicKey = 0000002f652546ae65d111b70d1c808dfce1ff451f0e279005d5d1f647085a18a7af1387b18a34261481850045a6bd498bb6308a6dda278295e4d1776974c541c85427c5 +Signature = 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+ +Params = SHAKE_40/4_512 +Msg = +PublicKey = 0000001cdd66d92dc5a96135ebad0c8372a24c8d1b4aaa048613c5ddddd50c45ac83ab3f67feaa6e1521bb7aafa6675e66ddf58969344d762d64cc6a4a079cf15933d61cd0f9218515e69ca9a661dbf526556cac065991de7991ff705105e934c9b60fd5ab94847fc9a5a49635cfd20de855ba4c49e4022d8baea1b0c0922db0c23163d8 +Signature = 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+ +Params = SHAKE_40/8_512 +Msg = +PublicKey = 0000001ddca0b7b691b8c7fd5fa6aca67a9cb266eda9b3df541fa88b070e9ba9ce8e25a36f821925ed2dc74a87aae46c749b3f66ffe2779fc0fba3c09079b8338251d765780e25c8cf07ca6219b1be8f863822c783025a1be0db6de36ba1d0ee536ad4f6cbab8c3659b3c940a1dc946dc5e9b7476ca34e8dadbe5319ad84261518a5652f +Signature = 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+ +Params = SHAKE_60/6_512 +Msg = +PublicKey = 0000001f5b5c0c9fcbed461310a032b0c4ba7a775dab3dd057fd712a3e95fb07adfd71137edc0bc8f16159f809886e170255bcbe01eab5d0c6156e5c0af4dadb4969939a512ce920c53dd81afd0d4c7031f859bec98471a8a736bf5e6b5e2d6a716b2ecb112cc76fdd4be1dc0edda2ecfbc13b167fb40a45a25fea6959a46a12716908ec +Signature = 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+ +###################################################### +# Test various leaf indices for XMSSMT-SHA2_20/4_256 # +###################################################### + +# leaf idx = 1023 +Params = SHA2_20/4_256 +Msg = +PublicKey = 00000002ade3aa5cc62f8f7a8f5c4005ea5b6c05176d334aaa320e52426a76b4edf6ca7263add5dd6258cfbdbd943ec650d06e476fd920a5a39bd8caeaf363d8d9f2a188 +Signature = 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+ +# leaf idx = 1024 +Params = SHA2_20/4_256 +Msg = +PublicKey = 00000002ade3aa5cc62f8f7a8f5c4005ea5b6c05176d334aaa320e52426a76b4edf6ca7263add5dd6258cfbdbd943ec650d06e476fd920a5a39bd8caeaf363d8d9f2a188 +Signature = 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+ +# leaf idx = 1025 +Params = SHA2_20/4_256 +Msg = +PublicKey = 00000002ade3aa5cc62f8f7a8f5c4005ea5b6c05176d334aaa320e52426a76b4edf6ca7263add5dd6258cfbdbd943ec650d06e476fd920a5a39bd8caeaf363d8d9f2a188 +Signature = 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+ +# leaf idx = 2^15 - 1 +Params = SHA2_20/4_256 +Msg = +PublicKey = 00000002ade3aa5cc62f8f7a8f5c4005ea5b6c05176d334aaa320e52426a76b4edf6ca7263add5dd6258cfbdbd943ec650d06e476fd920a5a39bd8caeaf363d8d9f2a188 +Signature = 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+ +# leaf idx = 2^15 +Params = SHA2_20/4_256 +Msg = +PublicKey = 00000002ade3aa5cc62f8f7a8f5c4005ea5b6c05176d334aaa320e52426a76b4edf6ca7263add5dd6258cfbdbd943ec650d06e476fd920a5a39bd8caeaf363d8d9f2a188 +Signature = 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+ +# leaf idx = 2^15 + 1 +Params = SHA2_20/4_256 +Msg = +PublicKey = 00000002ade3aa5cc62f8f7a8f5c4005ea5b6c05176d334aaa320e52426a76b4edf6ca7263add5dd6258cfbdbd943ec650d06e476fd920a5a39bd8caeaf363d8d9f2a188 +Signature = 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+ diff --git a/src/tests/test_concurrent_pk.cpp b/src/tests/test_concurrent_pk.cpp index d2d1c0d73d6..2ce2d6fe791 100644 --- a/src/tests/test_concurrent_pk.cpp +++ b/src/tests/test_concurrent_pk.cpp @@ -411,6 +411,7 @@ class Concurrent_Public_Key_Operations_Test : public Test { ConcurrentPkTestCase("SLH-DSA", "SLH-DSA-SHA2-128f"), ConcurrentPkTestCase("HSS-LMS", "SHA-256,HW(5,8)"), ConcurrentPkTestCase("XMSS", "XMSS-SHA2_10_256"), + ConcurrentPkTestCase("XMSSMT", "XMSSMT-SHA2_20/2_256"), }; for(const auto& tc : test_cases) { diff --git a/src/tests/test_ffi.cpp b/src/tests/test_ffi.cpp index fa18944bb2a..1f6113dcd1b 100644 --- a/src/tests/test_ffi.cpp +++ b/src/tests/test_ffi.cpp @@ -3408,6 +3408,31 @@ class FFI_XMSS_Test final : public FFI_Test { } }; +class FFI_XMSSMT_Test final : public FFI_Test { + public: + std::string name() const override { return "FFI XMSSMT"; } + + void ffi_test(Test::Result& result, botan_rng_t rng) override { + botan_privkey_t priv; + if(TEST_FFI_INIT(botan_privkey_create, (&priv, "XMSSMT", "XMSSMT-SHA2_20/2_256", rng))) { + TEST_FFI_OK(botan_privkey_check_key, (priv, rng, 0)); + + TEST_FFI_RC(BOTAN_FFI_ERROR_NULL_POINTER, botan_privkey_stateful_operation, (priv, nullptr)); + TEST_FFI_RC(BOTAN_FFI_ERROR_NULL_POINTER, botan_privkey_remaining_operations, (priv, nullptr)); + + int stateful; + TEST_FFI_OK(botan_privkey_stateful_operation, (priv, &stateful)); + result.test_is_true("key is stateful", stateful == 1); + + uint64_t remaining; + TEST_FFI_OK(botan_privkey_remaining_operations, (priv, &remaining)); + result.test_u64_eq("key has remaining operations", remaining, 1024 * 1024); + + TEST_FFI_OK(botan_privkey_destroy, (priv)); + } + } +}; + class FFI_RSA_Test final : public FFI_Test { public: std::string name() const override { return "FFI RSA"; } @@ -5637,6 +5662,7 @@ BOTAN_REGISTER_TEST("ffi", "ffi_totp", FFI_TOTP_Test); BOTAN_REGISTER_TEST("ffi", "ffi_hotp", FFI_HOTP_Test); BOTAN_REGISTER_TEST("ffi", "ffi_keywrap", FFI_Keywrap_Test); BOTAN_REGISTER_TEST("ffi", "ffi_xmss", FFI_XMSS_Test); +BOTAN_REGISTER_TEST("ffi", "ffi_xmssmt", FFI_XMSSMT_Test); BOTAN_REGISTER_TEST("ffi", "ffi_rsa", FFI_RSA_Test); BOTAN_REGISTER_TEST("ffi", "ffi_dsa", FFI_DSA_Test); BOTAN_REGISTER_TEST("ffi", "ffi_ecdsa", FFI_ECDSA_Test); diff --git a/src/tests/test_pubkey.cpp b/src/tests/test_pubkey.cpp index 9ed58675006..30da60851f1 100644 --- a/src/tests/test_pubkey.cpp +++ b/src/tests/test_pubkey.cpp @@ -695,7 +695,7 @@ std::vector PK_Key_Generation_Test::run() { } result.test_sz_gte("Key has reasonable estimated strength (lower)", key.estimated_strength(), 64); - result.test_sz_lt("Key has reasonable estimated strength (upper)", key.estimated_strength(), 512); + result.test_sz_lte("Key has reasonable estimated strength (upper)", key.estimated_strength(), 512); auto public_key = key.public_key(); diff --git a/src/tests/test_xmssmt.cpp b/src/tests/test_xmssmt.cpp new file mode 100644 index 00000000000..55303c413d7 --- /dev/null +++ b/src/tests/test_xmssmt.cpp @@ -0,0 +1,218 @@ +/* +* Extended Hash-Based Signatures Tests +* +* (C) 2014,2015 Jack Lloyd +* (C) 2016,2018 Matthias Gierlings +* +* Botan is released under the Simplified BSD License (see license.txt) +**/ + +#include "tests.h" + +#if defined(BOTAN_HAS_XMSSMT_RFC8391) + #include "test_pubkey.h" + #include "test_rng.h" + #include + #include + #include + #include + #include + #include +#endif + +namespace Botan_Tests { + +namespace { + +#if defined(BOTAN_HAS_XMSSMT_RFC8391) + +class XMSSMT_Signature_Tests final : public PK_Signature_Generation_Test { + public: + XMSSMT_Signature_Tests() : + PK_Signature_Generation_Test("XMSSMT", "pubkey/xmssmt_sig.vec", "Params,Msg,PrivateKey,Signature") {} + + bool skip_this_test(const std::string& /*header*/, const VarMap& vars) override { + if(Test::run_long_tests() == false) { + const std::string params = vars.get_req_str("Params"); + + if(params.find("60/3") != std::string::npos || params.find("40/2") != std::string::npos) { + return true; + } + + return false; + } + + return false; + } + + std::string default_padding(const VarMap& vars) const override { return vars.get_req_str("Params"); } + + std::unique_ptr load_private_key(const VarMap& vars) override { + const std::vector raw_key = vars.get_req_bin("PrivateKey"); + const Botan::secure_vector sec_key(raw_key.begin(), raw_key.end()); + + return std::make_unique(sec_key); + } +}; + +class XMSSMT_Signature_Verify_Tests final : public PK_Signature_Verification_Test { + public: + XMSSMT_Signature_Verify_Tests() : + PK_Signature_Verification_Test("XMSS^MT", "pubkey/xmssmt_verify.vec", "Params,Msg,PublicKey,Signature") {} + + std::string default_padding(const VarMap& vars) const override { return vars.get_req_str("Params"); } + + std::unique_ptr load_public_key(const VarMap& vars) override { + const std::vector raw_key = vars.get_req_bin("PublicKey"); + return std::make_unique(raw_key); + } + + // bool test_random_invalid_sigs() const override { return false; } +}; + +class XMSSMT_Signature_Verify_Invalid_Tests final : public PK_Signature_NonVerification_Test { + public: + XMSSMT_Signature_Verify_Invalid_Tests() : + PK_Signature_NonVerification_Test( + "XMSSMT", "pubkey/xmssmt_invalid.vec", "Params,Msg,PublicKey,InvalidSignature") {} + + std::string default_padding(const VarMap& vars) const override { return vars.get_req_str("Params"); } + + std::unique_ptr load_public_key(const VarMap& vars) override { + const std::vector raw_key = vars.get_req_bin("PublicKey"); + return std::make_unique(raw_key); + } +}; + +class XMSSMT_Keygen_Tests final : public PK_Key_Generation_Test { + public: + /* all 20/4 parameter sets (fast) so we test all hash variations, + to test different heights the remaining SHA2_*_256 parameter sets excluding 60/3 and 40/2 are included + 60/3 and 40/2 is too slow */ + std::vector keygen_params() const override { + return {"XMSSMT-SHA2_20/4_192", + "XMSSMT-SHAKE256_20/4_192", + "XMSSMT-SHA2_20/4_256", + "XMSSMT-SHAKE_20/4_256", + "XMSSMT-SHAKE256_20/4_256", + "XMSSMT-SHA2_20/4_512", + "XMSSMT-SHAKE_20/4_512", + "XMSSMT-SHA2_20/2_256", + "XMSSMT-SHA2_40/4_256", + "XMSSMT-SHA2_40/8_256", + "XMSSMT-SHA2_60/6_256", + "XMSSMT-SHA2_60/12_256"}; + } + + std::string algo_name() const override { return "XMSSMT"; } + + std::unique_ptr public_key_from_raw(std::string_view /* keygen_params */, + std::string_view /* provider */, + std::span raw_pk) const override { + Botan::BufferSlicer s(raw_pk); + const auto oid = Botan::XMSSMT_Parameters::xmssmt_algorithm_t(Botan::load_be(s.take<4>())); + const auto p = Botan::XMSSMT_Parameters(oid); + auto root = s.copy_as_secure_vector(p.element_size()); + auto public_seed = s.copy_as_secure_vector(p.element_size()); + + return std::make_unique(oid, std::move(root), std::move(public_seed)); + } +}; + +/** + * Tests that the key generation is compatible with the reference implementation + * based on: https://github.com/XMSS/xmss-reference/tree/171ccbd + */ +class XMSSMT_Keygen_Reference_Test final : public Text_Based_Test { + public: + XMSSMT_Keygen_Reference_Test() : + Text_Based_Test("pubkey/xmssmt_keygen.vec", "Params,SecretSeed,PublicSeed,SecretPrf,PublicKey,PrivateKey") { + } + + Test::Result run_one_test(const std::string& /*header*/, const VarMap& vars) final { + Test::Result result(vars.get_req_str("Params")); + + Fixed_Output_RNG fixed_rng; + auto add_entropy = [&](auto v) { fixed_rng.add_entropy(v.data(), v.size()); }; + + // The order of the RNG values is dependent on the order they are pulled + // from the RNG in the production implementation. + add_entropy(vars.get_req_bin("PublicSeed")); // XMSSMT_PublicKey constructor's initializer list + add_entropy( + vars.get_req_bin("SecretPrf")); // XMSSMT_PrivateKey constructor's call to ..._Internal constructor + add_entropy( + vars.get_req_bin("SecretSeed")); // XMSSMT_PrivateKey constructor's call to ..._Internal constructor + + const auto xmssmt_algo = Botan::XMSSMT_Parameters::xmssmt_id_from_string(vars.get_req_str("Params")); + const Botan::XMSSMT_PrivateKey keypair(xmssmt_algo, fixed_rng); + + result.test_bin_eq("Generated private key matches", keypair.raw_private_key(), vars.get_req_bin("PrivateKey")); + result.test_bin_eq( + "Generated public key matches", keypair.raw_public_key_bits(), vars.get_req_bin("PublicKey")); + + return result; + } + + bool skip_this_test(const std::string& /*header*/, const VarMap& vars) override { + const std::string param_str = vars.get_req_str("Params"); + const auto params = Botan::XMSSMT_Parameters(param_str); + const bool hash_available = Botan::HashFunction::create(params.hash_function_name()) != nullptr; + + /* generating keys with layer height of 5 is very fast */ + const bool fast_params = param_str.find("20/4") != std::string::npos || + param_str.find("40/8") != std::string::npos || + param_str.find("60/12") != std::string::npos; + return !(hash_available && (fast_params || Test::run_long_tests())); + } +}; + +std::vector xmssmt_statefulness() { + auto rng = Test::new_rng(__func__); + + auto sign_something = [&rng](auto& sk) { + auto msg = Botan::hex_decode("deadbeef"); + + Botan::PK_Signer signer(sk, *rng, "SHA2_20/4_256"); + signer.sign_message(msg, *rng); + }; + + return {CHECK("signing alters state", + [&](auto& result) { + Botan::XMSSMT_PrivateKey sk(Botan::XMSSMT_Parameters::XMSSMT_SHA2_20_4_256, *rng); + result.test_opt_u64_eq("allows 2^20 signatures", sk.remaining_operations(), 1048576); + + sign_something(sk); + + result.test_opt_u64_eq("allows 2^20-1 signatures", sk.remaining_operations(), 1048575); + }), + + CHECK("state can become exhausted", [&](auto& result) { + const auto skbytes = Botan::hex_decode( + "00000002" + "1ffb7a0511d1f733f52918e21960f1c6c0386e79c65aeaad8e6883382cf56ec7" + "9bcd386b92deae42b7aee30bc28ed5a9acd1cd23d0d2ad761f654b82176f7def" + "0fffff" // 2^20-1 + "69a2ad2eed76ca2dc4969d91dbd6e63bdbe23cc6032575b0a7158eca8b36be0d" + "89781cdf4762d69c796ed711efdc10371405be818ffb69f2c76dc094df4f46a6"); + Botan::XMSSMT_PrivateKey sk(skbytes); + result.test_opt_u64_eq("allow one last signature", sk.remaining_operations(), 1); + + sign_something(sk); + + result.test_opt_u64_eq("allow no more signatures", sk.remaining_operations(), 0); + result.test_throws("no more signing", [&] { sign_something(sk); }); + })}; +} + +BOTAN_REGISTER_TEST("pubkey", "xmssmt_sign", XMSSMT_Signature_Tests); +BOTAN_REGISTER_TEST("pubkey", "xmssmt_verify", XMSSMT_Signature_Verify_Tests); +BOTAN_REGISTER_TEST("pubkey", "xmssmt_verify_invalid", XMSSMT_Signature_Verify_Invalid_Tests); +BOTAN_REGISTER_TEST("pubkey", "xmssmt_keygen", XMSSMT_Keygen_Tests); +BOTAN_REGISTER_TEST("pubkey", "xmssmt_keygen_reference", XMSSMT_Keygen_Reference_Test); +BOTAN_REGISTER_TEST_FN("pubkey", "xmssmt_unit_tests", xmssmt_statefulness); + +#endif + +} // namespace + +} // namespace Botan_Tests From 72767654ebbcdc4613ef473d9658faf653563985 Mon Sep 17 00:00:00 2001 From: Johannes Roth Date: Thu, 26 Feb 2026 14:50:05 +0100 Subject: [PATCH 2/9] remove XMSS^MT 'fallback' encoding and only allow ASN.1 OCTET STRING encoded keys --- src/lib/pubkey/xmss/info.txt | 2 +- .../xmss/{xmss_core.cpp => xmss_core_ops.cpp} | 4 +- .../xmss/{xmss_core.h => xmss_core_ops.h} | 2 +- src/lib/pubkey/xmss/xmss_privatekey.cpp | 2 +- src/lib/pubkey/xmss/xmss_signature.h | 2 +- .../pubkey/xmss/xmss_signature_operation.cpp | 2 +- .../xmss/xmss_verification_operation.cpp | 2 +- src/lib/pubkey/xmssmt/xmssmt_parameters.cpp | 15 +- src/lib/pubkey/xmssmt/xmssmt_parameters.h | 3 +- src/lib/pubkey/xmssmt/xmssmt_privatekey.cpp | 49 +- src/lib/pubkey/xmssmt/xmssmt_publickey.cpp | 31 +- src/lib/pubkey/xmssmt/xmssmt_signature.cpp | 2 +- src/lib/pubkey/xmssmt/xmssmt_signature.h | 4 +- .../xmssmt/xmssmt_signature_operation.cpp | 2 +- .../xmssmt/xmssmt_signature_operation.h | 2 +- .../xmssmt/xmssmt_verification_operation.cpp | 2 +- .../xmssmt/xmssmt_verification_operation.h | 2 +- .../xmss_test_vector_from_reference.py | 56 +- src/tests/data/pubkey/xmssmt_invalid.vec | 12 +- src/tests/data/pubkey/xmssmt_keygen.vec | 422 ++++++------- src/tests/data/pubkey/xmssmt_sig.vec | 546 ++++++++--------- src/tests/data/pubkey/xmssmt_verify.vec | 556 +++++++++--------- src/tests/test_xmssmt.cpp | 13 +- 23 files changed, 853 insertions(+), 880 deletions(-) rename src/lib/pubkey/xmss/{xmss_core.cpp => xmss_core_ops.cpp} (99%) rename src/lib/pubkey/xmss/{xmss_core.h => xmss_core_ops.h} (99%) diff --git a/src/lib/pubkey/xmss/info.txt b/src/lib/pubkey/xmss/info.txt index ec8c75e7a89..93fc435d124 100644 --- a/src/lib/pubkey/xmss/info.txt +++ b/src/lib/pubkey/xmss/info.txt @@ -14,7 +14,7 @@ xmss_wots_parameters.h xmss_address.h -xmss_core.h +xmss_core_ops.h xmss_hash.h xmss_signature.h xmss_signature_operation.h diff --git a/src/lib/pubkey/xmss/xmss_core.cpp b/src/lib/pubkey/xmss/xmss_core_ops.cpp similarity index 99% rename from src/lib/pubkey/xmss/xmss_core.cpp rename to src/lib/pubkey/xmss/xmss_core_ops.cpp index 8d145ee1a7a..50e157c02eb 100644 --- a/src/lib/pubkey/xmss/xmss_core.cpp +++ b/src/lib/pubkey/xmss/xmss_core_ops.cpp @@ -4,12 +4,12 @@ * (C) 2016,2017 Matthias Gierlings * (C) 2019 Jack Lloyd * (C) 2023 René Meusel - Rohde & Schwarz Cybersecurity - * (C) 2026 Johannes Roth + * (C) 2026 Johannes Roth - MTG AG * * Botan is released under the Simplified BSD License (see license.txt) **/ -#include +#include #include #include diff --git a/src/lib/pubkey/xmss/xmss_core.h b/src/lib/pubkey/xmss/xmss_core_ops.h similarity index 99% rename from src/lib/pubkey/xmss/xmss_core.h rename to src/lib/pubkey/xmss/xmss_core_ops.h index 9fc51795c22..d709d3d55c6 100644 --- a/src/lib/pubkey/xmss/xmss_core.h +++ b/src/lib/pubkey/xmss/xmss_core_ops.h @@ -3,7 +3,7 @@ * (C) 2016,2017 Matthias Gierlings * (C) 2019 Jack Lloyd * (C) 2023 René Meusel - Rohde & Schwarz Cybersecurity - * (C) 2026 Johannes Roth + * (C) 2026 Johannes Roth - MTG AG * * Botan is released under the Simplified BSD License (see license.txt) **/ diff --git a/src/lib/pubkey/xmss/xmss_privatekey.cpp b/src/lib/pubkey/xmss/xmss_privatekey.cpp index ea140b7a0fa..956b64a09cf 100644 --- a/src/lib/pubkey/xmss/xmss_privatekey.cpp +++ b/src/lib/pubkey/xmss/xmss_privatekey.cpp @@ -26,7 +26,7 @@ #include #include #include -#include +#include #include #include diff --git a/src/lib/pubkey/xmss/xmss_signature.h b/src/lib/pubkey/xmss/xmss_signature.h index 6550e4fa502..089991470ff 100644 --- a/src/lib/pubkey/xmss/xmss_signature.h +++ b/src/lib/pubkey/xmss/xmss_signature.h @@ -12,7 +12,7 @@ #include #include #include -#include +#include #include namespace Botan { diff --git a/src/lib/pubkey/xmss/xmss_signature_operation.cpp b/src/lib/pubkey/xmss/xmss_signature_operation.cpp index 5a2dfacbe28..4da0763435b 100644 --- a/src/lib/pubkey/xmss/xmss_signature_operation.cpp +++ b/src/lib/pubkey/xmss/xmss_signature_operation.cpp @@ -16,7 +16,7 @@ #include -#include +#include #include namespace Botan { diff --git a/src/lib/pubkey/xmss/xmss_verification_operation.cpp b/src/lib/pubkey/xmss/xmss_verification_operation.cpp index e52b9fdf56a..94116d0c862 100644 --- a/src/lib/pubkey/xmss/xmss_verification_operation.cpp +++ b/src/lib/pubkey/xmss/xmss_verification_operation.cpp @@ -10,7 +10,7 @@ #include -#include +#include #include #include diff --git a/src/lib/pubkey/xmssmt/xmssmt_parameters.cpp b/src/lib/pubkey/xmssmt/xmssmt_parameters.cpp index f83e24fa885..ff6e5367028 100644 --- a/src/lib/pubkey/xmssmt/xmssmt_parameters.cpp +++ b/src/lib/pubkey/xmssmt/xmssmt_parameters.cpp @@ -10,7 +10,7 @@ * Release: October 2020. * https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.800-208.pdf * - * (C) 2026 Johannes Roth + * (C) 2026 Johannes Roth - MTG AG * * Botan is released under the Simplified BSD License (see license.txt) **/ @@ -194,6 +194,19 @@ XMSSMT_Parameters::xmssmt_algorithm_t XMSSMT_Parameters::xmssmt_id_from_string(s throw Lookup_Error(fmt("Unknown XMSS^MT algorithm param '{}'", param_set)); } +XMSSMT_Parameters::xmssmt_algorithm_t XMSSMT_Parameters::parse_oid(std::span bytes) { + if(bytes.size() != 4) { + throw Decoding_Error("can't parse invalid XMSS^MT OID length."); + } + + // extract and convert algorithm id to enum type + uint32_t raw_id = 0; + for(size_t i = 0; i < 4; i++) { + raw_id = ((raw_id << 8) | bytes[i]); + } + return static_cast(raw_id); +} + XMSSMT_Parameters::XMSSMT_Parameters(std::string_view param_set) : XMSSMT_Parameters(XMSSMT_Parameters::xmssmt_id_from_string(param_set)) {} diff --git a/src/lib/pubkey/xmssmt/xmssmt_parameters.h b/src/lib/pubkey/xmssmt/xmssmt_parameters.h index c1d0e7ebf53..140c55e91d5 100644 --- a/src/lib/pubkey/xmssmt/xmssmt_parameters.h +++ b/src/lib/pubkey/xmssmt/xmssmt_parameters.h @@ -1,6 +1,6 @@ /* * XMSS^MT Parameters - * (C) 2026 Johannes Roth + * (C) 2026 Johannes Roth - MTG AG * * Botan is released under the Simplified BSD License (see license.txt) **/ @@ -94,6 +94,7 @@ class BOTAN_PUBLIC_API(3, 12) XMSSMT_Parameters { }; static xmssmt_algorithm_t xmssmt_id_from_string(std::string_view algo_name); + static xmssmt_algorithm_t parse_oid(std::span bytes); explicit XMSSMT_Parameters(std::string_view algo_name); explicit XMSSMT_Parameters(xmssmt_algorithm_t oid); diff --git a/src/lib/pubkey/xmssmt/xmssmt_privatekey.cpp b/src/lib/pubkey/xmssmt/xmssmt_privatekey.cpp index adc1fe74cdc..dbe479572a9 100644 --- a/src/lib/pubkey/xmssmt/xmssmt_privatekey.cpp +++ b/src/lib/pubkey/xmssmt/xmssmt_privatekey.cpp @@ -1,6 +1,6 @@ /* * XMSS^MT Private Key - * (C) 2026 Johannes Roth + * (C) 2026 Johannes Roth - MTG AG * * Botan is released under the Simplified BSD License (see license.txt) **/ @@ -15,7 +15,7 @@ #include #include #include -#include +#include #include #include @@ -26,22 +26,43 @@ namespace Botan { namespace { -// fall back to raw decoding for previous versions, which did not encode an OCTET STRING -secure_vector extract_raw_private_key(std::span key_bits, - const XMSSMT_Parameters& xmssmt_params) { +secure_vector extract_raw_private_key(std::span key_bits) { secure_vector raw_key; + BER_Decoder(key_bits).decode(raw_key, ASN1_Type::OctetString).verify_end(); + return raw_key; +} - // The public part of the input key bits was already parsed, so we can - // decide depending on the buffer length whether this must be BER decoded. - if(key_bits.size() == xmssmt_params.raw_private_key_size()) { - raw_key.assign(key_bits.begin(), key_bits.end()); - } else { - BER_Decoder(key_bits).decode(raw_key, ASN1_Type::OctetString).verify_end(); +XMSSMT_Parameters::xmssmt_algorithm_t oid_from_priv(std::span key_bits) { + const secure_vector raw_key = extract_raw_private_key(key_bits); + if(raw_key.size() < 4) { + throw Decoding_Error("XMSS^MT signature OID missing."); } + return XMSSMT_Parameters::parse_oid({raw_key.data(), 4}); +} - return raw_key; +secure_vector root_from_priv(std::span key_bits) { + const XMSSMT_Parameters params = XMSSMT_Parameters(oid_from_priv(key_bits)); + const secure_vector raw_key = extract_raw_private_key(key_bits); + if(raw_key.size() < params.raw_public_key_size()) { + throw Decoding_Error("XMSS^MT private key too short"); + } + + BufferSlicer s(raw_key); + s.skip(4); // oid + return s.copy_as_secure_vector(params.element_size()); } +secure_vector public_seed_from_priv(std::span key_bits) { + const XMSSMT_Parameters params = XMSSMT_Parameters(oid_from_priv(key_bits)); + const secure_vector raw_key = extract_raw_private_key(key_bits); + if(raw_key.size() < params.raw_public_key_size()) { + throw Decoding_Error("XMSS^MT private key too short"); + } + BufferSlicer s(raw_key); + s.skip(4); // oid + s.skip(params.element_size()); // root + return s.copy_as_secure_vector(params.element_size()); +} } // namespace class XMSSMT_PrivateKey_Internal { @@ -74,7 +95,7 @@ class XMSSMT_PrivateKey_Internal { m_wots_params(wots_params), m_hash(m_xmssmt_params.hash_function_name(), m_xmssmt_params.hash_id_size()), m_keyid(/* initialized later*/) { - const secure_vector raw_key = extract_raw_private_key(key_bits, xmssmt_params); + const secure_vector raw_key = extract_raw_private_key(key_bits); if(raw_key.size() != m_xmssmt_params.raw_private_key_size()) { throw Decoding_Error("Invalid XMSS^MT private key size"); @@ -158,7 +179,7 @@ class XMSSMT_PrivateKey_Internal { }; XMSSMT_PrivateKey::XMSSMT_PrivateKey(std::span key_bits) : - XMSSMT_PublicKey(key_bits), + XMSSMT_PublicKey(oid_from_priv(key_bits), root_from_priv(key_bits), public_seed_from_priv(key_bits)), m_private(std::make_shared(m_xmssmt_params, m_wots_params, key_bits)) {} XMSSMT_PrivateKey::XMSSMT_PrivateKey(XMSSMT_Parameters::xmssmt_algorithm_t xmssmt_algo_id, RandomNumberGenerator& rng) : diff --git a/src/lib/pubkey/xmssmt/xmssmt_publickey.cpp b/src/lib/pubkey/xmssmt/xmssmt_publickey.cpp index fb74e69c263..d291a1c9087 100644 --- a/src/lib/pubkey/xmssmt/xmssmt_publickey.cpp +++ b/src/lib/pubkey/xmssmt/xmssmt_publickey.cpp @@ -1,6 +1,6 @@ /* * XMSS^MT Public Key - * (C) 2026 Johannes Roth + * (C) 2026 Johannes Roth - MTG AG * * Botan is released under the Simplified BSD License (see license.txt) **/ @@ -25,37 +25,12 @@ XMSSMT_Parameters::xmssmt_algorithm_t deserialize_xmssmt_oid(std::span(raw_id); + return XMSSMT_Parameters::parse_oid(raw_key.first(4)); } -// fall back to raw decoding -// TODO: in contrast to XMSS there are no old versions to support, however, the test vectors are decoded as raw keys (no octet string) -// encode test vector public keys accordingly and remove the fallback here (?) std::vector extract_raw_xmssmt_public_key(std::span key_bits) { std::vector raw_key; - try { - BER_Decoder(key_bits).decode(raw_key, ASN1_Type::OctetString).verify_end(); - - // Smoke check the decoded key. Valid raw keys might be decodable as BER - // and they might be either a sole public key or a concatenation of public - // and private key (with the optional WOTS+ derivation identifier). - const XMSSMT_Parameters params(deserialize_xmssmt_oid(raw_key)); - if(raw_key.size() != params.raw_public_key_size() && raw_key.size() != params.raw_private_key_size()) { - throw Decoding_Error("unpacked XMSS^MT key does not have the correct