From 33dee338d7b0dd3e1254feb126987b08ceb92a39 Mon Sep 17 00:00:00 2001 From: Jake Massimo Date: Mon, 18 Nov 2024 11:53:28 -0800 Subject: [PATCH 01/12] added internal APIs for ml-dsa --- crypto/CMakeLists.txt | 1 - crypto/dilithium/kat/MLDSA_65_hedged_pure.txt | 1199 +++++++++++++++++ crypto/dilithium/kat/mldsa65.txt | 902 ------------- crypto/dilithium/ml_dsa.c | 35 + crypto/dilithium/ml_dsa.h | 43 +- crypto/dilithium/p_pqdsa_test.cc | 86 +- .../pqcrystals_dilithium_ref_common/README.md | 5 +- .../pqcrystals_dilithium_ref_common/sign.c | 251 +++- .../pqcrystals_dilithium_ref_common/sign.h | 20 +- crypto/rand_extra/pq_custom_randombytes.c | 49 - crypto/rand_extra/pq_custom_randombytes.h | 32 - generated-src/crypto_test_data.cc | 588 ++++---- sources.cmake | 2 +- 13 files changed, 1779 insertions(+), 1434 deletions(-) create mode 100644 crypto/dilithium/kat/MLDSA_65_hedged_pure.txt delete mode 100644 crypto/dilithium/kat/mldsa65.txt delete mode 100644 crypto/rand_extra/pq_custom_randombytes.c delete mode 100644 crypto/rand_extra/pq_custom_randombytes.h diff --git a/crypto/CMakeLists.txt b/crypto/CMakeLists.txt index 4874b448ea..8b82dd5dc5 100644 --- a/crypto/CMakeLists.txt +++ b/crypto/CMakeLists.txt @@ -479,7 +479,6 @@ add_library( rand_extra/forkunsafe.c rand_extra/fuchsia.c rand_extra/rand_extra.c - rand_extra/pq_custom_randombytes.c rand_extra/trusty.c rand_extra/windows.c rc4/rc4.c diff --git a/crypto/dilithium/kat/MLDSA_65_hedged_pure.txt b/crypto/dilithium/kat/MLDSA_65_hedged_pure.txt new file mode 100644 index 0000000000..01e84da7ea --- /dev/null +++ b/crypto/dilithium/kat/MLDSA_65_hedged_pure.txt @@ -0,0 +1,1199 @@ +count = 0 +xi = f696484048ec21f96cf50a56d0759c448f3779752f0383d37449690694cf7a68 +rng = 6dbbc4375136df3b07f7c70e639e223e177e7fd53b161b3f4d57791794f12624 +seed = 23f1c88bd0e65f2c891ce865bd3275a7ffdbe4f9036e75b96aad0412650e9cd2ea4591d4ab7131ea971b34c23a4ed245 +pk = 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 +sk = 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+msg = 20a7b7e10f70496cc38220b944def699 +mlen = 16 +sm = 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+mlen = 512 +sm = 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+smlen = 3821 +ctx = 24fbacf30564541fb5b71e11fbfb136a + +count = 32 +xi = 63e841397a11ef899920b56dec444a79515c0fff87dcaf32746832f569c931fa +rng = 13e125e41c44d1cf25fbceb795eef64a520e423d2363556bc375986819705f66 +seed = 97176bd44c7465814a6fbb50d87c58b3b34de778bba619bb7f1319b1035e433f2df79400a98f5c684b2e363ae22a6004 +pk = 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+msg = 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+mlen = 752 +sm = 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+mlen = 832 +sm = 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+smlen = 4141 +ctx = 0c40031d005731008e46e1e4452b241c + +count = 52 +xi = f825dfed3251b9d0400f3ce813e3beb792c7e573ca95c44617118cc26eafba90 +rng = cdb6ea699d72f71e0a2f95f46ed548eab640c8c53f245dcb284a487e763b6678 +seed = 4203e4b88e8e344288c7fd06154c9a3152d073e3bfeef5a90ba1e6c98b8e953697d29416e50dc807fa055fd5171e3a1b +pk = 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+mlen = 848 +sm = 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+mlen = 880 +sm = 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+mlen = 896 +sm = 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+mlen = 1024 +sm = 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+mlen = 1168 +sm = 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+smlen = 4477 +ctx = 87e67fe2d743fe1ab7cdd7f9166aa82b + +count = 73 +xi = b521fb4064959cba6d48d006eb9825f9361bb72facc0a4f5f07033731b33ec64 +rng = 3ccc9ca653dfced2a1fe1748270188cd629bae7c51afc5d4de7665da415102f1 +seed = 3c644a0725d982eb0bc6bb4e463ca7816c2e15cd794af5f829dcfe0054b709b91492bad495c7a5c172ad5827b1b01751 +pk = 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+mlen = 1248 +sm = 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+mlen = 1600 +sm = 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+smlen = 4909 +ctx = 0a37dc6c1952bc1d363a68381062ad3e diff --git a/crypto/dilithium/kat/mldsa65.txt b/crypto/dilithium/kat/mldsa65.txt deleted file mode 100644 index d67df9ecd1..0000000000 --- a/crypto/dilithium/kat/mldsa65.txt +++ /dev/null @@ -1,902 +0,0 @@ -# Dilithium3 - -count = 0 -seed = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1 -mlen = 33 -msg = D81C4D8D734FCBFBEADE3D3F8A039FAA2A2C9957E835AD55B22E75BF57BB556AC8 -pk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- -count = 17 -seed = 327CE565CFF6CD9A25EDD84F482FA0758B78CBC246567DAE98B818314AE28CD438E339043EB3FF16E1C2B4B104A717B8 -mlen = 594 -msg = 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- -count = 19 -seed = 716354F7DEAE272CD26929C0932CA257AED1DD23D67260726B5213D82E61466FA99BB6A7D81DEE9D0EBE03DEEE4DBFC7 -mlen = 660 -msg = 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- diff --git a/crypto/dilithium/ml_dsa.c b/crypto/dilithium/ml_dsa.c index 267ef0381f..7f2d8a8d0a 100644 --- a/crypto/dilithium/ml_dsa.c +++ b/crypto/dilithium/ml_dsa.c @@ -32,6 +32,14 @@ int ml_dsa_65_keypair(uint8_t *public_key /* OUT */, return (crypto_sign_keypair(¶ms, public_key, private_key) == 0); } +int ml_dsa_65_keypair_internal(uint8_t *public_key /* OUT */, + uint8_t *private_key /* OUT */, + const uint8_t *seed /* IN */) { + ml_dsa_params params; + ml_dsa_65_params_init(¶ms); + return crypto_sign_keypair_internal(¶ms, public_key, private_key, seed) == 0; +} + int ml_dsa_65_sign(const uint8_t *private_key /* IN */, uint8_t *sig /* OUT */, size_t *sig_len /* OUT */, @@ -45,6 +53,20 @@ int ml_dsa_65_sign(const uint8_t *private_key /* IN */, ctx_string, ctx_string_len, private_key) == 0; } +int ml_dsa_65_sign_internal(const uint8_t *private_key /* IN */, + uint8_t *sig /* OUT */, + size_t *sig_len /* OUT */, + const uint8_t *message /* IN */, + size_t message_len /* IN */, + const uint8_t *pre /* IN */, + size_t pre_len /* IN */, + uint8_t *rnd /* IN */) { + ml_dsa_params params; + ml_dsa_65_params_init(¶ms); + return crypto_sign_signature_internal(¶ms, sig, sig_len, message, message_len, + pre, pre_len, rnd, private_key) == 0; +} + int ml_dsa_65_verify(const uint8_t *public_key /* IN */, const uint8_t *sig /* IN */, size_t sig_len /* IN */, @@ -57,3 +79,16 @@ int ml_dsa_65_verify(const uint8_t *public_key /* IN */, return crypto_sign_verify(¶ms, sig, sig_len, message, message_len, ctx_string, ctx_string_len, public_key) == 0; } + +int ml_dsa_65_verify_internal(const uint8_t *public_key /* IN */, + const uint8_t *sig /* IN */, + size_t sig_len /* IN */, + const uint8_t *message /* IN */, + size_t message_len /* IN */, + const uint8_t *pre /* IN */, + size_t pre_len /* IN */) { + ml_dsa_params params; + ml_dsa_65_params_init(¶ms); + return crypto_sign_verify_internal(¶ms, sig, sig_len, message, message_len, + pre, pre_len, public_key) == 0; +} diff --git a/crypto/dilithium/ml_dsa.h b/crypto/dilithium/ml_dsa.h index 9716d260a6..3ae858552d 100644 --- a/crypto/dilithium/ml_dsa.h +++ b/crypto/dilithium/ml_dsa.h @@ -15,22 +15,39 @@ #define MLDSA65_KEYGEN_SEED_BYTES 32 #define MLDSA65_SIGNATURE_SEED_BYTES 32 +#if defined(__cplusplus) +extern "C" { +#endif + int ml_dsa_65_keypair(uint8_t *public_key, - uint8_t *private_key); + uint8_t *secret_key); + +int ml_dsa_65_keypair_internal(uint8_t *public_key, + uint8_t *private_key, + const uint8_t *seed); int ml_dsa_65_sign(const uint8_t *private_key, - uint8_t *sig, - size_t *sig_len, - const uint8_t *message, - size_t message_len, - const uint8_t *ctx_string, - size_t ctx_string_len); + uint8_t *sig, size_t *sig_len, + const uint8_t *message, size_t message_len, + const uint8_t *ctx_string, size_t ctx_len); + +int ml_dsa_65_sign_internal(const uint8_t *private_key, + uint8_t *sig, size_t *sig_len, + const uint8_t *message, size_t message_len, + const uint8_t *pre, size_t pre_len, + uint8_t *rnd); int ml_dsa_65_verify(const uint8_t *public_key, - const uint8_t *sig, - size_t sig_len, - const uint8_t *message, - size_t message_len, - const uint8_t *ctx_string, - size_t ctx_string_len); + const uint8_t *sig, size_t sig_len, + const uint8_t *message, size_t message_len, + const uint8_t *ctx_string, size_t ctx_string_len); + +int ml_dsa_65_verify_internal(const uint8_t *public_key, + const uint8_t *sig, size_t sig_len, + const uint8_t *message, size_t message_len, + const uint8_t *pre, size_t pre_len); +#if defined(__cplusplus) +} +#endif + #endif diff --git a/crypto/dilithium/p_pqdsa_test.cc b/crypto/dilithium/p_pqdsa_test.cc index a343d2969b..1c7c1202c0 100644 --- a/crypto/dilithium/p_pqdsa_test.cc +++ b/crypto/dilithium/p_pqdsa_test.cc @@ -10,7 +10,6 @@ #include "../test/test_util.h" #include -#include "../crypto/evp_extra/internal.h" #include "../fipsmodule/evp/internal.h" #include "../internal.h" #include "internal.h" @@ -19,7 +18,6 @@ #include "../test/file_test.h" #include "../test/test_util.h" -#include "../rand_extra/pq_custom_randombytes.h" #include "ml_dsa.h" // mldsa65kPublicKey is an example ML-DSA-65 public key @@ -357,7 +355,7 @@ CMP_VEC_AND_PTR(vec, pkey->pkey.pqdsa_key->public_key, len) CMP_VEC_AND_PTR(vec, pkey->pkey.pqdsa_key->private_key, len) static const struct PQDSATestVector parameterSet[] = { - {"MLDSA65", NID_MLDSA65, 1952, 4032, 3309, "dilithium/kat/mldsa65.txt", mldsa65kPublicKey, mldsa65kPublicKeySPKI, 1974}, + {"MLDSA65", NID_MLDSA65, 1952, 4032, 3309, "dilithium/kat/MLDSA_65_hedged_pure.txt", mldsa65kPublicKey, mldsa65kPublicKeySPKI, 1974}, }; class PQDSAParameterTest : public testing::TestWithParam {}; @@ -373,65 +371,59 @@ TEST_P(PQDSAParameterTest, KAT) { FileTestGTest(kat_filepath.c_str(), [&](FileTest *t) { std::string count, mlen, smlen; - std::vector seed, msg, pk, sk, sm; + std::vector xi, rng, seed, msg, pk, sk, sm, ctxstr; ASSERT_TRUE(t->GetAttribute(&count, "count")); + ASSERT_TRUE(t->GetBytes(&xi, "xi")); + ASSERT_TRUE(t->GetBytes(&rng, "rng")); ASSERT_TRUE(t->GetBytes(&seed, "seed")); - ASSERT_TRUE(t->GetAttribute(&mlen, "mlen")); - ASSERT_TRUE(t->GetBytes(&msg, "msg")); ASSERT_TRUE(t->GetBytes(&pk, "pk")); ASSERT_TRUE(t->GetBytes(&sk, "sk")); - ASSERT_TRUE(t->GetAttribute(&smlen, "smlen")); + ASSERT_TRUE(t->GetBytes(&msg, "msg")); + ASSERT_TRUE(t->GetAttribute(&mlen, "mlen")); ASSERT_TRUE(t->GetBytes(&sm, "sm")); + ASSERT_TRUE(t->GetAttribute(&smlen, "smlen")); + ASSERT_TRUE(t->GetBytes(&ctxstr, "ctx")); size_t pk_len = GetParam().public_key_len; size_t sk_len = GetParam().private_key_len; size_t sig_len = GetParam().signature_len; - // The KAT files generated by the dilithium team use the optional APIs that - // create a signature for a message m and append the message to the end of - // the signature. We only want to bring the APIs that create and verify just - // the signature, therefore each signature is a constant - // DILITHIUM3_SIGNATURE_BYTES and we truncate the KAT's signed message down, - // "sm" down to a constant DILITHIUM3_SIGNATURE_BYTES. - + std::vector pub(pk_len); + std::vector priv(sk_len); std::vector signature(sig_len); - sm.resize(sig_len); - // Convert string read from KAT to int size_t mlen_int = std::stoi(mlen); + sm.resize(sig_len); - // Here we fix the DRBG (AES-CTR) so that we are able to seed it with the - // seed from the KAT (testing only) - pq_custom_randombytes_use_deterministic_for_testing(); - pq_custom_randombytes_init_for_testing(seed.data()); - - // Generate our dilithium public and private key pair - bssl::UniquePtr pctx(EVP_PKEY_CTX_new_id(EVP_PKEY_PQDSA, nullptr)); - ASSERT_TRUE(pctx); - ASSERT_TRUE(EVP_PKEY_CTX_pqdsa_set_params(pctx.get(),GetParam().nid)); - ASSERT_TRUE(EVP_PKEY_keygen_init(pctx.get())); - EVP_PKEY *raw = nullptr; - ASSERT_TRUE(EVP_PKEY_keygen(pctx.get(), &raw)); - bssl::UniquePtr pkey(raw); - - // Compare the expected public/secret key from KATs with generated values - CMP_VEC_AND_PKEY_PUBLIC(pk, pkey, pk_len); - CMP_VEC_AND_PKEY_SECRET(sk, pkey, sk_len); - - // Generate