length"); - } - } catch(Decoding_Error&) { - raw_key.assign(key_bits.begin(), key_bits.end()); - } catch(Not_Implemented&) { - raw_key.assign(key_bits.begin(), key_bits.end()); - } - + BER_Decoder(key_bits).decode(raw_key, ASN1_Type::OctetString).verify_end(); return raw_key; } } // namespace diff --git a/src/lib/pubkey/xmssmt/xmssmt_signature.cpp b/src/lib/pubkey/xmssmt/xmssmt_signature.cpp index 2a6f27425f1..8056e3aa1a0 100644 --- a/src/lib/pubkey/xmssmt/xmssmt_signature.cpp +++ b/src/lib/pubkey/xmssmt/xmssmt_signature.cpp @@ -1,6 +1,6 @@ /* * XMSS^MT Signature - * (C) 2026 Johannes Roth + * (C) 2026 Johannes Roth - MTG AG * * Botan is released under the Simplified BSD License (see license.txt) **/ diff --git a/src/lib/pubkey/xmssmt/xmssmt_signature.h b/src/lib/pubkey/xmssmt/xmssmt_signature.h index f793d69fd8c..b6a982bf3c4 100644 --- a/src/lib/pubkey/xmssmt/xmssmt_signature.h +++ b/src/lib/pubkey/xmssmt/xmssmt_signature.h @@ -1,6 +1,6 @@ /* * XMSS^MT Signature - * (C) 2026 Johannes Roth + * (C) 2026 Johannes Roth - MTG AG * * Botan is released under the Simplified BSD License (see license.txt) **/ @@ -12,7 +12,7 @@ #include #include #include -#include +#include #include #include diff --git a/src/lib/pubkey/xmssmt/xmssmt_signature_operation.cpp b/src/lib/pubkey/xmssmt/xmssmt_signature_operation.cpp index a0841834cdb..7fefcf20bd8 100644 --- a/src/lib/pubkey/xmssmt/xmssmt_signature_operation.cpp +++ b/src/lib/pubkey/xmssmt/xmssmt_signature_operation.cpp @@ -8,7 +8,7 @@ * Release: May 2018. * https://datatracker.ietf.org/doc/rfc8391/ * - * (C) 2026 Johannes Roth + * (C) 2026 Johannes Roth - MTG AG * * Botan is released under the Simplified BSD License (see license.txt) **/ diff --git a/src/lib/pubkey/xmssmt/xmssmt_signature_operation.h b/src/lib/pubkey/xmssmt/xmssmt_signature_operation.h index 2695a01c116..2b7ebcfecb5 100644 --- a/src/lib/pubkey/xmssmt/xmssmt_signature_operation.h +++ b/src/lib/pubkey/xmssmt/xmssmt_signature_operation.h @@ -1,6 +1,6 @@ /* * XMSS^MT Signature Operation - * (C) 2026 Johannes Roth + * (C) 2026 Johannes Roth - MTG AG * * Botan is released under the Simplified BSD License (see license.txt) **/ diff --git a/src/lib/pubkey/xmssmt/xmssmt_verification_operation.cpp b/src/lib/pubkey/xmssmt/xmssmt_verification_operation.cpp index 8e313ab7867..08c98aec63d 100644 --- a/src/lib/pubkey/xmssmt/xmssmt_verification_operation.cpp +++ b/src/lib/pubkey/xmssmt/xmssmt_verification_operation.cpp @@ -3,7 +3,7 @@ * Provides signature verification capabilities for Extended Hash-Based * Signatures (XMSS^MT). * - * (C) 2026 Johannes Roth + * (C) 2026 Johannes Roth - MTG AG * * Botan is released under the Simplified BSD License (see license.txt) **/ diff --git a/src/lib/pubkey/xmssmt/xmssmt_verification_operation.h b/src/lib/pubkey/xmssmt/xmssmt_verification_operation.h index da7927cf974..ddf8ff2e3d9 100644 --- a/src/lib/pubkey/xmssmt/xmssmt_verification_operation.h +++ b/src/lib/pubkey/xmssmt/xmssmt_verification_operation.h @@ -1,6 +1,6 @@ /* * XMSS^MT Verification Operation - * (C) 2026 Johannes Roth + * (C) 2026 Johannes Roth - MTG AG * * Botan is released under the Simplified BSD License (see license.txt) **/ diff --git a/src/scripts/dev_tools/xmss_test_vector_from_reference.py b/src/scripts/dev_tools/xmss_test_vector_from_reference.py index e87139bec35..ec219799529 100755 --- a/src/scripts/dev_tools/xmss_test_vector_from_reference.py +++ b/src/scripts/dev_tools/xmss_test_vector_from_reference.py @@ -8,6 +8,7 @@ https://github.com/XMSS/xmss-reference (C) 2023 René Meusel (Rohde & Schwarz Cybersecurity) +(C) 2026 Johannes Roth - MTG AG Botan is released under the Simplified BSD License (see license.txt) """ @@ -16,6 +17,8 @@ import tempfile import sys import binascii +from pyasn1.type import univ +from pyasn1.codec.der.encoder import encode as asn1encode async def run(cmd, args): @@ -68,15 +71,24 @@ def idx_len_by_param_name(param): def is_xmss(param): return not param.startswith("XMSSMT") +def encode_hex_octet_string(data): + octet_str = univ.OctetString(data) + encoded = asn1encode(octet_str) + return encoded.hex() -# XMSS: + +# XMSS Reference Code: # * Format sk: [(32bit) index || SK_SEED || SK_PRF || root || PUB_SEED] # * Format pk: [root || PUB_SEED], omitting algorithm OID. -# XMSS^MT: +# XMSS^MT Reference Code: # * Format sk: [(ceil(h/8) bit) idx || SK_SEED || SK_PRF || root || PUB_SEED] # * Format pk: [root || PUB_SEED] omitting algo oid. # -# Keypair output format (both): [oid || pk || oid || sk] +# Reference Code Keypair output format: [oid || pk || oid || sk] +# +# Desired Format for Botan: +# PK: OCTET STRING [oid || root || PUB_SEED] +# SK: OCTET STRING [oid || root || PUB_SEED || index || SK_PRF || SK_SEED (|| WOTS_derivation_method)] class Keypair: @staticmethod async def generate(xmss_param): @@ -133,12 +145,15 @@ async def join(strings): return "\n".join(await asyncio.gather(*strings)) -async def make_xmss_sig_vec_entry(xmss_param): +async def make_xmss_sig_vec_entry(xmss_param, key_encoding): async def entry(msg): kp = await Keypair.generate(xmss_param) out = "Params = {}\n".format(kp.params_name) out += "Msg = {}\n".format(tohex(msg)) - out += "PrivateKey = {}\n".format(tohex(kp.secret_key)) + if key_encoding == 'raw': + out += "PrivateKey = {}\n".format(tohex(kp.secret_key)) + else: + out += "PrivateKey = {}\n".format(encode_hex_octet_string(kp.secret_key)) sig = await kp.sign(msg) out += "Signature = {}\n".format(tohex(sig)) return out @@ -146,12 +161,15 @@ async def entry(msg): return await join([entry(msg) for msg in TEST_MESSAGES]) -async def make_xmss_verify_vec_entry(xmss_param): +async def make_xmss_verify_vec_entry(xmss_param, key_encoding): async def entry(msg): kp = await Keypair.generate(xmss_param) out = "Params = {}\n".format(kp.params_name) out += "Msg = {}\n".format(tohex(msg)) - out += "PublicKey = {}\n".format(tohex(kp.public_key)) + if key_encoding == 'raw': + out += "PublicKey = {}\n".format(tohex(kp.public_key)) + else: + out += "PublicKey = {}\n".format(encode_hex_octet_string(kp.public_key)) sig = await kp.sign(msg) out += "Signature = {}\n".format(tohex(sig)) return out @@ -159,22 +177,32 @@ async def entry(msg): return await join([entry(msg) for msg in TEST_MESSAGES]) -async def make_xmss_keygen_vec_entry(xmss_param): +async def make_xmss_keygen_vec_entry(xmss_param, key_encoding): kp = await Keypair.generate(xmss_param) out = "Params = {}\n".format(xmss_param) out += "SecretSeed = {}\n".format(tohex(kp.secret_seed)) out += "PublicSeed = {}\n".format(tohex(kp.public_seed)) out += "SecretPrf = {}\n".format(tohex(kp.secret_prf)) - out += "PublicKey = {}\n".format(tohex(kp.public_key)) - out += "PrivateKey = {}\n".format(tohex(kp.secret_key)) + if key_encoding == 'raw': + out += "PublicKey = {}\n".format(tohex(kp.public_key)) + out += "PrivateKey = {}\n".format(tohex(kp.secret_key)) + else: + out += "PublicKey = {}\n".format(encode_hex_octet_string(kp.public_key)) + out += "PrivateKey = {}\n".format(encode_hex_octet_string(kp.secret_key)) return out +def print_usage(): + print("Usage: {} ".format(sys.argv[0])) -if len(sys.argv) < 3: - print("Usage: {} ".format( - sys.argv[0])) +if len(sys.argv) < 4: + print_usage() sys.exit(1) +if not sys.argv[2] in ['octet_string', 'raw']: + print_usage() + sys.exit(1) + + funs = { "sig": make_xmss_sig_vec_entry, "verify": make_xmss_verify_vec_entry, @@ -188,6 +216,6 @@ async def make_xmss_keygen_vec_entry(xmss_param): async def main(): - print(await join([funs[tv](p) for p in sys.argv[2:]])) + print(await join([funs[tv](p, sys.argv[2]) for p in sys.argv[3:]])) asyncio.run(main()) diff --git a/src/tests/data/pubkey/xmssmt_invalid.vec b/src/tests/data/pubkey/xmssmt_invalid.vec index 244bd0918a8..2a5ecdcd59c 100644 --- a/src/tests/data/pubkey/xmssmt_invalid.vec +++ b/src/tests/data/pubkey/xmssmt_invalid.vec @@ -1,35 +1,35 @@ # Original message for the following generic mutations #Params = SHA2_20/2_256 #Msg = -#PublicKey = 0000000142b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 +#PublicKey = 04440000000142b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 #InvalidSignature = 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# invalid msg Params = SHA2_20/2_256 Msg = 1234 -PublicKey = 0000000142b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 +PublicKey = 04440000000142b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 InvalidSignature = 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# wrong oid Params = SHA2_20/2_256 Msg = -PublicKey = 0000000242b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 +PublicKey = 04440000000242b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 InvalidSignature = 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 # invalid sig leaf index Params = SHA2_20/2_256 Msg = -PublicKey = 0000000142b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 +PublicKey = 04440000000142b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 InvalidSignature = 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# corrupted sig data Params = SHA2_20/2_256 Msg = -PublicKey = 0000000142b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 +PublicKey = 04440000000142b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 InvalidSignature = 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# add 1 byte to the sig data Params = SHA2_20/2_256 Msg = -PublicKey = 0000000142b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 +PublicKey = 04440000000142b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 InvalidSignature = 000000392f62185f31e06cce1cace363c11fd357c235b8c78db68f290843f25a19f1d8f15159380a936305d973d78e8e996ecbf1826f0f0854f6d65ee2a9923481253c4a7ec4ea939b45bcee74af91a43fb6289b5014c9ccde3d31bed35de585871226c681dd4017b4fd6d05a5481c0be00b734fc6211b5d02aa0382cb1f799129ecf6e0dea00291855be78e98fae5397b690737f031de4e694868e41f79660dff2ef7e4497c4dba2549906ca3e432fb2f7de6ca5895c6957da4e3bd971e399b5de126515ad4263261e8e7c1caf3188e375bafd2877e11d3761d44be16db6d27adae9840bad7c1b2be278e46fb0022bf8124520e29096709902b2ba3e7caccc488b5a59705b8ef63e2cd000e151eb47944d158516665f38117e5d713bb0c46fd3ab3a5661658b4c9a526b31ce946824ec5f306891aeb2cd9178cb7108bf9a006107379c9325f893c278a7ff0956da525bbde8de39406ed3da286655282687e700d252fc08ce920156eefe7385fef26c2802d2f418dd24494bf3e5def5fffc036a11f4d6f207be1d1e88bcdcc6bdeb900237fdfa53bb2522513efaf09bf7e37058664b8e2bb352ee5f8797c72ddc16a414029b120a170f6557f4079802644f40c77ffb8ebcf5b5dbbea8b62e1603fdf953b24b67275119a67190b25ea3332d939bc1063b7be023e64f3851ee908a9521f94f0bcc2cf9e85184cec29b3d2073dcf5c0a4890020e351b12c4ad99e561e562f6d7f67f9cfe793a1dade8711df2334be0fe0d409d4a02bb2d57de88c0d2978d30ed7c72782f192d09350910229f1e62fe8b180a574dbfb0f178f255a0ad50fb654ed9b3b11df79826dc5bb34e03684a2c9323cf5c217595efb9f5bafd0f90f5561f4a136441257b9173771f15126468e931f4a0c2486f36acb0b44d35675192aecb7f442246aec6773397c4aae0701a31ca34b4df64b4fde5ecc61afecf8a9e015a0963f18cfaa2ca93b79db1cd8b74a6ef27da6a734d55ac57ed9806b4806f45199a18c19a79dd36352b27ec4839b10b3c8d1b60db52297c7084d0cf181694ebd9533e8f5cf9f58fb176ba976b67ee8d61222fadb55851a203d08a65d5b87bd580fdd95cda4066bd5f0d31e80b1f400348e3475c9b08b97ece8747d932314861b40ccfefb0cb1d6bfcb230e5097202f7ba77b4e3372712d2408a1f9e5f4136f67adb8176e2a8b72c4cd4a34cfe7870bc0b650343d9a597aea3a297682097d425c54f2c538cb66fc9213e723003732e2253220ad928e8a9ec46fb1d195a4208e54b9c11cbb693c9c171d3dee377da2e38f42c0d6134dc05b36913bdad930cf061a11b8b228a3515c3e575646407f86ba1fc39133d58e4d6605e903008e9c2f2e34f9aceabec7f671465a8de6265d16a57a4d0877d5aa50968d5b78776fac91b8337e4c86e2356f69e2f0ec528a6b34d9078424d68242dbedbb4bc8497f88f43825c57636628941906cf853d71488aff0b2340389992e456bd771dacc1cf88e3361e992b717673f3a7905cc7b71485485a21a66464e2b6fb299c5d14eaf421ef9c9f82e1ce095631e7afccf84902ab81a5cebb0e26bd77edacedd758cef59fe44c882a6f1231f3d115f9c184569f60987175892ce1a7c635e20b9338fb7cd132d5f5d14f02c5c14c6ac15587c503dc840a2a1e383212c8aece62c47b1f9d68531d1cfcb97fa31d049827b49d2e2d06778d98696847fb342a5d26d67f5b3731b3398f40707309e88aa3b227258147b8c4a493b56823dbb8eae25da169b41a54d751abe2b0dc82002811e26bdf6c06d5ed42a042c350c7a545b9fa23eff2967863429a62c4c688b8ce6bbcc574a8c78737e2ddbbdd11f4092ce72d5e0994ec78c62541521d8e2463db551ce424843d6821c1288b0c8f445409bb10c9b7411511864f83da0befd419eaed7dfa8feb4ef3c7a3fa8cd05e2d93688a78408d723e584ee484c208be937e9b644ffc3b59f218ff0aa7917cddb1e9a3868dfa4065f9fc1eaa4e028bdfbb389ee65c252f3463d3c9ff19d090fab229a05d6472d90f412d0e96af14df7fdc2410dcc5448e9089d5a6d4aba1c054eaaad76cb32e3411f9dc21392b8eb8e41c59214deddf34f654a46c35344fd0c0ebf16c4476a85301f448e48312818cd6c9bfd8a419bc1273ac37481f500414fb77be0b86be75ca30dc9ed5847edcafb56eae8ba7edf3d18baa43a7cfef8a859766eadd362fbc752d92ea32a88249bf45c34f15f01fe5887d8914872e110452575a6ee4c52dee75b61f7d053af5f3b49e3a3fbb2bdf946f265a8bb7cb0670e5507f35199df91fe83b3fbecb2812780996c1ea5b05d72b84622f10662e1c2cd649d69600043a99c9095c246d256ec6b6dfe476f3c48ad40cd4903db9ce2d5aef7d7d11da199af95d4184b1742f5505f2bfd7a54524ed30d68cbd616b0835793e3adc2aab328e59512ac40c92e1b6c316ac87d10f3920f0bb6e588ea6a174f7d8abf5984cd3f740344619e079dc4e21dd9901d554b8b12d9f7f66bbd4241b98d79d42bcab9a246164c25cb6e3e85904eba33cf80bece2b5b8ea078aed337db369ee3102d00fdc205dcfc3dbd0609706952b7acf6f96d326e6c6cefe7222fc349beb5f5460b8b9ce2e6ce9aefe64bed2732ac8867309dccd5e40a0c000395160e6d734b2322b71ed92182fd34db6a62618c77c9889c98bb1278ccdb568ac618dd26f676685ff1a72574f56bc71dd13b1cd0d3956ea02b833869e7c87f2f05b60adb1fe0f4f6b23d2e2525de37e416a877a3b689863fd8cdc3a3f90137cbba7468c5ea62b779ab9b8588fea57b16e5910e3efc87c66a9006509598d41ca0088054fb43c7370bfad5b8ff54cf5419dca68dda19781b6f0be0f12b5f60d721cd69999c850b245872c5053dc6b86c3effd1bb0456d973c9be530fabf0897a9d901633e1033363536cc7d71627dbab5986499f33ccf4e462018b8b969eea3bdd2b1af5c16b49d85ba927947e465f0545445289e5e1fdf9290a6f07c6f5df11c3fcc84efc643463815251ed5aadf149f635a25b1474eeaf9c25eec35ef6d5cbe0223266cc8dc2a93a568114620c3eb6c465419500e11d2e5ab3d00f83f2a5e3c0ae0bb3cd593dd43ffb0ce013eef072e59bee636e801537a87aa52fdf251f695ceb4e98e040022f66c47b92835753d744d1c533358a0bea603ca3aadabab6a0fb37aba03bc5f9a59aa6115245660ea2391d4afb1455f1d27760673f93bc97ddb94f9852cc8d659e4b5c60aee483f824464a658d1af8122e5ae0a0e4431fc4cd949c29ba8205ecc003562f4309e96b2602479f9478754fa038f348bdcd60608d358683b0d701bbf3998653a7a352818ef668f27c327f7aa1cbec9a230baa9bdbe0b015c93d78e358f04c79c00de4638b9a782cc4e3f07389c4618fb2e76aa25b160d2e0a7d72ae1a714bd149ed6d7b284b1cf3e9d319cd5e576817dee11b8fae5ccce9606ea5c7198b282c2ff47776afc801efedddd587e34b9b4a94fdc422405cb5ea2e3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diff --git a/src/tests/data/pubkey/xmssmt_keygen.vec b/src/tests/data/pubkey/xmssmt_keygen.vec index 858e3e6737c..4057af16218 100644 --- a/src/tests/data/pubkey/xmssmt_keygen.vec +++ b/src/tests/data/pubkey/xmssmt_keygen.vec @@ -6,297 +6,299 @@ # a tree height of '10' or '5' only, i.e., where `total height / number of layers <= 10`. # Use the above mentioned script to # generate test data for other parameter sets as necessary. +# +# Note that here the PublicKey and PrivateKey values are the "raw" values and are not ASN.1 encoded as OCTET STRING Params = XMSSMT-SHA2_20/2_192 -SecretSeed = c0f1e541f2d03727568087b9d86b8cf19e7c0e26bacea553 -PublicSeed = d659710f64f1c61c7a29fdca59ede335f7dee5c8f8cc5da4 -SecretPrf = b2552733f1cf1d120820c5f1fe3b5aa75d98f628e5fc2c5e -PublicKey = 000000215bb14cbd5eead320c12640fe91d5457c44cb31fb9df1d021d659710f64f1c61c7a29fdca59ede335f7dee5c8f8cc5da4 -PrivateKey = 000000215bb14cbd5eead320c12640fe91d5457c44cb31fb9df1d021d659710f64f1c61c7a29fdca59ede335f7dee5c8f8cc5da4000000b2552733f1cf1d120820c5f1fe3b5aa75d98f628e5fc2c5ec0f1e541f2d03727568087b9d86b8cf19e7c0e26bacea553 +SecretSeed = 150b8585ae0822e56608435748ebdd8cae4192dc61178cad +PublicSeed = 1b6f28655d0f4439cb785f6ed29440c357761593f26c3460 +SecretPrf = e5de06b89a78c76e3feee7ad6061a9cbc474b4406af4aaaf +PublicKey = 000000216b819cbc5ddcb9777bc6d1f326a2b0ef8eb188859bf775201b6f28655d0f4439cb785f6ed29440c357761593f26c3460 +PrivateKey = 000000216b819cbc5ddcb9777bc6d1f326a2b0ef8eb188859bf775201b6f28655d0f4439cb785f6ed29440c357761593f26c3460000000e5de06b89a78c76e3feee7ad6061a9cbc474b4406af4aaaf150b8585ae0822e56608435748ebdd8cae4192dc61178cad Params = XMSSMT-SHA2_20/2_256 -SecretSeed = fb06b81600543d5195835c10a3c160e9568e940c894488588b1cba16186e299c -PublicSeed = 15c1ecdccce70f3820adeda79e804b8877013e38e554278c0943ffbac1095093 -SecretPrf = b67cb582a540e795613359605945aaa37486ef58f864196a73076b8bb7a57849 -PublicKey = 00000001cbb0d8f9aef701539b7d583350509bd36c1eb810d18f22c5cfc439c1c4b468aa15c1ecdccce70f3820adeda79e804b8877013e38e554278c0943ffbac1095093 -PrivateKey = 00000001cbb0d8f9aef701539b7d583350509bd36c1eb810d18f22c5cfc439c1c4b468aa15c1ecdccce70f3820adeda79e804b8877013e38e554278c0943ffbac1095093000000b67cb582a540e795613359605945aaa37486ef58f864196a73076b8bb7a57849fb06b81600543d5195835c10a3c160e9568e940c894488588b1cba16186e299c +SecretSeed = 8ef286cebff33542f3ec060c1387b0765255b76b733771c6b4a88975ea1b6a6d +PublicSeed = d3c589c3b0d279d6e1d07132a1fa8c7f489477f0c6b5c0ead954c7f6fa258fc6 +SecretPrf = d3a707fb49a4136ba1ff85329680669e7e65c6cd79ea5aff4b05e9e3dc098b89 +PublicKey = 00000001c3e329717256aed68763704a39191ee980aee0a4a8d5c08d0de2015bffc68ea5d3c589c3b0d279d6e1d07132a1fa8c7f489477f0c6b5c0ead954c7f6fa258fc6 +PrivateKey = 00000001c3e329717256aed68763704a39191ee980aee0a4a8d5c08d0de2015bffc68ea5d3c589c3b0d279d6e1d07132a1fa8c7f489477f0c6b5c0ead954c7f6fa258fc6000000d3a707fb49a4136ba1ff85329680669e7e65c6cd79ea5aff4b05e9e3dc098b898ef286cebff33542f3ec060c1387b0765255b76b733771c6b4a88975ea1b6a6d Params = XMSSMT-SHA2_20/2_512 -SecretSeed = 1fce0e24ba0963d24e669d92da390e08222460b01d8d814be7cd1e44fe0cf56f72cfda2d1b924ab8003d04b20a1ed514bb0f26c7c49afa5b8fd59b291b163cad -PublicSeed = 21c563be7fd7d90e22dc571023e178d73ec9c1aab1667b2dc6e8a805c81c0d336fc785414b5b126ab0d8c5e4a640812f99d0cebccfb60d49294bb29fbe40f31b -SecretPrf = cf01d9b331e424b393f4589653c2224075b35f48f8e42b78ab02fab59d9ee3e5e706ed72c1fe53de7d9a05c94c779f9336f0d8b602447187c6a1153a9f552fc0 -PublicKey = 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0000001768450bb291d06eaf5f97caf1aab862b162e2e11c26140a62dcdf99614da67700585f0c935736b05eb8692c90095f023ac2a3d1156de7cec1278e9cd804e254f000000000000000001dfad7ea2af131e5284137a3c53bb4ab652e4ae7b1575839cf572819fd9dcd697ae37090157d408b96f11d3f7956a449e8a6805f0de069936ac6e5cf43af33af +SecretSeed = 1e8734210030508c6b55497acdad7b2a14be124189dee4a21cf0c30e2e593304 +PublicSeed = 0606e05e573e1d976c369a81ccfdbd549d57f1f7f022bfe8c9fffe3a5c2b587f +SecretPrf = 0b0e92b460c0c98b69a261ddf31f4b421ffbb1982da011c189712ecdf1328b9c +PublicKey = 00000017a604559ee77ae4e67b07e39a7dbe2aebed64548236ad6cdb188836baa8cc58590606e05e573e1d976c369a81ccfdbd549d57f1f7f022bfe8c9fffe3a5c2b587f +PrivateKey = 00000017a604559ee77ae4e67b07e39a7dbe2aebed64548236ad6cdb188836baa8cc58590606e05e573e1d976c369a81ccfdbd549d57f1f7f022bfe8c9fffe3a5c2b587f00000000000000000b0e92b460c0c98b69a261ddf31f4b421ffbb1982da011c189712ecdf1328b9c1e8734210030508c6b55497acdad7b2a14be124189dee4a21cf0c30e2e593304 Params = XMSSMT-SHAKE_60/6_512 -SecretSeed = fa20108805b01441124ed7c473367a5540045e0f9362b0f129c38d22db6543b04e8b73d96ddebeb136f8fd99960f223c92795942e2439177b779b9c49a77e9a3 -PublicSeed = 681cd078f0250b83fe9b7d8ae98f20f6fe886035c4a91fd6dfe8f35575d1ce98c0ab876ebe3ce080d9aae7e94e87cca1677a302e6438540bfd86974c0dc07068 -SecretPrf = d795fff6ae046becc8784c5a6da7b588aecfaa5cc0be8c998d84fe1bf48772b8ac87cbb742232fe15891bb6f284b467c7dfeca59d70a0ac221215e546d63fd88 -PublicKey = 0000001fe8ebaa1dc21ef34c0679d3a47493790f573232b99e733230737e3273fbb6aed63b05cccd3baa8680be10e7b96e064bec28526f3e91a702de75de10bc0b45e8f0681cd078f0250b83fe9b7d8ae98f20f6fe886035c4a91fd6dfe8f35575d1ce98c0ab876ebe3ce080d9aae7e94e87cca1677a302e6438540bfd86974c0dc07068 -PrivateKey = 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 +SecretSeed = be1610f750966ed022e6bbcc13e7d467b68181ae82a9dc606bf6867a06df4101469fb63062c79fd18c7965485fef76fb4af28bc0687a7cf7e11b17a9aecbecd0 +PublicSeed = 0d501ce1ff3e951f7cd4b07652515855f9f315bb2a60b731e469d8c6129bdc8c74b89f7f054425f217efec4fa0a59c83bd9f83e7be9e7e944aa0d509abe7e8db +SecretPrf = 7f0a777a1f51023bfd7928f66a8a745eaad0e747ff25f739ed72b60f2ffc7bee1d5441b8bda75f64811e5d79d597563d82699394002d090eccacac2e5d58d7e8 +PublicKey = 0000001fb01d9496d126f3384f4b9cb6d1bb28c1b022e00c69a63fa31b601754ec0f39447faaf26d4401b578ec681c0eb562ddaf95169fe8dbb849e475d6e9e9f79ba9bd0d501ce1ff3e951f7cd4b07652515855f9f315bb2a60b731e469d8c6129bdc8c74b89f7f054425f217efec4fa0a59c83bd9f83e7be9e7e944aa0d509abe7e8db +PrivateKey = 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 diff --git a/src/tests/data/pubkey/xmssmt_sig.vec b/src/tests/data/pubkey/xmssmt_sig.vec index 3b09f4925bc..61f524f336c 100644 --- a/src/tests/data/pubkey/xmssmt_sig.vec +++ b/src/tests/data/pubkey/xmssmt_sig.vec @@ -6,673 +6,635 @@ # a tree height of '10' or '5' only, i.e., where `total height / number of layers <= 10`. # Use the above mentioned script to # generate test data for other parameter sets as necessary. +# +# Note that here the PrivateKey values are ASN.1 encoded as OCTET STRING Params = SHA2_20/2_192 Msg = -PrivateKey = 000000219db9d257f8753116109019366c2691190fb1d1808e2ab521b35e0f6213b2c1b103874035c26149ba65550b6dd6b751870000003309bfe8b391e2f9d28e15266907ea1423eacea0085fc43b62cb8eb391e3978be9694f1b0fd4e3962d8f1bac1150bbd4 -Signature = 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+PrivateKey = 046700000021e86140f5d76ad8a8807eb2f29a929baf30aaad41888f646b9fe97c04eeace751ae73b4bc198ceb4e63ac5d248348aa3f000000abbd80c258f2cbcacaf9f323315e1df2fb444bcc847de0139e6b7f17b33baeafffd098bd363c0d14df744fee64c2fe55 +Signature = 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Params = SHA2_20/2_192 Msg = 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Params = SHA2_20/2_256 Msg = -PrivateKey = 0000000112bfae00ec70278d0950647a8257a6f30b97ee948fb024fa57ecc00171d2ea9207c81f593a163481837ebba3c81bc9584b84e4cd61cccdc0205dff524720d7080000003d2ce236d31a76890489228cf430f6ee7d47f5c8dcbf38c30877dcf7c6d5ecf78ffd72a8ed7bef7975cf088874ded5fca191ac3903bafcf2e0f2390b44f25f07 -Signature = 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Params = SHA2_20/2_256 Msg = 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Params = SHA2_20/2_512 Msg = -PrivateKey = 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 -Signature = 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Params = SHA2_20/2_512 Msg = 01020304 -PrivateKey = 000000099779da8c355e086f88253ffb359bf51083d6becbe8507121f412958e8c3ebdecb0e60c361b20208911116934b3e7c991b49ab1b2d68dc0a1336b6192b6eb4a6564ca128a884094087f4f0be941e3c5cf3a13ea6ce1dd6ccdde374454b60eec206e20ba94c2dfdad1f7adf87101be371cc6b521f8f8889fdb479c1709ae5b19a400000027647d17afab477bc17fa6fdfeffd727a597ac79b27418976143e9b9d66dc91c658c468de2323031891bae34b0af4461913d865c3b90855ca50d8f265416008be719dbe4235e9a694bebb94e93458dc1eceabd88116a2342499ecd7e6b3e887fbd516431dfb4349320e8fc00fbdae8375e44ad6d1eb747f9af4b3a3a3abd86d5 -Signature = 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Params = SHA2_20/2_512 Msg = 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 -PrivateKey = 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 -Signature = 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Params = SHA2_20/4_192 Msg = -PrivateKey = 000000228e7af731297886a130cdd0be47f7fe6ed761829e6802f59b6e6824ed861b6f7125d1414bb229f0df7ee521c509bc218f0000006e2eb7ea2f83d3fa096b18fdc3a58ff275bae461745ecf109bb738a698634ef1101f64f57040e26f0178fb98b1e6a15c -Signature = 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Params = SHA2_20/4_192 Msg = 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-PrivateKey = 000000220a8442790a00873561226059db064f44677bf96f9ed656998ab846a4579cb57ac8337191b0076d7b83498eba86d127aa000000066c8ca675c18b943c1eb664b29cac6b9273f9bcb5fd4e1d0287a17ed6b09a1e79d97ed384df2c8744da78bd77f8d141 -Signature = 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Params = SHA2_20/4_256 Msg = -PrivateKey = 00000002f8920c35f5c3dc42d3e338b2927d39c779d5a15ca4b88df7d2f6383646785b310accad98649865dea5ebd43f7a24e7d7553f1797b5d614546f53ace4f19f6c6a000000df79b138ccbc391b023f4f0e2053e0f896aaeffa7ad6900781d3c23d0fd87370fcaf712593875c76a862cc7ddf09c04dd65b9e900fd0b1e2e6234f54a0b79d7e -Signature = 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Params = SHA2_20/4_256 Msg = 01020304 -PrivateKey = 00000002500e384868195561b97e5c40a2bb5dd67015f63b0083d78a6c3f884f5e14dfc15dca3e92dc181d579793b2d0d7170e1df83472ac85b7a81226cbae47cd187c4f000000d7a3157bdeebafb9a9515987b6e748c87224d9a7e7ca0c60ce7193ff0ada50a2a6a24a995d0a88d10177edfc0fd03ed18385cf3ca75173be77b2eb0d6b94c964 -Signature = 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Params = SHA2_20/4_256 Msg = 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Params = SHA2_20/4_512 Msg = -PrivateKey = 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 -Signature = 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Params = SHA2_20/4_512 Msg = 01020304 -PrivateKey = 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 -Signature = 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Params = SHA2_20/4_512 Msg = 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Params = SHA2_40/4_192 Msg = -PrivateKey = 00000024896642ee11543e733cc3109df086c40d5064a6558dc813c6e32abf300fb8cb1bbf9acc65cdb9dc6452ba764dd4396fb700000000000e5900352ea17f383b6178dd49c5a8f39ac63465339ff71abdb2f2d396543e3fa283e4403cb63e00419180b723e52020 -Signature = 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Params = SHA2_40/4_192 Msg = 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Params = SHA2_40/4_256 Msg = -PrivateKey = 00000004e77fea1679f888ed145ad63accc185ec55fff7cd65a856edc3cd3695495fe6f417bc6d175042ecee7f4d4460dd381ad3027c89907bd8430a347b4466f7e9b9b200000000009d5b89a77adbacba29fa85baf9425f4eee10d50b810035934e8d5e81d3396d9e592da35bf7bd9ac5cfc9e64a1cf71bbedd31bf8bb4da78754e3b0dd098a5e5ed -Signature = 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Params = SHA2_40/4_256 Msg = 01020304 -PrivateKey = 000000041300c3209e0a72e120b00f07b674537e6e987700aaf104aff72edd5edbbc6c0409eca4734207def4e22f901941f9bbd064c0f30da96c143ec59da2bb9d9b86b1000000000092596dbeefda4be11289f46c93de5c4aab1c3e131a9424ca0cb5a6fe4191fc8d696b3d6d8006cac2114a0bd29eee363205b460d22ddddfa8fae9af2b3f68562d -Signature = 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Params = SHA2_40/4_256 Msg = 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Params = SHA2_40/4_512 Msg = -PrivateKey = 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 -Signature = 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Params = SHA2_40/4_512 Msg = 01020304 -PrivateKey = 0000000c8fb47479e33dd168d38f3387f2fd4a4d3e43ecd9b016b2356014e8243557f61ca714ce019c9d7129b5a1f3e857aadf8953e8fe5ca75e1057c6182fd546bf70fb17013b543c1778dad02901e37d7bb989f77936d351b41e9525f42eb3ce5ad0a7cbc3b6b22c7dd58ba8759f072eb6df58fe3dd8c5cff0077678be4c013eab7546000000000015dcfdcc57abffddf3213d1a41ab16d991b23cd83ff69f7b699c50b23649e11da30750637a5057014c5b693c32d765da77b296b64c53bfb46fae52b35ed38d4dd85fb4a4543ce1558d9218c6c67848a027c9387ed72a5eb7350b3b146d1b9deed895f3f0f4196e94e5793c006455dccbe671c41e89beeba93c26afe07b591d14 -Signature = 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Params = SHA2_40/4_512 Msg = 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Params = SHA2_40/8_192 Msg = -PrivateKey = 000000255d5d7234c507a2a1bcff942d09f82b9044ed13476663d2b05f091514aac03fec450563b6c35c55121962228a6eaae4c00000000000fef32a71143e657d5065d18fb89857ba3ba659cbf6f4ede3da47463ed14699260dc29385f29b83b0e058212c5bbdf066 -Signature = 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Params = SHA2_40/8_192 Msg = 01020304 -PrivateKey = 00000025f3e8a30290c08b5181ae08085e8f0d296df12620b4434ed61f68a18f677d0ebe7a479b249c743d7520546830dcbc39bc00000000004e35e937c33e6f2b59d6f14af54417232fe51f7fd499c36c524c3836795caed911bea14165bbb1a6ceaee25d699fe8e0 -Signature = 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Params = SHA2_40/8_192 Msg = 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 -PrivateKey = 00000025eac8c7c2a3ce3261b575a6d20be5fd56a930a840b3b4fad549058e77d9c08733d6c2ae7aaeb6e2ba3e857194cedb7c25000000000013b1977c7f29cd2d45582243189d94d47c9e1aec4ee6c060a2abacefd925d96203634da62f5e5cefec7690203316b048 -Signature = 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Params = SHA2_40/8_256 Msg = -PrivateKey = 00000005ce8d40c881d5719f32b347ee12840241a343df3024c8398bdd35d091ea057b399cb8e2219d3e06c22572176df9a0c7461a1400bc8f4f663aea794d30befb4fd2000000000085b9ddd447af36edacc81047ce03df94669a4a28d99ed9178c033363f16ca1cb8275b6eb82a78431a650d1cd97803b07246ca91849bc30bc1991263d3ae7b8d7 -Signature = 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Params = SHA2_40/8_256 Msg = 01020304 -PrivateKey = 00000005e7d12ade1c65fd320cd39f505d6eafb3d7146ef99f5f4adaee76d94624f64221ca8c3bf885fefa77ab9b92ee4ba58b095b97aaf2f0c71a071d4a82d70efefb1800000000007d7f836c02d44b4c499358190ba85054efab5b47fe63219d2c87594e18ae358798ae518d213edfb38d95451486487f020b135b1a5a1b26ca115dfc0b6d7711c0 -Signature = 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Params = SHA2_40/8_256 Msg = 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Params = SHA2_40/8_512 Msg = -PrivateKey = 0000000d0317f0a243696ec36febea662a9be95ab460f479803d1137cf2bf95665955ea5e267f4f99b4e9470dc8e8571ee792ff3f070c40335b74b6e6574717df4785926c66e7e9249e147636f9997e41592b997faeb09c8396769873bae6770b94f49b2d25d37567f1cc7620934f54d3684522ac31a17e8cb44c4c336f5b9538941c799000000000060b838de29606f25a7620c9ac2b20d4120802ba4e7ed17a82cbb5239db92143b412856592d6fa2a573fe3e0c9a49c1856a9c55b346e1fa6b9038edfb3784f560e4410bd5abae0221a824ab1786af6d4771bc194281bd984d4fa73a9c53c2106d8971e8771acaba9be2351a60aebcfc217108e6f3ce0101a2b585893c14ee6333 -Signature = 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Params = SHA2_40/8_512 Msg = 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Params = SHA2_60/12_192 Msg = -PrivateKey = 000000285259335dedc4e1e7e73e1a1be6855dead2938a8231f305a81f8d90b175ec7a49237aae3a1615e0fc1d2a8315dc71df430000000000000000a8b9c4b9a5bc60e6b555cae592089564518030fba7f358950e9b9573dcc122ddd2cf9f18b544bb6df73860e371b2b5fb -Signature = 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Params = SHA2_60/12_192 Msg = 01020304 -PrivateKey = 0000002822ac27a1c7455f983434d67c3e5edeab5516978b71268eea6cf06fed0775611d591597eafaf4dd5fcfe0ed35d3a1177a00000000000000007f98b7a333562ed384407734eea74d76b215219b22f6da524622853ad0017d3891b7e0c2791108913966b143b75c9482 -Signature = 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Params = SHA2_60/12_192 Msg = 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Params = SHA2_60/12_256 Msg = -PrivateKey = 00000008b80b4a4371eeae273160fd8f9441bc7cbf59fb8ee4173390ba096e4d3281617bd1fec914bb4173d6a635d21995594cf409ef2d90b8259faafc5ade1fccec72030000000000000000a033d8032d0a001f02b7b18e37df2928a99cb87046147234dcdb4987559b2df6258757d3de0203b25ea3e1c84ade3fef770dfeb957951b108a090b870a101791 -Signature = 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Params = SHA2_60/12_256 Msg = 01020304 -PrivateKey = 000000087ef76e5a73770be31a24179e62ac9a34530b0f132dd826918d34d5dff16dd88d6452272d2d93eb1905a7e6009cb05ad6604af639830e6079f435f897a969dafa0000000000000000f2558748c0a95b2833af9deecb6255e5c99c7e639e14e53496d48fcd31020dfe148ad1e9bfe190b88f2bad189800cd920f54ff165db2bd664e46c79afe032905 -Signature = 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Params = SHA2_60/12_256 Msg = 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Params = SHA2_60/12_512 Msg = -PrivateKey = 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 -Signature = 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Params = SHA2_60/12_512 Msg = 01020304 -PrivateKey = 000000104321223478bb838b093ecad185df8ef1bbfdc27ea679a8dba7f3e0f82abaf116c6868ad8ce3455d6a18c263b0563a952027d25eb9ea0d639d43a513fb01b8a04b1fbd29cf017eab34699f24fe690d190b27bb7863360505a74851883a80740ee27e193f2489d7afd31dcc37c55c6bd9b2f6d2ed3273be541639e9df674af23ec000000000000000047465bee8036eafbaa9b8dd61a1a64e405676438b98c37ff8ae29f798325e4146d3c7d93abf40357d9cf359784276452d88ea4a5a8f4618405395f8e38a97a45b8c331668864bfa922f8f6397841de9bba6a4fc66f75d3c81746a47b9f9a4e565de2822ce9eefc460bf09e6ed2d618815560833ebc67221caed913a68771be0d -Signature = 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Params = SHA2_60/12_512 Msg = 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Params = SHA2_60/6_192 Msg = -PrivateKey = 0000002712c1d87b2b3d4028bad3929eb9cb064a3daad86cbd7b00bf39a130df7661b3b1734b8742d6bbfd51a6604995fa980443000000000000000016c44fe26e8b7020634eec86931f33e2bc606094ac664286ca8fea5f7b657370398e00a054bce657ad296850293603d1 -Signature = 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Params = SHA2_60/6_192 Msg = 01020304 -PrivateKey = 000000273217ebed918594d7e2a0eab3d97f32715c258c3174b761f85d9486fbdbc7f44c0d4665f612ff0602fcd970f2d44b4ee50000000000000000655a9e5387c0c8c8a2cc634e0bd5c743b8ccbe5c139f7e63608b03a9f3f108a7ff0698b9b986eaec21acfee93658d72b -Signature = 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Params = SHA2_60/6_192 Msg = 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Params = SHA2_60/6_256 Msg = -PrivateKey = 00000007a6b6d46f8e335d2c95a60083ceb150f6c019ca0b70cd26f53edee8c0170b78ea75c0291f5eff5872fcfa5e6ba467f13696ad0b2a13161bfcaefdeae162d2f0a70000000000000000692811beb1649f65676c7a493843411f85b869dc395fb36183b3283a86c83d386bb99c97d76d9c73f81bb62a0e989718052403506f89c951d27cd1ac70d59ebf -Signature = 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Params = SHA2_60/6_256 Msg = 01020304 -PrivateKey = 000000074253a8aa0018166fc239971d406a0661691e4e388d3267ab85ffae0d6345dfbf5d9001bee8d8fe40f3b616d5ddc7af8d0fd16f442d69203ea486f5219f1d6eba0000000000000000e9794ad6313b6cbf819ec7ac7a4c589ab457c0ad4ac7c3806e3cb0de37264b1dbc36283457a50176a9f2ac62dcd13cfd066e223e1506d1316c816ef1f5cf36e2 -Signature = 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Params = SHA2_60/6_256 Msg = 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Params = SHA2_60/6_512 Msg = -PrivateKey = 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 -Signature = 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Params = SHA2_60/6_512 Msg = 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Params = SHAKE256_20/2_192 Msg = -PrivateKey = 00000031907aab1f1384b5dfdeba64dda8d8a3796bc4f1e769c139bd6bf09bec7551b1de6ae9d0345d7e8bd9f15dc84340a23e92000000829fdc261e4e89ee72545681fe65c1f343cd38806781b51ad3c46bb48497f20de35be3c9ec9170fba02271d8bcef7dba -Signature = 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Params = SHAKE256_20/2_192 Msg = 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Params = SHAKE256_20/2_256 Msg = -PrivateKey = 00000029b35002e80b371839b2ee54a2144ffe14a2fd4d0dd3fbead3eeda7e79f60c999594ec1beda0b1ee2d927a7a9e8c03877a66a0dfb5da417d32ed27580f1da833fb00000012dd4a95547a1c460f04156b769dcedd8531ad0db2e8eb20286d15659a2a24f843cfb596d2596bc826361e729685354f4a7b075e98337ac78b4b3afb3499fcaf -Signature = 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Params = SHAKE256_20/2_256 Msg = 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Params = SHAKE256_20/4_192 Msg = -PrivateKey = 000000324225973ff453e44f8cdb24c18aa00e7f5475803fee947728c0dbd27cbdacaa924da3b9c9c814eb96e66ec62889a5c4ea000000b4f1b87c3e3cf802413793de6b8d491e4c4f792571e49703493dba0e40bc3f7e5deb0f17aabee2cd61483456105f8717 -Signature = 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Params = SHAKE256_20/4_192 Msg = 01020304 -PrivateKey = 000000325f581526e584ed79b1975fd4c0d09ca8f89fda551b2fce40397404db813593cdddce46bc17b66cc5dcc69eb2e4f9d699000000e89531d687ce4900d3a731f9508cac2124c1966603a75a888d1a4fb9d60c9439d18182493ed34f64554b4eca98dae759 -Signature = 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Params = SHAKE256_20/4_192 Msg = 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Params = SHAKE256_20/4_256 Msg = -PrivateKey = 0000002aae4b330a217fc44d2e53dd200e2bde7500c41c7c1779131826df1a62e7833e2e887d237aad0e26879b252a2d392ded4217cf553a943a27ebf94dc04f57f7519900000076f53486aef77351bc0a33ada99578b7b99ac4f645e064387b206aa3e85e8a77c0c0077d4011eeeddaf50ad6e8c955b6bbd61d26494982ba222c7990a2b774b3 -Signature = 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Params = SHAKE256_20/4_256 Msg = 01020304 -PrivateKey = 0000002a6dd2b191516fa2b4f1b6c02194d74936d0ebfb08b4e7f8b3b5a90453876a86c7e993b38374ca362060a7d670452380e7c030f610c4dd793881cb5538da795384000000c031c76e09207298c97dd04bcc0a31576e77b45219c0d26dd8f92eab3e021772f44caec2f24bf0ad0b15ea5605f9bbc3dacc690c72f2106e6e94d084417c93be -Signature = 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Params = SHAKE256_20/4_256 Msg = 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Params = SHAKE256_40/4_192 Msg = -PrivateKey = 000000340ce92461e7cfb83922423e0c63aaf98c44c02130b8b6ce643ce13914a809e1590e6dcaf59e7648c818825b2f17ae069e0000000000876330888af7f6c38c9c22115db83a930a22271c24ecd165467c0c65750446486ce7c3cc8bc52b80c761eaa3d3640287 -Signature = 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Params = SHAKE256_40/4_192 Msg = 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Params = SHAKE256_40/4_256 Msg = -PrivateKey = 0000002c0695c2405101ad8f4f6f357d970b35f3149c9b6bec69ad0e0dc5c857346b46e26a11677c5c4e7938a2d4dc4632de66da836a67845c990f0e57524fe88a09b52700000000009c0e256eab7845f0dc4a889d610d20be40c914deab27cba71149ea9e982647b3076d4b391c14999dc187efa9d2fc071b1d553920319dcf9a359611e74ee48964 -Signature = 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Params = SHAKE256_40/4_256 Msg = 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Params = SHAKE256_40/8_192 Msg = -PrivateKey = 000000351f9a74d5988e738f7fb08302b635c1551b2c2e58838b9f440b5c30c27c48cd1f898b384918d4dbf341d730af60b7ec640000000000dbf50496ec4142c6a0511ed30e0a32ac43ba0ee6f5e8b04f5132a46574b79929bf4bde7a84d5cce294639bf052b7c7cd -Signature = 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Params = SHAKE256_40/8_192 Msg = 01020304 -PrivateKey = 000000350b5cff7b70819c38360b8075f2bbe058570138e90dc227382107fbd5cd4c05afb7c4b343b0373a14cd79fb8222980d5300000000004eb192b936c1fd75fab67a16a46a1f41731be329f64c1fae86b832a19aaf628857a98e9db583cd2f923d02fce74ba23f -Signature = 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 Params = SHAKE256_40/8_192 Msg = 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 -PrivateKey = 000000358a700b3e2051deed833dec7ad3264c4954347cae7e8e7f2a93a13b0d93fa19d07d76e41e478216bc9bad2c281d3186770000000000f73de137268bbdb3b3f7717756ce8caf721ffd44fd557325e050f900aa1d64c97bf0e8717f5d610810638d20ee35a976 -Signature = 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Params = SHAKE256_40/8_256 Msg = -PrivateKey = 0000002d2ac103c289c5fea102ee2e5bfd0575670eae441b90158cf017c896872368a2b07ba6254b893b426d834c24aba3764eedeb93e1b9d8030df4ada99cfef6ddc0e0000000000069118928bfd0e5d53c8d982bb0640fa712b933e371085deffd15620bcd6742d657825f5ad841be09b6e8a4c7f2b0e65d8ccd727a2a92870f5754b7ccaa6ab2a7 -Signature = 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Params = SHAKE256_40/8_256 Msg = 01020304 -PrivateKey = 0000002d62b45ef93ed9ef12152472c252f1dedc017eb5c2b0b7e1c2a1a0f738111512d85675da7d5b5a1e40b6c692a04e020155b0732ae2094e91d9750e311ce9358efb0000000000ca7635ce741f3e98be2f6df290fd4b28d186f5213846d1a50d30376deaa843e322289a757df8f887ceca9ad823cc8eaea452d375dc22d84f2027af2d9ff2880f -Signature = 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Params = SHAKE256_40/8_256 Msg = 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Params = SHAKE256_60/12_192 Msg = -PrivateKey = 000000383018e51ed40a9dcb0c359f53dc4bab52dab99d2575be16ba2234e5d4217ed0edea7d621465453948aaa9eb0c0b5d8c1a0000000000000000906634bf6e424de8c992b49637b7c29bb0fd9e271e2b93342f1c1b8dc9880198f6912dc0b15971c48cef934fef8f5cda -Signature = 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Params = SHAKE256_60/12_192 Msg = 01020304 -PrivateKey = 000000383b4b0fa89a87e29729284df6325ea3e9bf389bf4892fd7ba8a880b0694b7d0b5181b38d006ea36a30d7fed402f7964d40000000000000000d858f6dd94efe8b43c94a356c44e7914bbe1f8f82acf99807f9007d77189de6b7e6e61afa1655298ea5dae8c4afb5c29 -Signature = 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Params = SHAKE256_60/12_192 Msg = 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Params = SHAKE256_60/12_256 Msg = -PrivateKey = 000000300bdff29eb8bfb031807fe9516104ec32a2112baae5a0f606d5f47404f974155a1f58844c648f4d80c5af670c7eb49c65830f9549cee1e8ef0266e3c4831523f20000000000000000cc6c5703ded60d6d46ee6793fe53d08ec5299789da0440c581cecf5a3cd33366898af54261e9e0b3d615c91c3e31de454512c669a973f61fd52f693a4f2ec4de -Signature = 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Params = SHAKE256_60/12_256 Msg = 01020304 -PrivateKey = 00000030ccc2804dd323d2b66d7e16252b2f189875efde642040ec57a38416eef142e24a51273dc6be666fee77e8cc6e13602d3fa98db115be34935d8769bb8161ae6fc00000000000000000692957194f8d211eaf68649dcd302e534815da9924b68c4a2514eaaabdd91f55b5a5ae556bcae17694dacca8e0fbc05ba775ac1e8a888cd403aa45aa01ce862d -Signature = 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Params = SHAKE256_60/12_256 Msg = 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Params = SHAKE256_60/6_192 Msg = -PrivateKey = 0000003780f3bd07de29239f9b904c7b29c291eeb992fa42f686e0a11b097e453c90f38b1efeb422c85a4f5e69a07969746b198700000000000000001c21dce8e44a4ae3b2a8e8fd0105aeab7f64588f4d3741c84b66a514a14d26f744e53938c1be14e65f4233fec4f48a6c -Signature = 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Params = SHAKE256_60/6_192 Msg = 01020304 -PrivateKey = 00000037e3996caa5d4c596bda2b3c997261477dea662c1c0beba6ba071b1305bb700ffc72f56bbd7a68ec73a902805a280fb60400000000000000008f905da85d4a3c697b93e0adb0638da43c1aba104997db64cbe0cebbaba04d6306f3c6cc9f26119e99f6cf0251a77002 -Signature = 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Params = SHAKE256_60/6_192 Msg = 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Params = SHAKE256_60/6_256 Msg = -PrivateKey = 0000002fd9c30ca8f2a249093608fb7cbfcd8fc5a9efa5cfaafffaf487207355121776f6bc5d870dac5e390f5fbf988b078811bddef66dccb8052d9d96c6b7cf6050dbd700000000000000007e41d9bd23ac17f16bf044ef3608c4904f995728e23025ce7b50aebd31f8fec975651eda41bb0ae4f58cc2db0381b75ea5e6c7e59f9748720070744d4a61515c -Signature = 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Params = SHAKE256_60/6_256 Msg = 01020304 -PrivateKey = 0000002f3eefe0ecd107999f26866989d7f54c452474f0a727707633688662440d1e90da68c17d0dedad77a271632becf3fd854ea10849ac84629204617d1c302460c8540000000000000000e92b9d903a16e0e9bc1693986731b65392174c88d6a9900d465d130fbdc94bcde0667b7300fb4ee7a90f18d4aee7808ee55265f5b2cb8d4b832f4187dcb12e09 -Signature = 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Params = SHAKE256_60/6_256 Msg = 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Params = SHAKE_20/2_256 Msg = -PrivateKey = 00000011dd18f3bf33b14ccac959b4c266553a00f845f7d7163798a4ca6d7011861f36591785b54b4a42929a9087308433713987b8c21a9b3a25ed4390b05036ef9192820000009327642d7fec287804310a031c62e57e00170f5eb55d43437a0a604cbfa16d5961fce06f8ec1ddcab41751c2c4145c66a587e2342b6c49f8814e759c72854c6f -Signature = 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Params = SHAKE_20/2_256 Msg = 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Params = SHAKE_20/2_512 Msg = -PrivateKey = 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 -Signature = 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Params = SHAKE_20/2_512 Msg = 01020304 -PrivateKey = 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 -Signature = 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Params = SHAKE_20/2_512 Msg = 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Params = SHAKE_20/4_256 Msg = -PrivateKey = 000000121879c64c905490b89e897fa8aa0e2e3137123c8c95ab133ed0d1499340893d5cd7e739e0383a6c8c35278006cde98e4bfc70000ffad6fc8f2b1e114496893341000000735efdd3590f562cf066524d67d591297a9ea77fbc66f125b051ad32e7f5fca6d7cbec7d6014d23873e0f17eec4288d798efcbe94ae88de153130ac1ecc09bc3 -Signature = 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Params = SHAKE_20/4_256 Msg = 01020304 -PrivateKey = 0000001201ec5554183f4daa9b94d6e341df41018be7f59b6b489e00dc40fae788f5e4e2db437be01cd1fd1358d88412415557734c13874ba6ce7296ec081162db639bb70000004a935397b03c036ddebfc26c47601b17b8f977618c838be0f95cc1be4567586bcaf7bbf80b7517b0fa3b75bf3661f36786ff7c01d4d303ee4a35b2cd7c8e469c -Signature = 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Params = SHAKE_20/4_256 Msg = 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Params = SHAKE_20/4_512 Msg = -PrivateKey = 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 -Signature = 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Params = SHAKE_20/4_512 Msg = 01020304 -PrivateKey = 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 -Signature = 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Params = SHAKE_20/4_512 Msg = 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Params = SHAKE_40/4_256 Msg = -PrivateKey = 00000014364b0f8b345e8b062708d070e617066e507a14c42b50886aa376a521f14847550142323e8d84c24c1d359a62dcc1c399ab35340d67d0dada7569e740e394cda300000000004687e410000cafcc84e3db8beae3efa5312c91318b60e067fac93122777b1a795a08cfeb9ce4625d174b84652094e929fb796e35858d2e1d928d6d551d7db4c4 -Signature = 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Params = SHAKE_40/4_256 Msg = 01020304 -PrivateKey = 000000145cf11deb4abafdfbbbdaa6494c089a2ef0d6df33f5793fd3997140b2eaa6a2a502cdca6d658d99dc63ee2a17c9a2f3377b99d49241dd92dd2202648fc11008c500000000003f0d377b5f3c8707ffb122fce04f7650b945980328c2535bae094b873b73263e9eeeda5e986d692a7d05ab45dd78e807e7a9b618ff999e3b517b9d018d24aa4e -Signature = 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Params = SHAKE_40/4_256 Msg = 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Params = SHAKE_40/4_512 Msg = -PrivateKey = 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 -Signature = 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Params = SHAKE_40/4_512 Msg = 01020304 -PrivateKey = 0000001c5867b640c39da0adfc4510ba004f37916b5d80ba1af7d007320e7083890d276105c45e76fc58b99abd6a9f02f9326834e43ad6c9ffc70d133821195eeceb04f44624c48710342b6133dc970d5510dcd70f901c1a7b97ac12e0317f45740b2287e39b3d750cabab8a250a801165e6dcdc22e0d658715dca8c29aeaf36774b5f3000000000008f0d8ce44073060e127ae3000a3bddc6923e2cb3c308e456d4cf9d46b642a5586f01af4ec0e2da3fe5f5fec78749b7bd5eaeb756b87c65b518115d8010e52e21b47c0038dc2c7ab083e71c6f531d7a6eda71616066ce6ff4cda689a700ebaad8902e34988b641baa7ba16903e51e6546422062f58039d09ecda9dee962be6ceb -Signature = 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Params = SHAKE_40/4_512 Msg = 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Params = SHAKE_40/8_256 Msg = -PrivateKey = 00000015d2b57187e0d2b1bdf740dd6e338e11cfc0f3ff678e149f3c8f53d1e27d4a12e4bd29ea0a9238e39ff1414263e4f8dcd29f33fa971e897460952df6237b38beb200000000003f8a74f6aecabd821bc8dc43184a53bc9d004743346cf58000aade0430b1084778c640941e9292aa982df8a3eee3e415bc6048232c769e28d7cf6a4c673c508a -Signature = 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Params = SHAKE_40/8_256 Msg = 01020304 -PrivateKey = 00000015a03c15d7fac97624a91c98223a0fcfeca5b8141c402e9a2c0bf3bbc0543f603e21afd7ce5374bbf86303f4f71e8dea38e5a0186ca492d1698fc091d644ca7a27000000000047757dbfd585ea6a60a62f913f47f4c5541e084d995d40284385219d6f250907394c113dba07365b84719fe15286972c973c1b212252a902d330fab6fe988bfd -Signature = 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Params = SHAKE_40/8_256 Msg = 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Params = SHAKE_40/8_512 Msg = -PrivateKey = 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 -Signature = 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Params = SHAKE_40/8_512 Msg = 01020304 -PrivateKey = 0000001d84b15f18f8f7bdab9750d5b63ab52fc729b21f7256234c904ea1b09fbf6536d318d999d7dec837ddf30397eca2c1fa214ec291c383fc99cb0fe40836b88b939c510303f1cfcc2aa928f7c362b09e532bf297730effe2bf7340d077b68799f97cda405107d1e3d6a7ca357f8f4660391cb927d87bf6b9a27a33a68703deb7b7010000000000798c41e5178564c44a305206ec72ca14adce5dce2715bbb9baf1c961a149d583626b37cc9ee8beaf4f504a930cfec029337e84f55044f84db484a0ae38f2322ed654facdb0a29d9b886c1e3416512f3b4ec9d637c22cfbc339c4096a3b952dd8fdd06892728b5799b38b0a80053e616e7073803cffda7c59d405b51d24065c4c -Signature = 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Params = SHAKE_40/8_512 Msg = 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Params = SHAKE_60/12_256 Msg = -PrivateKey = 00000018b22759c2d881cd14c5ef8477f69265b977fd24b269ce0f0429620f6539ca4c46e6461fc5b0a1a382d105e6b719d5d799bb8e2e84f0c446ff5c143f9db0a9bf940000000000000000018b0d3301415bd41f6df80b9a70288e28ced8a3108b57d3342285d32b5fdb21e6a8c91d49aae252aef57bedeb629346a0e98651de1df425496a4b4bf1d2e895 -Signature = 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Params = SHAKE_60/12_256 Msg = 01020304 -PrivateKey = 00000018722c961d2e4b777edeeb74ea574e9d447253f95e6f707c5195bde7095e46d66c42c93abe63e43141512e2fba96742289102030080639af78c90df716c9170c450000000000000000be9eb992cb5cabf7a74e4b1fba70c68d3c439745a9671034ce74d818504e04784ddd2591ba9b10a595485b9b6f3aab456dc1011ce24b502c386ae75735642cf8 -Signature = 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Params = SHAKE_60/12_256 Msg = 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Params = SHAKE_60/12_512 Msg = -PrivateKey = 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 -Signature = 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Params = SHAKE_60/12_512 Msg = 01020304 -PrivateKey = 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 -Signature = 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Params = SHAKE_60/12_512 Msg = 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Params = SHAKE_60/6_256 Msg = -PrivateKey = 0000001755cc414b97b6a1aac5a40f0a7cb9ddb394b7285fbe96c57583f7debe86ef14979592f59b04f33d7621118d5f75fa96eaf529fd2e5545707d73b54afda0ffe13a0000000000000000916f892856f4086cb0e9467e81aa77882d963d813cda60ce68eb6430472bb1889faaae28786c638beee8bbc6cd40ee71032c0554bb812b7b576b1d5930d8cb97 -Signature = 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Params = SHAKE_60/6_256 Msg = 01020304 -PrivateKey = 000000175b9b8c5d51efd4e49e19f2352af03ebf2640ea8b44ae9ee0611c1308299a35290e417e3b4d16ee43a2758053d7ba8fb781cec37adf82c31a6a884ebf715c7b010000000000000000f6adcad87a3c87798ecca038a611422e1dbeae02d210b5e39f309ad619619a0b249d80aec4b5f82783c0c4a1626adc42045bcbf963e97b478ec2d2a5a433ea5d -Signature = 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Params = SHAKE_60/6_256 Msg = 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Params = SHAKE_60/6_512 Msg = -PrivateKey = 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 -Signature = 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Params = SHAKE_60/6_512 Msg = 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- -###################################################### -# Test various leaf indices for XMSSMT-SHA2_20/4_256 # -###################################################### - -# leaf idx = 1023 -Params = SHA2_20/4_256 -Msg = -PrivateKey = 00000002ade3aa5cc62f8f7a8f5c4005ea5b6c05176d334aaa320e52426a76b4edf6ca7263add5dd6258cfbdbd943ec650d06e476fd920a5a39bd8caeaf363d8d9f2a1880003ffbc95359f6ea2c54a832755869c200fb699d5e3a3b5a62bcb0f6e03a961290775f3fa9bed1f845e9e4bd4c7e376797894d7f4b238cc0ccf53d27f29c51d23b6ca -Signature = 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diff --git a/src/tests/data/pubkey/xmssmt_verify.vec b/src/tests/data/pubkey/xmssmt_verify.vec index 6923c09b891..72b8e104e45 100644 --- a/src/tests/data/pubkey/xmssmt_verify.vec +++ b/src/tests/data/pubkey/xmssmt_verify.vec @@ -1,670 +1,640 @@ +# This test vector was generated from the reference implementation. +# For further details see: +# src/scripts/xmss_test_vector_from_reference.py +# +# Due to time constraints we test key and signature generation with +# a tree height of '10' or '5' only, i.e., where `total height / number of layers <= 10`. +# Use the above mentioned script to +# generate test data for other parameter sets as necessary. +# +# Note that here the PublicKey values are ASN.1 encoded as OCTET STRING + Params = SHA2_20/2_192 Msg = -PublicKey = 0000002118bbba5d8a16c9b1790a0adfb3fcce2a30d535aba40c2906c84d937c03dcb875e3dd51abc81075272da827517bca06de -Signature = 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+PublicKey = 043400000021990747d979430cffd7b1101d0c71e7b5b926c20bf66b4d66ad71b2b43a36581d58df8c30fa5d59691363acf2951f6231 +Signature = 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Params = SHA2_20/2_192 Msg = 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Params = SHA2_20/2_256 Msg = -PublicKey = 0000000142b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 -Signature = 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Params = SHA2_20/2_256 Msg = 01020304 -PublicKey = 00000001deef4ddf54980cced7bce74c3b6305f573ef7e9c136fb3c059ef864cc23f906a34eba42e6418df90daef1d34d84299cefed895f733ae9acfcad954854ca07c8f -Signature = 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Params = SHA2_20/2_256 Msg = 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Params = SHA2_20/2_512 Msg = -PublicKey = 00000009dff664630b45becce1db426943ca2be98f7b40af5bde55afec562ce18ac29eb62360b37a4de267cd728ed23ce2796dbbb7a8f827e56ab10237a9eaded830157a6a61a7c629982ff74b585130101c516dcd4b5aa90bd3f4425cd6adee56f16b80e6fc0e11f0b0d839973a64ad3b807ac7510af574a4372b4903c3e7f60b620f30 -Signature = 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Params = SHA2_20/2_512 Msg = 01020304 -PublicKey = 000000094cc6e858cb3e09d366a2ae1c965501165b9494e9fa9f0bff06d5e88e379c9293b95d48175fc10dd641f88fb9cd131b31baec806afe06ec5d435ecdbea17bff5ad8be88b78da7488e2733e20c8740421701a9d76d0d9cb34f5fcd02fe8093b3e7851e4550e2b6b189ae8154e838c6c4aa32cdace63d7cb771155abfa5ee9fd508 -Signature = 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Params = SHA2_20/2_512 Msg = 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Params = SHA2_20/4_192 Msg = -PublicKey = 00000022888e5622b9a77fe24e6d6efa6eef93fabb37f72d9446fa5685716642cad9f5f0d0e155253137eaa575c9bd3f320f3567 -Signature = 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Params = SHA2_20/4_192 Msg = 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-PublicKey = 00000022ea3d0a5b9363e172b4c4958264818aeecc008fc07cf0857a2e349cc2545510f27462da6a99854f8a658032082b56cbc3 -Signature = 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Params = SHA2_20/4_256 Msg = -PublicKey = 00000002a123f9873701a16a32b9bd28e552be6633a5db9fb29271e33f5f61ce3a0f9bb6ff5524265e87b0ac217d6185da3eba5672763258cc2054c96293e0d60c76d6d3 -Signature = 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Params = SHA2_20/4_256 Msg = 01020304 -PublicKey = 00000002e7c0ef548edb3f177b2dab448cb75c33bcbdbdce8b44b7a099c89b70f89e397a2df6e075788ee3a1e32938fa2d29ccca1ba7fc38b2bcd3074e339deab767888b -Signature = 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Params = SHA2_20/4_256 Msg = 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Params = SHA2_20/4_512 Msg = -PublicKey = 0000000abfa99d969dbd6d26eb542d829373eadbc8052ccfe8a583f30556e89a13c07dd088512cadd19e2bece860630ad16eaf4d5bee76d9cbe4cf74e911cba83855c9c7cc66ab279e98b4eca39a6f84921130ac24f5018a2cb1300df27881deb165f319ab937628d609ff29f8e435f0d7b05eacdbc49dce074f637330059e859950455c -Signature = 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Params = SHA2_20/4_512 Msg = 01020304 -PublicKey = 0000000a26aee4126c38dc7f6f60d2654a88ed4f0f204e778ebe0a65c17b199ecc81e86b6530826f3f0fe77fbc8aecd935af9e9014ca3b50e50513fd7ccb380aef6a5953e8cd480be76edf00099f2c516680bf9d926d63ae4544b067eeccd31ec6c81e6ad63aae0d734f048339c3796cca4579fc0e7ef78125a89544cfc3951f8462e0db -Signature = 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Params = SHA2_20/4_512 Msg = 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Params = SHA2_40/4_192 Msg = -PublicKey = 00000024639d0e19c72fd1df4dcd596e3022ad0b8cfd047b3641de1e479888052077e568d84de82ef2d6b022d75a000fa1222542 -Signature = 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Params = SHA2_40/4_192 Msg = 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Params = SHA2_40/4_256 Msg = -PublicKey = 0000000491e7496b54e91d9ccf25f7c9143a22add5c14d74fe8accd81607fe5374f51bc73e6bb0da144caa4fca922045637bf1c37ec8d43c3ee56235ff7104276adee0fe -Signature = 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Params = SHA2_40/4_256 Msg = 01020304 -PublicKey = 00000004573bc6f95bf0218584e32e253f878f430ee351f144ff76ec95b42d62cfca32931343dc862069bd89a905b90c1415e9d927d60c794fc820668f1e47ce53d6c0a2 -Signature = 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Params = SHA2_40/4_256 Msg = 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Params = SHA2_40/4_512 Msg = -PublicKey = 0000000cee887bb94e3774aa48048ff5334cbbd51b1fd75984c09d1f8324a2a644108f6ff01f3be604fbfa32636999f5aa5f08ece7b979ce015ac34798e6b8187a1c16de158c506cb406d1b20ac480408bc61c160fa4f113618052af4130332fb0abe45e8103a031f7d1481590525614f53423c53a22aacbcc285d22ec413da336e2de6f -Signature = 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Params = SHA2_40/4_512 Msg = 01020304 -PublicKey = 0000000c7b7b01bfeaf7fd8ea7e72fd56f9b002e6320da41aa64ab8cc346d5a296f84a387f5a781e5a059ab62fd7723ee0aaab451ed7ace813e9ab160293edecf4fa95c25045cb5c4f0411a758b38d5d541072c1de094ccbf2f9ed863955446a0cb09e871dca127a06cb864388fcf7c3046cf62f8263f5d3f6428d72e0a07cca41a552ae -Signature = 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Params = SHA2_40/4_512 Msg = 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Params = SHA2_40/8_192 Msg = -PublicKey = 00000025163113744d98e2bf810036887938a0e7c8cad37812bd0bc8abfcc41e9debfd394e2fa8b564802bfde9a4e9238f310a4f -Signature = 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Params = SHA2_40/8_192 Msg = 01020304 -PublicKey = 0000002534b3c388c03b943d063d40ffa8a1a6a8dea532ccdd218ca7182209b56c91f0de47fea8ab3637d50df15d0d97f4343a99 -Signature = 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Params = SHA2_40/8_192 Msg = 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Params = SHA2_40/8_256 Msg = -PublicKey = 00000005e9fd20e2e97fd784de1d285689263791205711853502c0373ba2273e753191faed2e1c17ba954427d8446655e1aa19a04ad09b869c7eb6895ecafba23047d722 -Signature = 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Params = SHA2_40/8_256 Msg = 01020304 -PublicKey = 00000005cc1e0b870ca71846f1997a39b02def94d317e292379f5f57863c06d54afdb41ba32738290f578c47996503a4544df3ab3c0d15c48774debeb956bf33c7c6e89c -Signature = 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Params = SHA2_40/8_256 Msg = f1cceaeaae1838a11e8f9244ba16387663a38f661e160d7ded41a5d535066732b28f101412489dc73d6206ca43976dfee50faa23862b6defff6a873cad75ac069670e6203e970cada047cd10a3d3a5a2d4fb05c4d68ac3b88b7760cef22075504ab2808e175b54dff1659da07581ae7da0f287e18bcfc31bccf9ebb7ccb61a1321b3f0da52050d7220a291f94c71db4e9d315510372bb0be8362e156363ccf10903dc7b3fd6a6816e0a3c1ee2a79cbc683805aa7ff9346c977cdb7eddd1eb6c4b2686007f75a339a27ea25e5092ff01eee99a5241d43b548efdd667aa5171d5fc4089b5273840384b2ef390e56736263df23533f5f8330b53aabb68c24ddfed9aaafdd5679adcb877e5f0e7270cbcd7d3938136fa6cf038e27bdf03825a63917693d8b3e653950fc5059bda02e8c7c5f457d86ef684138028d18044c277c23fdab00491866ff354f2ec6722f56d4ce9f2ecef50b2f4f2a85c55b6eb6dc5d66b13e67b87b0071a5b2e4bc7ab92757a683867326ce18dba8ff2beb7bbbaa314e65953e861c8b10bce481f607fad0f690a9c0eb4c0155917707a02db1d22d88f2a14584f10ab13746fed752a4b7f62ebc85b34360d8ab964e280bd96e51b32ee6a589c62b63f42d7babfe6c7da6324ffb6f1dff4f6df586b1d2d34e23e3be915631bf143537268fb50ed13fff1a91856a451e91debc9fc337f666089b8e86efc410e97f1591ee0162d26fda6e6212b97886b96422b92b1220a6b6134287755ac3d12d2b96854a3e9e9cbc2477db2c3462695675ef8ab08a4968b79f6851a98b5f5056ecdb710864422cddb3d974451f66904377ab2056d6ebf7e398dcd075852537507c85a84ba14ee4c0aeb50c3bcb40f22e904eb7dbbda856b6556ab1e005e41eaf372f050c29f76f92c21647dfcbb40aad9f92201108d1ff3153163924c99cb6296f7e179779c8764627bed676e22c98b61793275da8f6f25b0122fc309c4a3f174816d90af39d0d15b457df37b8c00227655f9b3a3d2614bb9f2d1b273f67b2f92c182cd9bd64aef8038d0ccf6826083fe84135b4de6111e02909acdf175b1defcd11b24d01e50530aaa835dfdc5a6f237dbdc6ee3c3796d95306ae63b4401740b17ae5006a0bd4bf76bbe97df40a565a9483d99c0e8b17bd96dd72721da6b9d75323c262006d70ecca750caf81072151dbe43189cff3ea254d78b5fdf83530c1d937b3374fff41c3fd26c0f3124e38d9747e7213cf3daeaddf31b0ac7c72c6b04eb8ef17da3e9e93d09435ba8d707ea4c12576aa8ef23c760162645a30ec557b7688e8ede33d116ef39c9ee89865e2cbb854d35570fd92a7fc41ed95809e1a9c2d79ed79855505ac99d26c56d70b824bd098622cb5c704e70e7f281f215c3eb059edb8ce13731e 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Params = SHA2_40/8_512 Msg = -PublicKey = 0000000dc4e44d89aa41af00dff1e5c26fb3b332edf7c962a3d54ce5715571f9798adb7d035036488465e0f407d11371c14abe3f9816bffc68550e47ba6a1e9c6e7636b0ae033f7288a2e52e4809a88971da04aae3633d7bb240f32ba01f92f14274559aa43dbc760d9827b2dc08e89a575fe8d660eca2ac1cc4c1426d05fdc3df5d8592 -Signature = 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Params = SHA2_40/8_512 Msg = 01020304 -PublicKey = 0000000d947f92a971e92fe6dd21ee8ae539eb2f08691948de554f86e47c331db467f9c47be4a0b040e55c8608e43e3197309d62d1be46aee6268a2e04ad042380d34627ce3d87be6c02a787e9ad74a3fd26b75936da07d7b33d2a103f3b979b58f57fc69e703a502611366703def85b1e21b0f3fe4057fb7fd4d7eaff9d7db3823fcf6c -Signature = 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Params = SHA2_40/8_512 Msg = 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Params = SHA2_60/12_192 Msg = -PublicKey = 00000028edc1f7f4ad5561f6db21a5553fdfe6a7d3999bd2e6f3a6d1dcd8dbd8c194daec15b3313cfbc8b8a260ce79f242592e20 -Signature = 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Params = SHA2_60/12_192 Msg = 01020304 -PublicKey = 000000284e6d3b5e4fff0c38537a67966c77889323a9fb1c572c052eac3a36dfd983067bc5f1acd6aa3bf2df97cea61eb7820b7e -Signature = 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Params = SHA2_60/12_192 Msg = 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 -PublicKey = 0000002883c6086859be5dca0350583bbe91cb17976434ef6ea90543be14420349ed2ed57512577c36eee850297cf2af82bbd102 -Signature = 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Params = SHA2_60/12_256 Msg = -PublicKey = 00000008efd5cab20a72c8a50e14aa87bdb567bf29b420ad94f15111c81d18e8a28813292f75aeeb471138c2bb10f7addafb3dede1677bee971773d5f0c752c7ef18f2cf -Signature = 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Params = SHA2_60/12_256 Msg = 01020304 -PublicKey = 00000008bfd31a1d04d932945b294b7f3e0f6beeadb0f53ef303f567ce455d1118a27bec8a195893178424b7d940522e409d09e53d51c161bd49b3d106d69ce04050c636 -Signature = 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Params = SHA2_60/12_256 Msg = 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3b90ad68a0cf4d093ef50d096151333601810a1570cb0589a228ad2bfe830247eedb3cc61e396b9e4bcaf0b8cd274aca2a1c6665c66fc61ce1a8e14a8548cbb891ec7ff0cd7f8efe84a4f7c9ae04b2118cac032549fb690c9416020ac9376efc9458233fc597002a0c3ea6cafc090d04d0825d4a7e542cecd5cd459664c52045be0551bacee6231905fc89871507a4cfa5273a2d852cc4e967c524738926fcfbb0fb827fdceeb61b0dca5a175a5568dbc7d498a3012bfbba8638517b Params = SHA2_60/12_512 Msg = -PublicKey = 000000108c761f43ae096f6904a59d623c123c2190436dc0bf708eac105d852b7e516e54725824fa142a5ef1ef10869f22b6986323c8643cf18db29c80a5706ba2760bf0a20576f41592b0f29aa492c8d1384672b289e2ccbb65088439e35dd492797593e6ee76e9548de3d89d012a40fc18aedbae96aa0337e46decb2d21541e472074d -Signature = 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Params = SHA2_60/12_512 Msg = 01020304 -PublicKey = 00000010f7e6f5270d15831f3cf2dd392657244e8d4b973ba01e0b521d9d3a9f41918a0b91c05f0c243afa99670d293e03c4d6c0d94b66dc4c7955514390429581b79ae664f5e177b4f1435d58e5cc3aab9c0145838ed66cebab412dd0ebdbcf86e175110a6e322fb4b1675ad0d342ec04bd5b8b01d4c58e6970ebec7a77b2fa62b608f8 -Signature = 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Params = SHA2_60/12_512 Msg = 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Params = SHA2_60/6_192 Msg = -PublicKey = 0000002745195b5e5c6e8166896a618f25ca45abfc770288344e3eb2c74f615d01204d09c6cd0846477156c847bf2da1b4581f4b -Signature = 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Params = SHA2_60/6_192 Msg = 01020304 -PublicKey = 000000270d682994ba96853bc07de7951e269ff809a2730e29096cb2e94e26b437f777b4b0a41e5dfb6f3502e5b0b4f37ab326e9 -Signature = 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Params = SHA2_60/6_192 Msg = 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Params = SHA2_60/6_256 Msg = -PublicKey = 00000007200710e3bf2f59910864d487371bf14ea19ad58fc1c101b332996a7a272ead3e51661152b5a62f61c1557b3ab5fcdf3f875577e94b16be99ff7b03185170871e -Signature = 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Params = SHA2_60/6_256 Msg = 01020304 -PublicKey = 000000079b170eacbded612380161242454fff1b60e6e55de906837c0fdba7b3e33926d0989f075427071aa60856f369b4a81aaf1075ecb480ca129320340e659dd9afa2 -Signature = 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Params = SHA2_60/6_256 Msg = 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-PublicKey = 00000007683f60dd1839a0a181dcc06972e2fb0e0239b01447e142919cca6a3b91ab5691d177f599c4ffabeeb1f800e6f39b32baad48c1a637f850fbb254ac27a997c781 -Signature = 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Params = SHA2_60/6_512 Msg = -PublicKey = 0000000f6d87452bf089cc5dcb5ee73376550c897a322704dc233b4d18b9826288ed58ebb2d11f22652fb86f38a41e9f3a35a83361e1f7a483db2f51be526a9325d2ce405083a34883c0ddb6a7d0a65b725e6049c99ce556d8857754e0a9d4dda940089764fae3b4590002985e407209d06585300d21d96d76acd4d76d08328ecc549840 -Signature = 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Params = SHA2_60/6_512 Msg = 01020304 -PublicKey = 0000000fc44b81c394f616e99d8b0da8b2f3a916757d19f023ebebacdce08cbe3bc02cccb43ac45bd58f50ac395adc3a0eb2dff682b1caf889b7787a431336f31ac7bc6064b5d4e6286ec8bebe59253b9c3d9b67b6be6f780d71b8b555b73af7687b03cf09eef212310dbeb9a9b4c91a04cd63ccab799156fe4c88b5401342e1a03de880 -Signature = 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Params = SHA2_60/6_512 Msg = 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Params = SHAKE256_20/2_192 Msg = -PublicKey = 000000310095023bbc31f7d9ba4177bd259c3c8ab44699762566f6062143bb58684350561373aea3130b7f5300fb5f9edeffee78 -Signature = 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Params = SHAKE256_20/2_192 Msg = 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Params = SHAKE256_20/2_256 Msg = -PublicKey = 0000002954409aec3b09cb95e20fa0913e96ee33dc9520df3badc5498f74e66f967ce4ab340893c121bf6925d068914d30a13de3a64de9d47afcad5366f23144287dc7c7 -Signature = 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Params = SHAKE256_20/2_256 Msg = 01020304 -PublicKey = 0000002942909a0d748dc93806d822eb346e05f69ee511e7759b615469644f350b027fc4ec0df819f51ccbbce74206e08f81e55c100773018be020900b6e4cc472d6cf33 -Signature = 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Params = SHAKE256_20/2_256 Msg = 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Params = SHAKE256_20/4_192 Msg = -PublicKey = 00000032d35c427794828d664a3eca22c875d509f40c71141840315d3d1e248647acc288ad8b33d681e6812ae011a9dfdf6ee2d9 -Signature = 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Params = SHAKE256_20/4_192 Msg = 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-PublicKey = 0000003203f8348fbf7c045e808668b13190df68e8c37039b821b96da8ef10071e8d716b9d91d6d25169a2bbeea087f5b8115914 -Signature = 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Params = SHAKE256_20/4_256 Msg = -PublicKey = 0000002a0993f299340ff79620f4e25ae0eb38cf7e9d4dee35f4b5416eefc3f468114bcf3b7e3c0f53c59877d859025559498be5e22af26f71a32fcc4974f367383653e9 -Signature = 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Params = SHAKE256_20/4_256 Msg = 01020304 -PublicKey = 0000002ab1ee738547bf266a713d9ecbb3fbf69d174b4ebc59de752e1ac215d6a4f3676245c83d778facebb4808de4be82f53328b44f9904b78262cc3e470c6968878392 -Signature = 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Params = SHAKE256_20/4_256 Msg = 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Params = SHAKE256_40/4_192 Msg = -PublicKey = 00000034341728deb4412123aa8ff71b16ccb9bf8be9f4547f30e0b3f1a5e70cd7b65c8593b0abe84641e7aa6aa3039ff7a4dbd4 -Signature = 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Params = SHAKE256_40/4_192 Msg = 01020304 -PublicKey = 00000034695fb6138e53f83de15f8ac2c185f6c59a094307c732f557513494cfa92f632a59bb34d8631ad90a050f9ec83bffd4cd -Signature = 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Params = SHAKE256_40/4_192 Msg = 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Params = SHAKE256_40/4_256 Msg = -PublicKey = 0000002c09c157df75996474ae96d850bf26c5588f530f9727add6cd4d5c53208093b2db317f07d2e6d07284f58ad24f3f02595ceaab08bd090eb823cf338b12e3b8a5dd -Signature = 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Params = SHAKE256_40/4_256 Msg = 01020304 -PublicKey = 0000002ce6f5076ed0a70b72f5c97a7f47e280bb8817d1d15ecad5ee1b60bb4ce5f62a7eca04f372d48a0005a405cba70f77c16d839641d6df2afde43a8c1e02d83f9092 -Signature = 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Params = SHAKE256_40/4_256 Msg = 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Params = SHAKE256_40/8_192 Msg = -PublicKey = 00000035a76e0a51bc20ddd32bf097b20f06433c712f3dc30a454bffae8e7d439ea0ac587ed9be49e03b1ce9780b36f2aca9bdfa -Signature = 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Params = SHAKE256_40/8_192 Msg = 01020304 -PublicKey = 00000035d0216257e9b7c8cddcd1af6c09e859168d395401ce266824e64c0a9c0d6f1da9e071dcc853a848f0e776bbfbce376a3a -Signature = 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Params = SHAKE256_40/8_192 Msg = 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Params = SHAKE256_40/8_256 Msg = -PublicKey = 0000002d1ca079eb805701f52e2cc1bc7fbbcf5951f315ef8cc6418a254ccec1f01fddaf6652df319fa6c18b4a14889c97400040df2b80bccd2af00621c0209d7fea7ed5 -Signature = 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Params = SHAKE256_40/8_256 Msg = 01020304 -PublicKey = 0000002d437acd0624ba11711ebe0319fc0cd05215544e9cd2316baaca906e317344d36673cd07eb070ef92c5e5b61112a728b6079831f51e8c21abb2a2819cbb54c9db4 -Signature = 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Params = SHAKE256_40/8_256 Msg = 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Params = SHAKE256_60/12_192 Msg = -PublicKey = 00000038926cc280024f67a2d937d69c0d8ce91b44360dcbce8a91697876a47401f9da104d08e718ae9d0f80bd043ca7695c0009 -Signature = 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Params = SHAKE256_60/12_192 Msg = 01020304 -PublicKey = 000000385a6c1b25201f37bb59df90a774e8631c11de4bc83ff334c42466e81c5664a1eb1bf2740cb051feb199a54b14051cf5e2 -Signature = 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Params = SHAKE256_60/12_192 Msg = 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Params = SHAKE256_60/12_256 Msg = -PublicKey = 00000030f41dcb3a60945de1d96c16e2fea4aa64e0edf993afec99bf2a68be2658f054c30e576a9940431d11af0e0cc5d1b8b710420b2c0940c916b3c206b0f8dcfac969 -Signature = 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Params = SHAKE256_60/12_256 Msg = 01020304 -PublicKey = 00000030683049864081d877f03ec6f49e1686a298b98d2416698f556d6f9f8b019c51f2fb9a9eeb2ec66a17a01aeb19bfe6fbcb905818a8504c3e37d31d7ea6b67b51de -Signature = 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Params = SHAKE256_60/12_256 Msg = 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6f06b1bdb7d610bee0272b5681fc2d880c0c265ff3a15aec200f4d191b36e0ec46c150a1b48fbede7eecb518dd69ad48f17a514f1878e6a160b53dafb3a73adb47148ccedccf63613fcaf94c27d6e3c510efbb96d56465f12b82507da0a87fe94757dbbd06b52bdd9963a3b0af02db2d41171e479f426662dceef41304a8122eef7c93f055e21c7be204bfdc23642bf5b62835589b7fc5d4eaba5647dc4264818afa86eef2b71d362b4cdb804c823676b96792243e1fee1c1458c9cb Params = SHAKE256_60/6_192 Msg = -PublicKey = 00000037651a7c1fa7ee5467b6ddb6fd2557c31de4f956b4666b19a41a3190dc68297169e3eb585732c2371b761330f252f8cde0 -Signature = 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Params = SHAKE256_60/6_192 Msg = 01020304 -PublicKey = 00000037f6eee825e9f254f74e20fd6f27950fc098d2841a01f2992e7145f074c779536e4b3bf608bfe4d74e555f8a3f00989674 -Signature = 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Params = SHAKE256_60/6_192 Msg = 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Params = SHAKE256_60/6_256 Msg = -PublicKey = 0000002f652546ae65d111b70d1c808dfce1ff451f0e279005d5d1f647085a18a7af1387b18a34261481850045a6bd498bb6308a6dda278295e4d1776974c541c85427c5 -Signature = 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Params = SHAKE256_60/6_256 Msg = 01020304 -PublicKey = 0000002fba3ed2dfc13f73752962a2f955ca85495813b90779aa07465e197d3757be7c3db46f47dcaadb05f69d1a2491f063bf21f45829f4e1ef3a5f470190c033bcc591 -Signature = 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Params = SHAKE256_60/6_256 Msg = 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-PublicKey = 0000002f39eef87b8a8706197adc26c767fef4d7c2aaf1b63d5cde9f6a3a1723a8188b33c8cc68b54b8fdb73096cc5bb6b1b2c3972f52bc7396c624f1cc989bf0fca98d0 -Signature = 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Params = SHAKE_20/2_256 Msg = -PublicKey = 000000116ea809e17143fe72883a8a46458029209f1a1b77c0aa9b03b4468e1115b3bb80a882c63e7ef94dfdd245354afa1855fa04ac276302bbe6f71c984d3b593f9cbc -Signature = 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Params = SHAKE_20/2_256 Msg = 01020304 -PublicKey = 00000011c79486eb9b1d75ab64ee72043e033c3e1bbd0ad628488c9ae93e3976327702b16b07b1555f746991706a3a3000df453583bb2c5ddc3101d4e12269c0f1893c74 -Signature = 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Params = SHAKE_20/2_256 Msg = 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Params = SHAKE_20/2_512 Msg = -PublicKey = 0000001935571a309a3b69df40547b28dd74d367c64fe333e10be6e8632d8474473b47a9826a93e362e69244a184cb64700366001b786eb7956d61d2b81879e83c9177044d2583a9c26895a4c00abe7706c6743404e690bb8f4579194172d03f6e0e05dfbc729d85a3a0ca4e0585c1733bc1ae8e747967e2c3e9ba72db378b4c6fbd5fd2 -Signature = 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Params = SHAKE_20/2_512 Msg = 01020304 -PublicKey = 00000019e06971b7102e24ac23c15b87440100304609ace87dac23e971a2354e5cbda430ed1b09285f7070ae6eca57e52ebb37bcac8fb39c87e0913543a76ae54b3bcdecebb9c20c11094ecaeae67989f90509d27e09b59e462150b632285c9011d6b1029bf6938916134443a669ad588344481cb9be1fea78a634cba39284c955e697d9 -Signature = 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Params = SHAKE_20/2_512 Msg = 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Params = SHAKE_20/4_256 Msg = -PublicKey = 0000001225a0eb8ca616d3babb83ba8e501193d43a92f2828afad0e300122e77fe3116f2b5a03a9fd2a7883e354d31f8956a21046e85c5188b7c0259bb32b0543df7c877 -Signature = 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Params = SHAKE_20/4_256 Msg = 01020304 -PublicKey = 000000120fc132e03d2971050607ec29721e437ed8f17484a44b42d7a611f4c384d0b65af44d3b3e4ef39df9efa4ce3379cd239d7b2af33b6f47879dd92b1a07053b6ea0 -Signature = 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Params = SHAKE_20/4_256 Msg = 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Params = SHAKE_20/4_512 Msg = -PublicKey = 0000001a173e9b9055ff7ed777006357867ec84f33f142f37e1b12a73081146c001762c8a6a677589e185da50a9e80b8aa46147ba0c8f8a8a16b0ee1d7e6093b7b508ba54d0573ec59f192ebaa358d2e9cde9b8a7a23da687816d44eb973bfe0027b88f7fa1b35e6a9104fa1b7eb8dafdc5ec96891f3e08ad8c7d906cf319bbd11ed7cf0 -Signature = 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Params = SHAKE_20/4_512 Msg = 01020304 -PublicKey = 0000001ade542962f381012514ffd592b44cc8ddaf4832dae448ab4bb27f7ddcd4fdd78358d44e24fead9c3416e86339d9acdc885cc7acdfea3f71b3bd85f86dcfda778a303e7cfae2c79f30b6960477c9aa157856077b2471b1784216f48b5eae2376b8b409f6b3a23aeed28d64320f4baf798c0a8455ec6edf08abee63a2d6b29ffd4f -Signature = 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Params = SHAKE_20/4_512 Msg = 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Params = SHAKE_40/4_256 Msg = -PublicKey = 00000014aac6c67c06b30b12473a16850659a5137c54caf143fac07f73370e123067e8ac4c1ddf05caa6e6fd05f80ba7b43aa25d6e95986d50a5c40b939b6fcd54dc53e2 -Signature = 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Params = SHAKE_40/4_256 Msg = 01020304 -PublicKey = 000000142a1e47b686408e51cfd3bbc7a2561cb37282e2b8e39352c9143cb9affe2bf3b52e0a6f7df77ee8dd1679e65b7c0e16d011f895798c4e2089e67a9b1b5216049c -Signature = 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Params = SHAKE_40/4_256 Msg = 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Params = SHAKE_40/4_512 Msg = -PublicKey = 0000001cdd66d92dc5a96135ebad0c8372a24c8d1b4aaa048613c5ddddd50c45ac83ab3f67feaa6e1521bb7aafa6675e66ddf58969344d762d64cc6a4a079cf15933d61cd0f9218515e69ca9a661dbf526556cac065991de7991ff705105e934c9b60fd5ab94847fc9a5a49635cfd20de855ba4c49e4022d8baea1b0c0922db0c23163d8 -Signature = 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Params = SHAKE_40/4_512 Msg = 01020304 -PublicKey = 0000001c89cfa9409a455ce93c93ef58d7171619ab82fe14d69d43b80491746b0acd5a50ccb8dec6cd2862230097944bf4d81215196721ad7fa86d7a2941011c4619e6470b0fec2f3b3afecab212ae79eccf31b50b76a365f25b135865b8f555b9ea90c4ac2183fa077c35697f19b64b3b4c8c8b4a17988b5eebe1f08046d59ccf8c579a -Signature = 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Params = SHAKE_40/4_512 Msg = 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Params = SHAKE_40/8_256 Msg = -PublicKey = 00000015e40cfbbf0ee604679c5b25d883158df6d32576c6fea54135f1d3a3f33c947dd5b0e24d82ffe8cd5fcdb1b766e61c3c09f8b4d503e85977f833925488cd7c40eb -Signature = 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Params = SHAKE_40/8_256 Msg = 01020304 -PublicKey = 00000015ac541ede255154837fcb767207d2368bab7384ff6467600d2981810068f76a0823d950585cbda84c329a86cb933fca3a97580ab5efd0e705b4ebab9dc6b62bef -Signature = 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Params = SHAKE_40/8_256 Msg = 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Params = SHAKE_40/8_512 Msg = -PublicKey = 0000001ddca0b7b691b8c7fd5fa6aca67a9cb266eda9b3df541fa88b070e9ba9ce8e25a36f821925ed2dc74a87aae46c749b3f66ffe2779fc0fba3c09079b8338251d765780e25c8cf07ca6219b1be8f863822c783025a1be0db6de36ba1d0ee536ad4f6cbab8c3659b3c940a1dc946dc5e9b7476ca34e8dadbe5319ad84261518a5652f -Signature = 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Params = SHAKE_40/8_512 Msg = 01020304 -PublicKey = 0000001de3ebc67b5c57feec18bfe0e2c0fad929c6a809bdcf3dca00777c0a1473094f0656db55c6a365b3f1ebde671048931d289944255cf2ef1c362411004d4f80f636775a8c551ee9960f5d1535ca34aaf6134f3a0d61e1f33f7174fa0d0284690ae48bbed3aa050d3447d003213ecc80a21735e33e0cbfd33491a0c20a0c0c65b831 -Signature = 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Params = SHAKE_40/8_512 Msg = 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Params = SHAKE_60/12_256 Msg = -PublicKey = 000000181bf9e97bdadd4b83ea34e2d0ab61556da967608118ab8d0195591b78137faabff5069c7afd9954fc066401606ed0e9ca22f0a8eb2a30b02f2d942121b4a4bdd2 -Signature = 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Params = SHAKE_60/12_256 Msg = 01020304 -PublicKey = 000000185fec01f22b3e2009f9e7d76368c2c6f624b3a56fdfdb5d9f00b162e307e6cfa288641c9b0eb5a2718cc1debd138935b5d7c3703dfa6371e0b7b1f274260ed941 -Signature = 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06b1f0f9ce7fe35496518d1b8c9f8147ceab98e9133c1544f9dfc26a2290351d7dee94d61bd2a3ab13143510e0278e523a8574fac4205ae2055de7dc7faa0a2e4cc20fee43d2fd931be2e02ae05451b55bc6ab1991b4d411d98b751eedaf3c143ea0d3b80dc7893a48d332c43784cf29c9518c0b48b7f42ed61dac4e5745c5e2acd58b3f457ad6f80f27f88414042eb9cd3e67a64600a69a8ea73854cea3eb312000ec1ba72ba4f1664d2176bf90addecfb3b2eec71fc27b2632497c Params = SHAKE_60/12_256 Msg = 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-PublicKey = 00000018e0a956cd6de59353964a349b4bf4b9a22ca8d4ac29054becb25625f87f54c3ff23e98f2305e58edab39cdd1f8f57cf0b2106e03f8c2faf11239f1cc4d4b0f8cc -Signature = 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f306b8db72e05e9fc87f900a13ac0f4a15698ff94ff3e7e2e127bd84e92bd6dd82199a12a545c04501303637d669c97b3fa6ed0d087cf0fd178ae0df02253b25fdca18695b4af9656e79c2143a3b74fcbecc3ba83fefb215f0473b1edc05f262b5f8bd2aeb41e0eb7001fd493a8053c78bce216fbe2f09103665790f068e0f356a0e5cfd71aa001b7692ddb7f3f0d4d7f05a7b0bf9109dea80f705f5963ec60d6c687bad1a09efc418f4e11796f64f1ca070bd9a98bb434595f6d623 Params = SHAKE_60/12_512 Msg = -PublicKey = 000000208ab9dff2785e03f9b48fd72b6c8b7aec485e8e9819ac4ce9a6e9a56aa4a11b517cb35c926cbfa983c1e39ab94c9192af868bb25efd4e7efe747c5516215f38e8410707581dcb09f4ccfa4a3e02f5737ab266422655de3f1694cbaa32bd49228633ee76f5efbccfaec8ffba30a5c609ae4c3bfe21ecb140d4593e855ad9a82f6c -Signature = 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Params = SHAKE_60/12_512 Msg = 01020304 -PublicKey = 00000020128ee2ff56c4802d0016a25f023db7b3998f8c47a37ebec24e03da75be5b5067366d9660ff86f343ee5b32a44f5964d79ad3ff3a3130fd8f26ca7d751a7113fb8cd3035f289ad461f67db0d1c3c14f930d20b5516f8a93170f5fcd79ada9553b8268f3cebe1d1211ffe97e53c7bdb7e9114e8b138483be66c2d1f39594a39bdc -Signature = 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Params = SHAKE_60/12_512 Msg = 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Params = SHAKE_60/6_256 Msg = -PublicKey = 000000175bc4755b801e0f43945bfaf13fed05ed14ed98d1b58681eca97de4ffe8b767c42b83ea2d9e6bbc64547272fe0dbc402e2d0cbd6c8d333539a365ff2e4e1f5433 -Signature = 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Params = SHAKE_60/6_256 Msg = 01020304 -PublicKey = 0000001765d419b2bb875b2e8131721965a6ed497dc36fd20e373823bf69523a2f5c29a059f8227750d610bcf4d03613594955609b981c1a49cf820c5708da16db491406 -Signature = 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Params = SHAKE_60/6_256 Msg = 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Params = SHAKE_60/6_512 Msg = -PublicKey = 0000001f5b5c0c9fcbed461310a032b0c4ba7a775dab3dd057fd712a3e95fb07adfd71137edc0bc8f16159f809886e170255bcbe01eab5d0c6156e5c0af4dadb4969939a512ce920c53dd81afd0d4c7031f859bec98471a8a736bf5e6b5e2d6a716b2ecb112cc76fdd4be1dc0edda2ecfbc13b167fb40a45a25fea6959a46a12716908ec -Signature = 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Params = SHAKE_60/6_512 Msg = 01020304 -PublicKey = 0000001f88986af54b7ccdaaf2be0200191072d0773c53e28d40975fdb0c634e1869037b6506cfec7754aaf6aef475350949d18ef2d391b0246b20dac66f26b45b041b61fdfc9b8a4a073e0aabb05ad40ab758ff9685e832b27209eb455c56e9a142e54d687ea97fbb96f2d06187e9e6060dece8d2852f21e5b225dc46c838b6798d6254 -Signature = 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Params = SHAKE_60/6_512 Msg = 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- -###################################################### -# Test various leaf indices for XMSSMT-SHA2_20/4_256 # -###################################################### - -# leaf idx = 1023 -Params = SHA2_20/4_256 -Msg = -PublicKey = 00000002ade3aa5cc62f8f7a8f5c4005ea5b6c05176d334aaa320e52426a76b4edf6ca7263add5dd6258cfbdbd943ec650d06e476fd920a5a39bd8caeaf363d8d9f2a188 -Signature = 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- -# leaf idx = 1024 -Params = SHA2_20/4_256 -Msg = -PublicKey = 00000002ade3aa5cc62f8f7a8f5c4005ea5b6c05176d334aaa320e52426a76b4edf6ca7263add5dd6258cfbdbd943ec650d06e476fd920a5a39bd8caeaf363d8d9f2a188 -Signature = 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- -# leaf idx = 2^15 + 1 -Params = SHA2_20/4_256 -Msg = -PublicKey = 00000002ade3aa5cc62f8f7a8f5c4005ea5b6c05176d334aaa320e52426a76b4edf6ca7263add5dd6258cfbdbd943ec650d06e476fd920a5a39bd8caeaf363d8d9f2a188 -Signature = 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diff --git a/src/tests/test_xmssmt.cpp b/src/tests/test_xmssmt.cpp index 55303c413d7..7354f5a1452 100644 --- a/src/tests/test_xmssmt.cpp +++ b/src/tests/test_xmssmt.cpp @@ -188,12 +188,13 @@ std::vector xmssmt_statefulness() { CHECK("state can become exhausted", [&](auto& result) { const auto skbytes = Botan::hex_decode( - "00000002" - "1ffb7a0511d1f733f52918e21960f1c6c0386e79c65aeaad8e6883382cf56ec7" - "9bcd386b92deae42b7aee30bc28ed5a9acd1cd23d0d2ad761f654b82176f7def" - "0fffff" // 2^20-1 - "69a2ad2eed76ca2dc4969d91dbd6e63bdbe23cc6032575b0a7158eca8b36be0d" - "89781cdf4762d69c796ed711efdc10371405be818ffb69f2c76dc094df4f46a6"); + "048187" // OCTET STRING tag+len + "00000002" // oid + "1ffb7a0511d1f733f52918e21960f1c6c0386e79c65aeaad8e6883382cf56ec7" // root + "9bcd386b92deae42b7aee30bc28ed5a9acd1cd23d0d2ad761f654b82176f7def" // pub seed + "0fffff" // leaf idx 2^20-1 + "69a2ad2eed76ca2dc4969d91dbd6e63bdbe23cc6032575b0a7158eca8b36be0d" // PRF + "89781cdf4762d69c796ed711efdc10371405be818ffb69f2c76dc094df4f46a6"); // private seed Botan::XMSSMT_PrivateKey sk(skbytes); result.test_opt_u64_eq("allow one last signature", sk.remaining_operations(), 1); From 7078f510414789689177dd63998ce4657b842193 Mon Sep 17 00:00:00 2001 From: Johannes Roth Date: Thu, 26 Feb 2026 17:30:52 +0100 Subject: [PATCH 3/9] use delegating constructor for XMSS^MT privkey to avoid too much unnecessary copying --- src/lib/pubkey/xmssmt/xmssmt.h | 9 +++ src/lib/pubkey/xmssmt/xmssmt_privatekey.cpp | 58 ++++++++----------- .../xmss_test_vector_from_reference.py | 2 +- 3 files changed, 35 insertions(+), 34 deletions(-) diff --git a/src/lib/pubkey/xmssmt/xmssmt.h b/src/lib/pubkey/xmssmt/xmssmt.h index 550ec1f9189..91c5ee2ad08 100644 --- a/src/lib/pubkey/xmssmt/xmssmt.h +++ b/src/lib/pubkey/xmssmt/xmssmt.h @@ -218,6 +218,15 @@ class BOTAN_PUBLIC_API(3, 12) XMSSMT_PrivateKey final : public virtual XMSSMT_Pu XMSS_Hash& hash) const; std::shared_ptr m_private; + + struct XMSSMT_Pubkey_Parts { + XMSSMT_Parameters::xmssmt_algorithm_t oid{}; + secure_vector root; + secure_vector public_seed; + }; + + XMSSMT_PrivateKey(XMSSMT_Pubkey_Parts parsed_pub, std::span key_bits); + static XMSSMT_Pubkey_Parts parse_pubkey_parts(std::span key_bits); }; BOTAN_DIAGNOSTIC_POP diff --git a/src/lib/pubkey/xmssmt/xmssmt_privatekey.cpp b/src/lib/pubkey/xmssmt/xmssmt_privatekey.cpp index dbe479572a9..84f9749756b 100644 --- a/src/lib/pubkey/xmssmt/xmssmt_privatekey.cpp +++ b/src/lib/pubkey/xmssmt/xmssmt_privatekey.cpp @@ -31,38 +31,6 @@ secure_vector extract_raw_private_key(std::span key_bits BER_Decoder(key_bits).decode(raw_key, ASN1_Type::OctetString).verify_end(); return raw_key; } - -XMSSMT_Parameters::xmssmt_algorithm_t oid_from_priv(std::span key_bits) { - const secure_vector raw_key = extract_raw_private_key(key_bits); - if(raw_key.size() < 4) { - throw Decoding_Error("XMSS^MT signature OID missing."); - } - return XMSSMT_Parameters::parse_oid({raw_key.data(), 4}); -} - -secure_vector root_from_priv(std::span key_bits) { - const XMSSMT_Parameters params = XMSSMT_Parameters(oid_from_priv(key_bits)); - const secure_vector raw_key = extract_raw_private_key(key_bits); - if(raw_key.size() < params.raw_public_key_size()) { - throw Decoding_Error("XMSS^MT private key too short"); - } - - BufferSlicer s(raw_key); - s.skip(4); // oid - return s.copy_as_secure_vector(params.element_size()); -} - -secure_vector public_seed_from_priv(std::span key_bits) { - const XMSSMT_Parameters params = XMSSMT_Parameters(oid_from_priv(key_bits)); - const secure_vector raw_key = extract_raw_private_key(key_bits); - if(raw_key.size() < params.raw_public_key_size()) { - throw Decoding_Error("XMSS^MT private key too short"); - } - BufferSlicer s(raw_key); - s.skip(4); // oid - s.skip(params.element_size()); // root - return s.copy_as_secure_vector(params.element_size()); -} } // namespace class XMSSMT_PrivateKey_Internal { @@ -178,8 +146,32 @@ class XMSSMT_PrivateKey_Internal { Stateful_Key_Index_Registry::KeyId m_keyid; }; +XMSSMT_PrivateKey::XMSSMT_Pubkey_Parts XMSSMT_PrivateKey::parse_pubkey_parts(std::span key_bits) { + XMSSMT_PrivateKey::XMSSMT_Pubkey_Parts parts; + + const secure_vector raw_key = extract_raw_private_key(key_bits); + BufferSlicer s(raw_key); + if(raw_key.size() < 4) { + throw Decoding_Error("XMSS^MT signature OID missing."); + } + parts.oid = XMSSMT_Parameters::parse_oid(s.take(4)); + + const XMSSMT_Parameters params = XMSSMT_Parameters(parts.oid); + if(raw_key.size() < params.raw_public_key_size()) { + throw Decoding_Error("XMSS^MT private key too short"); + } + + parts.root = s.copy_as_secure_vector(params.element_size()); + parts.public_seed = s.copy_as_secure_vector(params.element_size()); + + return parts; +} + XMSSMT_PrivateKey::XMSSMT_PrivateKey(std::span key_bits) : - XMSSMT_PublicKey(oid_from_priv(key_bits), root_from_priv(key_bits), public_seed_from_priv(key_bits)), + XMSSMT_PrivateKey(parse_pubkey_parts(key_bits), key_bits) {} + +XMSSMT_PrivateKey::XMSSMT_PrivateKey(XMSSMT_Pubkey_Parts parsed, std::span key_bits) : + XMSSMT_PublicKey(parsed.oid, std::move(parsed.root), std::move(parsed.public_seed)), m_private(std::make_shared(m_xmssmt_params, m_wots_params, key_bits)) {} XMSSMT_PrivateKey::XMSSMT_PrivateKey(XMSSMT_Parameters::xmssmt_algorithm_t xmssmt_algo_id, RandomNumberGenerator& rng) : diff --git a/src/scripts/dev_tools/xmss_test_vector_from_reference.py b/src/scripts/dev_tools/xmss_test_vector_from_reference.py index ec219799529..8149ce1646e 100755 --- a/src/scripts/dev_tools/xmss_test_vector_from_reference.py +++ b/src/scripts/dev_tools/xmss_test_vector_from_reference.py @@ -198,7 +198,7 @@ def print_usage(): print_usage() sys.exit(1) -if not sys.argv[2] in ['octet_string', 'raw']: +if sys.argv[2] not in ['octet_string', 'raw']: print_usage() sys.exit(1) From 9842ec8fd2215ff0960676c05c79a76286f60c6a Mon Sep 17 00:00:00 2001 From: Johannes Roth Date: Tue, 31 Mar 2026 10:21:02 +0200 Subject: [PATCH 4/9] make XMSS/XMSSMT constructor that is only used internally by the PviateKey class protected --- src/lib/pubkey/xmss/xmss.h | 27 ++++++++++++++++----------- src/lib/pubkey/xmssmt/xmssmt.h | 28 +++++++++++++++++----------- 2 files changed, 33 insertions(+), 22 deletions(-) diff --git a/src/lib/pubkey/xmss/xmss.h b/src/lib/pubkey/xmss/xmss.h index 6ce105be3c3..57b51956fc7 100644 --- a/src/lib/pubkey/xmss/xmss.h +++ b/src/lib/pubkey/xmss/xmss.h @@ -34,17 +34,6 @@ class XMSS_WOTS_PrivateKey; **/ class BOTAN_PUBLIC_API(2, 0) XMSS_PublicKey : public virtual Public_Key { public: - /** - * Creates a new XMSS public key for the chosen XMSS signature method. - * New public and prf seeds are generated using rng. The appropriate WOTS - * signature method will be automatically set based on the chosen XMSS - * signature method. - * - * @param xmss_oid Identifier for the selected XMSS signature method. - * @param rng A random number generator to use for key generation. - **/ - XMSS_PublicKey(XMSS_Parameters::xmss_algorithm_t xmss_oid, RandomNumberGenerator& rng); - /** * Loads a public key. * @@ -109,6 +98,22 @@ class BOTAN_PUBLIC_API(2, 0) XMSS_PublicKey : public virtual Public_Key { std::string_view provider) const override; protected: + /** + * Creates a new XMSS public key for the chosen XMSS signature method. + * New public and prf seeds are generated using rng. The appropriate WOTS + * signature method will be automatically set based on the chosen XMSS + * signature method. + * + * This is the matching PublicKey constructor for + * `XMSS_PrivateKey(XMSS_Parameters::xmss_algorithm_t, RandomNumberGenerator&, WOTS_Derivation_Method)` + * and is be called to generate the public seed. + * It should not be called in other contexts. + * + * @param xmss_oid Identifier for the selected XMSS signature method. + * @param rng A random number generator to use for key generation. + **/ + XMSS_PublicKey(XMSS_Parameters::xmss_algorithm_t xmss_oid, RandomNumberGenerator& rng); + friend class XMSS_Verification_Operation; const secure_vector& public_seed() const { return m_public_seed; } diff --git a/src/lib/pubkey/xmssmt/xmssmt.h b/src/lib/pubkey/xmssmt/xmssmt.h index 91c5ee2ad08..6ed0d753586 100644 --- a/src/lib/pubkey/xmssmt/xmssmt.h +++ b/src/lib/pubkey/xmssmt/xmssmt.h @@ -26,17 +26,6 @@ class XMSS_WOTS_PrivateKey; class BOTAN_PUBLIC_API(3, 12) XMSSMT_PublicKey : public virtual Public_Key { public: - /** - * Creates a new XMSS^MT public key for the chosen XMSS^MT signature method. - * New public and prf seeds are generated using rng. The appropriate WOTS - * signature method will be automatically set based on the chosen XMSS - * signature method. - * - * @param xmssmt_oid Identifier for the selected XMSS^MT signature method. - * @param rng A random number generator to use for key generation. - **/ - XMSSMT_PublicKey(XMSSMT_Parameters::xmssmt_algorithm_t xmssmt_oid, RandomNumberGenerator& rng); - /** * Loads a public key. * @@ -107,6 +96,23 @@ class BOTAN_PUBLIC_API(3, 12) XMSSMT_PublicKey : public virtual Public_Key { const XMSSMT_Parameters& xmssmt_parameters() const { return m_xmssmt_params; } + protected: + /** + * Creates a new XMSS^MT public key for the chosen XMSS^MT signature method. + * New public and prf seeds are generated using rng. The appropriate WOTS + * signature method will be automatically set based on the chosen XMSS + * signature method. + * + * This is the matching PublicKey constructor for + * `XMSSMT_PrivateKey(XMSSMT_Parameters::xmssmt_algorithm_t, RandomNumberGenerator&)` + * and is be called to generate the public seed. + * It should not be called in other contexts. + * + * @param xmssmt_oid Identifier for the selected XMSS^MT signature method. + * @param rng A random number generator to use for key generation. + **/ + XMSSMT_PublicKey(XMSSMT_Parameters::xmssmt_algorithm_t xmssmt_oid, RandomNumberGenerator& rng); + protected: std::vector m_raw_key; // NOLINT(*non-private-member-variable*) XMSSMT_Parameters m_xmssmt_params; // NOLINT(*non-private-member-variable*) From b66278ba6cd89c5453719d2f32cc8b2c37428962 Mon Sep 17 00:00:00 2001 From: Johannes Roth Date: Fri, 17 Apr 2026 16:20:39 +0200 Subject: [PATCH 5/9] add CT::poison/unpoison calls to XMSS and XMSS^MT --- src/lib/pubkey/xmss/xmss_privatekey.cpp | 13 +++++++++++-- src/lib/pubkey/xmss/xmss_signature_operation.cpp | 2 ++ src/lib/pubkey/xmss/xmss_wots.cpp | 12 ++++++++++++ src/lib/pubkey/xmssmt/xmssmt_privatekey.cpp | 13 +++++++++++-- .../pubkey/xmssmt/xmssmt_signature_operation.cpp | 2 ++ 5 files changed, 38 insertions(+), 4 deletions(-) diff --git a/src/lib/pubkey/xmss/xmss_privatekey.cpp b/src/lib/pubkey/xmss/xmss_privatekey.cpp index 956b64a09cf..b2c11848239 100644 --- a/src/lib/pubkey/xmss/xmss_privatekey.cpp +++ b/src/lib/pubkey/xmss/xmss_privatekey.cpp @@ -23,6 +23,7 @@ #include #include #include +#include #include #include #include @@ -67,7 +68,10 @@ class XMSS_PrivateKey_Internal { m_wots_derivation_method(wots_derivation_method), m_prf(rng.random_vec(xmss_params.element_size())), m_private_seed(rng.random_vec(xmss_params.element_size())), - m_keyid(Stateful_Key_Index_Registry::KeyId("XMSS", m_xmss_params.oid(), m_private_seed, m_prf)) {} + m_keyid(Stateful_Key_Index_Registry::KeyId("XMSS", m_xmss_params.oid(), m_private_seed, m_prf)) { + CT::poison(m_prf); + CT::poison(m_private_seed); + } XMSS_PrivateKey_Internal(const XMSS_Parameters& xmss_params, const XMSS_WOTS_Parameters& wots_params, @@ -79,7 +83,10 @@ class XMSS_PrivateKey_Internal { m_wots_derivation_method(wots_derivation_method), m_prf(std::move(prf)), m_private_seed(std::move(private_seed)), - m_keyid(Stateful_Key_Index_Registry::KeyId("XMSS", m_xmss_params.oid(), m_private_seed, m_prf)) {} + m_keyid(Stateful_Key_Index_Registry::KeyId("XMSS", m_xmss_params.oid(), m_private_seed, m_prf)) { + CT::poison(m_prf); + CT::poison(m_private_seed); + } XMSS_PrivateKey_Internal(const XMSS_Parameters& xmss_params, const XMSS_WOTS_Parameters& wots_params, @@ -126,6 +133,8 @@ class XMSS_PrivateKey_Internal { m_wots_derivation_method = (s.empty()) ? WOTS_Derivation_Method::Botan2x : static_cast(s.take(1).front()); + CT::poison(m_prf); + CT::poison(m_private_seed); BOTAN_ASSERT_NOMSG(s.empty()); } diff --git a/src/lib/pubkey/xmss/xmss_signature_operation.cpp b/src/lib/pubkey/xmss/xmss_signature_operation.cpp index 4da0763435b..e90ade36072 100644 --- a/src/lib/pubkey/xmss/xmss_signature_operation.cpp +++ b/src/lib/pubkey/xmss/xmss_signature_operation.cpp @@ -16,6 +16,7 @@ #include +#include #include #include @@ -82,6 +83,7 @@ void XMSS_Signature_Operation::initialize() { // write prefix for message hashing into buffer. xmss_concat(index_bytes, m_leaf_idx, 32); m_hash.prf(m_randomness, m_priv_key.prf_value(), index_bytes); + CT::unpoison(m_randomness); // unpoison: randomness is public; correlation with secret value destroyed with PRF index_bytes.clear(); xmss_concat(index_bytes, m_leaf_idx, m_priv_key.xmss_parameters().element_size()); m_hash.h_msg_init(m_randomness, m_priv_key.root(), index_bytes); diff --git a/src/lib/pubkey/xmss/xmss_wots.cpp b/src/lib/pubkey/xmss/xmss_wots.cpp index d091f830245..f723693846e 100644 --- a/src/lib/pubkey/xmss/xmss_wots.cpp +++ b/src/lib/pubkey/xmss/xmss_wots.cpp @@ -14,6 +14,7 @@ #include #include +#include #include #include #include @@ -88,6 +89,12 @@ XMSS_WOTS_PublicKey::XMSS_WOTS_PublicKey(XMSS_WOTS_Parameters params, adrs.set_chain_address(static_cast(i)); chain(m_params, m_key_data[i], 0, m_params.wots_parameter() - 1, adrs, public_seed, hash); } + + // unpoison: m_key_data is derived from secret values but now public + // correlation with privkey data destroyed by hashing + for(const auto& v : m_key_data) { + CT::unpoison(std::span(v.data(), v.size())); + } } XMSS_WOTS_PublicKey::XMSS_WOTS_PublicKey(XMSS_WOTS_Parameters params, @@ -127,6 +134,11 @@ wots_keysig_t XMSS_WOTS_PrivateKey::sign(const secure_vector& msg, chain(m_params, sig[i], 0, msg_digest[i], adrs, public_seed, hash); } + // unpoison: sig is now public + for(const auto& v : sig) { + CT::unpoison(std::span(v.data(), v.size())); + } + return sig; } diff --git a/src/lib/pubkey/xmssmt/xmssmt_privatekey.cpp b/src/lib/pubkey/xmssmt/xmssmt_privatekey.cpp index 84f9749756b..6c080587b46 100644 --- a/src/lib/pubkey/xmssmt/xmssmt_privatekey.cpp +++ b/src/lib/pubkey/xmssmt/xmssmt_privatekey.cpp @@ -12,6 +12,7 @@ #include #include #include +#include #include #include #include @@ -43,7 +44,10 @@ class XMSSMT_PrivateKey_Internal { m_hash(m_xmssmt_params.hash_function_name(), m_xmssmt_params.hash_id_size()), m_prf(rng.random_vec(xmssmt_params.element_size())), m_private_seed(rng.random_vec(xmssmt_params.element_size())), - m_keyid(Stateful_Key_Index_Registry::KeyId("XMSSMT", m_xmssmt_params.oid(), m_private_seed, m_prf)) {} + m_keyid(Stateful_Key_Index_Registry::KeyId("XMSSMT", m_xmssmt_params.oid(), m_private_seed, m_prf)) { + CT::poison(m_prf); + CT::poison(m_private_seed); + } XMSSMT_PrivateKey_Internal(const XMSSMT_Parameters& xmssmt_params, const XMSS_WOTS_Parameters& wots_params, @@ -54,7 +58,10 @@ class XMSSMT_PrivateKey_Internal { m_hash(m_xmssmt_params.hash_function_name(), m_xmssmt_params.hash_id_size()), m_prf(std::move(prf)), m_private_seed(std::move(private_seed)), - m_keyid(Stateful_Key_Index_Registry::KeyId("XMSSMT", m_xmssmt_params.oid(), m_private_seed, m_prf)) {} + m_keyid(Stateful_Key_Index_Registry::KeyId("XMSSMT", m_xmssmt_params.oid(), m_private_seed, m_prf)) { + CT::poison(m_prf); + CT::poison(m_private_seed); + } XMSSMT_PrivateKey_Internal(const XMSSMT_Parameters& xmssmt_params, const XMSS_WOTS_Parameters& wots_params, @@ -90,6 +97,8 @@ class XMSSMT_PrivateKey_Internal { // Note m_keyid must be initialized before set_unused_leaf_index is called! set_unused_leaf_index(unused_leaf); + CT::poison(m_prf); + CT::poison(m_private_seed); BOTAN_ASSERT_NOMSG(s.empty()); } diff --git a/src/lib/pubkey/xmssmt/xmssmt_signature_operation.cpp b/src/lib/pubkey/xmssmt/xmssmt_signature_operation.cpp index 7fefcf20bd8..2353204b6a5 100644 --- a/src/lib/pubkey/xmssmt/xmssmt_signature_operation.cpp +++ b/src/lib/pubkey/xmssmt/xmssmt_signature_operation.cpp @@ -15,6 +15,7 @@ #include +#include #include namespace Botan { @@ -126,6 +127,7 @@ void XMSSMT_Signature_Operation::initialize() { // write prefix for message hashing into buffer. xmss_concat(index_bytes, m_leaf_idx, 32); m_hash.prf(m_randomness, m_priv_key.prf_value(), index_bytes); + CT::unpoison(m_randomness); // unpoison: randomness is public; correlation with secret value destroyed with PRF index_bytes.clear(); xmss_concat(index_bytes, m_leaf_idx, m_priv_key.xmssmt_parameters().element_size()); m_hash.h_msg_init(m_randomness, m_priv_key.root(), index_bytes); From 0906d721208bd61f34b9a32a36861f7adb161bd1 Mon Sep 17 00:00:00 2001 From: Johannes Roth Date: Thu, 30 Apr 2026 09:41:52 +0200 Subject: [PATCH 6/9] add XMSS^MT to FIPS140 policy --- src/build-data/policy/fips140.txt | 1 + 1 file changed, 1 insertion(+) diff --git a/src/build-data/policy/fips140.txt b/src/build-data/policy/fips140.txt index 67629ba1caf..93529c9c646 100644 --- a/src/build-data/policy/fips140.txt +++ b/src/build-data/policy/fips140.txt @@ -163,6 +163,7 @@ frodokem frodokem_aes frodokem_common xmss +xmssmt sm2 # pk_pad From d570c338081f5e6250ee0f0a2e158cd34c56228b Mon Sep 17 00:00:00 2001 From: Johannes Roth Date: Fri, 12 Jun 2026 09:45:03 +0200 Subject: [PATCH 7/9] fix typos in comments for xmssmt --- src/lib/pubkey/xmssmt/xmssmt.h | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/src/lib/pubkey/xmssmt/xmssmt.h b/src/lib/pubkey/xmssmt/xmssmt.h index 6ed0d753586..2a6735b776f 100644 --- a/src/lib/pubkey/xmssmt/xmssmt.h +++ b/src/lib/pubkey/xmssmt/xmssmt.h @@ -129,8 +129,8 @@ class Atomic; */ /** - * An XMSS: Extended Hash-Based Signature private key. - * The XMSS private key does not support the X509 and PKCS7 standard. Instead + * An XMSS^MT: Extended Hash-Based Signature private key. + * The XMSS^MT private key does not support the X509 and PKCS7 standard. Instead * the raw format described in [1] is used. * * [1] XMSS: Extended Hash-Based Signatures, @@ -204,7 +204,7 @@ class BOTAN_PUBLIC_API(3, 12) XMSSMT_PrivateKey final : public virtual XMSSMT_Pu * * @return byte sequence consisting of the following elements in order: * 4-byte OID, n-byte root node, n-byte public seed, - * 8-byte unused leaf index, n-byte prf seed, n-byte private seed. + * ceil(h/8) unused leaf index, n-byte prf seed, n-byte private seed. **/ secure_vector raw_private_key() const; From 4ec5ffe341b1e628294c3864bd1e3bd7ae086ef2 Mon Sep 17 00:00:00 2001 From: Falko Strenzke Date: Tue, 23 Jun 2026 12:02:36 +0200 Subject: [PATCH 8/9] add rfc9802 OID and cert test --- src/build-data/oids.txt | 5 +- src/lib/asn1/static_oids.cpp | 14 ++- src/lib/pubkey/pk_algs.cpp | 2 +- src/lib/pubkey/xmss/xmss_publickey.cpp | 4 +- src/lib/pubkey/xmssmt/xmssmt.h | 4 +- src/lib/pubkey/xmssmt/xmssmt_publickey.cpp | 20 +++- src/tests/data/x509/xmss/xmss-rfc9802.pem | 63 +++++++++++ src/tests/data/x509/xmss/xmssmt-rfc9802.pem | 115 ++++++++++++++++++++ src/tests/test_x509_path.cpp | 7 +- 9 files changed, 222 insertions(+), 12 deletions(-) create mode 100644 src/tests/data/x509/xmss/xmss-rfc9802.pem create mode 100644 src/tests/data/x509/xmss/xmssmt-rfc9802.pem diff --git a/src/build-data/oids.txt b/src/build-data/oids.txt index 5314130c616..2872285f9c1 100644 --- a/src/build-data/oids.txt +++ b/src/build-data/oids.txt @@ -127,7 +127,10 @@ 1.3.6.1.4.1.25258.1.8 = XMSS-draft12 # draft-vangeest-x509-hash-sigs-03 0.4.0.127.0.15.1.1.13.0 = XMSS -0.4.0.127.0.15.1.1.14.0 = XMSSMT +0.4.0.127.0.15.1.1.14.0 = XMSSMT-draft-CBOR +# RFC 9802 +1.3.6.1.5.5.7.6.34 = XMSS-RFC9802 +1.3.6.1.5.5.7.6.35 = XMSSMT # X9.62 ecPublicKey, valid for ECDSA and ECDH (RFC 3279 sec 2.3.5) 1.2.840.10045.2.1 = ECDSA diff --git a/src/lib/asn1/static_oids.cpp b/src/lib/asn1/static_oids.cpp index 350708bdb22..76aff6f335c 100644 --- a/src/lib/asn1/static_oids.cpp +++ b/src/lib/asn1/static_oids.cpp @@ -1,5 +1,5 @@ /* -* This file was automatically generated by ./src/scripts/dev_tools/gen_oids.py on 2026-03-04 +* This file was automatically generated by src/scripts/dev_tools/gen_oids.py on 2026-06-23 * * All manual edits to this file will be lost. Edit the script then regenerate this source file. * @@ -209,7 +209,7 @@ std::optional OID_Map::lookup_static_oid(const OID& oid) { case 0x4266E: return if_match(oid, {0, 4, 0, 127, 0, 15, 1, 1, 13, 0}, "XMSS"); case 0x4272F: - return if_match(oid, {0, 4, 0, 127, 0, 15, 1, 1, 14, 0}, "XMSSMT"); + return if_match(oid, {0, 4, 0, 127, 0, 15, 1, 1, 14, 0}, "XMSSMT-draft-CBOR"); case 0x478C4: return if_match(oid, {1, 2, 410, 200004, 1, 4}, "SEED/CBC"); case 0x47D98: @@ -584,6 +584,10 @@ std::optional OID_Map::lookup_static_oid(const OID& oid) { return if_match(oid, {1, 3, 6, 1, 5, 5, 7, 3, 8}, "PKIX.TimeStamping"); case 0x94929: return if_match(oid, {1, 3, 6, 1, 5, 5, 7, 3, 9}, "PKIX.OCSPSigning"); + case 0x94B85: + return if_match(oid, {1, 3, 6, 1, 5, 5, 7, 6, 34}, "XMSS-RFC9802"); + case 0x94B86: + return if_match(oid, {1, 3, 6, 1, 5, 5, 7, 6, 35}, "XMSSMT"); case 0x94CEA: return if_match(oid, {1, 3, 6, 1, 5, 5, 7, 8, 5}, "PKIX.XMPPAddr"); case 0x954DB: @@ -840,6 +844,8 @@ std::optional OID_Map::lookup_static_oid_name(std::string_view req) { return if_match(req, "KeyWrap.AES-192", {2, 16, 840, 1, 101, 3, 4, 1, 25}); case 0x1D439: return if_match(req, "SphincsPlus-haraka-192f-r3.1", {1, 3, 6, 1, 4, 1, 25258, 1, 12, 3, 4}); + case 0x1F5DC: + return if_match(req, "XMSS-RFC9802", {1, 3, 6, 1, 5, 5, 7, 6, 34}); case 0x2065B: return if_match(req, "KeyWrap.CAST-128", {1, 2, 840, 113533, 7, 66, 15}); case 0x216A0: @@ -979,7 +985,7 @@ std::optional OID_Map::lookup_static_oid_name(std::string_view req) { case 0x4C513: return if_match(req, "DSA/SHA-224", {2, 16, 840, 1, 101, 3, 4, 3, 1}); case 0x4C6C6: - return if_match(req, "XMSSMT", {0, 4, 0, 127, 0, 15, 1, 1, 14, 0}); + return if_match(req, "XMSSMT", {1, 3, 6, 1, 5, 5, 7, 6, 35}); case 0x4C806: return if_match(req, "DSA/SHA-256", {2, 16, 840, 1, 101, 3, 4, 3, 2}); case 0x4D740: @@ -1282,6 +1288,8 @@ std::optional OID_Map::lookup_static_oid_name(std::string_view req) { return if_match(req, "XMSS", {0, 4, 0, 127, 0, 15, 1, 1, 13, 0}); case 0x9A6B2: return if_match(req, "ECKCDSA/SHA-1", {1, 2, 410, 200004, 1, 100, 4, 3}); + case 0x9ADFC: + return if_match(req, "XMSSMT-draft-CBOR", {0, 4, 0, 127, 0, 15, 1, 1, 14, 0}); case 0x9B1CF: return if_match(req, "SM4/SIV", {1, 3, 6, 1, 4, 1, 25258, 3, 4, 9}); case 0x9B6B2: diff --git a/src/lib/pubkey/pk_algs.cpp b/src/lib/pubkey/pk_algs.cpp index dc3dcab888a..28b2eb523ae 100644 --- a/src/lib/pubkey/pk_algs.cpp +++ b/src/lib/pubkey/pk_algs.cpp @@ -246,7 +246,7 @@ std::unique_ptr load_public_key(const AlgorithmIdentifier& alg_id, #endif #if defined(BOTAN_HAS_XMSS_RFC8391) - if(alg_name == "XMSS") { + if(alg_name == "XMSS" or alg_name == "XMSS-RFC9802") { return std::make_unique(key_bits); } #endif diff --git a/src/lib/pubkey/xmss/xmss_publickey.cpp b/src/lib/pubkey/xmss/xmss_publickey.cpp index 0deccb1af84..c6653a7513e 100644 --- a/src/lib/pubkey/xmss/xmss_publickey.cpp +++ b/src/lib/pubkey/xmss/xmss_publickey.cpp @@ -110,7 +110,9 @@ std::unique_ptr XMSS_PublicKey::create_verification_op(std std::unique_ptr XMSS_PublicKey::create_x509_verification_op(const AlgorithmIdentifier& alg_id, std::string_view provider) const { if(provider == "base" || provider.empty()) { - if(alg_id != this->algorithm_identifier()) { + if(alg_id != this->algorithm_identifier() && + alg_id != AlgorithmIdentifier("XMSS-RFC9802", AlgorithmIdentifier::Encoding_Option::USE_EMPTY_PARAM) && + alg_id != AlgorithmIdentifier("XMSS", AlgorithmIdentifier::Encoding_Option::USE_EMPTY_PARAM)) { throw Decoding_Error("Unexpected AlgorithmIdentifier for XMSS X509 signature"); } return std::make_unique(*this); diff --git a/src/lib/pubkey/xmssmt/xmssmt.h b/src/lib/pubkey/xmssmt/xmssmt.h index 2a6735b776f..d7b40286aae 100644 --- a/src/lib/pubkey/xmssmt/xmssmt.h +++ b/src/lib/pubkey/xmssmt/xmssmt.h @@ -84,8 +84,8 @@ class BOTAN_PUBLIC_API(3, 12) XMSSMT_PublicKey : public virtual Public_Key { std::unique_ptr create_verification_op(std::string_view params, std::string_view provider) const override; - // std::unique_ptr create_x509_verification_op(const AlgorithmIdentifier& alg_id, - // std::string_view provider) const override; + std::unique_ptr create_x509_verification_op(const AlgorithmIdentifier& alg_id, + std::string_view provider) const override; // protected: // friend class XMSS_Verification_Operation; diff --git a/src/lib/pubkey/xmssmt/xmssmt_publickey.cpp b/src/lib/pubkey/xmssmt/xmssmt_publickey.cpp index d291a1c9087..ceb2d294717 100644 --- a/src/lib/pubkey/xmssmt/xmssmt_publickey.cpp +++ b/src/lib/pubkey/xmssmt/xmssmt_publickey.cpp @@ -13,6 +13,7 @@ #include #include #include +#include #include #include #include @@ -29,8 +30,8 @@ XMSSMT_Parameters::xmssmt_algorithm_t deserialize_xmssmt_oid(std::span extract_raw_xmssmt_public_key(std::span key_bits) { - std::vector raw_key; - BER_Decoder(key_bits).decode(raw_key, ASN1_Type::OctetString).verify_end(); + std::vector raw_key(key_bits.begin(), key_bits.end()); + // BER_Decoder(key_bits).decode(raw_key, ASN1_Type::OctetString).verify_end(); return raw_key; } } // namespace @@ -46,7 +47,9 @@ XMSSMT_PublicKey::XMSSMT_PublicKey(std::span key_bits) : m_xmssmt_params(deserialize_xmssmt_oid(m_raw_key)), m_wots_params(m_xmssmt_params.ots_oid()) { if(m_raw_key.size() < m_xmssmt_params.raw_public_key_size()) { - throw Decoding_Error("Invalid XMSS^MT public key size detected"); + throw Decoding_Error(fmt("Invalid XMSS^MT public key size of {} bytes detected, should by {} bytes", + m_raw_key.size(), + m_xmssmt_params.raw_public_key_size())); } BufferSlicer s(m_raw_key); @@ -90,4 +93,15 @@ std::unique_ptr XMSSMT_PublicKey::create_verification_op(s throw Provider_Not_Found(algo_name(), provider); } +std::unique_ptr XMSSMT_PublicKey::create_x509_verification_op(const AlgorithmIdentifier& alg_id, + std::string_view provider) const { + if(provider.empty() || provider == "base") { + if(alg_id != this->algorithm_identifier()) { + throw Decoding_Error("Unexpected AlgorithmIdentifier for MLDSA-Composite X.509 signature"); + } + return std::make_unique(*this); + } + throw Provider_Not_Found(algo_name(), provider); +} + } // namespace Botan diff --git a/src/tests/data/x509/xmss/xmss-rfc9802.pem b/src/tests/data/x509/xmss/xmss-rfc9802.pem new file mode 100644 index 00000000000..af2d82815b3 --- /dev/null +++ b/src/tests/data/x509/xmss/xmss-rfc9802.pem @@ -0,0 +1,63 @@ +-----BEGIN CERTIFICATE----- +MIILSDCCAW+gAwIBAgIUVH5kcCmeA8V6pVx40SeHjFQ1F10wCgYIKwYBBQUHBiIw +NTELMAkGA1UEBhMCRlIxDjAMBgNVBAcMBVBhcmlzMRYwFAYDVQQKDA1Cb2d1cyBY +TVNTIENBMB4XDTI0MDcxMDA4MjcyNFoXDTM0MDcwODA4MjcyNFowNTELMAkGA1UE +BhMCRlIxDjAMBgNVBAcMBVBhcmlzMRYwFAYDVQQKDA1Cb2d1cyBYTVNTIENBMFMw +CgYIKwYBBQUHBiIDRQAAAAABK+u/ZhTeb5ZbTSpQAHutXCKwE3lyAhSpX/yW4Jt4 +jta+jBxwPNjdeLIaFEe+Hw10cj82dsLLGa0pkAuC3pt/36NjMGEwHQYDVR0OBBYE +FGLONaVHd/8hhy68LSfnjvQ1a8/YMB8GA1UdIwQYMBaAFGLONaVHd/8hhy68LSfn +jvQ1a8/YMA8GA1UdEwEB/wQFMAMBAf8wDgYDVR0PAQH/BAQDAgEGMAoGCCsGAQUF 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+twsprTA9Vp28JOnmpW3Mgxh71ZijX91xcilxRY9BUs6GmVzxQAwesZfaOhRKpwJI +2E5jEpnaKOneDReQOvXamgF8FRK/AEh9Y4yJC7l3lQEnsjNzS6uo8yTuwdMMo54m +/iQjO4K0Gl5y3J6ROnuFZA0wLmtVU36iT7cQ5HehAUqy138clKan5Wbix+U3bYks +crFTz9ZnD3f4vwcgmJlg7y5ywHKeeSrKove8gttT92jj7U84ZIMb3aV43NsIqTQ1 +9vGcdoVezVmjyIlQW72gZAa019t64XVXE5DOBUug9iJwC3ighEaHtKcNiMZBxZPL +dzfRrzdIuUfbmXqYNoLLJ2qa3oAkOinrq72wQA2mUOWkcqMZy/NSji8dEO99ChVs +SQhTVYSFXHNTzj4Y5QSSppnbTXvHqZnOqpBIc3ph9ZJz2rQmdKE5dOOC+TLgCO+8 +L59t4do98KVGtheVuGsTffOhMY23R6BFqiBT1vA866LneiaMxsfLDyFa30YGxbIt +pTu3Af0PVRteWABwlKN/SI5KZ6QUXeC6tvmb595h2GeDrLcB62LFIrhIOpZV+xpK +xGMw83gFpqsM5zOgiPfi40ob/WY8FL7uINEylduX/9nCvHrI5LokxbIuFvhTr7RX +ViUm9TZI6wwg+Ttz/929IIEM9VWJfUYbBbYl35aZ6gl5YHLYN5Ko8XWjXG1Ut/My +FzUaLZblXvzNVDBJr28aQtmYUnJzdHK3cpWAHTFa5IO3ttQUAAtZzny8HXIkq3TW +LJwgsQp4b6l2jWw3AjW9b5nu0UU28TRgehJXJ2gFJhR1PJ8NPrdduCpsHaewQcT0 +Pa6OUVQ3Za0KySigPwTtVFnEnx09cJdf+URT/xWfAxN7QWvA94+jJysDOTePvZFl +TXSpn0VqpCXcTPl+WfxOk3yJj3GOpplmXmolpMCm+iX3aFyKAvV7Sc2J4Xd4lRup +IXhu9HriBOUOIVK/BM0MaV3X8ldxn9gB4PMQzBUt/Zl4/9wfj6kxDQ+f9CyhPU+y +UZJo8OzYX8RVoUzIEukFfgWTX/l2mYUYKSRgFF2zeflLfOQicYrCZkXSQRRdWUwK +tSurvcZQ+Ic3QubUlnLPRfDUvw3FF5/xuRJcqHSJnlYHz4+YmtrX23/H0DoKFM1a +ZgzrAnag1Fbm6L6h8Mcjs0+GkBpaFo4HDSTR7gOYnw== +-----END CERTIFICATE----- + diff --git a/src/tests/test_x509_path.cpp b/src/tests/test_x509_path.cpp index cc6f9edcccb..fa09ac3143f 100644 --- a/src/tests/test_x509_path.cpp +++ b/src/tests/test_x509_path.cpp @@ -1689,6 +1689,9 @@ class XMSS_Path_Validation_Tests final : public Test { auto cert_path = std::vector{self_signed}; auto valid_time = Botan::calendar_point(2019, 10, 8, 4, 45, 0).to_std_timepoint(); + if(file.find("-rfc9802") != std::string::npos) { + valid_time = Botan::calendar_point(2026, 5, 8, 4, 45, 0).to_std_timepoint(); + } auto status = Botan::PKIX::overall_status( Botan::PKIX::check_chain(cert_path, valid_time, "", Botan::Usage_Type::UNSPECIFIED, restrictions)); @@ -1704,7 +1707,9 @@ class XMSS_Path_Validation_Tests final : public Test { return { validate_self_signed("XMSS path validation with certificate created by ISARA corp", "xmss_isara_root.pem"), validate_self_signed("XMSS path validation with certificate created by BouncyCastle", - "xmss_bouncycastle_sha256_10_root.pem")}; + "xmss_bouncycastle_sha256_10_root.pem"), + validate_self_signed("XMSS path validation with certificate from RFC 9802", "xmss-rfc9802.pem"), + validate_self_signed("XMSS^MT path validation with certificate from RFC 9802", "xmssmt-rfc9802.pem")}; } }; From 1e33154efb66a04d8359404bbdcc296c160665b9 Mon Sep 17 00:00:00 2001 From: Falko Strenzke Date: Wed, 8 Jul 2026 17:07:09 +0200 Subject: [PATCH 9/9] fix the public key encoding and the tests --- src/lib/pubkey/xmssmt/xmssmt_publickey.cpp | 19 +- src/tests/data/pubkey/xmssmt_invalid.vec | 10 +- src/tests/data/pubkey/xmssmt_verify.vec | 254 ++++++++++----------- 3 files changed, 138 insertions(+), 145 deletions(-) diff --git a/src/lib/pubkey/xmssmt/xmssmt_publickey.cpp b/src/lib/pubkey/xmssmt/xmssmt_publickey.cpp index ceb2d294717..d83a5da5aff 100644 --- a/src/lib/pubkey/xmssmt/xmssmt_publickey.cpp +++ b/src/lib/pubkey/xmssmt/xmssmt_publickey.cpp @@ -7,8 +7,6 @@ #include -#include -#include #include #include #include @@ -29,11 +27,6 @@ XMSSMT_Parameters::xmssmt_algorithm_t deserialize_xmssmt_oid(std::span extract_raw_xmssmt_public_key(std::span key_bits) { - std::vector raw_key(key_bits.begin(), key_bits.end()); - // BER_Decoder(key_bits).decode(raw_key, ASN1_Type::OctetString).verify_end(); - return raw_key; -} } // namespace XMSSMT_PublicKey::XMSSMT_PublicKey(XMSSMT_Parameters::xmssmt_algorithm_t xmssmt_oid, RandomNumberGenerator& rng) : @@ -43,11 +36,11 @@ XMSSMT_PublicKey::XMSSMT_PublicKey(XMSSMT_Parameters::xmssmt_algorithm_t xmssmt_ m_public_seed(rng.random_vec(m_xmssmt_params.element_size())) {} XMSSMT_PublicKey::XMSSMT_PublicKey(std::span key_bits) : - m_raw_key(extract_raw_xmssmt_public_key(key_bits)), + m_raw_key(key_bits.begin(), key_bits.end()), m_xmssmt_params(deserialize_xmssmt_oid(m_raw_key)), m_wots_params(m_xmssmt_params.ots_oid()) { if(m_raw_key.size() < m_xmssmt_params.raw_public_key_size()) { - throw Decoding_Error(fmt("Invalid XMSS^MT public key size of {} bytes detected, should by {} bytes", + throw Decoding_Error(fmt("Invalid XMSS^MT public key size of {} bytes detected, should be {} bytes", m_raw_key.size(), m_xmssmt_params.raw_public_key_size())); } @@ -76,9 +69,9 @@ std::vector XMSSMT_PublicKey::raw_public_key_bits() const { } std::vector XMSSMT_PublicKey::public_key_bits() const { - std::vector output; - DER_Encoder(output).encode(raw_public_key_bits(), ASN1_Type::OctetString); - return output; + // Contrary to the private key, the public key is not wrapped in an ASN.1 + // OCTET STRING (see RFC 9802 Section 2.3) + return raw_public_key_bits(); } std::unique_ptr XMSSMT_PublicKey::generate_another(RandomNumberGenerator& rng) const { @@ -97,7 +90,7 @@ std::unique_ptr XMSSMT_PublicKey::create_x509_verification std::string_view provider) const { if(provider.empty() || provider == "base") { if(alg_id != this->algorithm_identifier()) { - throw Decoding_Error("Unexpected AlgorithmIdentifier for MLDSA-Composite X.509 signature"); + throw Decoding_Error("Unexpected AlgorithmIdentifier for XMSS^MT X.509 signature"); } return std::make_unique(*this); } diff --git a/src/tests/data/pubkey/xmssmt_invalid.vec b/src/tests/data/pubkey/xmssmt_invalid.vec index 2a5ecdcd59c..28fe8909aba 100644 --- a/src/tests/data/pubkey/xmssmt_invalid.vec +++ b/src/tests/data/pubkey/xmssmt_invalid.vec @@ -7,29 +7,29 @@ # invalid msg Params = SHA2_20/2_256 Msg = 1234 -PublicKey = 04440000000142b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 +PublicKey = 0000000142b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 InvalidSignature = 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# wrong oid Params = SHA2_20/2_256 Msg = -PublicKey = 04440000000242b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 +PublicKey = 0000000242b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 InvalidSignature = 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 # invalid sig leaf index Params = SHA2_20/2_256 Msg = -PublicKey = 04440000000142b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 +PublicKey = 0000000142b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 InvalidSignature = 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# corrupted sig data Params = SHA2_20/2_256 Msg = -PublicKey = 04440000000142b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 +PublicKey = 0000000142b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 InvalidSignature = 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# add 1 byte to the sig data Params = SHA2_20/2_256 Msg = -PublicKey = 04440000000142b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 +PublicKey = 0000000142b9690d72ad0d89bbf2c8da207ba8e201c5410b6a6682bdba9ede6f061b369167b54f8754ceab4a8e5efa99a6451a83e1d91485c92aa24dd6427b58bd547858 InvalidSignature = 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diff --git a/src/tests/data/pubkey/xmssmt_verify.vec b/src/tests/data/pubkey/xmssmt_verify.vec index 72b8e104e45..3a3d9889c40 100644 --- a/src/tests/data/pubkey/xmssmt_verify.vec +++ b/src/tests/data/pubkey/xmssmt_verify.vec @@ -7,634 +7,634 @@ # Use the above mentioned script to # generate test data for other parameter sets as necessary. # -# Note that here the PublicKey values are ASN.1 encoded as OCTET STRING +# Note that here the PublicKey values are the "raw" values and are not ASN.1 encoded as OCTET STRING Params = SHA2_20/2_192 Msg = -PublicKey = 043400000021990747d979430cffd7b1101d0c71e7b5b926c20bf66b4d66ad71b2b43a36581d58df8c30fa5d59691363acf2951f6231 +PublicKey = 00000021990747d979430cffd7b1101d0c71e7b5b926c20bf66b4d66ad71b2b43a36581d58df8c30fa5d59691363acf2951f6231 Signature = 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 Params = SHA2_20/2_192 Msg = 01020304 -PublicKey = 043400000021571d2027baf87c24b8dc5436bf3a6554bd417c4fd14e220b61e5e35c173b650ddbedb9ec939490fa0d358b882aece5e8 +PublicKey = 00000021571d2027baf87c24b8dc5436bf3a6554bd417c4fd14e220b61e5e35c173b650ddbedb9ec939490fa0d358b882aece5e8 Signature = 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Params = SHA2_20/2_192 Msg = 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-PublicKey = 0434000000215de266b3df82375abe87fbd71060399a2f657fe474a86551a359d934ea6dc8b1f73c0eb925914ce1adbb6e61a25cf0ba +PublicKey = 000000215de266b3df82375abe87fbd71060399a2f657fe474a86551a359d934ea6dc8b1f73c0eb925914ce1adbb6e61a25cf0ba Signature = 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Params = SHA2_20/2_256 Msg = -PublicKey = 044400000001017d01b3c5031fe4ca3092fb86d9b4b8374a351c2331d2dd944b4d907b480af059b67aae01f3c405835d5f18f6731f1dcc095cb5ac3b47ffa1b5f493954811a0 +PublicKey = 00000001017d01b3c5031fe4ca3092fb86d9b4b8374a351c2331d2dd944b4d907b480af059b67aae01f3c405835d5f18f6731f1dcc095cb5ac3b47ffa1b5f493954811a0 Signature = 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Params = SHA2_20/2_256 Msg = 01020304 -PublicKey = 044400000001eb13b09b91a08790a831c0a05c8595dffafef55b64762bad69e5e6fe9fc84e82fdaab14c2941036edb2c7008403db5cee671fc37baf849c8f7839b34ace4a390 +PublicKey = 00000001eb13b09b91a08790a831c0a05c8595dffafef55b64762bad69e5e6fe9fc84e82fdaab14c2941036edb2c7008403db5cee671fc37baf849c8f7839b34ace4a390 Signature = 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Params = SHA2_20/2_256 Msg = 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-PublicKey = 044400000001f4fcd112c6476f69f8add1cce3a88b708e97edc3aec328402948caca0b102ecc5c74f52c74c9cd1d8f4155ee0ccc05cedadfd87d40a4ecb76a68ed83150047ef +PublicKey = 00000001f4fcd112c6476f69f8add1cce3a88b708e97edc3aec328402948caca0b102ecc5c74f52c74c9cd1d8f4155ee0ccc05cedadfd87d40a4ecb76a68ed83150047ef Signature = 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Params = SHA2_20/2_512 Msg = -PublicKey = 048184000000093fbd05c8ffd8473c953ce9c986a2d412fdaba9f8616cf4aef255db9964d08e57dd7a5ef8bb7e7d1cce665533f6eef354aeb9b8cfa8ec43bec3f2ce42032859548faa93aae05db3b411c58f0f84b1611c0aa660c822b125f1eae9ae33d3b41f39f8bb96b0c3ca0572c00d5fb24a9c75f1c645c3bcd2445ad8cf3f9561b5280ae1 +PublicKey = 000000093fbd05c8ffd8473c953ce9c986a2d412fdaba9f8616cf4aef255db9964d08e57dd7a5ef8bb7e7d1cce665533f6eef354aeb9b8cfa8ec43bec3f2ce42032859548faa93aae05db3b411c58f0f84b1611c0aa660c822b125f1eae9ae33d3b41f39f8bb96b0c3ca0572c00d5fb24a9c75f1c645c3bcd2445ad8cf3f9561b5280ae1 Signature = 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Params = SHA2_20/2_512 Msg = 01020304 -PublicKey = 04818400000009234138e8b8fcc6fc71e89842add3230d68013eb1889f5274a6e8b043fd27524054cfe024514801485da9a9b80c0aa2355adfba0ecbd4613d3a59dd3859fdf718a51d6104040ab5c514e687e98047f5e79f170dc9d918bed3a7798f614d429b935aadc0dcf1f481601cd65adfe48995b6a4ae0c9024ddd50880033bfcdb7d6796 +PublicKey = 00000009234138e8b8fcc6fc71e89842add3230d68013eb1889f5274a6e8b043fd27524054cfe024514801485da9a9b80c0aa2355adfba0ecbd4613d3a59dd3859fdf718a51d6104040ab5c514e687e98047f5e79f170dc9d918bed3a7798f614d429b935aadc0dcf1f481601cd65adfe48995b6a4ae0c9024ddd50880033bfcdb7d6796 Signature = 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Params = SHA2_20/2_512 Msg = 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Params = SHA2_20/4_192 Msg = -PublicKey = 043400000022d81909a2933186615eb97a221c525310ff2b9ff26c139cddfb0880a10a7eb37638cb52544b54427b77254113485bc8fe +PublicKey = 00000022d81909a2933186615eb97a221c525310ff2b9ff26c139cddfb0880a10a7eb37638cb52544b54427b77254113485bc8fe Signature = 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 Params = SHA2_20/4_192 Msg = 01020304 -PublicKey = 04340000002216faf775587ee01d70a15aa9314cceaeaf85e86bfb012ac535a30ba7243eeb308313b2a96db0546ec32baca251878977 +PublicKey = 0000002216faf775587ee01d70a15aa9314cceaeaf85e86bfb012ac535a30ba7243eeb308313b2a96db0546ec32baca251878977 Signature = 0000001010a1af0e2d3a85e3f1222bdd81444e117d0b2b6692c7696582cf380a59f3701d2a3e58c603d0dd465b58d94ce984011afd369e7be58da4e6b9240d3b9a984207c51f43b841901970fcc36adbb2f434505b1a0d7e2642ae108fe13508e03ba6f5da63bef382257bcf649943ff08c40359b761c4850f1e6b617accd1659b5cc3e5a5920360c58bbc8d56f86235077228d7a50d67efee6ecb84051fae5695eaee5f0cfaab6500261d51997d5184eb58c7d1ae8563a52a0b37e6b83b2cd8d2fc7e35fe19031b04da60313f5e2cac4b5bd9c607d792ea1b110018fa79a1438304631c19b4a129a6c57d57f69e63430bd1fd83865f1ffb2e3a691ddb442a068146a493e96452ae8037d9249f90b00dd53d3b50dc05f21d4e7ef1a1e062ec7c079aaeebde12ae1eaf9fa96bb5356b78bfdb702a26c002a4c2025ab31f38cb04493c536daeabd6d506974049af012f9803988b76aaeb1e70458584ae2b1ffcb6bb3bf5a730bef3cdac32c06d708eaf1dba0aed45825b4c9e62026e46933720b7c16e5f055ef341ecb5bb52295a5efbdcb47e3f17b916e769f3b75506558b4f969736f2318c8f031662c60754c45804e1d43d0047356765ffdd6b9d5aaafa1c4fefbd4129d5585cdd2974bd3afec9cf9108edd5ee968fd1610d5036a5ff060d21dd2ded58ced3239ffff7b183ea9deb52d324bea287cd70e108cdde96dacc69981ec306f67271d952b80da3c5ed15eaf975681639c8ba51e53d34b9cb3973d78d43b950c2f5f8ac3706e2649e42564c4dc998b13e98970eb4c434fa9ffecebc10a47e72a7c32e368fc942be7b1dbaf4abf95b60b526ae155ab37469211925c429e9251eea13c903d32a4743e54d776e1ba9d86ca5d3686a6c64c01ca6fe0587ecad89c25a90ce69e95afe4e277f237859465be1ef1da15fe1d5589e092c66da89d3f04353d213968c550db0685f13e6956a0013296c12fe78c726708138287ef277394af3b6f5abba13747fd7a2c604e5446a923bb6f738ed75e8e2e1ff3370b037fccf9814122e5bf855003aeee4e3e8751861a1409ab547954184b0bdbbd4e50dda427e044641f275d1f29eeb8cfde7e80f2715440b9882e84df30ea0befba3a986cd970d9b3c898ee3a201211fcc2694a7178ae94e5812714051aa051d82a17f2fa673a43120e821f9d2a59a455c7debfc973461ede92c6eb89973ad389e3763d9a3f1d688dbf7ca0e9eb7f5dfa3d6a81e896dffd9516482a95ff61c4cb17ab892a11d67953da4f21f275a1d9ddcee8b5653a214384d0398cadb7c9a05133667720cdd7e0401b9237a8a8b8774170774ede533de507f3e02cf3c7f8f484e6d5c3a209637f0ea80341c242297cb47f750a8033fe8c22693699ae29353cbf67124465bf9d12bdca55fd0c6a14b72b406fa08851675977dc1208c0dd24e4d6f9c54d9ad6f7f84e73559d18e29fd726f9a7f166a3f3709d7a35ed6f8240f6c25f5929a9d4ab9b2824d1ef60994ebb90c88f1fe81b1901b386511b3c1e79a2dfd91f9f434791d6c35e1bc76e604b881717fc8bbf8dbf5f8c21be2b8a9ddf84a155a9b6ae6af3e4c1967f3ca9e2239603b2e693fb92e990d6e4f5938373af7143d309d0151a292b27b4376db5eb6f6318c5ae99cacac2c34819898844ab081ddb40d7e95b18892ae56e3d6c7d6a333c36294d9a2cfe226d271e4a371c8c8e006a6519cfc3f247ae4a503f49176836a76b9a426596d81f243ca8b616ea7415a96a5f50c9ed91469f27ee39dd519ba7f5393555cf5a2afcd1e784c144243983d216db3f005413a5b844ec454fe14d1b4e301f8259b428227ae20b2daa0f3dd247f3cd63eface60206625d8a3c9c533a9e3650dc7c056810f475163aedff053aa0eb743d91ffad58027027c29ad8fec3815f3edc64da64c46cf8a4d53a5149825352447238b462c5f77145a3686e7454e41ec165693c56fa158a715605946e6b31dce93320a29a3cb63c8ccf63177399d884beee78653169a6805954b2005e56c33de442146d8097f80b03c3d9f1c4ec2ea27245240b302d4f9e73dad5ed55720a800bbdee272391f658f9b71bc7dcb27b0a3fa5cde68e4c241c955bc4a1a75c362ef3070cc2bbecf792fc5aaa07a06e247541a3ac6d27b4c3c799423af53f1767529ceb56022c0019ae51b182e2dda855beeae6568009935972a33c391a96647f1e6ac4519ef08823f36ce6754b4ba2d28fb04ee8b3de343f16eb7fe0cb0c1a5e68fd2ef2cb54f09eb3c98eaa581d9b2d0bd15fa48e44ed493bd18e49a4d6712f5912f0ddc325b4043347017a1cba7f1153cca9589536cb9a098cdc6d84ac8e40d77af159b1e73bc1816e057bd8857da547dd5add93a73da9a73cba2cffb4283a86754aecd9249ea7735f6890612baf9816b322ca4e2af4229611beaf05bfbd6677f5ac5271d7346ac4e1f3cfb11b788d35532024af0c933d778446601b99b229aa7c2b428a82c2c2966e45de6e42de90f6238ce5b58769c5ee51cbc94a70032f57dea2f9062df7402010f18da910542d61bd908c3129ea855f11b39b5ac5246492882ee7a482d9ea9518c6ebfed2fde514f7186be42ea81be17b46dbda9b7e7935575c7467937edc7389b9b926eeb2efcb2f648630541ea45c2fe6d70966f6fb6d3d9e63a2bfe6b45c45cf4d4c579dd7c725cff4f1871cf6c7dec4977b250a1a4a8e137424da5c82bb5a1f7ec7e5c50be7a27818d3c1929284fb88b8e2367b07b391a2c19e9cbdf97a9881e46ae7862ebb1f1591b0cd4793645f2ccb5965978d7764608c8890ead1f80493d23137a6bb7d7b8e8ddc28d37c88574069f9f262f563c6f08db06637272fcdfab63ff07e8631683c6cbf7ab99baf31508a0cad4c7ac1acb1f095daf4f5dbf919dc06f38d5ccabc162386bdd72b551aad9080ef4dd5fea3059f401d3edfe0327c0165fdf0ff9d408b5c5d61e7af85095e635f89c8d37d0a92ea5af736c2d30b5a04f58fda8aab7a60f13dce59ea0db02005e4fb6efed82367fa0b3d21da07ba73437326b4b4648a06bc71d29706f24e44318efea0cb2ea39a4f588aae21ee0e83cdb310e3000a7eca314a81011536c45b6a625923514e0828a8e359b773522eccb6e6fd36c02f9fd298d1a090d17b235f821412f7033d7a204d3abacaf7458306bb879c9d36c252fc7f32ba851dd7003a87b4602777ae588f76ecb2d26f694e96ff4c62e1f382ed602b07cdab49a080e786943f464e4f9056c1bf719ecaa340813cb09add4c006e0bd3f01f809e15af538c5070d0094bfa313f4e273e9b5200216649b2c56a0bee5bc65f40ec12fca17b652bb77c6f495c8d93022065be5c8f396ee21d5e87ce32417f3fc062ac9325efafc2bf5f7ad0bc0c649179d1b7c152492ae0339ea2ac739e4306c72a926181f8741057a39ea75573777d18ea648dae4650d5fe5ddf9005356cd0908609bb6623790e90dbada4e2a45b52d538aca54c3d47e67fa78d8defcb42c47b73c8276326ad3ff3ecfec69f083f4b61d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Params = SHA2_20/4_192 Msg = 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-PublicKey = 04340000002263b2cb3140f31bb8e5c774aad3933f4ccd0cf7450c0e4b0629ff2444189c499e4dc18808b3f5ce92d386b15fb125fea9 +PublicKey = 0000002263b2cb3140f31bb8e5c774aad3933f4ccd0cf7450c0e4b0629ff2444189c499e4dc18808b3f5ce92d386b15fb125fea9 Signature = 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Params = SHA2_20/4_256 Msg = -PublicKey = 0444000000024c4e40af51bb39c6a34e2fbffef7bce3e7394b6be3a41876cd34fe3ad2d30c55144d61fc9534e4e1c8b3b98e71088c89b7820244b5e50d6c115dac0d9322d09e +PublicKey = 000000024c4e40af51bb39c6a34e2fbffef7bce3e7394b6be3a41876cd34fe3ad2d30c55144d61fc9534e4e1c8b3b98e71088c89b7820244b5e50d6c115dac0d9322d09e Signature = 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Params = SHA2_20/4_256 Msg = 01020304 -PublicKey = 044400000002c2304fa4c6d15f9c231ec1fc13bc3cfc17d7e3b1d517a6772a62a7a2f42d5544f0b1a32834e65ba60cd46861ddf44986a9f18078bdbef508d7b12e970c04a584 +PublicKey = 00000002c2304fa4c6d15f9c231ec1fc13bc3cfc17d7e3b1d517a6772a62a7a2f42d5544f0b1a32834e65ba60cd46861ddf44986a9f18078bdbef508d7b12e970c04a584 Signature = 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Params = SHA2_20/4_256 Msg = 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Params = SHA2_20/4_512 Msg = -PublicKey = 0481840000000a5803012049446e92a0bc6b83e67aef4e0c35bc67f951b2e401706a55c8b47a911a4585916515995927a4c06ae79194839a2d8d42b300cb681f041dcc4f01310c23def5b0413e5f09ab53cc246a31a910eb6fa3543311e9ee7ddf1a3b67f723f37a0f00b0e9174b53d3cc288f4b4c38daf1ecda76c2075ceb8385c6e275300fe3 +PublicKey = 0000000a5803012049446e92a0bc6b83e67aef4e0c35bc67f951b2e401706a55c8b47a911a4585916515995927a4c06ae79194839a2d8d42b300cb681f041dcc4f01310c23def5b0413e5f09ab53cc246a31a910eb6fa3543311e9ee7ddf1a3b67f723f37a0f00b0e9174b53d3cc288f4b4c38daf1ecda76c2075ceb8385c6e275300fe3 Signature = 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Params = SHA2_20/4_512 Msg = 01020304 -PublicKey = 0481840000000a969ee3a1c17e3e85917666344015eceb2b8c88a53c481d9f05496eb41c17b9316f2d22fcec68b8526765b3674cf613ed8ff2c69e8f5a1b7d39c6d9df101d368197343c491c56fb31f41ddfe4bb093a607d5be6d21bcbbe61d90d90ddd3595f356db21b4a962ca5eeb966d57423935d55ff60ccfefa4b714f40abb2ac4d9852f6 +PublicKey = 0000000a969ee3a1c17e3e85917666344015eceb2b8c88a53c481d9f05496eb41c17b9316f2d22fcec68b8526765b3674cf613ed8ff2c69e8f5a1b7d39c6d9df101d368197343c491c56fb31f41ddfe4bb093a607d5be6d21bcbbe61d90d90ddd3595f356db21b4a962ca5eeb966d57423935d55ff60ccfefa4b714f40abb2ac4d9852f6 Signature = 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Params = SHA2_20/4_512 Msg = 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Params = SHA2_40/4_192 Msg = -PublicKey = 04340000002487029abbf837abd8b02f9b23fc1cff2cea865bb51cdbfc0a7abca86fedced170c59c95ccc9e65c75e3396604c2431075 +PublicKey = 0000002487029abbf837abd8b02f9b23fc1cff2cea865bb51cdbfc0a7abca86fedced170c59c95ccc9e65c75e3396604c2431075 Signature = 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Params = SHA2_40/4_192 Msg = 01020304 -PublicKey = 0434000000246a40d5581a1acda54251e3bf36842aa052677bb6b9fdf954fee2e6c424d3872be6ef37600c624bad9d168dde8453efa4 +PublicKey = 000000246a40d5581a1acda54251e3bf36842aa052677bb6b9fdf954fee2e6c424d3872be6ef37600c624bad9d168dde8453efa4 Signature = 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Params = SHA2_40/4_192 Msg = 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-PublicKey = 043400000024851ff2ece25df7a71bab0bed567ecbdd64a8861e292a3fa6335b30479e22ba7654aa837591d7b45609fdba8bf9fbcb0c +PublicKey = 00000024851ff2ece25df7a71bab0bed567ecbdd64a8861e292a3fa6335b30479e22ba7654aa837591d7b45609fdba8bf9fbcb0c Signature = 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Params = SHA2_40/4_256 Msg = -PublicKey = 044400000004a128bf4e60233113d13ef5347195e455d910fa1e3101d14869ff93f18514b9879fd4da5bd92dfffbca904df6b2f170f6c78846f76c5660297ddad2c2b6c4e32f +PublicKey = 00000004a128bf4e60233113d13ef5347195e455d910fa1e3101d14869ff93f18514b9879fd4da5bd92dfffbca904df6b2f170f6c78846f76c5660297ddad2c2b6c4e32f Signature = 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Params = SHA2_40/4_256 Msg = 01020304 -PublicKey = 044400000004c1ab1848ef44e3e7955b72cbef4c0a68ebcfece935c20aea58bb126e2ac0cf348a95d56f286b745eaebade67a96f065f8cb2a2fcc937d38805489bc4d463e271 +PublicKey = 00000004c1ab1848ef44e3e7955b72cbef4c0a68ebcfece935c20aea58bb126e2ac0cf348a95d56f286b745eaebade67a96f065f8cb2a2fcc937d38805489bc4d463e271 Signature = 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Params = SHA2_40/4_256 Msg = 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Params = SHA2_40/4_512 Msg = -PublicKey = 0481840000000ca315dd9aace273ed0536dc06248b0a15cde2de13dfda2aca211b9a636a462f06bdafe0364d2db98adf5c1a21ea3e9429b8b2e17e88ea29ea712ebf162f6535b37aef58778b3e5960c068a7590db6e835a713cbd2703cc8e1020863c241964be0471c82f0a0d274133b1a823d6140008a6879f7919b4d257627705ea06b87a276 +PublicKey = 0000000ca315dd9aace273ed0536dc06248b0a15cde2de13dfda2aca211b9a636a462f06bdafe0364d2db98adf5c1a21ea3e9429b8b2e17e88ea29ea712ebf162f6535b37aef58778b3e5960c068a7590db6e835a713cbd2703cc8e1020863c241964be0471c82f0a0d274133b1a823d6140008a6879f7919b4d257627705ea06b87a276 Signature = 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Params = SHA2_40/4_512 Msg = 01020304 -PublicKey = 0481840000000c93ff4e81cddcc2124290b436046b934c151062cccd194851ab838e5ba7c3813547eae29b5fa110e7816a8e587bf934083372f64c8c0973643a6434db8170b2a00107a6547cf23d1735c30ef9a259b911238cb61a9f2e39edcc2477c7d505923a9347a1c7065cb0bebc8b15e639695e04965b8a35c777895dd93e25f7bcda1f51 +PublicKey = 0000000c93ff4e81cddcc2124290b436046b934c151062cccd194851ab838e5ba7c3813547eae29b5fa110e7816a8e587bf934083372f64c8c0973643a6434db8170b2a00107a6547cf23d1735c30ef9a259b911238cb61a9f2e39edcc2477c7d505923a9347a1c7065cb0bebc8b15e639695e04965b8a35c777895dd93e25f7bcda1f51 Signature = 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Params = SHA2_40/4_512 Msg = 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Params = SHA2_40/8_192 Msg = -PublicKey = 043400000025dbd9a52b5644cab2f205e2bc65657237d573e855210f1335247321af08f630d76e99530b5d8226396b79bbcfc6e82995 +PublicKey = 00000025dbd9a52b5644cab2f205e2bc65657237d573e855210f1335247321af08f630d76e99530b5d8226396b79bbcfc6e82995 Signature = 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Params = SHA2_40/8_192 Msg = 01020304 -PublicKey = 0434000000251e5847003a55f486093eb7d81bd94dff8cbcf7ba51ab846b816438c51a44b397499a4079eeae0306b18ac772eef38e5e +PublicKey = 000000251e5847003a55f486093eb7d81bd94dff8cbcf7ba51ab846b816438c51a44b397499a4079eeae0306b18ac772eef38e5e Signature = 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Params = SHA2_40/8_192 Msg = 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-PublicKey = 0434000000251773ab98aff6f55f76ceae997551b7466567d224ba6c1ec75f3424f1e068e04237b8d8c16ab0e8d810103c851355c2cb +PublicKey = 000000251773ab98aff6f55f76ceae997551b7466567d224ba6c1ec75f3424f1e068e04237b8d8c16ab0e8d810103c851355c2cb Signature = 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Params = SHA2_40/8_256 Msg = -PublicKey = 044400000005fa6072b591fe7b2a323e7726b6e4210a7153b2acdfb6c3a30138b1c7c92058116bf9e597ab3698eec1ea57099e60ba8b428edc2fd4ca3447ecb13ac371398936 +PublicKey = 00000005fa6072b591fe7b2a323e7726b6e4210a7153b2acdfb6c3a30138b1c7c92058116bf9e597ab3698eec1ea57099e60ba8b428edc2fd4ca3447ecb13ac371398936 Signature = 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Params = SHA2_40/8_256 Msg = 01020304 -PublicKey = 044400000005bb6e677ec70ab8e6114a6af54adbfee2b946dd146bf27e55c4e502980bbc03fe61a053fda255a7a01ac3a2a2a10ef57b82804739c5ae1e84787bd8a7dc87a91d +PublicKey = 00000005bb6e677ec70ab8e6114a6af54adbfee2b946dd146bf27e55c4e502980bbc03fe61a053fda255a7a01ac3a2a2a10ef57b82804739c5ae1e84787bd8a7dc87a91d Signature = 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Params = SHA2_40/8_256 Msg = 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Params = SHA2_40/8_512 Msg = -PublicKey = 0481840000000d3188ad4109bf0ecd5d539e9f3745ffb4f59b7ed440601dcb8f9113552907ba3271685597f8b8f93088e12993e73abc778e407eecbd3f0e7a792c72510db369d11acd6f753c7e39729110601fa305ab9b27683259e297830a15953e02d47de5ac0dac636f395f89ba0b794da475d070314d67e596622798d546ce74d135a95b4d +PublicKey = 0000000d3188ad4109bf0ecd5d539e9f3745ffb4f59b7ed440601dcb8f9113552907ba3271685597f8b8f93088e12993e73abc778e407eecbd3f0e7a792c72510db369d11acd6f753c7e39729110601fa305ab9b27683259e297830a15953e02d47de5ac0dac636f395f89ba0b794da475d070314d67e596622798d546ce74d135a95b4d Signature = 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Params = SHA2_40/8_512 Msg = 01020304 -PublicKey = 0481840000000d57205f50c6d8ed549dfb7c0a003f85dca1eced57bc1ca49de7decbdbf1d1df301cf27136f70d408326910994c1977f56cd0ebb8f7381ec826cfa5bc2ab987bec1a0390b136e925a598af9a824e1aecc0b9c6fee9183cd5c5bcea29e57ae14745120205ffb56d3ebc83bfef129f6b6a9ef2b57abe193ebd38df2c45d380e80bac +PublicKey = 0000000d57205f50c6d8ed549dfb7c0a003f85dca1eced57bc1ca49de7decbdbf1d1df301cf27136f70d408326910994c1977f56cd0ebb8f7381ec826cfa5bc2ab987bec1a0390b136e925a598af9a824e1aecc0b9c6fee9183cd5c5bcea29e57ae14745120205ffb56d3ebc83bfef129f6b6a9ef2b57abe193ebd38df2c45d380e80bac Signature = 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Params = SHA2_40/8_512 Msg = 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Params = SHA2_60/12_192 Msg = -PublicKey = 043400000028ad196b4a107b80bcf5fba6795832f5c5fad5337f56307fa39e7e42b24ac1d1ba180cec8c2497c316bf1ebd3740a51a6e +PublicKey = 00000028ad196b4a107b80bcf5fba6795832f5c5fad5337f56307fa39e7e42b24ac1d1ba180cec8c2497c316bf1ebd3740a51a6e Signature = 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Params = SHA2_60/12_192 Msg = 01020304 -PublicKey = 043400000028d1e645c5b5edbecfc0cb5e9c9159d1830daf7435a47ab769b72d2ee1785b90a74cbf9895f1525eec481e67d9f3de6b84 +PublicKey = 00000028d1e645c5b5edbecfc0cb5e9c9159d1830daf7435a47ab769b72d2ee1785b90a74cbf9895f1525eec481e67d9f3de6b84 Signature = 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Params = SHA2_60/12_192 Msg = 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-PublicKey = 043400000028bdfa59274deff47432f99f3490ae6bc91f45c90449dbedf0658ec3147740325044ea5f35d99b744d5e886280d27b96ac +PublicKey = 00000028bdfa59274deff47432f99f3490ae6bc91f45c90449dbedf0658ec3147740325044ea5f35d99b744d5e886280d27b96ac Signature = 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Params = SHA2_60/12_256 Msg = -PublicKey = 044400000008cc0423958c3479f7f1667a59c6e50571994597c63da7ed98dd472e6aa1576ea3d4c36ca0849440bc706732832e5664ca3123dbb76922443f062a060c2a4abe10 +PublicKey = 00000008cc0423958c3479f7f1667a59c6e50571994597c63da7ed98dd472e6aa1576ea3d4c36ca0849440bc706732832e5664ca3123dbb76922443f062a060c2a4abe10 Signature = 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Params = SHA2_60/12_256 Msg = 01020304 -PublicKey = 04440000000866503df9810a051956b54a62d15f733dfee5df8076e22a341f65f7366cd2f5a00f15f140e8b5e1e0544f667956518f44301fc69ddbd35c0c74e80d9bfa908e40 +PublicKey = 0000000866503df9810a051956b54a62d15f733dfee5df8076e22a341f65f7366cd2f5a00f15f140e8b5e1e0544f667956518f44301fc69ddbd35c0c74e80d9bfa908e40 Signature = 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Params = SHA2_60/12_256 Msg = 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-PublicKey = 044400000008f05e21ab3269adc5bdcbefeb9d4cab16e9291ca282ad1fc369c4bd64472d7a4b565abeeee0e2b3e14d04b12614e1f63661b38dca3fe01005463306054fe8697d +PublicKey = 00000008f05e21ab3269adc5bdcbefeb9d4cab16e9291ca282ad1fc369c4bd64472d7a4b565abeeee0e2b3e14d04b12614e1f63661b38dca3fe01005463306054fe8697d Signature = 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3b90ad68a0cf4d093ef50d096151333601810a1570cb0589a228ad2bfe830247eedb3cc61e396b9e4bcaf0b8cd274aca2a1c6665c66fc61ce1a8e14a8548cbb891ec7ff0cd7f8efe84a4f7c9ae04b2118cac032549fb690c9416020ac9376efc9458233fc597002a0c3ea6cafc090d04d0825d4a7e542cecd5cd459664c52045be0551bacee6231905fc89871507a4cfa5273a2d852cc4e967c524738926fcfbb0fb827fdceeb61b0dca5a175a5568dbc7d498a3012bfbba8638517b Params = SHA2_60/12_512 Msg = -PublicKey = 04818400000010c52d8e8c80cb1cebfb859a18055c4310c36aad2c75687c25c7911b09816175d916aa664dc31e742d70422e9d79bcd765ff2ec2d0930390ddf88f2f5f078f0a43e042ec306e9d3bfd4c90a65a1394d0d6c7507c798d6f1dff048eb2e5f4578402bfe9b711d41f45f74f98d98248e663a75766cd4159a19f8362b8204a619d5157 +PublicKey = 00000010c52d8e8c80cb1cebfb859a18055c4310c36aad2c75687c25c7911b09816175d916aa664dc31e742d70422e9d79bcd765ff2ec2d0930390ddf88f2f5f078f0a43e042ec306e9d3bfd4c90a65a1394d0d6c7507c798d6f1dff048eb2e5f4578402bfe9b711d41f45f74f98d98248e663a75766cd4159a19f8362b8204a619d5157 Signature = 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Params = SHA2_60/12_512 Msg = 01020304 -PublicKey = 04818400000010d7fbcdaa176bd4c5bd963a0473d054031beaabe4a371b2c67273cae63d99d6bfefeb6b961eee3bfb4a0d54f8d5c7de7be337f3493c39e28d6ed202fb6063a751f1bc71c81687465ccd9de5627856b2fbbe2274b147f253a0ff9cbc8de61597743e5286901005601614ce70a7f4d5269f7b529c12fdf61d30918bec7a6689decf +PublicKey = 00000010d7fbcdaa176bd4c5bd963a0473d054031beaabe4a371b2c67273cae63d99d6bfefeb6b961eee3bfb4a0d54f8d5c7de7be337f3493c39e28d6ed202fb6063a751f1bc71c81687465ccd9de5627856b2fbbe2274b147f253a0ff9cbc8de61597743e5286901005601614ce70a7f4d5269f7b529c12fdf61d30918bec7a6689decf Signature = 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Params = SHA2_60/12_512 Msg = 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-PublicKey = 048184000000102e7da9e685b88c133f8faa9facd485f6ae16e03253b14a5032e4b3b0f349207d3c40a8c18d888864ff39aaf188e8a05c7833154d85e3840589ee868bb9263002d3e5b7c68f684c7d1e1fcc809b033148259c904d15ad59517dc8ce5f9de5d05b2859ecc388df4c499ce503f650ac001525a3ceb12430cc9fec2f54bfbac2e025 +PublicKey = 000000102e7da9e685b88c133f8faa9facd485f6ae16e03253b14a5032e4b3b0f349207d3c40a8c18d888864ff39aaf188e8a05c7833154d85e3840589ee868bb9263002d3e5b7c68f684c7d1e1fcc809b033148259c904d15ad59517dc8ce5f9de5d05b2859ecc388df4c499ce503f650ac001525a3ceb12430cc9fec2f54bfbac2e025 Signature = 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Params = SHA2_60/6_192 Msg = -PublicKey = 0434000000276f9f012bae27ca96e4f230b8cf5a68fd7a2cec1078cf3877f7fc00b4cbe0113cf1dfe67342f65cbea44b2f2d42e450ab +PublicKey = 000000276f9f012bae27ca96e4f230b8cf5a68fd7a2cec1078cf3877f7fc00b4cbe0113cf1dfe67342f65cbea44b2f2d42e450ab Signature = 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Params = SHA2_60/6_192 Msg = 01020304 -PublicKey = 0434000000274ab6f748e90901a29e4409f750d44b0bb535bca4dc9d1b63a3f12f531845275c4c7b2329a4aaec1b76cb188d8a9adffc +PublicKey = 000000274ab6f748e90901a29e4409f750d44b0bb535bca4dc9d1b63a3f12f531845275c4c7b2329a4aaec1b76cb188d8a9adffc Signature = 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Params = SHA2_60/6_192 Msg = 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 -PublicKey = 043400000027824043ee82b93db3e824823dc18910636c5443bfda1027fd1556513e1846d978ea72cc36fdb0178b29059587c02ee698 +PublicKey = 00000027824043ee82b93db3e824823dc18910636c5443bfda1027fd1556513e1846d978ea72cc36fdb0178b29059587c02ee698 Signature = 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Params = SHA2_60/6_256 Msg = -PublicKey = 0444000000078219ec80fbaec3eaaba5c68062b8ececae00a3578d3c45ce3d376a3d7c0a18510bff3213d57e706c9547e35c1f8036e772de06368cce9f61f6b9ac82247c8d2b +PublicKey = 000000078219ec80fbaec3eaaba5c68062b8ececae00a3578d3c45ce3d376a3d7c0a18510bff3213d57e706c9547e35c1f8036e772de06368cce9f61f6b9ac82247c8d2b Signature = 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Params = SHA2_60/6_256 Msg = 01020304 -PublicKey = 0444000000079cbccba7c86ac60723c058410b834fcae0416f2ffe242d4fbde4d0d60c13747f570b8d0d999392efc3740eed03c196da7c7f0418d848cf9151ff2bffb4f245cb +PublicKey = 000000079cbccba7c86ac60723c058410b834fcae0416f2ffe242d4fbde4d0d60c13747f570b8d0d999392efc3740eed03c196da7c7f0418d848cf9151ff2bffb4f245cb Signature = 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Params = SHA2_60/6_256 Msg = 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-PublicKey = 044400000007e6a18020de0f5a5b86a0df2258ec733bb90cbb236d7689b1c2db2ea8905c62a85a723d89052dbf2971e267635836c6421daa4e45d794dffbf950b6ef9c691816 +PublicKey = 00000007e6a18020de0f5a5b86a0df2258ec733bb90cbb236d7689b1c2db2ea8905c62a85a723d89052dbf2971e267635836c6421daa4e45d794dffbf950b6ef9c691816 Signature = 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Params = SHA2_60/6_512 Msg = -PublicKey = 0481840000000fcbe169ac805aed7cb5f696e10dcbdcedf68aef41488e401ca825e96457bf186afbcab0763dea5935823a52db370530de6f54150fc3ac11184e94bcdae2061743523ff7b0d7a4fc108ddf84914b8b596bc714920965f4e7e96a8fa9ab6a057a3e1e2fa412be4d036989793228e81e72ba536635625a7a9a2f838d183e540955fb +PublicKey = 0000000fcbe169ac805aed7cb5f696e10dcbdcedf68aef41488e401ca825e96457bf186afbcab0763dea5935823a52db370530de6f54150fc3ac11184e94bcdae2061743523ff7b0d7a4fc108ddf84914b8b596bc714920965f4e7e96a8fa9ab6a057a3e1e2fa412be4d036989793228e81e72ba536635625a7a9a2f838d183e540955fb Signature = 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Params = SHA2_60/6_512 Msg = 01020304 -PublicKey = 0481840000000f2c65e1df9b389accd7565b0c37544193a13c5361e8ec0771b75619069265980b219fe53fa74d803f84d2c8385c6de95bb2a8ca79d1d69ec9983a5ce7077b2cffa4c4d7f1c3cee98e38753075e0c9726a43c85d384f404d44a1cb30e9a92f2e8c06615d163e5caf89beafa9de8099bf2eacea29d145e59fad1bd58ca9cf425bd3 +PublicKey = 0000000f2c65e1df9b389accd7565b0c37544193a13c5361e8ec0771b75619069265980b219fe53fa74d803f84d2c8385c6de95bb2a8ca79d1d69ec9983a5ce7077b2cffa4c4d7f1c3cee98e38753075e0c9726a43c85d384f404d44a1cb30e9a92f2e8c06615d163e5caf89beafa9de8099bf2eacea29d145e59fad1bd58ca9cf425bd3 Signature = 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Params = SHA2_60/6_512 Msg = 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Params = SHAKE256_20/2_192 Msg = -PublicKey = 0434000000319d865e7c2cfb2534be51877d127bfb335495e6b69cb39f859e984fe154cc39063ae56b2f1ddd3941532844d5113efd20 +PublicKey = 000000319d865e7c2cfb2534be51877d127bfb335495e6b69cb39f859e984fe154cc39063ae56b2f1ddd3941532844d5113efd20 Signature = 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 Params = SHAKE256_20/2_192 Msg = 01020304 -PublicKey = 04340000003150a64311d1ae0efaa147709723cf4800cd33cbf9138a7d2c768090a8989a4b16e0c38867d2bf5307b363bd1025858840 +PublicKey = 0000003150a64311d1ae0efaa147709723cf4800cd33cbf9138a7d2c768090a8989a4b16e0c38867d2bf5307b363bd1025858840 Signature = 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Params = SHAKE256_20/2_192 Msg = 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-PublicKey = 0434000000312f07bd30bb2e3cd13feab69768c04af38d1fab5b6f5381b7e9629c1a0763c396010b9adb2fc9bff815a0ab7f5404107a +PublicKey = 000000312f07bd30bb2e3cd13feab69768c04af38d1fab5b6f5381b7e9629c1a0763c396010b9adb2fc9bff815a0ab7f5404107a Signature = 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Params = SHAKE256_20/2_256 Msg = -PublicKey = 0444000000291f84a2b283d6fa52d07fd64bf18a01216af918a5c32c7e672a667f33eeb192b9f8b218655ecafd4af1c2578791bd6a6250790a96e1d86966ab4771654777e0cb +PublicKey = 000000291f84a2b283d6fa52d07fd64bf18a01216af918a5c32c7e672a667f33eeb192b9f8b218655ecafd4af1c2578791bd6a6250790a96e1d86966ab4771654777e0cb Signature = 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Params = SHAKE256_20/2_256 Msg = 01020304 -PublicKey = 044400000029432b3e683bef10f46b0ca59f5cf2b3cd9c58181967f84bd7865fbce77a218447f1233b050caefe83a6769daa7912b181fe1588ca87517232de4051f14af4eac6 +PublicKey = 00000029432b3e683bef10f46b0ca59f5cf2b3cd9c58181967f84bd7865fbce77a218447f1233b050caefe83a6769daa7912b181fe1588ca87517232de4051f14af4eac6 Signature = 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Params = SHAKE256_20/2_256 Msg = 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-PublicKey = 044400000029d5fff8625a727e2f5f0e57e233de207020ce6bed5866016e506eba09dac5cdd3b7dab7c44962ae4fadcc382a22749dd5b118fa2bf26cf67477a07ac16c259084 +PublicKey = 00000029d5fff8625a727e2f5f0e57e233de207020ce6bed5866016e506eba09dac5cdd3b7dab7c44962ae4fadcc382a22749dd5b118fa2bf26cf67477a07ac16c259084 Signature = 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Params = SHAKE256_20/4_192 Msg = -PublicKey = 0434000000324043a17b590ff7a28bf3c5529e780c88e955b52f13ac8e1fa6f6ea38a355f66322bf6be734aa4c09c0b612c82c71ac12 +PublicKey = 000000324043a17b590ff7a28bf3c5529e780c88e955b52f13ac8e1fa6f6ea38a355f66322bf6be734aa4c09c0b612c82c71ac12 Signature = 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 Params = SHAKE256_20/4_192 Msg = 01020304 -PublicKey = 04340000003262dd3b559b666f4c4ae4bbff01b1f35d52dca10fd66c3b1c328f20d3fea336724ff3ff2ed23fa4139f5ffd1898f00f8d +PublicKey = 0000003262dd3b559b666f4c4ae4bbff01b1f35d52dca10fd66c3b1c328f20d3fea336724ff3ff2ed23fa4139f5ffd1898f00f8d Signature = 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Params = SHAKE256_20/4_192 Msg = 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 -PublicKey = 043400000032b4ed4e9efa2c7a77209d6f0a9ebfcc5336139631c5f8fd3f1f037b7c1b3c3581314623e3c9d29c8e5d98644f7aa5ba4c +PublicKey = 00000032b4ed4e9efa2c7a77209d6f0a9ebfcc5336139631c5f8fd3f1f037b7c1b3c3581314623e3c9d29c8e5d98644f7aa5ba4c Signature = 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Params = SHAKE256_20/4_256 Msg = -PublicKey = 04440000002acdc38a80fbec93ea6be5ab738d4ff7f1e0a123588d47efc2d752061baee214bc99959cc1c869c00a4b15b0b788ff07b0978f38e593a386851f63be25dbfb6aa5 +PublicKey = 0000002acdc38a80fbec93ea6be5ab738d4ff7f1e0a123588d47efc2d752061baee214bc99959cc1c869c00a4b15b0b788ff07b0978f38e593a386851f63be25dbfb6aa5 Signature = 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Params = SHAKE256_20/4_256 Msg = 01020304 -PublicKey = 04440000002a4528f4261896472541f218910d1d3ef0e90e6b6214e666abc9bb4fce0383a691923abfe64a1c92f27666e8f1c476295db9e805bf5b2bde5ad82f7f47db3e0a87 +PublicKey = 0000002a4528f4261896472541f218910d1d3ef0e90e6b6214e666abc9bb4fce0383a691923abfe64a1c92f27666e8f1c476295db9e805bf5b2bde5ad82f7f47db3e0a87 Signature = 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Params = SHAKE256_20/4_256 Msg = 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Params = SHAKE256_40/4_192 Msg = -PublicKey = 043400000034da0c9ce7727c566777b155975db3d88ec4f06779f5ab3549c6c3e2f84ebc2d29799ab89702599f4fdd6cf3595581a824 +PublicKey = 00000034da0c9ce7727c566777b155975db3d88ec4f06779f5ab3549c6c3e2f84ebc2d29799ab89702599f4fdd6cf3595581a824 Signature = 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Params = SHAKE256_40/4_192 Msg = 01020304 -PublicKey = 043400000034a85a2c4a7efbb888739598776988dc05157bffa210fc6c6579ec9c7cc3723dba47e61ed0776d6afe7f630a2c0f51622b +PublicKey = 00000034a85a2c4a7efbb888739598776988dc05157bffa210fc6c6579ec9c7cc3723dba47e61ed0776d6afe7f630a2c0f51622b Signature = 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Params = SHAKE256_40/4_192 Msg = 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 -PublicKey = 0434000000341e9379c85aa1945aa638ed93b414ab7bbb2b41c3e7ae09a5aa29892fb11c8d9fa1db0abdad33b2606036945ca606cd2c +PublicKey = 000000341e9379c85aa1945aa638ed93b414ab7bbb2b41c3e7ae09a5aa29892fb11c8d9fa1db0abdad33b2606036945ca606cd2c Signature = 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Params = SHAKE256_40/4_256 Msg = -PublicKey = 04440000002cc9abe6ba0dc19dc27cfbe1b8e1ce91fd68aed923aaeeccb61cd9c8459789df370e2a5bb87ab0daebcbd8f6fa0a4f79cecf47dbbfb9509dff84363a78f3e1f5c9 +PublicKey = 0000002cc9abe6ba0dc19dc27cfbe1b8e1ce91fd68aed923aaeeccb61cd9c8459789df370e2a5bb87ab0daebcbd8f6fa0a4f79cecf47dbbfb9509dff84363a78f3e1f5c9 Signature = 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Params = SHAKE256_40/4_256 Msg = 01020304 -PublicKey = 04440000002cd55bf471997a513f6edfa48cf629b5ed1e3b62f3269197e8ab323b325986f003cb62a9445ca0a0e8619e43a5c843ca1b1e805f4a97a41087977037aa394d9acf +PublicKey = 