a signature for the message - // We use EVP_DigestSign because dilithium supports the use of - // non-hash-then-sign (just like ed25519) so we first init EVP_DigestSign - // WITHOUT a hash function. - bssl::ScopedEVP_MD_CTX ctx; - ASSERT_TRUE(EVP_DigestSignInit(ctx.get(), nullptr, nullptr, nullptr, pkey.get())); - ASSERT_TRUE(EVP_DigestSign(ctx.get(), signature.data(), &sig_len, msg.data(), mlen_int)); - EXPECT_EQ(Bytes(sm), Bytes(signature.data(), sig_len)); - ctx.Reset(); - - // Verify the signature - ASSERT_TRUE(EVP_DigestVerifyInit(ctx.get(), nullptr, nullptr, nullptr, pkey.get())); - ASSERT_TRUE(EVP_DigestVerify(ctx.get(), signature.data(), sig_len, msg.data(), mlen_int)); + // Generate key pair from seed xi and assert that public and private keys + // are equal to expected values from KAT + ASSERT_TRUE(ml_dsa_65_keypair_internal(pub.data(),priv.data(),xi.data())); + EXPECT_EQ(Bytes(pub), Bytes(pk)); + EXPECT_EQ(Bytes(priv), Bytes(sk)); + + // Prepare m_prime = (0 || ctxlen || ctx) as in FIPS 204: Algorithm 2 line 10 + size_t i; + uint8_t m_prime[257]; + size_t m_prime_len = ctxstr.size() + 2; + m_prime[0] = 0; + m_prime[1] = ctxstr.size(); + for(i = 0; i < ctxstr.size(); i++) { + m_prime[2 + i] = ctxstr[i]; + } + + // Generate signature by signing |msg|, assert that signature is equal + // to expected value from KAT, then verify signature. + ASSERT_TRUE(ml_dsa_65_sign_internal(priv.data(), + signature.data(), &sig_len, + msg.data(), mlen_int, + m_prime,m_prime_len, + rng.data())); + ASSERT_EQ(Bytes(signature), Bytes(sm)); + ASSERT_TRUE(ml_dsa_65_verify_internal(pub.data(), + signature.data(), sig_len, + msg.data(), mlen_int, + m_prime, m_prime_len)); }); } diff --git a/crypto/dilithium/pqcrystals_dilithium_ref_common/README.md b/crypto/dilithium/pqcrystals_dilithium_ref_common/README.md index 3ec0af90b6..9fe0d8c703 100644 --- a/crypto/dilithium/pqcrystals_dilithium_ref_common/README.md +++ b/crypto/dilithium/pqcrystals_dilithium_ref_common/README.md @@ -10,7 +10,7 @@ The code was refactored in [this PR](https://github.com/aws/aws-lc/pull/1910) by that initialize a given structure with values corresponding to a parameter set. This structure is then passed to every function that requires it as a function argument. In addition, the following changes were made to the source code in `pqcrystals_dilithium_ref_common` directory: - `randombytes.{h|c}` are deleted because we are using the randomness generation functions provided by AWS-LC. -- `sign.c`: calls to `randombytes` function is replaced with calls to `pq_custom_randombytes` and the appropriate header file is included (`crypto/rand_extra/pq_custom_randombytes.h`). +- `sign.c`: calls to `randombytes` function is replaced with calls to `RAND_bytes` and the appropriate header file is included (`openssl/rand.h`). - `ntt.c`, `poly.c`, `reduce.c`, `reduce.h`: have been modified with a code refactor. The function `fqmul` has been added to bring mode code consistency with Kyber/ML-KEM. See https://github.com/aws/aws-lc/pull/1748 for more details on this change. - `reduce.c`: a small fix to documentation has been made on the bounds of `reduce32`. - `poly.c`: a small fix to documentation has been made on the bounds of `poly_reduce`. @@ -18,5 +18,4 @@ that initialize a given structure with values corresponding to a parameter set. **Testing** -The KATs were obtained from https://github.com/pq-crystals/dilithium/tree/master/ref/nistkat. -To compile the KAT programs on Linux or macOS, go to the `ref/` directory and run `make nistkat`. This will produce executables within `nistkat` which once executed will produce the KATs: `PQCsignKAT_Dilithium2.rsp`, `PQCsignKAT_Dilithium3.rsp`,`PQCsignKAT_Dilithium5.rsp`. +The KATs were obtained from https://github.com/post-quantum-cryptography/KAT. \ No newline at end of file diff --git a/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c b/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c index e3e170a8bc..aaeaf5afba 100644 --- a/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c +++ b/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c @@ -1,27 +1,33 @@ -#include -#include "params.h" #include "sign.h" +#include +#include "../../internal.h" +#include "openssl/rand.h" +#include "fips202.h" #include "packing.h" -#include "polyvec.h" +#include "params.h" #include "poly.h" -#include "../../rand_extra/pq_custom_randombytes.h" +#include "polyvec.h" #include "symmetric.h" -#include "fips202.h" /************************************************* -* Name: crypto_sign_keypair -* -* Description: Generates public and private key. -* -* Arguments: - ml_dsa_params: parameter struct -* - uint8_t *pk: pointer to output public key (allocated -* array of CRYPTO_PUBLICKEYBYTES bytes) -* - uint8_t *sk: pointer to output private key (allocated -* array of CRYPTO_SECRETKEYBYTES bytes) -* -* Returns 0 (success) -**************************************************/ -int crypto_sign_keypair(ml_dsa_params *params, uint8_t *pk, uint8_t *sk) { + * Name: crypto_sign_keypair_internal + * + * Description: FIPS 204: Algorithm 6 ML-DSA.KeyGen_internal. + * Generates public and private key. Internal API. + * + * Arguments: - ml_dsa_params: parameter struct + * - uint8_t *pk: pointer to output public key (allocated + * array of CRYPTO_PUBLICKEYBYTES bytes) + * - uint8_t *sk: pointer to output private key (allocated + * array of CRYPTO_SECRETKEYBYTES bytes) + * - const uint8_t *rnd: pointer to random seed + * + * Returns 0 (success) + **************************************************/ +int crypto_sign_keypair_internal(ml_dsa_params *params, + uint8_t *pk, + uint8_t *sk, + const uint8_t *seed) { uint8_t seedbuf[2*SEEDBYTES + CRHBYTES]; uint8_t tr[TRBYTES]; const uint8_t *rho, *rhoprime, *key; @@ -29,8 +35,7 @@ int crypto_sign_keypair(ml_dsa_params *params, uint8_t *pk, uint8_t *sk) { polyvecl s1, s1hat; polyveck s2, t1, t0; - /* Get randomness for rho, rhoprime and key */ - pq_custom_randombytes(seedbuf, SEEDBYTES); + OPENSSL_memcpy(seedbuf, seed, SEEDBYTES); seedbuf[SEEDBYTES+0] = params->k; seedbuf[SEEDBYTES+1] = params->l; shake256(seedbuf, 2*SEEDBYTES + CRHBYTES, seedbuf, SEEDBYTES+2); @@ -68,68 +73,86 @@ int crypto_sign_keypair(ml_dsa_params *params, uint8_t *pk, uint8_t *sk) { } /************************************************* -* Name: crypto_sign_signature +* Name: crypto_sign_keypair * -* Description: Computes signature. +* Description: FIPS 204: Algorithm 1 ML-DSA.KeyGen +* Generates public and private key. * * Arguments: - ml_dsa_params: parameter struct +* - uint8_t *pk: pointer to output public key (allocated +* array of CRYPTO_PUBLICKEYBYTES bytes) +* - uint8_t *sk: pointer to output private key (allocated +* array of CRYPTO_SECRETKEYBYTES bytes) +* +* Returns 0 (success) +**************************************************/ +int crypto_sign_keypair(ml_dsa_params *params, uint8_t *pk, uint8_t *sk) { + uint8_t seed[SEEDBYTES]; + /* Get randomness for rho, rhoprime and key */ + RAND_bytes(seed, SEEDBYTES); + crypto_sign_keypair_internal(params, pk, sk, seed); + return 0; +} + +/************************************************* +* Name: crypto_sign_signature_internal +* +* Description: FIPS 204: Algorithm 7 ML-DSA.Sign_internal. +* Computes signature. Internal API. +* +* Arguments: - ml_dsa_params: parameter struct * - uint8_t *sig: pointer to output signature (of length CRYPTO_BYTES) * - size_t *siglen: pointer to output length of signature * - uint8_t *m: pointer to message to be signed * - size_t mlen: length of message -* - uint8_t *ctx: pointer to context string -* - size_t ctxlen: length of context string +* - uint8_t *pre: pointer to prefix string +* - size_t prelen: length of prefix string +* - uint8_t *rnd: pointer to random seed * - uint8_t *sk: pointer to bit-packed secret key * * Returns 0 (success) or -1 (context string too long) **************************************************/ -int crypto_sign_signature(ml_dsa_params *params, - uint8_t *sig, - size_t *siglen, - const uint8_t *m, - size_t mlen, - const uint8_t *ctx, - size_t ctxlen, - const uint8_t *sk) +int crypto_sign_signature_internal(ml_dsa_params *params, + uint8_t *sig, + size_t *siglen, + const uint8_t *m, + size_t mlen, + const uint8_t *pre, + size_t prelen, + const uint8_t *rnd, + const uint8_t *sk) { unsigned int n; - uint8_t seedbuf[2*SEEDBYTES + TRBYTES + RNDBYTES + 2*CRHBYTES]; - uint8_t *rho, *tr, *key, *mu, *rhoprime, *rnd; + uint8_t seedbuf[2*SEEDBYTES + TRBYTES + 2*CRHBYTES]; + uint8_t *rho, *tr, *key, *mu, *rhoprime; uint16_t nonce = 0; polyvecl mat[DILITHIUM_K_MAX], s1, y, z; polyveck t0, s2, w1, w0, h; poly cp; keccak_state state; - if(ctxlen > 255) - return -1; - rho = seedbuf; tr = rho + SEEDBYTES; key = tr + TRBYTES; - rnd = key + SEEDBYTES; - mu = rnd + RNDBYTES; + mu = key + SEEDBYTES; rhoprime = mu + CRHBYTES; unpack_sk(params, rho, tr, key, &t0, &s1, &s2, sk); - /* Compute mu = CRH(tr, 0, ctxlen, ctx, msg) */ - mu[0] = 0; - mu[1] = ctxlen; + /* Compute mu = CRH(tr, pre, msg) */ shake256_init(&state); shake256_absorb(&state, tr, TRBYTES); - shake256_absorb(&state, mu, 2); - shake256_absorb(&state, ctx, ctxlen); + shake256_absorb(&state, pre, prelen); shake256_absorb(&state, m, mlen); shake256_finalize(&state); shake256_squeeze(mu, CRHBYTES, &state); -#ifdef DILITHIUM_RANDOMIZED_SIGNING - pq_custom_randombytes(rnd, RNDBYTES); -#else - for(n=0;nk*params->poly_w1_packed_bytes); + shake256_absorb(&state, sig, params->k * params->poly_w1_packed_bytes); shake256_finalize(&state); shake256_squeeze(sig, params->c_tilde_bytes, &state); poly_challenge(params, &cp, sig); @@ -196,6 +219,56 @@ int crypto_sign_signature(ml_dsa_params *params, return 0; } +/************************************************* +* Name: crypto_sign_signature +* +* Description: FIPS 204: Algorithm 2 ML-DSA.Sign. +* Computes signature. +* +* Arguments: - uint8_t *sig: pointer to output signature (of length CRYPTO_BYTES) +* - size_t *siglen: pointer to output length of signature +* - uint8_t *m: pointer to message to be signed +* - size_t mlen: length of message +* - uint8_t *ctx: pointer to contex string +* - size_t ctxlen: length of contex string +* - uint8_t *sk: pointer to bit-packed secret key +* +* Returns 0 (success) or -1 (context string too long) +**************************************************/ +int crypto_sign_signature(ml_dsa_params *params, + uint8_t *sig, + size_t *siglen, + const uint8_t *m, + size_t mlen, + const uint8_t *ctx, + size_t ctxlen, + const uint8_t *sk) +{ + size_t i; + uint8_t pre[257]; + uint8_t rnd[RNDBYTES]; + + if(ctxlen > 255) + return -1; + + /* Prepare pre = (0, ctxlen, ctx) */ + pre[0] = 0; + pre[1] = ctxlen; + for(i = 0; i < ctxlen; i++) + pre[2 + i] = ctx[i]; + +#ifdef DILITHIUM_RANDOMIZED_SIGNING + if (!RAND_bytes(rnd, RNDBYTES)) + return -1; +#else + for(i=0;i 255 || siglen != params->bytes) + if(siglen != params->bytes) return -1; unpack_pk(params, rho, &t1, pk); @@ -283,10 +357,7 @@ int crypto_sign_verify(ml_dsa_params *params, shake256(mu, TRBYTES, pk, params->public_key_bytes); shake256_init(&state); shake256_absorb(&state, mu, TRBYTES); - mu[0] = 0; - mu[1] = ctxlen; - shake256_absorb(&state, mu, 2); - shake256_absorb(&state, ctx, ctxlen); + shake256_absorb(&state, pre, prelen); shake256_absorb(&state, m, mlen); shake256_finalize(&state); shake256_squeeze(mu, CRHBYTES, &state); @@ -315,7 +386,7 @@ int crypto_sign_verify(ml_dsa_params *params, /* Call random oracle and verify challenge */ shake256_init(&state); shake256_absorb(&state, mu, CRHBYTES); - shake256_absorb(&state, buf, params->k*params->poly_w1_packed_bytes); + shake256_absorb(&state, buf, params->k * params->poly_w1_packed_bytes); shake256_finalize(&state); shake256_squeeze(c2, params->c_tilde_bytes, &state); for(i = 0; i < params->c_tilde_bytes; ++i) @@ -325,6 +396,46 @@ int crypto_sign_verify(ml_dsa_params *params, return 0; } +/************************************************* +* Name: crypto_sign_verify +* +* Description: FIPS 204: Algorithm 3 ML-DSA.Verify. +* Verifies signature. +* +* Arguments: - ml_dsa_params: parameter struct +* - uint8_t *m: pointer to input signature +* - size_t siglen: length of signature +* - const uint8_t *m: pointer to message +* - size_t mlen: length of message +* - const uint8_t *ctx: pointer to context string +* - size_t ctxlen: length of context string +* - const uint8_t *pk: pointer to bit-packed public key +* +* Returns 0 if signature could be verified correctly and -1 otherwise +**************************************************/ +int crypto_sign_verify(ml_dsa_params *params, + const uint8_t *sig, + size_t siglen, + const uint8_t *m, + size_t mlen, + const uint8_t *ctx, + size_t ctxlen, + const uint8_t *pk) +{ + size_t i; + uint8_t pre[257]; + + if(ctxlen > 255) + return -1; + + pre[0] = 0; + pre[1] = ctxlen; + for(i = 0; i < ctxlen; i++) + pre[2 + i] = ctx[i]; + + return crypto_sign_verify_internal(params, sig, siglen, m, mlen, pre, 2 + ctxlen, pk); +} + /************************************************* * Name: crypto_sign_open * diff --git a/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.h b/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.h index e1091e312c..9110d6e793 100644 --- a/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.h +++ b/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.h @@ -4,17 +4,27 @@ #include #include #include "params.h" -#include "polyvec.h" -#include "poly.h" int crypto_sign_keypair(ml_dsa_params *params, uint8_t *pk, uint8_t *sk); +int crypto_sign_keypair_internal(ml_dsa_params *params, + uint8_t *pk, + uint8_t *sk, + const uint8_t *seed); + int crypto_sign_signature(ml_dsa_params *params, uint8_t *sig, size_t *siglen, const uint8_t *m, size_t mlen, const uint8_t *ctx, size_t ctxlen, const uint8_t *sk); +int crypto_sign_signature_internal(ml_dsa_params *params, + uint8_t *sig, size_t *siglen, + const uint8_t *m, size_t mlen, + const uint8_t *pre, size_t prelen, + const uint8_t *rnd, + const uint8_t *sk); + int crypto_sign(ml_dsa_params *params, uint8_t *sm, size_t *smlen, const uint8_t *m, size_t mlen, @@ -27,6 +37,12 @@ int crypto_sign_verify(ml_dsa_params *params, const uint8_t *ctx, size_t ctxlen, const uint8_t *pk); +int crypto_sign_verify_internal(ml_dsa_params *params, + const uint8_t *sig, size_t siglen, + const uint8_t *m, size_t mlen, + const uint8_t *pre, size_t prelen, + const uint8_t *pk); + int crypto_sign_open(ml_dsa_params *params, uint8_t *m, size_t *mlen, const uint8_t *sm, size_t smlen, diff --git a/crypto/rand_extra/pq_custom_randombytes.c b/crypto/rand_extra/pq_custom_randombytes.c deleted file mode 100644 index 82d29a29fe..0000000000 --- a/crypto/rand_extra/pq_custom_randombytes.c +++ /dev/null @@ -1,49 +0,0 @@ -/* ------------------------------------------------------------------------------------- - Copyright Amazon.com Inc. or its affiliates. All Rights Reserved. - SPDX-License-Identifier: Apache-2.0 OR ISC ------------------------------------------------------------------------------------- -*/ - -#include - -#include - -#include "pq_custom_randombytes.h" -#include "../fipsmodule/rand/internal.h" - -// WARNING: THIS IMPLEMENTATION IS USED ONLY FOR TESTING PURPOSES. -// DO NOT USE THESE APIS ON YOUR OWN. - -static int use_deterministic_randombytes = 0; -static CTR_DRBG_STATE pq_custom_drbg_state; - -static int *use_deterministic_randombytes_get(void) { - return &use_deterministic_randombytes; -} - -void pq_custom_randombytes_use_deterministic_for_testing(void) { - *use_deterministic_randombytes_get() = 1; -} - -static void pq_custom_drbg_init(const uint8_t *seed) { - CTR_DRBG_init(&pq_custom_drbg_state, seed, NULL, 0); -} - -static int pq_custom_drbg_bytes(uint8_t *out, size_t num_bytes) { - return CTR_DRBG_generate(&pq_custom_drbg_state, out, num_bytes, NULL, 0); -} - -void pq_custom_randombytes_init_for_testing(const uint8_t *seed) { - if (*use_deterministic_randombytes_get() == 1) { - pq_custom_drbg_init(seed); - } -} - -int pq_custom_randombytes(uint8_t *out, size_t num_bytes) { - if (*use_deterministic_randombytes_get() == 1) { - return pq_custom_drbg_bytes(out, num_bytes); - } else { - return RAND_bytes(out, num_bytes); - } -} diff --git a/crypto/rand_extra/pq_custom_randombytes.h b/crypto/rand_extra/pq_custom_randombytes.h deleted file mode 100644 index fac5ad1def..0000000000 --- a/crypto/rand_extra/pq_custom_randombytes.h +++ /dev/null @@ -1,32 +0,0 @@ -/* ------------------------------------------------------------------------------------- - Copyright Amazon.com Inc. or its affiliates. All Rights Reserved. - SPDX-License-Identifier: Apache-2.0 OR ISC ------------------------------------------------------------------------------------- -*/ - -#ifndef RANDOMBYTES_H -#define RANDOMBYTES_H - -#if defined(__cplusplus) -extern "C" { -#endif - -#include - -#include - -// WARNING: THIS IMPLEMENTATION IS USED ONLY FOR TESTING PURPOSES. -// DO NOT USE THESE APIS ON YOUR OWN. - -OPENSSL_EXPORT void pq_custom_randombytes_use_deterministic_for_testing(void); - -OPENSSL_EXPORT void pq_custom_randombytes_init_for_testing(const uint8_t *seed); - -int pq_custom_randombytes(uint8_t *out, size_t num_bytes); - -#if defined(__cplusplus) -} -#endif - -#endif diff --git a/generated-src/crypto_test_data.cc b/generated-src/crypto_test_data.cc index e26755fb72..80395378a8 100644 --- a/generated-src/crypto_test_data.cc +++ b/generated-src/crypto_test_data.cc @@ -58,7 +58,7 @@ * crypto/cipher_extra/test/nist_cavp/aes_256_gcm.txt \ * crypto/cipher_extra/test/nist_cavp/tdes_cbc.txt \ * crypto/cipher_extra/test/nist_cavp/tdes_ecb.txt \ - * crypto/dilithium/kat/mldsa65.txt \ + * crypto/dilithium/kat/MLDSA_65_hedged_pure.txt \ * crypto/ecdh_extra/ecdh_tests.txt \ * crypto/evp_extra/kbkdf_expand_tests.txt \ * crypto/evp_extra/sshkdf_tests.txt \ @@ -3304,320 +3304,280 @@ static const char *kData43[] = { "101010101010101010101010101\nPlaintext: 0000000000200000\nCiphertext: 79e90dbc98f92cca\n\nCipher: DES-EDE3\nOperation: ENCRYPT\nKey: 010101010101010101010101010101010101010101010101\nPlaintext: 0000000000100000\nCiphertext: 866ecedd8072bb0e\n\nCipher: DES-EDE3\nOperation: ENCRYPT\nKey: 010101010101010101010101010101010101010101010101\nPlaintext: 0000000000080000\nCiphertext: 8b54536f2f3e64a8\n\nCipher: DES-EDE3\nOperation: ENCRYPT\nKey: 010101010101010101010101010101010101010101010101\nPlaintext: 0000000000040000\nCiphertext: ea51d3975595b86b\n\nCipher: DES-EDE3\nOperation: ENCRYPT\nKey: 010101010101010101010101010101010101010101010101\nPlaintext: 0000000000020000\nCiphertext: caffc6ac4542de31\n\nCipher: DES-EDE3\nOperation: ENCRYPT\nKey: 010101010101010101010101010101010101010101010101\nPlaintext: 0000000000010000\nCiphertext: 8dd45a2ddf90796c\n\nCipher: DES-EDE3\nOperation: ENCRYPT\nKey: 010101010101010101010101010101010101010101010101\nPlaintext: 0000000000008000\nCiphertext: 1029d55e880ec2d0\n\nCipher: DES-EDE3\nOperation: ENCRYPT\nKey: 010101010101010101010101010101010101010101010101\nPlaintext: 0000000000004000\nCiphertext: 5d86cb23639dbea9\n\nCipher: DES-EDE3\nOperation: ENCRYPT\nKey: 010101010101010101010101010101010101010101010101\nPlaintext: 0000000000002000\nCiphertext: 1d1ca853ae7c0c5f\n\nCipher: DES-EDE3\nOperation: ENCRYPT\nKey: 010101010101010101010101010101010101010101010101\nPlaintext: 0000000000001000\nCiphertext: ce332329248f3228\n\nCipher: DES-EDE3\nOperation: ENCRYPT\nKey: 010101010101010101010101010101010101010101010101\nPlaintext: 0000000000000800\nCiphertext: 8405d1abe24fb942\n\nCipher: DES-EDE3\nOperation: ENCRYPT\nKey: 010101010101010101010101010101010101010101010101\nPlaintext: 0000000000000400\nCiphertext: e643d78090ca4207\n\nCipher: DES-EDE3\nOperation: ENCRYPT\nKey: 010101010101010101010101010101010101010101010101\nPlaintext: 0000000000000200\nCiphertext: 48221b9937748a23\n\nCipher: DES-EDE3\nOperation: ENCRYPT\nKey: 010101010101010101010101010101010101010101010101\nPlaintext: 0000000000000100\nCiphertext: dd7c0bbd61fafd54\n\nCipher: DES-EDE3\nOperation: ENCRYPT\nKey: 010101010101010101010101010101010101010101010101\nPlaintext: 0000000000000080\nCiphertext: 2fbc291a570db5c4\n\nCipher: DES-EDE3\nOperation: ENCRYPT\nKey: 010101010101010101010101010101010101010101010101\nPlaintext: 0000000000000040\nCiphertext: e07c30d7e4e26e12\n\nCipher: DES-EDE3\nOperation: ENCRYPT\nKey: 010101010101010101010101010101010101010101010101\nPlaintext: 0000000000000020\nCiphertext: 0953e2258e8e90a1\n\nCipher: DES-EDE3\nOperation: ENCRYPT\nKey: 010101010101010101010101010101010101010101010101\nPlaintext: 0000000000000010\nCiphertext: 5b711bc4ceebf2ee\n\nCipher: DES-EDE3\nOperation: ENCRYPT\nKey: 010101010101010101010101010101010101010101010101\nPlaintext: 0000000000000008\nCiphertext: cc083f1e6d9e85f6\n\nCipher: DES-EDE3\nOperation: ENCRYPT\nKey: 010101010101010101010101010101010101010101010101\nPlaintext: 0000000000000004\nCiphertext: d2fd8867d50d2dfe\n\nCipher: DES-EDE3\nOperation: ENCRYPT\nKey: 010101010101010101010101010101010101010101010101\nPlaintext: 0000000000000002\nCiphertext: 06e7ea22ce92708f\n\nCipher: DES-EDE3\nOperation: ENCRYPT\nKey: 010101010101010101010101010101010101010101010101\nPlaintext: 0000000000000001\nCiphertext: 166b40b44aba4bd6\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 95f8a5e5dd31d900\nPlaintext: 8000000000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: dd7f121ca5015619\nPlaintext: 4000000000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 2e8653104f3834ea\nPlaintext: 2000000000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 4bd388ff6cd81d4f\nPlaintext: 1000000000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 20b9e767b2fb1456\nPlaintext: 0800000000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 55579380d77138ef\nPlaintext: 0400000000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 6cc5defaaf04512f\nPlaintext: 0200000000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 0d9f279ba5d87260\nPlaintext: 0100000000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: d9031b0271bd5a0a\nPlaintext: 0080000000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 424250b37c3dd951\nPlaintext: 0040000000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: b8061b7ecd9a21e5\nPlaintext: 0020000000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: f15d0f286b65bd28\nPlaintext: 0010000000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: add0cc8d6e5deba1\nPlaintext: 0008000000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: e6d5f82752ad63d1\nPlaintext: 0004000000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: ecbfe3bd3f591a5e\nPlaintext: 0002000000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: f356834379d165cd\nPlaintext: 0001000000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 2b9f982f20037fa9\nPlaintext: 0000800000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 889de068a16f0be6\nPlaintext: 0000400000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: e19e275d846a1298\nPlaintext: 0000200000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 329a8ed523d71aec\nPlaintext: 0000100000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: e7fce22557d23c97\nPlaintext: 0000080000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 12a9f5817ff2d65d\nPlaintext: 0000040000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: a484c3ad38dc9c19\nPlaintext: 0000020000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: fbe00a8a1ef8ad72\nPlaintext: 0000010000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 750d079407521363\nPlaintext: 0000008000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 64feed9c724c2faf\nPlaintext: 0000004000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: f02b263b328e2b60\nPlaintext: 0000002000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 9d64555a9a10b852\nPlaintext: 0000001000000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: d106ff0bed5255d7\nPlaintext: 