0000002cd55bf471997a513f6edfa48cf629b5ed1e3b62f3269197e8ab323b325986f003cb62a9445ca0a0e8619e43a5c843ca1b1e805f4a97a41087977037aa394d9acf Signature = 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Params = SHAKE256_40/4_256 Msg = 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-PublicKey = 04440000002cdb6827be90367948ed8dcbde0e27aef666e702eeb0b51debcf7af4970a2e920fecb16beb3cf61f160c4d14843635151c67cef3c50aad897dc41c18a05a1b156e +PublicKey = 0000002cdb6827be90367948ed8dcbde0e27aef666e702eeb0b51debcf7af4970a2e920fecb16beb3cf61f160c4d14843635151c67cef3c50aad897dc41c18a05a1b156e Signature = 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Params = SHAKE256_40/8_192 Msg = -PublicKey = 043400000035aa7ad163aed040c62fdf2b61d69c99f6c42ee9636238e9ac0bb18e5bab3b3166254813af7ed0d23f5e7cd12dc5b37b5e +PublicKey = 00000035aa7ad163aed040c62fdf2b61d69c99f6c42ee9636238e9ac0bb18e5bab3b3166254813af7ed0d23f5e7cd12dc5b37b5e Signature = 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Params = SHAKE256_40/8_192 Msg = 01020304 -PublicKey = 04340000003525b9e5a1d1f02989d1e2b27aa8b2270d4765451da52c83ba49b045b761a2cf41890f0771831736824164177f5da8c5b2 +PublicKey = 0000003525b9e5a1d1f02989d1e2b27aa8b2270d4765451da52c83ba49b045b761a2cf41890f0771831736824164177f5da8c5b2 Signature = 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Params = SHAKE256_40/8_192 Msg = 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-PublicKey = 04340000003572836f160a6a8947eabcbce08df890429f536c75e16dd1962819eb3375a0a061bc9ec50863b57369d1243646981f2c35 +PublicKey = 0000003572836f160a6a8947eabcbce08df890429f536c75e16dd1962819eb3375a0a061bc9ec50863b57369d1243646981f2c35 Signature = 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Params = SHAKE256_40/8_256 Msg = -PublicKey = 04440000002d1a2e6b55547d3f7782d39bb239cacdb8cfa2d2217965b13a279bb937f77d3e78ab307a795fc4c3e744027602c5fc3ca048735752c68c242771ce49d35c360745 +PublicKey = 0000002d1a2e6b55547d3f7782d39bb239cacdb8cfa2d2217965b13a279bb937f77d3e78ab307a795fc4c3e744027602c5fc3ca048735752c68c242771ce49d35c360745 Signature = 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Params = SHAKE256_40/8_256 Msg = 01020304 -PublicKey = 04440000002df03ab104140efc026eb5355916deb666706939dbf8988bf8192b6127addbfe4ff3adab5a2c450c4b31cd1bbc7b4845c581b0ce452fad5a120ac8ffe4e305c65a +PublicKey = 0000002df03ab104140efc026eb5355916deb666706939dbf8988bf8192b6127addbfe4ff3adab5a2c450c4b31cd1bbc7b4845c581b0ce452fad5a120ac8ffe4e305c65a Signature = 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Params = SHAKE256_40/8_256 Msg = 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Params = SHAKE256_60/12_192 Msg = -PublicKey = 043400000038e958db700ef3b1ae39c41ad8fbdf713831a8348fff75334fa49910b4bef39df10676269b1a893367396dded786332f30 +PublicKey = 00000038e958db700ef3b1ae39c41ad8fbdf713831a8348fff75334fa49910b4bef39df10676269b1a893367396dded786332f30 Signature = 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Params = SHAKE256_60/12_192 Msg = 01020304 -PublicKey = 04340000003829d26e6c29c330fb027569313caf4861e4e8c48961a6aef8fbf8546cfe1f02506d4389402aa793b149b48d6113f59531 +PublicKey = 0000003829d26e6c29c330fb027569313caf4861e4e8c48961a6aef8fbf8546cfe1f02506d4389402aa793b149b48d6113f59531 Signature = 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Params = SHAKE256_60/12_192 Msg = 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 -PublicKey = 043400000038ba64075181983445fb94c6f0eb71fe4ccacab370a97dee224b790ca425a874fc9508c19f79d80f4a9a776c3d7add923d +PublicKey = 00000038ba64075181983445fb94c6f0eb71fe4ccacab370a97dee224b790ca425a874fc9508c19f79d80f4a9a776c3d7add923d Signature = 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Params = SHAKE256_60/12_256 Msg = -PublicKey = 044400000030379e47ca4d1bcf091c6a3af476a2d186a77515fdec1f22ad182bf1f5d614f7c92f2315978be1c44888d988cbea579cf486ef1f21387557a3ad5021cce4b72e2e +PublicKey = 00000030379e47ca4d1bcf091c6a3af476a2d186a77515fdec1f22ad182bf1f5d614f7c92f2315978be1c44888d988cbea579cf486ef1f21387557a3ad5021cce4b72e2e Signature = 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Params = SHAKE256_60/12_256 Msg = 01020304 -PublicKey = 0444000000303ed94bdfcdadfa78401aaa0e503af8bc4110230f5b27e3f24ff63ccd7479128129175d6cf5ce7130daa3828f0b178a51adbc010b0fe9dea26d70e15fb0fecdc3 +PublicKey = 000000303ed94bdfcdadfa78401aaa0e503af8bc4110230f5b27e3f24ff63ccd7479128129175d6cf5ce7130daa3828f0b178a51adbc010b0fe9dea26d70e15fb0fecdc3 Signature = 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d576ab80182fd7a169eb59e0f2a8c886c4157e27e9d78890e4c2dd064413a4649814b74041f8fd1189fb4373cf002133d1f19883db5d66e609db168fbadd771ba2ab3141a8aa56a81e0ab1600ac20a66b2237a7518888f98821334580753dedf25c82c3546e357f19c19f114a0b8f9888d4631f54001665715149fe79e14b2f598e2249f35ccdd53331ae7cd24e7102eb6847ac003df8ebc6b312d26057d0557894fd63eaec5a8e5481ded3a66393e6cab2eb144175b95c4c693eb9e Params = SHAKE256_60/12_256 Msg = 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-PublicKey = 044400000030d2ebf337706a386d2b2bdabbf68a834579fd8424c77d203830741e1abe03a4352366d26fe619280ccf071bea339cef4807592b713cea732e601aa03648e69670 +PublicKey = 00000030d2ebf337706a386d2b2bdabbf68a834579fd8424c77d203830741e1abe03a4352366d26fe619280ccf071bea339cef4807592b713cea732e601aa03648e69670 Signature = 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6f06b1bdb7d610bee0272b5681fc2d880c0c265ff3a15aec200f4d191b36e0ec46c150a1b48fbede7eecb518dd69ad48f17a514f1878e6a160b53dafb3a73adb47148ccedccf63613fcaf94c27d6e3c510efbb96d56465f12b82507da0a87fe94757dbbd06b52bdd9963a3b0af02db2d41171e479f426662dceef41304a8122eef7c93f055e21c7be204bfdc23642bf5b62835589b7fc5d4eaba5647dc4264818afa86eef2b71d362b4cdb804c823676b96792243e1fee1c1458c9cb Params = SHAKE256_60/6_192 Msg = -PublicKey = 0434000000376127fcc6612984e9b9c222a4954b6148fded8888434c2839cdd83a9e3f9552541006ab64bfb0d519b5450fe89ad01d75 +PublicKey = 000000376127fcc6612984e9b9c222a4954b6148fded8888434c2839cdd83a9e3f9552541006ab64bfb0d519b5450fe89ad01d75 Signature = 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Params = SHAKE256_60/6_192 Msg = 01020304 -PublicKey = 043400000037b00f47b985610fb428e081f9733ff0bb1a29121960265cfb58a81b8401742f96c281c9da01311fac61e3c4d05d095052 +PublicKey = 00000037b00f47b985610fb428e081f9733ff0bb1a29121960265cfb58a81b8401742f96c281c9da01311fac61e3c4d05d095052 Signature = 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Params = SHAKE256_60/6_192 Msg = 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 -PublicKey = 0434000000371066282d4b91e7726830fb087313b9757df9ef5acbfb1c092383febde95eb572eaaf54774a7a02124c609f8ae6cf3830 +PublicKey = 000000371066282d4b91e7726830fb087313b9757df9ef5acbfb1c092383febde95eb572eaaf54774a7a02124c609f8ae6cf3830 Signature = 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Params = SHAKE256_60/6_256 Msg = -PublicKey = 04440000002f9fdfa5014b5dd07f3d62f53989ceef66b8c4928feff4ba6e4ae3739e7f2d6a6b65c0991a6abdf37165430dea7408e03add6e2a07bc70b93bbe7bfb1a4ac3b5e9 +PublicKey = 0000002f9fdfa5014b5dd07f3d62f53989ceef66b8c4928feff4ba6e4ae3739e7f2d6a6b65c0991a6abdf37165430dea7408e03add6e2a07bc70b93bbe7bfb1a4ac3b5e9 Signature = 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Params = SHAKE256_60/6_256 Msg = 01020304 -PublicKey = 04440000002f00c4547138dbdd707adad73959cbbbf6e2dcb163e3404b3b9bb451f1325f4a4deeca9c3c8c32b8e5f0d387daa88fe7a2474c4b66e402dff4d0dbb08af137f25b +PublicKey = 0000002f00c4547138dbdd707adad73959cbbbf6e2dcb163e3404b3b9bb451f1325f4a4deeca9c3c8c32b8e5f0d387daa88fe7a2474c4b66e402dff4d0dbb08af137f25b Signature = 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Params = SHAKE256_60/6_256 Msg = 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-PublicKey = 04440000002f509a9ab5cb483b4906c54c0b8df65bf793c3f4415c0157a739ef2674d1af9aff3715cae4b9a5ff223d8623912af6023ac0bf5019f07025987fbd142b8e166265 +PublicKey = 0000002f509a9ab5cb483b4906c54c0b8df65bf793c3f4415c0157a739ef2674d1af9aff3715cae4b9a5ff223d8623912af6023ac0bf5019f07025987fbd142b8e166265 Signature = 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Params = SHAKE_20/2_256 Msg = -PublicKey = 04440000001108813eb9660087ac1d9cecaf0eeb098fba9e4109b1c6e3389e003949a04482740d3969683ea19cd62dc7e494c643c1db536bdb9139483b6d1b140bba4c35d5b9 +PublicKey = 0000001108813eb9660087ac1d9cecaf0eeb098fba9e4109b1c6e3389e003949a04482740d3969683ea19cd62dc7e494c643c1db536bdb9139483b6d1b140bba4c35d5b9 Signature = 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Params = SHAKE_20/2_256 Msg = 01020304 -PublicKey = 0444000000112e3ff84ea410c0d8f969dc0d5fb12681cb33e5ac338f71271cdad70ad5573a59f198022173775605c3d33a621063311eb5e77d08bb98b6fed910f883e2aad22f +PublicKey = 000000112e3ff84ea410c0d8f969dc0d5fb12681cb33e5ac338f71271cdad70ad5573a59f198022173775605c3d33a621063311eb5e77d08bb98b6fed910f883e2aad22f Signature = 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Params = SHAKE_20/2_256 Msg = 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-PublicKey = 0444000000114789249959131963f003cd236101dabaa48a72ebc8ddc619c29120bf5b9c7324a0d4f6a2d442ae5c71f0ae40873f13e88766a78f3e58b4a3564a939d7b68d4db +PublicKey = 000000114789249959131963f003cd236101dabaa48a72ebc8ddc619c29120bf5b9c7324a0d4f6a2d442ae5c71f0ae40873f13e88766a78f3e58b4a3564a939d7b68d4db Signature = 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Params = SHAKE_20/2_512 Msg = -PublicKey = 0481840000001969f8901019c9e6c22686fb69d45426b6dd37532384330bfcce089fa57de956f14ae003a92e7bfd3b7f5a48952030c3bcc5629e8670cecbc8b22c01c97c6d3193047898ab3510b8b1293480f765dc5fe37b2313948418685678ca72f4b9834b52c0bd3b9099cb5d9583e3f836a34bf4d00839c41d08d7078a9f63edc10e274307 +PublicKey = 0000001969f8901019c9e6c22686fb69d45426b6dd37532384330bfcce089fa57de956f14ae003a92e7bfd3b7f5a48952030c3bcc5629e8670cecbc8b22c01c97c6d3193047898ab3510b8b1293480f765dc5fe37b2313948418685678ca72f4b9834b52c0bd3b9099cb5d9583e3f836a34bf4d00839c41d08d7078a9f63edc10e274307 Signature = 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Params = SHAKE_20/2_512 Msg = 01020304 -PublicKey = 048184000000192d940c22fe29fc11a87b3168cd7cfe51698d1a45b08acbe0fe2c1f41c842aee588e2c0d3cb720a32e858cf42667d2574044e00f229d5332565122dc3befca26b8ac2ccb780cf8379709ea3f787fc17de959dd383f4bba1d869923ef7a92a15bd354f3b06c072ee9be2f89e333ded334ad51da52ae84c6fe5ded7e0f8f8250564 +PublicKey = 000000192d940c22fe29fc11a87b3168cd7cfe51698d1a45b08acbe0fe2c1f41c842aee588e2c0d3cb720a32e858cf42667d2574044e00f229d5332565122dc3befca26b8ac2ccb780cf8379709ea3f787fc17de959dd383f4bba1d869923ef7a92a15bd354f3b06c072ee9be2f89e333ded334ad51da52ae84c6fe5ded7e0f8f8250564 Signature = 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 Params = SHAKE_20/2_512 Msg = 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-PublicKey = 048184000000195b7c8c7564b5a7f6e1286fa2018961b2cd60716d2a540e4081a7131590e344f86f5e8a47c96860e6122d73400166c61c9a25c40194e1fe32ebb1ba453564e002116583c45c4ce498d1a44a48ff841dd2cbb80c7fdee4fc5bf3b3d48f58d0f2f7b9153201563df0c111722d4e1c171fa9772c17385becfdb9b9ae6a88de805f1b +PublicKey = 000000195b7c8c7564b5a7f6e1286fa2018961b2cd60716d2a540e4081a7131590e344f86f5e8a47c96860e6122d73400166c61c9a25c40194e1fe32ebb1ba453564e002116583c45c4ce498d1a44a48ff841dd2cbb80c7fdee4fc5bf3b3d48f58d0f2f7b9153201563df0c111722d4e1c171fa9772c17385becfdb9b9ae6a88de805f1b Signature = 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 Params = SHAKE_20/4_256 Msg = -PublicKey = 044400000012de6c1b86658c337c4e5112e8f707e439f6758cbb23d56b159061cf1ccbf519a5656154576440f53b635bc4f3cc6c777cb8feb2c1484b3cf42d8fdd31d5f92220 +PublicKey = 00000012de6c1b86658c337c4e5112e8f707e439f6758cbb23d56b159061cf1ccbf519a5656154576440f53b635bc4f3cc6c777cb8feb2c1484b3cf42d8fdd31d5f92220 Signature = 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Params = SHAKE_20/4_256 Msg = 01020304 -PublicKey = 0444000000122d8d27bd847b84bb5936e7cc50fcdf6383c1c7354f817fc88d67c8e3f08a5fb4bd47ffe68f61c40de2850ee4ed79a6dd66c4687ba9560eaf43a5dff6a254d323 +PublicKey = 000000122d8d27bd847b84bb5936e7cc50fcdf6383c1c7354f817fc88d67c8e3f08a5fb4bd47ffe68f61c40de2850ee4ed79a6dd66c4687ba9560eaf43a5dff6a254d323 Signature = 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Params = SHAKE_20/4_256 Msg = 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Params = SHAKE_20/4_512 Msg = -PublicKey = 0481840000001a5cdc97c4aa3a5ec19b6f7b9ebe8af9ae3ffcfb8db05d586aecd3f6384c4f1f93762da654d312c8b2516f1db2ad40cc611a095010a8c3ce4bc41b01aa81b0f85e5c0f287e071a40c312c17f4e4cd08a4f0c442a77f9defda1d7151093a25ea8efc8117d8ad7639bc33b6c1503d718ac2697c2e32e9953fd8eb335eda276194cd2 +PublicKey = 0000001a5cdc97c4aa3a5ec19b6f7b9ebe8af9ae3ffcfb8db05d586aecd3f6384c4f1f93762da654d312c8b2516f1db2ad40cc611a095010a8c3ce4bc41b01aa81b0f85e5c0f287e071a40c312c17f4e4cd08a4f0c442a77f9defda1d7151093a25ea8efc8117d8ad7639bc33b6c1503d718ac2697c2e32e9953fd8eb335eda276194cd2 Signature = 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Params = SHAKE_20/4_512 Msg = 01020304 -PublicKey = 0481840000001a676b91f16f3ffa9f838bdeabc3c826c17bc8c9788c547e924402a06e90a14a5ee4f8dfd620989e7efa0cbe3a93ad556376a678f3ebc81afb2cafff76aa0e7f044b810e266fa44766aab62c28683807f5f4334f24cbcb144c608b94d9527baad4348c506b513c98fd1caf9bd0d1992c2b483a3e1066e40666ddc3d5bb33d138ef +PublicKey = 0000001a676b91f16f3ffa9f838bdeabc3c826c17bc8c9788c547e924402a06e90a14a5ee4f8dfd620989e7efa0cbe3a93ad556376a678f3ebc81afb2cafff76aa0e7f044b810e266fa44766aab62c28683807f5f4334f24cbcb144c608b94d9527baad4348c506b513c98fd1caf9bd0d1992c2b483a3e1066e40666ddc3d5bb33d138ef Signature = 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Params = SHAKE_20/4_512 Msg = 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Params = SHAKE_40/4_256 Msg = -PublicKey = 04440000001466fc1be871efe666aed2eebf298448a1a32c22d1a08e8bb4eceb3fae46c0d1238af51de4244b97701539ac35b9d1d96afb3c71f8621cb7c3b46601988ea0eaa0 +PublicKey = 0000001466fc1be871efe666aed2eebf298448a1a32c22d1a08e8bb4eceb3fae46c0d1238af51de4244b97701539ac35b9d1d96afb3c71f8621cb7c3b46601988ea0eaa0 Signature = 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Params = SHAKE_40/4_256 Msg = 01020304 -PublicKey = 04440000001495d516f8d25b305c51a032e633ef379df7b5438415f43fe7cf6795a8d4e98d3128d4c2981145a446ae9da485e3322c823776b56b4eeecd91ee078dad558fadfd +PublicKey = 0000001495d516f8d25b305c51a032e633ef379df7b5438415f43fe7cf6795a8d4e98d3128d4c2981145a446ae9da485e3322c823776b56b4eeecd91ee078dad558fadfd Signature = 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Params = SHAKE_40/4_256 Msg = 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-PublicKey = 0444000000145fd21e784d05878e1f42518091006f24895a96a79d879a26e2a22600b2373c096c75e1c97cd89216e56b1e46e2f0f771af43f8789c69e84de8ae2d7e1227e2fb +PublicKey = 000000145fd21e784d05878e1f42518091006f24895a96a79d879a26e2a22600b2373c096c75e1c97cd89216e56b1e46e2f0f771af43f8789c69e84de8ae2d7e1227e2fb Signature = 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Params = SHAKE_40/4_512 Msg = -PublicKey = 0481840000001c4f06e698474f1ee684d5bc7d16edb5133c09d92c58fbda2dcca047525cf82823afc0825c4bcc64125894686b887669f859fb8b69093253940d4856494dc34be1395e8d46f92145ef25dedbb8bdd492457c7669374a287459888dbbae1639ba488c84f56d1ea85c224516d9e98b08773c374578c60a55c350d40e7e1561272e5f +PublicKey = 0000001c4f06e698474f1ee684d5bc7d16edb5133c09d92c58fbda2dcca047525cf82823afc0825c4bcc64125894686b887669f859fb8b69093253940d4856494dc34be1395e8d46f92145ef25dedbb8bdd492457c7669374a287459888dbbae1639ba488c84f56d1ea85c224516d9e98b08773c374578c60a55c350d40e7e1561272e5f Signature = 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Params = SHAKE_40/4_512 Msg = 01020304 -PublicKey = 0481840000001ca2b9660e96d679729670b192bb0c4d791871b541c259aebee931bca8ef87612d252b460d66b3be2178aa1c8cd2df19a7e5313193f0ce89c5602cd977874b73851dea386c7e6bd385c7424744bdeea1421ba99a9287e4b27e03480b6751f54e467702d4adfbe75ca3ac90146e8e7a3adc6c8d39b7531bacf7260965a626b4bf86 +PublicKey = 0000001ca2b9660e96d679729670b192bb0c4d791871b541c259aebee931bca8ef87612d252b460d66b3be2178aa1c8cd2df19a7e5313193f0ce89c5602cd977874b73851dea386c7e6bd385c7424744bdeea1421ba99a9287e4b27e03480b6751f54e467702d4adfbe75ca3ac90146e8e7a3adc6c8d39b7531bacf7260965a626b4bf86 Signature = 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Params = SHAKE_40/4_512 Msg = 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Params = SHAKE_40/8_256 Msg = -PublicKey = 044400000015a5b7cfde4dc0792e837e4f577407794e69ba0e496024c93e318d0a6bf62920cfa9bf77205bdfe640386c549d763f7a3caa23fb0a2b9846fccd5a8c9f3193f7bf +PublicKey = 00000015a5b7cfde4dc0792e837e4f577407794e69ba0e496024c93e318d0a6bf62920cfa9bf77205bdfe640386c549d763f7a3caa23fb0a2b9846fccd5a8c9f3193f7bf Signature = 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Params = SHAKE_40/8_256 Msg = 01020304 -PublicKey = 0444000000151c58a896f0ff0e2f22cf8a04d3b95a60375c547d8b286134d9ecbb3505b9b972e96f573ce4ad6cde82798b9c9b5b16a8346265c9bda0521b5b0d337f8bd4b55c +PublicKey = 000000151c58a896f0ff0e2f22cf8a04d3b95a60375c547d8b286134d9ecbb3505b9b972e96f573ce4ad6cde82798b9c9b5b16a8346265c9bda0521b5b0d337f8bd4b55c Signature = 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Params = SHAKE_40/8_256 Msg = 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Params = SHAKE_40/8_512 Msg = -PublicKey = 0481840000001d2945b25323e02e732b32ebf6a9f19ef7ac5acdf5bb11d30bedacf703d47029633e35294aec18900ad80dbece011b8ef9309cc05461c92d00607beabf1a5091c518885fd09060997cbc529c35b4be322519f03faf3bc00fd660a6ab875ef09160a01973272419c53224b08621ba57e58f6c084d6f08f1f3496ba5636c37562ca8 +PublicKey = 0000001d2945b25323e02e732b32ebf6a9f19ef7ac5acdf5bb11d30bedacf703d47029633e35294aec18900ad80dbece011b8ef9309cc05461c92d00607beabf1a5091c518885fd09060997cbc529c35b4be322519f03faf3bc00fd660a6ab875ef09160a01973272419c53224b08621ba57e58f6c084d6f08f1f3496ba5636c37562ca8 Signature = 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Params = SHAKE_40/8_512 Msg = 01020304 -PublicKey = 0481840000001d451cb4658204a6ba2e2dc5fb8dafa25346eb637f09825740e4c7496c0d8ff185807ecaa73200f37501a62a88355e1504e005af4b4be6d0b90b5c988076f788ef04674663a643eb66dc6cef48234315af1326bfbbbc74cfa86442701402e364fc9ef30c4f7e9461ec9f219a31f0e1875c78da32100001987962320e124b4bee7f +PublicKey = 0000001d451cb4658204a6ba2e2dc5fb8dafa25346eb637f09825740e4c7496c0d8ff185807ecaa73200f37501a62a88355e1504e005af4b4be6d0b90b5c988076f788ef04674663a643eb66dc6cef48234315af1326bfbbbc74cfa86442701402e364fc9ef30c4f7e9461ec9f219a31f0e1875c78da32100001987962320e124b4bee7f Signature = 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Params = SHAKE_40/8_512 Msg = 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-PublicKey = 0481840000001dfc808a6d921bbb8f2b56ffd92d3a33dee7e1d527b48a441e1ea75caff68fb93bada4be1c85ea39767cb62facc5ca91181fae534b496e87317aa67a9973a5410eb6bdfd76ddaf0af6a467cb7e758384c6ccb4ec44b3cfd4ab5f212f8fdbd153e3c6e6ae2b5b647968cc1be82350719b75d11b826c84043072fd4054839e27f041 +PublicKey = 0000001dfc808a6d921bbb8f2b56ffd92d3a33dee7e1d527b48a441e1ea75caff68fb93bada4be1c85ea39767cb62facc5ca91181fae534b496e87317aa67a9973a5410eb6bdfd76ddaf0af6a467cb7e758384c6ccb4ec44b3cfd4ab5f212f8fdbd153e3c6e6ae2b5b647968cc1be82350719b75d11b826c84043072fd4054839e27f041 Signature = 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Params = SHAKE_60/12_256 Msg = -PublicKey = 044400000018f13c7076c281decd657736542eccea16af12835a8778b7b4d4e801ffac62e6aa614082b7324c81ef10b36841e140149e7842fb9fbedad5eb8168b0efc3043a11 +PublicKey = 00000018f13c7076c281decd657736542eccea16af12835a8778b7b4d4e801ffac62e6aa614082b7324c81ef10b36841e140149e7842fb9fbedad5eb8168b0efc3043a11 Signature = 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Params = SHAKE_60/12_256 Msg = 01020304 -PublicKey = 0444000000182953eaea29a40c672963f35be24bfd3f040c144b0203db41d6df5599c55282a255aa0306797e41c4e51afa5c440e9039543fed1f612034ede95df87d60149c93 +PublicKey = 000000182953eaea29a40c672963f35be24bfd3f040c144b0203db41d6df5599c55282a255aa0306797e41c4e51afa5c440e9039543fed1f612034ede95df87d60149c93 Signature = 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06b1f0f9ce7fe35496518d1b8c9f8147ceab98e9133c1544f9dfc26a2290351d7dee94d61bd2a3ab13143510e0278e523a8574fac4205ae2055de7dc7faa0a2e4cc20fee43d2fd931be2e02ae05451b55bc6ab1991b4d411d98b751eedaf3c143ea0d3b80dc7893a48d332c43784cf29c9518c0b48b7f42ed61dac4e5745c5e2acd58b3f457ad6f80f27f88414042eb9cd3e67a64600a69a8ea73854cea3eb312000ec1ba72ba4f1664d2176bf90addecfb3b2eec71fc27b2632497c Params = SHAKE_60/12_256 Msg = 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-PublicKey = 044400000018ee479c212a8ed668d66521e52355f3714b36ac2b2b62487b65c8b1edaa0b43c4f6006fff5a5b4cfe5e6150ccf66d0a102980dc0c2a9f5991f0d6c744104a06dd +PublicKey = 00000018ee479c212a8ed668d66521e52355f3714b36ac2b2b62487b65c8b1edaa0b43c4f6006fff5a5b4cfe5e6150ccf66d0a102980dc0c2a9f5991f0d6c744104a06dd Signature = 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f306b8db72e05e9fc87f900a13ac0f4a15698ff94ff3e7e2e127bd84e92bd6dd82199a12a545c04501303637d669c97b3fa6ed0d087cf0fd178ae0df02253b25fdca18695b4af9656e79c2143a3b74fcbecc3ba83fefb215f0473b1edc05f262b5f8bd2aeb41e0eb7001fd493a8053c78bce216fbe2f09103665790f068e0f356a0e5cfd71aa001b7692ddb7f3f0d4d7f05a7b0bf9109dea80f705f5963ec60d6c687bad1a09efc418f4e11796f64f1ca070bd9a98bb434595f6d623 Params = SHAKE_60/12_512 Msg = -PublicKey = 0481840000002067e83612f1813d388defa441816e4bb2210f3d8c7bd825106e29bb2de96d4d85ab51297d16f4ec134a448c43e3b3653b479f21df328af143ff1b86d569b7dfe1bcf12dd960ee5e819957ffc9929b93f562c0632d6bc0a1ca8c0a616d70a7d03d2b5ed0c982f082b4e7de02a57406c0c92a7fd7ab95a09a8fe010db668c2c076c +PublicKey = 0000002067e83612f1813d388defa441816e4bb2210f3d8c7bd825106e29bb2de96d4d85ab51297d16f4ec134a448c43e3b3653b479f21df328af143ff1b86d569b7dfe1bcf12dd960ee5e819957ffc9929b93f562c0632d6bc0a1ca8c0a616d70a7d03d2b5ed0c982f082b4e7de02a57406c0c92a7fd7ab95a09a8fe010db668c2c076c Signature = 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Params = SHAKE_60/12_512 Msg = 01020304 -PublicKey = 04818400000020b692f86e60c27d8e568b260f74bc2410ff28e0c48deef30e6317b4446eec2ba5878aa80587bcd3647e2fd187d9b3b0419f793a6d713650eb33b06d0196c914b6366c34e85ca6c9662c0b17e7dba9eda5aeaca3809497b2b422352a70ae9185918649519f7e190d7bb055d2163bcefb88e891fd247e7863ba8368df5374388970 +PublicKey = 00000020b692f86e60c27d8e568b260f74bc2410ff28e0c48deef30e6317b4446eec2ba5878aa80587bcd3647e2fd187d9b3b0419f793a6d713650eb33b06d0196c914b6366c34e85ca6c9662c0b17e7dba9eda5aeaca3809497b2b422352a70ae9185918649519f7e190d7bb055d2163bcefb88e891fd247e7863ba8368df5374388970 Signature = 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Params = SHAKE_60/12_512 Msg = 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Params = SHAKE_60/6_256 Msg = -PublicKey = 0444000000179b9a36b7b54a969f001408a8116966f502db487d340b75523f256948369a8117f2367aa6c1d6609a28e3ff02a0122a7aa8d658858db5f5b14ff184e4b596f694 +PublicKey = 000000179b9a36b7b54a969f001408a8116966f502db487d340b75523f256948369a8117f2367aa6c1d6609a28e3ff02a0122a7aa8d658858db5f5b14ff184e4b596f694 Signature = 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Params = SHAKE_60/6_256 Msg = 01020304 -PublicKey = 044400000017c6c696a8d1aea703c4033fbcc05b87a8542ab2399235bd9a86a2838d833cd520696e39a10273fc73007ba385e78b3572215dabbe4d984cbd9e2f6181c5e6f271 +PublicKey = 00000017c6c696a8d1aea703c4033fbcc05b87a8542ab2399235bd9a86a2838d833cd520696e39a10273fc73007ba385e78b3572215dabbe4d984cbd9e2f6181c5e6f271 Signature = 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Params = SHAKE_60/6_256 Msg = 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-PublicKey = 044400000017bac2d4a0eaa125f13fb183b5a5fd410e11a3c1dbcec5a51e35edb4033010d476a87a26b2adaf65ee1a425fcc70fcbfcc7da0c3d33ffeb89736a057925e1474cc +PublicKey = 00000017bac2d4a0eaa125f13fb183b5a5fd410e11a3c1dbcec5a51e35edb4033010d476a87a26b2adaf65ee1a425fcc70fcbfcc7da0c3d33ffeb89736a057925e1474cc Signature = 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Params = SHAKE_60/6_512 Msg = -PublicKey = 0481840000001f483185df587ab6f9328d80c67df426420f80e625068d5cbd72c5a9575d8016901a407e85c431a3de5f1dc9152a5d170ae36f0425851deb2b74608c50dc8744ed61fa8f0bdc9ff0a23a0147e953de6f4d2f1a18414d74c2c7954feb38586e4eff396eb721b2103613802769fabed3da27db6cf08d501ad02d10b7e31332505403 +PublicKey = 0000001f483185df587ab6f9328d80c67df426420f80e625068d5cbd72c5a9575d8016901a407e85c431a3de5f1dc9152a5d170ae36f0425851deb2b74608c50dc8744ed61fa8f0bdc9ff0a23a0147e953de6f4d2f1a18414d74c2c7954feb38586e4eff396eb721b2103613802769fabed3da27db6cf08d501ad02d10b7e31332505403 Signature = 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Params = SHAKE_60/6_512 Msg = 01020304 -PublicKey = 0481840000001fddb7cb5d71df2027a869dbe0fd501df2e707fca7e14dfa93637125441ef18d53a7fc3c705caa8f615099a90021e57682622b028a49b1c94b77fbda86ef7e2e5f923fb6590402f221e8e894075cc9442a295705c53ee6f1b33f25b5d2a53b556d4ffb97767a23dbb3c69317db56de8db54b90438b65812d73c7cf18d166de897e +PublicKey = 0000001fddb7cb5d71df2027a869dbe0fd501df2e707fca7e14dfa93637125441ef18d53a7fc3c705caa8f615099a90021e57682622b028a49b1c94b77fbda86ef7e2e5f923fb6590402f221e8e894075cc9442a295705c53ee6f1b33f25b5d2a53b556d4ffb97767a23dbb3c69317db56de8db54b90438b65812d73c7cf18d166de897e Signature = 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Params = SHAKE_60/6_512 Msg = 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