0000000800000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: e1652c6b138c64a5\nPlaintext: 0000000400000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: e428581186ec8f46\nPlaintext: 0000000200000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: aeb5f5ede22d1a36\nPlaintext: 0000000100000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: e943d7568aec0c5c\nPlaintext: 0000000080000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: df98c8276f54", "b04b\nPlaintext: 0000000040000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: b160e4680f6c696f\nPlaintext: 0000000020000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: fa0752b07d9c4ab8\nPlaintext: 0000000010000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: ca3a2b036dbc8502\nPlaintext: 0000000008000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 5e0905517bb59bcf\nPlaintext: 0000000004000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 814eeb3b91d90726\nPlaintext: 0000000002000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 4d49db1532919c9f\nPlaintext: 0000000001000000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 25eb5fc3f8cf0621\nPlaintext: 0000000000800000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: ab6a20c0620d1c6f\nPlaintext: 0000000000400000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 79e90dbc98f92cca\nPlaintext: 0000000000200000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 866ecedd8072bb0e\nPlaintext: 0000000000100000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 8b54536f2f3e64a8\nPlaintext: 0000000000080000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: ea51d3975595b86b\nPlaintext: 0000000000040000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: caffc6ac4542de31\nPlaintext: 0000000000020000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 8dd45a2ddf90796c\nPlaintext: 0000000000010000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 1029d55e880ec2d0\nPlaintext: 0000000000008000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 5d86cb23639dbea9\nPlaintext: 0000000000004000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 1d1ca853ae7c0c5f\nPlaintext: 0000000000002000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: ce332329248f3228\nPlaintext: 0000000000001000\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 8405d1abe24fb942\nPlaintext: 0000000000000800\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: e643d78090ca4207\nPlaintext: 0000000000000400\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 48221b9937748a23\nPlaintext: 0000000000000200\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: dd7c0bbd61fafd54\nPlaintext: 0000000000000100\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 2fbc291a570db5c4\nPlaintext: 0000000000000080\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: e07c30d7e4e26e12\nPlaintext: 0000000000000040\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 0953e2258e8e90a1\nPlaintext: 0000000000000020\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 5b711bc4ceebf2ee\nPlaintext: 0000000000000010\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: cc083f1e6d9e85f6\nPlaintext: 0000000000000008\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: d2fd8867d50d2dfe\nPlaintext: 0000000000000004\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 06e7ea22ce92708f\nPlaintext: 0000000000000002\n\nCipher: DES-EDE3\nOperation: DECRYPT\nKey: 010101010101010101010101010101010101010101010101\nCiphertext: 166b40b44aba4bd6\nPlaintext: 0000000000000001\n\n", }; -static const size_t kLen44 = 2541771; +static const size_t kLen44 = 2216321; static const char *kData44[] = { - "# Dilithium3\n\ncount = 0\nseed = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1\nmlen = 33\nmsg = D81C4D8D734FCBFBEADE3D3F8A039FAA2A2C9957E835AD55B22E75BF57BB556AC8\npk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nsk = 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= 3342\nsm = 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= 2\nseed = BFF58FDA9DB4C2D8BD02E4647868D4A2FA12500A65CA4C9F918B505707FA775951018D9149C97D443EA16B07DD68435B\nmlen = 99\nmsg = 2B8C4B0F29363EAEE469A7E33524538AA066AE98980EAA19D1F10593203DA2143B9E9E1973F7FF0E6C6AAA3C0B900E50D003412EFE96DEECE3046D8C46BC7709228789775ABDF56AED6416C90033780CB7A4984815DA1B14660DCF34AA34BF82CEBBCF\npk = 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= 3408\nsm = 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= 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= 3441\nsm = 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= 3540\nsm = 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= 3606\nsm = 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= 3672\nsm = 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8CE9DA307E7BB2A8B7F246FA3749F59AB22A0F3FD4C3E72170D9EF99EE5342D4B82F9D25ECB160560CA29FBC1744EB29E02F76D1E641BF407F148F87F057B0D68F503344E141DC93C7D98A65AB6A6692DAAF9E54033CED2A1CA9ABF697AED6313F954C8BA71BE3C71B6D859315EBDBCDE1F5F0248E0430C7AB3DE0956A6CBD21923563CE8633B23BAD0530AF3E45E1E6717B7E83EBACAF1CBA85C77417CB3B073B0E9697C1363C9050710A8F37CF68C2DEFD25696EEF", 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= 3738\nsm = 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= 13\nseed = B0E6A23FAB10A7A333E3720BE00D31507917F39C5EFE1C98CA18BEB5C3101FB4479B478A1558C4C00398C55C9822FC44\nmlen = 462\nmsg = 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= 3804\nsm = 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= 3837\nsm = 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= 3870\nsm = 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= 17\nseed = 327CE565CFF6CD9A25EDD84F482FA0758B78CBC246567DAE98B818314AE28CD438E339043EB3FF16E1C2B4B104A717B8\nmlen = 594\nmsg = 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= 3936\nsm = 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= 3969\nsm = 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= 4035\nsm = 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= 22\nseed = 3222E4B55D6767E300FDE03DB3D8227E19FB8B08EA9B923FEDE18D699DC3694EFFA7C4DAE2AF57E4A0162B7C564199BD\nmlen = 759\nmsg = 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= 4200\nsm = 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= 4233\nsm = 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= 4398\nsm = 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= 4431\nsm = 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- 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= 4464\nsm = 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= 4596\nsm = 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= 4959\nsm = 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= 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= 5124\nsm = 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= 5256\nsm = 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= 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= 5850\nsm = 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= 5883\nsm = 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= D6D5DAF25990F01E", - 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= 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= 5982\nsm = 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8A13B440238B99BFD0BB47CC7049FB2987605CE696C8ABAC2EB7B323A432F093230B7670555AFCE3D86B1C2EF076941292071C19A9795730FD975388F9C7DFBEF7BC7C94035BE856C36A0831FF3E9059AC9D999B154AD7B5B45334A388F3702CB23C7029A08F851EF1070DC62485A55F652DB6687F5EC191CD61BBB3BC152E6F3CBA665FD99884D1D7D452E6F7AE9F6DC28F45FE9FF701F8453A299E72FA127ED9B320F69B794A2EE2F11567E8BACA3ABB37E192484AF46A3EEFD28703B1BBF60B5F00E4D8AC5C5AE94E90B61690A76BC8B6E34A838431C3AAC1B0A8297D5E660E809AECF0F9F2C7DC1CA670E88D0FCA48CB", 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= 6081\nsm = 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= 6180\nsm = 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= 38CD43D295", - 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= 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= 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= 6312\nsm = 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+ "count = 0\nxi = f696484048ec21f96cf50a56d0759c448f3779752f0383d37449690694cf7a68\nrng = 6dbbc4375136df3b07f7c70e639e223e177e7fd53b161b3f4d57791794f12624\nseed = 23f1c88bd0e65f2c891ce865bd3275a7ffdbe4f9036e75b96aad0412650e9cd2ea4591d4ab7131ea971b34c23a4ed245\npk = 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= 3357\nctx = 5a26668e6e3937fd130e765b0cbe185f\n\ncount = 3\nxi = b585d4eb01085111a172a87688d0032e3381a9e9a35fdd6ef2f8aeb3b40eb5ce\nrng = 89b0c4b23019af3498a27da290892d981dd59fa08993bc05da21e1d72503664c\nseed = 950684cb360ff0c", + "011fd02a09a273c9f023d0a34ae0aa338c6f5283634ae9bef5d100bcd48f6577e5910beaafe6c52c3\npk = 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+ 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= 3373\nctx = 6db8b6a183093951357e47dfc284bed4\n\ncount = 4\nxi = a9f93c7b791356b66afcceb745a548c7f6b185e4f45ec1ff1a22acdd96e7a6d8\nrng = 8d45a2ab49d8c20d4ab5680e5c9d9d0cc9ca8228484946f9afce5b8df6f39d19\nseed = 0633ccd19471803e0ceffc7a11b2e7b70c3329dfdde5be18160df0d4c609900d67154893921376cc4b4b8c586e3efe79\npk = 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+ 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= 3421\nctx = ffdd19603c3be14322458be8695c9473\n\ncount = 7\nxi = daa360ecbb51bcb33f5d36f92fffe77c2de7ed43d281dcb5fd68cfa0ce19df2e\nrng = 859c3e3b13f3cbf5cb860bad2fc6393a78390b0165800661a8f1a7436787c669\nseed = 343b81870e2721dd75ee0ad7fdb269eb5aae0ae83a6316ad8ece3c76d3dd3cc391f1b12b22e988c1257b5f56d905a06c\npk = 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= 3437\nctx = 81c24683c09ae1236b132f04a101188c\n\ncount = 8\nxi = ad10ad3409a90c4b24ab0da526f289209abcb1f05c86c7e4437a144c91e1c867\nrng = 23ca80a61c0201f08d6b9bfae101fa573fac5581ea3e54daaad3ad7a00be5716\nseed = 406d9c95f9813ca6a9e6071d3a7a63093f9e00cd15ee968c3ab28cb7368699491e5662f6b63721fe059d50295c3a7516\npk = 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+ 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= 3453\nctx = 12ab41fb997d4838ab908cb2c94a70c3\n\ncount = 9\nxi = 793871afccb50f4035b9788c7292b717939aa28f5094d99ee262047b15e42deb\nrng = 4873d1be6c8d109c0a8f765098aa6467b2a1caa74b4c0875fa798ac727ec4f67\nseed = b3c83c13dd15dffe58fdb6026d32e33e5ef24b094be16741dd5b587ea841ad19b6f026a127678849ec1b459a365fd645\npk = 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+ 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= 3533\nctx = cdae218db011144908ee7f7099ce2b4e\n\ncount = 14\nxi = 10b4460163151b79f3c4319df45fce1ba28c3c0f3f0a4c6a8a6389545cf97f48\nrng = 8ac5ef1d9b2b035ff2878195e0c268f432716c951a338efbd34b31538defe4bc\nseed = 626afd438fd9c449de3fbe8e826a1abfdb14d9d0df7167e39a849db730118f20b3042cdc5d0714c3d10e1cd447329386\npk = 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= 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= 3549\nctx = 73dd57620d9e1a58858fd60f7f1f0664\n\ncount = 15\nxi = 57e98d628a9b7dabfab07e8f9ed32ac0b843443f217735522a1ba579eaacb099\nrng = 56498ead2d03b4f4a79f7873fbae1cf6b9374fa9eb4e9939604c0927d7c23b00\nseed = 8484d545a1cfc58069db9ad0e9db3244df1d020b8957549064a5e7cafae6ae06a671f5e79797b42520464bbb95f5aa2b\npk = 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= 3581\nctx = c49bdf6d02d7d715f68045f9b769eeb8\n\ncount = 17\nxi = 39635691869963e18bf3ddd1f88cf32aa86bed489df9749fd50edd1fe41c78a1\nrng = 09fb3eb7e87f7eff3572633bc0a51cba4d3a8c40370972afe60c46936315c401\nseed = 6d1579c271a32d9c51709409e2cf2b795638ecbda9621af6c409f76856eaa364c741beded3ca09c9cb64de764690cb82\npk = 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= 3629\nctx = 0fe9c3218176e628835ce47b2c920a19\n\ncount = 20\nxi = 7845d3fce8ad650cee29686e0f2d4965a07dfce387caa093bf57a3c5a70008e0\nrng = d59466ed0a8fe1cff6ae8bdc1b7bece583e44fca1cbba7b7d4aca1921780c10a\nseed = 81c2294b8c26071d6ef0288f547789a3b563f5d511cf1d7b812c17e2e507da925d4be870d837cdf42a1e980c532fc0b6\npk = 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= 3677\nctx = d31c52af4dfdc36e2ca32e282e09757e\n\ncount = 23\nxi = 7c33b9633282504516aee1ef29e66609dde5c9594e1d027c71cba9eec3794aa1\nrng = c6305562b910dc75ead48e32c313f6d3ff65655477d1facd96fa790330f0750d\nseed = d5040ee87eeaf9f4001ce18f5ac6106cbc7ac498c2f290ee47f07702c66ae73e930b6911c7d0e7f0751a4d03ab56f5b2\npk = 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= 3693\nctx = f6862e314ea054febd9f876634fb4341\n\ncount = 24\nxi = fbe51f069a8f4aa6540b6febe03ac6e6f69c8284924967106d345ec4975fc3ed\nrng = 90a73a8a6ca894fbe92307ca208196944434cd1b0caac0f6fa232fa7a8519c19\nseed = 2a74f833b43587b6a6c67b1dc708f553e00ffe59841c3aa6c61f8e15e815b1ca1071b5f6fb8bddbc1cbff6b053d8854d\npk = 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= 3773\nctx = c441b43277931faa882542bca6597729\n\ncount = 29\nxi = bb9528598bdaa998e90b22fba7466891f5b3d79ba7bbef569d418ea9d77d838e\nrng = 697ee6fe2da7d4d3f39b7cbe1b8b9004c128a25277812e7594216cb967e31dfd\nseed = fd68351abe402721e3c8501992732731c588389dff3a6f0fff3d0e9b6a644d4b6beb7337f55e3a59db2fb394c86cf75f\npk = 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= 3789\nctx = abdb24d8078234fa8849c4b4da431458\n\ncount = 30\nxi = 7e62198708f06d276ef8d45bf2f8f7c4da26fcfda112573e2475f0bb433ad574\nrng = 2a2aa675eef14820f8bb5e0184e1edf7b31f5010b66c209cb730f6d338ca1a14\nseed = 37059f94b96cbebf0fe83f5213256b053976f889b14c348f01bf3c08d42a6b67bfbdd070d9b57fc350622d469d324fdd\npk = 9149ca2bd8489feb6321ac5c109e5962731c241c6cd764cc3a10fb9e9086eb65e864290982d0ab0e9", + 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\nmlen = 512\nsm = 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+ "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\nsmlen = 3821\nctx = 24fbacf30564541fb5b71e11fbfb136a\n\ncount = 32\nxi = 63e841397a11ef899920b56dec444a79515c0fff87dcaf32746832f569c931fa\nrng = 13e125e41c44d1cf25fbceb795eef64a520e423d2363556bc375986819705f66\nseed = 97176bd44c7465814a6fbb50d87c58b3b34de778bba619bb7f1319b1035e433f2df79400a98f5c684b2e363ae22a6004\npk = 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= 3837\nctx = f2203aa73829b4377595fc805d097aff\n\ncount = 33\nxi = d09948449fb8f215e255a3dd69e883d770da4739cd78cbf312678723bf32db58\nrng = 63886570824a4ff1f812cecd03eefc0e03d2371af4ea7b5f18875bf2960dd381\nseed = 3d2d2b131e4fd1a007d4f0f087c29a570c0e0a9d1e51ab97bc3e04f54615f608e66a135695db8e747f8074ae55ec6c07\npk = 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+ 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+ "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\nsmlen = 3853\nctx = 1bfb13c61205d20672aa1f509fbf727f\n\ncount = 34\nxi = 8816d44733f9cc5a8e4eb90199b0afe6647e53890af0cc397672bb59ec1ccb64\nrng = 28ca57a5aa5961fabdc703cc96cc908123e8bf22092868343a21d15e3a980faf\nseed = 9b5fc8a6e68764ceec24095bd0b104a98e3b6ddec2e7825407bd04e8b88778dd470947b1116bc8ef1ee6492ef4553511\npk = 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= 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= 560\nsm = 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= 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", + 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= 3901\nctx = 1fbaee1020c118b03a3be6857a3cd2fd\n\ncount = 37\nxi = 198a36383a137ffa9c23178dbbaa4ae56", + "e3c9088eaf9bb92fbfb452220a2a046\nrng = dffc1a18d7bee8c4ed447e22d0dc47628ca8ef334c8c3ab515d1082d9ae848a4\nseed = 81f90308e1f0ffe92a47f6c94f52b9b0fd62611b8b3c506f1fa7860e291e9e398208195a255cba9af3a42eea8e7b5536\npk = 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= 3917\nctx = 13fb51be3d8200232184effb739fc330\n\ncount = 38\nxi = 2549c4d4a05ff379469bd14ff1c4d650f71ec7395e54181b85f38f1d5d80315a\nrng = 24bffcdbe20a43e188b5ac22a01745fcbfd7a1249ae381c1144437ff04f63ecb\nseed = d9655fb05c47b38b1476bbd0b410470b7f3bac3af5eadc89e2597c638b72ea3877dc81eca8d349eaf2df754a5b1b587c\npk = 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= 624\nsm = 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+ "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\nsmlen = 3933\nctx = 6e582ea894b7e04e2260d7e783e02e97\n\ncount = 39\nxi = e3fb2d44a674fe0fd4cee45f4736013122bf2f7b1f433a96a8b027db12f6f9b1\nrng = a8b2109e73bd0a59ec19bc69a3775ba6ed90ca293d4556a7f14bfdab3a8a2e8e\nseed = b2556b58a86e1c5d6d558e9c49540d1f7af2df4ae5fbe4702cf1b08f51c4a52000fc3868c11d2e4f3b90f4039133b249\npk = 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= 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= 3965\nctx = 9f8863497a60242e6e428053e3e76e20\n\ncount = 41\nxi = dbfd786fb06d9f9f5ee31c5d63dfa04fb91b83e7fe10bfd9786e2daa9561f884\nrng = aa50ac79ff9fa2b505923b19078d0defe8dbeef94f1aba726ae69ca78444f290\nseed = 3133bf000c8c7a74aa7739c0fccb42e60cfd85fda91c19ff9af7938d01a01dad8902dde3951adc81823dad2103a95f0d\npk = 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= 3997\nctx = 16142c06614014a3b973560a21e0a1c8\n\ncount = 43\nxi = 2e3828347d4b479bae70dc301f82a2dd0a0d3424e2b29dee1ddf35b0e6e9b0b7\nrng = 0474b0a658d7feee18c0b1bfc2ed09f5d94644b65988a29514a3172e0797539b\nseed = 8f4a1a38e027686cca19869689ed04f21ecffe7a1b1f52cc2468e9aa53554baf64584b423a2d4eae32ecf096effb7f98\npk = 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= 4013\nctx = 5919e94edcf31c3b2e17d3a2d27f5d10\n\ncount = 44\nxi = 0210f7137b8a2283e9472ac0d24345ceb1cfa3b42329ff182643946d07006e7c\nrng = 56889ffd119dce659404a50ee54109f950484b4786425cae82a25017cce22801\nseed = 4a8d06c41e70893e05d5210a5d488bac7d577e6a2c1c3e6f0b9841ffe8aa1064dfdca1e6a06a8000aa6382bcfe70aa1d\npk = 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= 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", + 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= 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= 752\nsm = 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+ 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= 4061\nctx = d734c8fb23df7b50fd045cb915ebceeb\n\ncount = 47\nxi = 4718f204d62058b1178462d2099fb17f875445661caeceae7c459c93f393be23\nrng = dcd7358c50fb696843a9f086b58de6372df7afcb69efbdd10325e381be7e5f9e\nseed = a6a3b066384b9cc126e4e5550633e5685ad3d7475b5acf3f79c98f7951e8185d35cb9e965e5770ecb4a4a468ff593566\npk = 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= 4109\nctx = 6245ca3c0a2ebeb3cf0d445c371ba66b\n\ncount = 50\nxi = 79ef39b4c660ad5ef9be80c2de1f81941c7e82f620de9964104d3446573c8435\nrng = 15cbaa92bb7392ac0f5bcbd7c5ff2af978764ede5c841af0c21276548afd1f5b\nseed = 1c3c29258e37517129ea4b55a327dfd30ed3d56240549a54e683fda898da6edd5e4cd8f2b7274aa0d4384fa5489d8dfc\npk = 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= 4e2eddb4", + 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= 816\nsm = 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+ 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= 4125\nctx = 94d12d29a9c8fcb8a724c1452b5f5f90\n\ncount = 51\nxi = 958b0511003b8eef084505477b4175866f6c528d5c7ebf88d321964847480b83\nrng = 20b7fb58900d30c520fa99bb80c2f2a83606667dccc01d0c4edeb00c7c80a46c\nseed = aa5306a971e5a1a2d13f7699f35bf6ad7c0b05e2de6edf310524ce7ed97835427ea831b2c91eeff32456a8b3d3422edb\npk = 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= 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\nmlen = 832\nsm = 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", + "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= 4141\nctx = 0c40031d005731008e46e1e4452b241c\n\ncount = 52\nxi = f825dfed3251b9d0400f3ce813e3beb792c7e573ca95c44617118cc26eafba90\nrng = cdb6ea699d72f71e0a2f95f46ed548eab640c8c53f245dcb284a487e763b6678\nseed = 4203e4b88e8e344288c7fd06154c9a3152d073e3bfeef5a90ba1e6c98b8e953697d29416e50dc807fa055fd5171e3a1b\npk = 890d560deced8f85fb8e7a7d0a2bc7d292a292108b69fb8261a7a68929cef57945e8b333708b43140242b8f85288da84e3243233e30c44b8853c0c73e0a8336995b3cf47e56d259e0134eab32e515691a7415048ace303c413285c175ee92d24c0a07b6180bf4059288bf5c36c41a2ac5193d2d10db9c99c93335a28b512124c82a1baaee6b92f1291bad4e977a2dbe4128fb8b8a5c1db3", + 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= 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+ 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= 4189\nctx = 0f0cb64e0998900d78b10a34c573b07b\n\ncount = 55\nxi = 2e336a9923dae397b861294d004b69926c371570bd9a5a83c8b4e24b49584df5\nrng = 2cbc88eaba04f6d2187cf2f91b91d546dfc06076cee823ce48560b69445b7dd7\nseed = ec6cc0e1bd45b44d2b0448a2c3d19da409928957bb2dbe5e7ac7de0549dae503fbfa5d9a445b65045e83df26cd21b987\npk = 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= 896\nsm = 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= 4205\nctx = 9691a4882910631feedc692a2266b610\n\ncount = 56\nxi = de50fb563a50041e5e23b22d4f97ee52fd85585a93b05205d4a0ae1331fd2e11\nrng = cb8c5fe73f388e3b532dd5169ad2ed523e9978b5b58112560bd76dc766ebfbc2\nseed = b68d2490706e69f87d74d0eb2834c291a907522533cc777230cf55f32c3ecf03aae367245f6b4d082092ea36f927cc9f\npk = 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= 4221\nctx = 92243d289ce8f61f563b01cd92f92bc5\n\ncount = 57\nxi = c8ceeef1036aa865e330b8cbf7327541aea574a0757fefa6e41b37acb41216a1\nrng = b580f3aec58c38005b25cc03427681667a4556f899bbf3e10c582fc48f842e57\nseed = 78a02d595cd2b23bb9814d069a4b160ecf4e9b418623664ec0d7871f942bca5a033ae6a51adff450129efe8c784979e1\npk = 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= 928\nsm = 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+ 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= 4237\nctx = a7756134bc516afa41beefd5053cffa5\n\ncount = 58\nxi = e404dd6e12dda547c1b08f396a0d5d76b16c0459fe0a675a5e512ed0b6543e17\nrng = e70d258aac4f53224fd62de4c5aeb21b47b55b8ae626a2e1a44ae6aa67662df6\nseed = e34137c01f8ec3851752c4886f96ec484839cbc8167f725bd8611f8f65d78bdc943020509bae0703a4b1d37c05bc7b76\npk = 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= 4253\nctx = 9adeb0bc28cbcf13f2c0ab9c5d61e2cd\n\ncount = 59\nxi = eb9f5f6102d275e6f90de73e0972a11636e3066c5edb35cb2d09090e893bb141\nrng = 28d2e4887d1d1428ee7302045f6e8d6de724b995c06d8186c5341d730e705536\nseed = 2cded57639a0493160c131383b72eb6da7a6c06770f6921ab81c4320549c8570afd55526f390c1ed653182f4cbd1a182\npk = 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= 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= 960\nsm = 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", + 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= 4269\nctx = b5b2e1045804ee0a6e599bc3d42aff8f\n\ncount = 60\nxi = 628037b25bd51d77a8af857c4dea1fa3fc54255a0fac35f8909ddc437ba8f6c9\nrng = 2912526a457d341c7fade106110ab4dadc1d951c2d98d3c1ec58abea84e31e97\nseed = 7a89dbb315b8d323a81c7dcc7c8381f237687a5d86aed0a3618223bf0363b5390bbe9bba811fa979b0936e7e3386b466\npk = f5514fba4996abc5af57caaa31e07352762554949cec81bc064016bcaab79474a90f63f8356824e550d2d3f594ed261ebdec4984301c342564d38f828666c3fb1df8aa88b6926898f57499f", + 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= 4317\nctx = ac6591cb413a3cbcdd581260d07cf494\n\ncount = 63\nxi = 69e481efa155ac418eae97eee14927491005fe0f11d1894aaa88ee41b5cfb346\nrng = 0aa94f6aaa162a3249ffef45a45bece098ae39fd90d9e335b2958683969794e8\nseed = 0e8612bd19e8426cb57e85daa0cdb9b8adea5fdf565d47fac29f1421d485b335eab655360c99ea06551854967120f888\npk = 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+ "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\nsmlen = 4333\nctx = c7b90ec0e529bb4f5d95436d00821e47\n\ncount = 64\nxi = ee9658735a32440e9b925d7a1c98d5234135b931067af6887115f261c41914ac\nrng = 084ae553bade336c340cc36c3f87a154ba70615a942a293f83c32f3d4d665cf2\nseed = 7aa173540312148f7b2c87cdc335de54f2f447942ae3b9e60bdd0fe81a1325131bae3b4b5b8149f1e71aaa2af0fc3538\npk = 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= 4349\nctx = 032e1469a0ade5599e9bdcb9a85894cd\n\ncount = 65\nxi = 83a48c0298fa77c6b5502fff40bea3f89000174e8217232c78ff88ea5a7b5359\nrng = f43db988491e7e7303b91f0409c38c5f49bbba9ae45e30b1430a323159aed617\nseed = ba5d1b1bad7c58fed9278ed779efd1e413f72cc884cb5b897431f59b7bac186980e3be9ec66d30e96d49fa97de97c016\npk = d754244831660fa163a58", + 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= 4365\nctx = c42265efb5820b1d18ee9d04de437246\n\ncount = 66\nxi = 7fb8dd48b035c9a7322bae5dd0c62a8111955c96495c7988127efc9a0dd1d09c\nrng = 766d77863ed84a94b728b0eb3f2634567051a92bb0964453370422e38a4c8e54\nseed = f216806855df931845892c667b7c16cd5c1484e6c226522c92917793bd65def37b77a78fbfd930c1363d032614f35869\npk = 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= 4381\nctx = 1903af7cba2a969ba3d52ffe2cce0005\n\ncount = 67\nxi = 890cf2ea045d7ffb17a45f6ad1ec3d9b2fa70e27bfa4cd3ed7fd7f92b844d159\nrng = 6626bbd8a776204b879c16386ea7526fa40cbd6d1565820232a2e9299253a2ad\nseed = e325cdb166fb2a830ed6b78899bbf981c4262212c0b1cfbe18cd2ea48aac5702fb916bded6c38103c012b730d0b7f0f6\npk = 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= 4413\nctx = 72fa35479c31e13576ce716eed85c9fb\n\ncount = 69\nxi = 90f67a0a15d8794c0f3edaca71afca85375581401665e9e1e2c7d0bef9c25993\nrng = fd93e5e8254f8bf36c6cbf94e123c8cd2e299116838437be6b7f55d8c6911eca\nseed = 07ec89d7364f11a954312f10840320ead2179493bbaa62c2be20ffc294e0f39c6ee033b053527dff2589e518cb2b3795\npk = 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= 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= 1136\nsm = 9c56156d2870e62343a80add57883c7ae76df44e652dd29b79451cc4873b0b9a0c1ee947fcd1014cbbc96e33477723eedf01d8ad89c5bef603bed321675d4aa08e7be77ea4fa153fb3f687e3ddc6855cc3dc552c0e4eaf8235258a6a128f574bef4e3e1ba720273855ea7ffdec73bbbc0bcf2e73ea46c5dba57be6ab37d4f151f20303e768cc14d2d450e411365d51f26966a72d3ccc330662c6a765d02d4b5b07acbba670a6f8d979543ed58dbb7910d92a57772d6048114d06745d179a08a07f8bb0cca7c94dae48", + 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= 1168\nsm = 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+ 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\nsmlen = 4477\nctx = 87e67fe2d743fe1ab7cdd7f9166aa82b\n\ncount = 73\nxi = b521fb4064959cba6d48d006eb9825f9361bb72facc0a4f5f07033731b33ec64\nrng = 3ccc9ca653dfced2a1fe1748270188cd629bae7c51afc5d4de7665da415102f1\nseed = 3c644a0725d982eb0bc6bb4e463ca7816c2e15cd794af5f829dcfe0054b709b91492bad495c7a5c172ad5827b1b01751\npk = 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= 1184\nsm = 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+ "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= 4493\nctx = 6cd020514351bb8a3021dadc9ee54d26\n\ncount = 74\nxi = 507078c8226f365034373ee755f131eab35478b0e38ab03bcbf7585947d0ab7f\nrng = 3324aa33bccfee4922559b57ad7461ba1a7daa403445365106f7e43e02cf3ad9\nseed = cdca166dc08585bdf3958d4df59f63d7741593a31f08866952cebadbf70f4231eaf801211b074e3b360459dbe0592919\npk = 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= 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= 1200\nsm = 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= 1216\nsm = 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5334d0fc40eb4aa6437d4fa276a2341b7ab29a356a281f182fa4961906390d9b9369bcf3ee5d8472f414f2ff24bdafd2932eca", + 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= 4525\nctx = 443a14005cbdda1f6393663e41db952d\n\ncount = 76\nxi = 732a4753de9436400050e5716c177acc9e6709f36ba069fec9e90b343881b5e4\nrng = 5f69b722d8fc4ed6737d42cb2238b4b2721d40007450557216c10d0c0b4f2352\nseed = 9ab55062a5c6a2dc6911f63a361a79d55a2225a33ae6e0356853872b48a427a7073e3d6c16b573dbd39f63d5c119e885\npk = 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= 758730f6351f1585950ca85056f81f6983ddbe4c44411cff4251067d816755344acc3c39c819695253c0e5f506b70b3755342c9bae4bd3d29e4e7e8ad091b64fd9b0da10705a", + 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= 1232\nsm = 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+ 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= 4541\nctx = 82bc6821ab9cce3155f8ca1eac60fb3a\n\ncount = 77\nxi = 71e40af6efa8a6e97026ff401965d2fbb7dd2daf83e12dcb604e1b2d705df2e4\nrng = 303a4880910fcddb3303075881189b6b72ef3063d8e512edabb94b71c310cce9\nseed = 837ada0c18ec02aefc78f9b4dac2c1cad2f6347ebbb842b7351ac4fc15be71846139662ff83d303ad2ebf96bb3d15dca\npk = 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= 1248\nsm = 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65a9b9f8e61301e862d86c40932648b1db1c8b8a4e54142b672c870f85acd547dd1c6b6abee8025f2a1cbdf22a47193aa864da0b5ede87b7794e79fea77c6d71507b73e7ec81163d1c3a968afed788129fa6d4b1d8e6d97504bfd867f6978a371bca5ce4595007ed2b23a493e66e52b6cd13da1b8d4975954c62391f31cf89c3a623159d3eff7dff15429199a965114b402f85349eeb753a2f5990e4125a8143ff18f3e960359b1f090d4b2cac2bd78ce286df57aa76d298789f1dfd3cbda855b36947b7bb0f91bad8ec1057aab23ccce9344c05d2a1dbb2019afc2cca766c15a3622df3e42f79a8aab35c832cb2672374e3be05ccfade1df9373f0465b75b3fd4c7795a403e4aa59ad429a868a674dd04efd4b23a56d6a2dd5ff9cc07a07ae2afc646426eaf1b3778d8b135102b5fb83f0d8a5fdad0434ef3d2061ccc8fa162d8d5fbc9ff6b27ed8f67f468de38f914ca5a26e00b73aa1ad179c99c2b98225f636018c399f0b3bd2f94b6f0390351476f722881f38565328d81cd46be58304ad897211d26619113d7fa6c54511aae81d0885273ac6747838133ff6ea44b98476f6d5d9eaa00e5fcc4bf7f069260dbd27e472629f9cec2f9b4663a2fd83063f51eec781eb31b4f00e96ea5adc1017d5f81c3aaf96d959c4b721bfbc3a3a793e0ac7e34d40c5d4bea4b2dbe1f169d268077b960846d4af68adaf72f474ff3269f7e38e43f18537fc08a00ec45f66522c73593b15f5d0c121379b99df851eafe13dbdfe12a190f548084fa71b5b84aa06eb5150962cdd8ad39c065e4fae9c7481bfc7913540eba98fc78363b1fb3b992f5f33f9c6e9ccd89833c5865d5fa0a7607e21908fdb2938d5ef175b917393ca384a5683e60e5ac89ba3e8f25d9752e1d56d59e4cb20cdb7b52fc62de32d107a0af6f46a8990f3e096156eac0432373d77d9b577beed6df40c1f09c8b21df89ac241722b2fdee0b4f203122e5e54dcff1683226f80b9b37be86ad7fd536e31389223c99c47a017238ca984be4a1cd6818d5789515d4eef037b2959f99c02f3f4c557b969a098f73790e364d55646f8792", + 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= 4557\nctx = 03bd095863d3ac5ae2486f6240d05623\n\ncount = 78\nxi = 7d90224197fd92fbded059d5e3cb74359213dcf829334d8615af9c4da5479371\nrng = f63dd2fa70837599259a4d865d42a8a81a86cad68df3360d21cfad1b4813a0a8\nseed = 265499558d3199e73320936e3faad17c675569edf01efcf5f318e3b61e0860c20b06ebc5264ec1939857c2d7d0452c66\npk = 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= 4589\nctx = 6e2cd66d70a575cd6ee5a77f278a7953\n\ncount = 80\nxi = 9cf39f351fe5d4edbfdabfb4b7d88ad0623706d430e8d243c43428b37fbf7dd2\nrng = b92738ab41f8764b5b8f8d205584ed8da1139c626ccb693b883249d48494818d\nseed = a12c88affc0cda9238af76ebfbbd43f74eb766087e86a90deb92db19684bd12eead7af49ec024152da367b740bbeace7\npk = 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= 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= 1296\nsm = 7a93a86a4e", + 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+ 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= 4605\nctx = c6f079d4c16ae2ce596954bcda89fcbe\n\ncount = 81\nxi = aedcab3a55a9c1fba2b2fc1e6a58abaf6a812df94e97f544f0cd039c6b096d04\nrng = 05d967e536819c5d7fcc2bfa5988f2e1469b80e1e2c2a81acabc59c0ffcf611d\nseed = 72421e5426f03698ee4f3e5a94f39bd1debd3f4daaa0be70433bc465095a7652635ff1c86496e5aab09810ee3d4824c5\npk = 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= 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= 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= 1312\nsm = 9285d021459e85f0d2678f92c2910f53c4666c4d01042da9ba1e55eb4c8a01749fd9fad2e122a14d2d0508e8bedb4f1b4ee06a7c773fd3073184565df0a2ac9993248e31a1b95efa792593a54bc50061a1853e76334607b5c4dd6d206ecc3b9ee3d33d2990aa0d4d17ebf01dee58915867d55b06d73deefdcdbf17b205149af775ddde3b8c94cbbeecddf1ffaecc9c49c4f8fc469fae1dd341c8ff420c7a31fcfdc88186c2e58adf26ba0ba02803816a9699297b309ee111d5340745d32cb90995d89e84e2136c9cd268eeff1b31f0b4545a407ccf7740aea88221", + 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= 1376\nsm = 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= 4685\nctx = 56a3bc1d764ff22f86c76e610deb1e45\n\ncount = 86\nxi = 57ec85879b8b57bd6fd6fe1d5b541efe9d30aa1ac649a0a425971898860b95bb\nrng = f1e5fa8ec1ab3b792adc21c6e893b172e579b0e99a51ffe85bf252cb04ef35df\nseed = 680e7895a498a67878d78a21f62ef119a24ee030c983e27e1358be4a3fadfb307895debd007d521f71a28205658d3fbb\npk = 0e4645613953c66ff", + 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= 4701\nctx = 5d6513bcc26fa4879a6929ab057dc003\n\ncount = 87\nxi = ac64b23942700f306528422e60f4d6ce654372ba21cf9bfd5bc4709ff441fcd1\nrng = b94cdb3c81537e7e51d621ddee08c204a168a83ee9502ea2022f9cf946b7147d\nseed = 5b17049a99bdf14a05556a4dd3d4890d6f8e47a750eaef60618d58405d039c558bb03edc0e755624baaf1770395c38bf\npk = 24edb36cf4a8b1a6b1b4d41bd2c786272d62c482619ac99cd656ef8538300fe5befbb28e78fbfa5baa0791b1de19d", + 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= 4733\nctx = b26c6758bb3d30962835999aadd1e7ea\n\ncount = 89\nxi = c2a0cdb3f225dbf415df43d409ebfbaf1cff320f30db29391d61e43bb705a798\nrng = 2575f8fa31a2063671b336a72b1e366f2b0016173dccae560bb26984eac6f551\nseed = fc101ad05b1b75c16e2906d348be58644090e77a32546dd01670fc25f5a23126914c92d3314cc3cd4b6c969e075691b2\npk = ebb79f6d18e59321f82ab13cf07f3481d33d75b77e9748ae7cd16", + 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\nmlen = 1440\nsm = 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= 1456\nsm = 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= 4765\nctx = 7d83ed4e840c0d2904511d1ae1c7393b\n\ncount = 91\nxi = f5", + "3dae1c63cfc7ff1fca2dfec97c8f7364734d6e36e22d5b3ad9952a5dbe0513\nrng = 641ecd3e7268229f337d4f54debb9eff51bbcfc347de579ed7df09836b1254e1\nseed = 2eb2e7ee36ac469aa9b02405f45c7973dd381b4eddbe81902f1f23e9484c19edd77c4362a3d3c3f44b04d6aedc0e1d17\npk = 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\nmlen = 1472\nsm = 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\nmlen 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= 4829\nctx = 8bc6d40ace6e5c3b56fb2416d68ff878\n\ncount = 95\nxi = 1fc2fe5f0337cf7a354045f1abf0a1051e6c99fff710eb2c37823487e0445a1c\nrng = 8b8a04ff4f9b13ee6df75a18f50b425986ec13157c0c516f74ae16a3e6b12ebf\nseed = 2104e67d3a555368d00f69464d2e1ea0a5f193801150239ce9c43d673fe3ea249c1dfd9449af4637c9120a683aeb58a4\npk = 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= 1568\nsm = 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+ 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= 4877\nctx = 38c3acdc7cfbffeb0bbe5287b8d5fdfe\n\ncount = 98\nxi = 53b2cb9b18d442f21fd92184fe5dc67642c0dd2827f63a4eb0ebf0e398e234c8\nrng = db86a0e9d142dd907b19a59d28e3ee27b4f931c478dc298158967bbcc5f411e7\nseed = 7895b759f74e40a1ce287df4b63fda8c19a34d7bda6c3e31dd31cd58e17e1084d33dae4f20861cf0b022e047abbccf01\npk = 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= fcbc1ba58b3bca30b77a0484783d9bd91ce0a8a8c7c5d3e497ac7613e8c06abc5ed985fb12a60744e31bc9b700cb8a418727d6af53943512fc6e75094cd11d992ba0451d95455b39814d982fb683dbf51dab6f045ae704bc3a3607325c3a04f2f677b19e9068777a6c8130c2ed2c36d596e47c561aa9d78e6d350f2e7105c8479427add30e4f0129a5520d8f01fd83ab0cde3a4d0b42d9cf5062567f907af2bc30d95e2bc280e2c6a155587efc50bd4ad113926c81e228bc39a82ae7f867abdd6d33f33fb456686b9acd3d0443d60f43", + "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\nmlen = 1600\nsm = 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+ "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\nsmlen = 4909\nctx = 0a37dc6c1952bc1d363a68381062ad3e\n", }; static const size_t kLen45 = 69583; @@ -13220,7 +13180,7 @@ std::string GetTestData(const char *path) { if (strcmp(path, "crypto/cipher_extra/test/nist_cavp/tdes_ecb.txt") == 0) { return AssembleString(kData43, kLen43); } - if (strcmp(path, "crypto/dilithium/kat/mldsa65.txt") == 0) { + if (strcmp(path, "crypto/dilithium/kat/MLDSA_65_hedged_pure.txt") == 0) { return AssembleString(kData44, kLen44); } if (strcmp(path, "crypto/ecdh_extra/ecdh_tests.txt") == 0) { diff --git a/sources.cmake b/sources.cmake index 6fa7a17f05..e449acfd85 100644 --- a/sources.cmake +++ b/sources.cmake @@ -50,7 +50,7 @@ set( crypto/cipher_extra/test/nist_cavp/aes_256_gcm.txt crypto/cipher_extra/test/nist_cavp/tdes_cbc.txt crypto/cipher_extra/test/nist_cavp/tdes_ecb.txt - crypto/dilithium/kat/mldsa65.txt + crypto/dilithium/kat/MLDSA_65_hedged_pure.txt crypto/ecdh_extra/ecdh_tests.txt crypto/evp_extra/kbkdf_expand_tests.txt crypto/evp_extra/sshkdf_tests.txt From 54ca1098fc3bc9a0629a24931e041dc72561bda6 Mon Sep 17 00:00:00 2001 From: Jake Massimo Date: Tue, 19 Nov 2024 10:04:55 -0800 Subject: [PATCH 02/12] CR fixes --- crypto/dilithium/p_pqdsa_test.cc | 5 +- .../pqcrystals_dilithium_ref_common/params.h | 2 - .../pqcrystals_dilithium_ref_common/sign.c | 120 ++++++++++++------ .../pqcrystals_dilithium_ref_common/sign.h | 6 + 4 files changed, 91 insertions(+), 42 deletions(-) diff --git a/crypto/dilithium/p_pqdsa_test.cc b/crypto/dilithium/p_pqdsa_test.cc index 1c7c1202c0..82c0d5dcac 100644 --- a/crypto/dilithium/p_pqdsa_test.cc +++ b/crypto/dilithium/p_pqdsa_test.cc @@ -403,14 +403,11 @@ TEST_P(PQDSAParameterTest, KAT) { EXPECT_EQ(Bytes(priv), Bytes(sk)); // Prepare m_prime = (0 || ctxlen || ctx) as in FIPS 204: Algorithm 2 line 10 - size_t i; uint8_t m_prime[257]; size_t m_prime_len = ctxstr.size() + 2; m_prime[0] = 0; m_prime[1] = ctxstr.size(); - for(i = 0; i < ctxstr.size(); i++) { - m_prime[2 + i] = ctxstr[i]; - } + OPENSSL_memcpy(m_prime + 2 , ctxstr.data(), ctxstr.size()); // Generate signature by signing |msg|, assert that signature is equal // to expected value from KAT, then verify signature. diff --git a/crypto/dilithium/pqcrystals_dilithium_ref_common/params.h b/crypto/dilithium/pqcrystals_dilithium_ref_common/params.h index 4fc179d574..789bb9395b 100644 --- a/crypto/dilithium/pqcrystals_dilithium_ref_common/params.h +++ b/crypto/dilithium/pqcrystals_dilithium_ref_common/params.h @@ -1,8 +1,6 @@ #ifndef PARAMS_H #define PARAMS_H -#define DILITHIUM_RANDOMIZED_SIGNING - // The only defined parameters are those that don't depend // on the parameter set. All other parameters are specified // in ml_dsa_params structure that is unique for each parameter diff --git a/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c b/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c index aaeaf5afba..c79c1ed6b1 100644 --- a/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c +++ b/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c @@ -68,7 +68,6 @@ int crypto_sign_keypair_internal(ml_dsa_params *params, /* Compute H(rho, t1) and write secret key */ shake256(tr, TRBYTES, pk, params->public_key_bytes); pack_sk(params, sk, rho, tr, key, &t0, &s1, &s2); - return 0; } @@ -84,12 +83,14 @@ int crypto_sign_keypair_internal(ml_dsa_params *params, * - uint8_t *sk: pointer to output private key (allocated * array of CRYPTO_SECRETKEYBYTES bytes) * -* Returns 0 (success) +* Returns 0 (success) -1 on failure **************************************************/ int crypto_sign_keypair(ml_dsa_params *params, uint8_t *pk, uint8_t *sk) { uint8_t seed[SEEDBYTES]; /* Get randomness for rho, rhoprime and key */ - RAND_bytes(seed, SEEDBYTES); + if (!RAND_bytes(seed, SEEDBYTES)) { + return -1; + } crypto_sign_keypair_internal(params, pk, sk, seed); return 0; } @@ -189,8 +190,9 @@ int crypto_sign_signature_internal(ml_dsa_params *params, polyvecl_invntt_tomont(params, &z); polyvecl_add(params, &z, &z, &y); polyvecl_reduce(params, &z); - if(polyvecl_chknorm(params, &z, params->gamma1 - params->beta)) + if(polyvecl_chknorm(params, &z, params->gamma1 - params->beta)) { goto rej; + } /* Check that subtracting cs2 does not change high bits of w and low bits * do not reveal secret information */ @@ -198,20 +200,23 @@ int crypto_sign_signature_internal(ml_dsa_params *params, polyveck_invntt_tomont(params, &h); polyveck_sub(params, &w0, &w0, &h); polyveck_reduce(params, &w0); - if(polyveck_chknorm(params, &w0, params->gamma2 - params->beta)) + if(polyveck_chknorm(params, &w0, params->gamma2 - params->beta)) { goto rej; + } /* Compute hints for w1 */ polyveck_pointwise_poly_montgomery(params, &h, &cp, &t0); polyveck_invntt_tomont(params, &h); polyveck_reduce(params, &h); - if(polyveck_chknorm(params, &h, params->gamma2)) + if(polyveck_chknorm(params, &h, params->gamma2)) { goto rej; + } polyveck_add(params, &w0, &w0, &h); n = polyveck_make_hint(params, &h, &w0, &w1); - if(n > params->omega) + if(n > params->omega) { goto rej; + } /* Write signature */ pack_sig(params, sig, sig, &z, &h); @@ -223,7 +228,7 @@ int crypto_sign_signature_internal(ml_dsa_params *params, * Name: crypto_sign_signature * * Description: FIPS 204: Algorithm 2 ML-DSA.Sign. -* Computes signature. +* Computes signature in hedged mode. * * Arguments: - uint8_t *sig: pointer to output signature (of length CRYPTO_BYTES) * - size_t *siglen: pointer to output length of signature @@ -244,27 +249,64 @@ int crypto_sign_signature(ml_dsa_params *params, size_t ctxlen, const uint8_t *sk) { - size_t i; uint8_t pre[257]; uint8_t rnd[RNDBYTES]; - if(ctxlen > 255) + if(ctxlen > 255) { return -1; - + } /* Prepare pre = (0, ctxlen, ctx) */ pre[0] = 0; pre[1] = ctxlen; - for(i = 0; i < ctxlen; i++) - pre[2 + i] = ctx[i]; + OPENSSL_memcpy(pre + 2 , ctx, ctxlen); -#ifdef DILITHIUM_RANDOMIZED_SIGNING - if (!RAND_bytes(rnd, RNDBYTES)) + if (!RAND_bytes(rnd, RNDBYTES)) { return -1; -#else - for(i=0;i 255) { + return -1; + } + /* Prepare pre = (0, ctxlen, ctx) */ + pre[0] = 0; + pre[1] = ctxlen; + OPENSSL_memcpy(pre + 2 , ctx, ctxlen); + // For deterministic modes, |rnd| is all zeros + for(size_t i = 0; i < RNDBYTES; i++) { + rnd[i] = 0; + } crypto_sign_signature_internal(params, sig, siglen, m, mlen, pre, 2 + ctxlen, rnd, sk); return 0; } @@ -300,8 +342,9 @@ int crypto_sign(ml_dsa_params *params, int ret; size_t i; - for(i = 0; i < mlen; ++i) + for(i = 0; i < mlen; ++i) { sm[params->bytes + mlen - 1 - i] = m[mlen - 1 - i]; + } ret = crypto_sign_signature(params, sm, smlen, sm + params->bytes, mlen, ctx, ctxlen, sk); *smlen += mlen; return ret; @@ -344,14 +387,17 @@ int crypto_sign_verify_internal(ml_dsa_params *params, polyveck t1, w1, h; keccak_state state; - if(siglen != params->bytes) + if(siglen != params->bytes) { return -1; + } unpack_pk(params, rho, &t1, pk); - if(unpack_sig(params, c, &z, &h, sig)) + if(unpack_sig(params, c, &z, &h, sig)) { return -1; - if(polyvecl_chknorm(params, &z, params->gamma1 - params->beta)) + } + if(polyvecl_chknorm(params, &z, params->gamma1 - params->beta)) { return -1; + } /* Compute CRH(H(rho, t1), msg) */ shake256(mu, TRBYTES, pk, params->public_key_bytes); @@ -389,10 +435,11 @@ int crypto_sign_verify_internal(ml_dsa_params *params, shake256_absorb(&state, buf, params->k * params->poly_w1_packed_bytes); shake256_finalize(&state); shake256_squeeze(c2, params->c_tilde_bytes, &state); - for(i = 0; i < params->c_tilde_bytes; ++i) - if(c[i] != c2[i]) + for(i = 0; i < params->c_tilde_bytes; ++i) { + if(c[i] != c2[i]) { return -1; - + } + } return 0; } @@ -422,17 +469,15 @@ int crypto_sign_verify(ml_dsa_params *params, size_t ctxlen, const uint8_t *pk) { - size_t i; uint8_t pre[257]; - if(ctxlen > 255) + if(ctxlen > 255) { return -1; + } pre[0] = 0; pre[1] = ctxlen; - for(i = 0; i < ctxlen; i++) - pre[2 + i] = ctx[i]; - + OPENSSL_memcpy(pre + 2 , ctx, ctxlen); return crypto_sign_verify_internal(params, sig, siglen, m, mlen, pre, 2 + ctxlen, pk); } @@ -462,26 +507,29 @@ int crypto_sign_open(ml_dsa_params *params, size_t ctxlen, const uint8_t *pk) { - size_t i; - if(smlen < params->bytes) + if(smlen < params->bytes) { goto badsig; + } *mlen = smlen - params->bytes; - if(crypto_sign_verify(params,sm, params->bytes, sm + params->bytes, *mlen, ctx, ctxlen, pk)) + if(crypto_sign_verify(params,sm, params->bytes, sm + params->bytes, *mlen, ctx, ctxlen, pk)) { goto badsig; + } else { /* All good, copy msg, return 0 */ - for(i = 0; i < *mlen; ++i) + for(size_t i = 0; i < *mlen; ++i) { m[i] = sm[params->bytes + i]; + } return 0; } badsig: /* Signature verification failed */ *mlen = 0; - for(i = 0; i < smlen; ++i) + for(size_t i = 0; i < smlen; ++i) { m[i] = 0; + } return -1; } diff --git a/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.h b/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.h index 9110d6e793..65ca24f263 100644 --- a/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.h +++ b/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.h @@ -18,6 +18,12 @@ int crypto_sign_signature(ml_dsa_params *params, const uint8_t *ctx, size_t ctxlen, const uint8_t *sk); +int crypto_sign_signature_deterministic(ml_dsa_params *params, + uint8_t *sig, size_t *siglen, + const uint8_t *m, size_t mlen, + const uint8_t *ctx, size_t ctxlen, + const uint8_t *sk); + int crypto_sign_signature_internal(ml_dsa_params *params, uint8_t *sig, size_t *siglen, const uint8_t *m, size_t mlen, From 1bbbb244c7d7aa3284394b288570256ef1a8144d Mon Sep 17 00:00:00 2001 From: Jake Massimo Date: Tue, 19 Nov 2024 10:13:45 -0800 Subject: [PATCH 03/12] documentation update --- crypto/dilithium/pqcrystals_dilithium_ref_common/README.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/crypto/dilithium/pqcrystals_dilithium_ref_common/README.md b/crypto/dilithium/pqcrystals_dilithium_ref_common/README.md index 9fe0d8c703..834853074b 100644 --- a/crypto/dilithium/pqcrystals_dilithium_ref_common/README.md +++ b/crypto/dilithium/pqcrystals_dilithium_ref_common/README.md @@ -4,7 +4,7 @@ The source code in this folder implements ML-DSA as defined in FIPS 204 Module-L **Source code origin and modifications** -The source code was imported from a branch of the official repository of the Crystals-Dilithium team: https://github.com/pq-crystals/dilithium. The code was taken at [commit](https://github.com/pq-crystals/dilithium/commit/cbcd8753a43402885c90343cd6335fb54712cda1) as of 10/01/2024. At the moment, only the reference C implementation is imported. +The source code was imported from a branch of the official repository of the Crystals-Dilithium team: https://github.com/pq-crystals/dilithium. The code was taken at [commit](https://github.com/pq-crystals/dilithium/commit/444cdcc84eb36b66fe27b3a2529ee48f6d8150c2) as of 10/29/2024. At the moment, only the reference C implementation is imported. The code was refactored in [this PR](https://github.com/aws/aws-lc/pull/1910) by parameterizing all functions that depend on values that are specific to a parameter set, i.e., that directly or indirectly depend on the value of `DILITHIUM_MODE`. To do this, in `params.h` we defined a structure that holds those ML-DSA parameters and functions that initialize a given structure with values corresponding to a parameter set. This structure is then passed to every function that requires it as a function argument. In addition, the following changes were made to the source code in `pqcrystals_dilithium_ref_common` directory: @@ -18,4 +18,4 @@ that initialize a given structure with values corresponding to a parameter set. **Testing** -The KATs were obtained from https://github.com/post-quantum-cryptography/KAT. \ No newline at end of file +The KATs were obtained from https://github.com/post-quantum-cryptography/KAT. They have been modified to insert linebreaks between each test vector set. \ No newline at end of file From dc471ec45e5bb095f0db6b3f5c3373d2ee0cd200 Mon Sep 17 00:00:00 2001 From: Jake Massimo Date: Tue, 19 Nov 2024 11:58:50 -0800 Subject: [PATCH 04/12] size to uint8 --- crypto/dilithium/pqcrystals_dilithium_ref_common/params.h | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/crypto/dilithium/pqcrystals_dilithium_ref_common/params.h b/crypto/dilithium/pqcrystals_dilithium_ref_common/params.h index 789bb9395b..2369996c37 100644 --- a/crypto/dilithium/pqcrystals_dilithium_ref_common/params.h +++ b/crypto/dilithium/pqcrystals_dilithium_ref_common/params.h @@ -18,8 +18,8 @@ // Structure for ML-DSA parameters that depend on the parameter set. typedef struct { - size_t k; - size_t l; + uint8_t k; + uint8_t l; size_t eta; size_t tau; size_t beta; From aada875da98c6f173d11a001195b81f47cdcc451 Mon Sep 17 00:00:00 2001 From: Jake Massimo Date: Wed, 20 Nov 2024 10:53:46 -0800 Subject: [PATCH 05/12] removed deterministic mode, edit pqdsa test --- crypto/dilithium/p_pqdsa_test.cc | 27 +++++++----- .../pqcrystals_dilithium_ref_common/sign.c | 44 ------------------- .../pqcrystals_dilithium_ref_common/sign.h | 6 --- 3 files changed, 16 insertions(+), 61 deletions(-) diff --git a/crypto/dilithium/p_pqdsa_test.cc b/crypto/dilithium/p_pqdsa_test.cc index 82c0d5dcac..329cf5179c 100644 --- a/crypto/dilithium/p_pqdsa_test.cc +++ b/crypto/dilithium/p_pqdsa_test.cc @@ -388,6 +388,7 @@ TEST_P(PQDSAParameterTest, KAT) { size_t pk_len = GetParam().public_key_len; size_t sk_len = GetParam().private_key_len; size_t sig_len = GetParam().signature_len; + std::string name = GetParam().name; std::vector pub(pk_len); std::vector priv(sk_len); @@ -398,7 +399,9 @@ TEST_P(PQDSAParameterTest, KAT) { // Generate key pair from seed xi and assert that public and private keys // are equal to expected values from KAT - ASSERT_TRUE(ml_dsa_65_keypair_internal(pub.data(),priv.data(),xi.data())); + if (name == "MLDSA65") { + ASSERT_TRUE(ml_dsa_65_keypair_internal(pub.data(),priv.data(),xi.data())); + } EXPECT_EQ(Bytes(pub), Bytes(pk)); EXPECT_EQ(Bytes(priv), Bytes(sk)); @@ -411,16 +414,18 @@ TEST_P(PQDSAParameterTest, KAT) { // Generate signature by signing |msg|, assert that signature is equal // to expected value from KAT, then verify signature. - ASSERT_TRUE(ml_dsa_65_sign_internal(priv.data(), - signature.data(), &sig_len, - msg.data(), mlen_int, - m_prime,m_prime_len, - rng.data())); - ASSERT_EQ(Bytes(signature), Bytes(sm)); - ASSERT_TRUE(ml_dsa_65_verify_internal(pub.data(), - signature.data(), sig_len, - msg.data(), mlen_int, - m_prime, m_prime_len)); + if (name == "MLDSA65") { + ASSERT_TRUE(ml_dsa_65_sign_internal(priv.data(), + signature.data(), &sig_len, + msg.data(), mlen_int, + m_prime,m_prime_len, + rng.data())); + ASSERT_EQ(Bytes(signature), Bytes(sm)); + ASSERT_TRUE(ml_dsa_65_verify_internal(pub.data(), + signature.data(), sig_len, + msg.data(), mlen_int, + m_prime, m_prime_len)); + } }); } diff --git a/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c b/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c index c79c1ed6b1..4bff6d6ff8 100644 --- a/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c +++ b/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c @@ -267,50 +267,6 @@ int crypto_sign_signature(ml_dsa_params *params, return 0; } -/************************************************* -* Name: crypto_sign_signature_deterministic -* -* Description: FIPS 204: Algorithm 2 ML-DSA.Sign. -* Computes signature in determinsitic mode. -* -* Arguments: - uint8_t *sig: pointer to output signature (of length CRYPTO_BYTES) -* - size_t *siglen: pointer to output length of signature -* - uint8_t *m: pointer to message to be signed -* - size_t mlen: length of message -* - uint8_t *ctx: pointer to contex string -* - size_t ctxlen: length of contex string -* - uint8_t *sk: pointer to bit-packed secret key -* -* Returns 0 (success) or -1 (context string too long) -**************************************************/ -int crypto_sign_signature_deterministic(ml_dsa_params *params, - uint8_t *sig, - size_t *siglen, - const uint8_t *m, - size_t mlen, - const uint8_t *ctx, - size_t ctxlen, - const uint8_t *sk) -{ - uint8_t pre[257]; - uint8_t rnd[RNDBYTES]; - - if(ctxlen > 255) { - return -1; - } - /* Prepare pre = (0, ctxlen, ctx) */ - pre[0] = 0; - pre[1] = ctxlen; - OPENSSL_memcpy(pre + 2 , ctx, ctxlen); - - // For deterministic modes, |rnd| is all zeros - for(size_t i = 0; i < RNDBYTES; i++) { - rnd[i] = 0; - } - crypto_sign_signature_internal(params, sig, siglen, m, mlen, pre, 2 + ctxlen, rnd, sk); - return 0; -} - /************************************************* * Name: crypto_sign * diff --git a/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.h b/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.h index 65ca24f263..9110d6e793 100644 --- a/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.h +++ b/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.h @@ -18,12 +18,6 @@ int crypto_sign_signature(ml_dsa_params *params, const uint8_t *ctx, size_t ctxlen, const uint8_t *sk); -int crypto_sign_signature_deterministic(ml_dsa_params *params, - uint8_t *sig, size_t *siglen, - const uint8_t *m, size_t mlen, - const uint8_t *ctx, size_t ctxlen, - const uint8_t *sk); - int crypto_sign_signature_internal(ml_dsa_params *params, uint8_t *sig, size_t *siglen, const uint8_t *m, size_t mlen, From 061ebceca90a012a0e8ba261f71c8724251a42ea Mon Sep 17 00:00:00 2001 From: Jake Massimo Date: Wed, 20 Nov 2024 16:13:56 -0800 Subject: [PATCH 06/12] CR fixes --- crypto/dilithium/p_pqdsa_test.cc | 127 ++++++++++-------- .../pqcrystals_dilithium_ref_common/README.md | 2 +- .../pqcrystals_dilithium_ref_common/sign.c | 1 - 3 files changed, 70 insertions(+), 60 deletions(-) diff --git a/crypto/dilithium/p_pqdsa_test.cc b/crypto/dilithium/p_pqdsa_test.cc index 329cf5179c..0b3b076d06 100644 --- a/crypto/dilithium/p_pqdsa_test.cc +++ b/crypto/dilithium/p_pqdsa_test.cc @@ -354,6 +354,11 @@ CMP_VEC_AND_PTR(vec, pkey->pkey.pqdsa_key->public_key, len) #define CMP_VEC_AND_PKEY_SECRET(vec, pkey, len) \ CMP_VEC_AND_PTR(vec, pkey->pkey.pqdsa_key->private_key, len) +// The PQDSAParameterTest performs testing on each of the named algorithms +// in the list PQDSA_types. This name must exactly match the name provided in +// PQDSATestVector.name for the test vector to run. +std::vector PQDSA_types{"MLDSA65"}; + static const struct PQDSATestVector parameterSet[] = { {"MLDSA65", NID_MLDSA65, 1952, 4032, 3309, "dilithium/kat/MLDSA_65_hedged_pure.txt", mldsa65kPublicKey, mldsa65kPublicKeySPKI, 1974}, }; @@ -369,64 +374,70 @@ TEST_P(PQDSAParameterTest, KAT) { std::string kat_filepath = "crypto/"; kat_filepath += GetParam().kat_filename; - FileTestGTest(kat_filepath.c_str(), [&](FileTest *t) { - std::string count, mlen, smlen; - std::vector xi, rng, seed, msg, pk, sk, sm, ctxstr; - - ASSERT_TRUE(t->GetAttribute(&count, "count")); - ASSERT_TRUE(t->GetBytes(&xi, "xi")); - ASSERT_TRUE(t->GetBytes(&rng, "rng")); - ASSERT_TRUE(t->GetBytes(&seed, "seed")); - ASSERT_TRUE(t->GetBytes(&pk, "pk")); - ASSERT_TRUE(t->GetBytes(&sk, "sk")); - ASSERT_TRUE(t->GetBytes(&msg, "msg")); - ASSERT_TRUE(t->GetAttribute(&mlen, "mlen")); - ASSERT_TRUE(t->GetBytes(&sm, "sm")); - ASSERT_TRUE(t->GetAttribute(&smlen, "smlen")); - ASSERT_TRUE(t->GetBytes(&ctxstr, "ctx")); - - size_t pk_len = GetParam().public_key_len; - size_t sk_len = GetParam().private_key_len; - size_t sig_len = GetParam().signature_len; - std::string name = GetParam().name; - - std::vector pub(pk_len); - std::vector priv(sk_len); - std::vector signature(sig_len); - - size_t mlen_int = std::stoi(mlen); - sm.resize(sig_len); - - // Generate key pair from seed xi and assert that public and private keys - // are equal to expected values from KAT - if (name == "MLDSA65") { - ASSERT_TRUE(ml_dsa_65_keypair_internal(pub.data(),priv.data(),xi.data())); - } - EXPECT_EQ(Bytes(pub), Bytes(pk)); - EXPECT_EQ(Bytes(priv), Bytes(sk)); - - // Prepare m_prime = (0 || ctxlen || ctx) as in FIPS 204: Algorithm 2 line 10 - uint8_t m_prime[257]; - size_t m_prime_len = ctxstr.size() + 2; - m_prime[0] = 0; - m_prime[1] = ctxstr.size(); - OPENSSL_memcpy(m_prime + 2 , ctxstr.data(), ctxstr.size()); - - // Generate signature by signing |msg|, assert that signature is equal - // to expected value from KAT, then verify signature. - if (name == "MLDSA65") { - ASSERT_TRUE(ml_dsa_65_sign_internal(priv.data(), - signature.data(), &sig_len, - msg.data(), mlen_int, - m_prime,m_prime_len, - rng.data())); - ASSERT_EQ(Bytes(signature), Bytes(sm)); - ASSERT_TRUE(ml_dsa_65_verify_internal(pub.data(), - signature.data(), sig_len, - msg.data(), mlen_int, - m_prime, m_prime_len)); - } - }); + // Only peform the KAT if the parameter name matches one in PQDSA_types + std::string name = GetParam().name; + if (std::find(std::begin(PQDSA_types), std::end(PQDSA_types), name) + != std::end(PQDSA_types)) { + + FileTestGTest(kat_filepath.c_str(), [&](FileTest *t) { + std::string count, mlen, smlen; + std::vector xi, rng, seed, msg, pk, sk, sm, ctxstr; + + ASSERT_TRUE(t->GetAttribute(&count, "count")); + ASSERT_TRUE(t->GetBytes(&xi, "xi")); + ASSERT_TRUE(t->GetBytes(&rng, "rng")); + ASSERT_TRUE(t->GetBytes(&seed, "seed")); + ASSERT_TRUE(t->GetBytes(&pk, "pk")); + ASSERT_TRUE(t->GetBytes(&sk, "sk")); + ASSERT_TRUE(t->GetBytes(&msg, "msg")); + ASSERT_TRUE(t->GetAttribute(&mlen, "mlen")); + ASSERT_TRUE(t->GetBytes(&sm, "sm")); + ASSERT_TRUE(t->GetAttribute(&smlen, "smlen")); + ASSERT_TRUE(t->GetBytes(&ctxstr, "ctx")); + + size_t pk_len = GetParam().public_key_len; + size_t sk_len = GetParam().private_key_len; + size_t sig_len = GetParam().signature_len; + + std::vector pub(pk_len); + std::vector priv(sk_len); + std::vector signature(sig_len); + + size_t mlen_int = std::stoi(mlen); + sm.resize(sig_len); + + // Generate key pair from seed xi and assert that public and private keys + // are equal to expected values from KAT + if (name == "MLDSA65") { + ASSERT_TRUE(ml_dsa_65_keypair_internal(pub.data(), priv.data(), xi.data())); + } + EXPECT_EQ(Bytes(pub), Bytes(pk)); + EXPECT_EQ(Bytes(priv), Bytes(sk)); + + // Prepare m_prime = (0 || ctxlen || ctx) as in FIPS 204: Algorithm 2 line 10 + uint8_t m_prime[257]; + size_t m_prime_len = ctxstr.size() + 2; + m_prime[0] = 0; + m_prime[1] = ctxstr.size(); + ASSERT_TRUE(ctxstr.size() <= 255); + OPENSSL_memcpy(m_prime + 2 , ctxstr.data(), ctxstr.size()); + + // Generate signature by signing |msg|, assert that signature is equal + // to expected value from KAT, then verify signature. + if (name == "MLDSA65") { + ASSERT_TRUE(ml_dsa_65_sign_internal(priv.data(), + signature.data(), &sig_len, + msg.data(), mlen_int, + m_prime, m_prime_len, + rng.data())); + ASSERT_EQ(Bytes(signature), Bytes(sm)); + ASSERT_TRUE(ml_dsa_65_verify_internal(pub.data(), + signature.data(), sig_len, + msg.data(), mlen_int, + m_prime, m_prime_len)); + } + }); + } } TEST_P(PQDSAParameterTest, KeyGen) { diff --git a/crypto/dilithium/pqcrystals_dilithium_ref_common/README.md b/crypto/dilithium/pqcrystals_dilithium_ref_common/README.md index 834853074b..f2863c415a 100644 --- a/crypto/dilithium/pqcrystals_dilithium_ref_common/README.md +++ b/crypto/dilithium/pqcrystals_dilithium_ref_common/README.md @@ -18,4 +18,4 @@ that initialize a given structure with values corresponding to a parameter set. **Testing** -The KATs were obtained from https://github.com/post-quantum-cryptography/KAT. They have been modified to insert linebreaks between each test vector set. \ No newline at end of file +The KATs were obtained from https://github.com/post-quantum-cryptography/KAT. We select the KATs for the signing mode `hedged`, which derives the signing private random seed (rho) pseudorandomly from the signer's private key, the message to be signed, and a 256-bit string `rnd` which is generated at random. The `pure` variant of these KATs were used, as they provide test vector inputs for "pure" i.e., non-pre-hashed messages. The KAT files have been modified to insert linebreaks between each test vector set. \ No newline at end of file diff --git a/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c b/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c index 4bff6d6ff8..4567b9d07b 100644 --- a/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c +++ b/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c @@ -87,7 +87,6 @@ int crypto_sign_keypair_internal(ml_dsa_params *params, **************************************************/ int crypto_sign_keypair(ml_dsa_params *params, uint8_t *pk, uint8_t *sk) { uint8_t seed[SEEDBYTES]; - /* Get randomness for rho, rhoprime and key */ if (!RAND_bytes(seed, SEEDBYTES)) { return -1; } From 7e788036d16d820c8c5c212eee618e9ef843d565 Mon Sep 17 00:00:00 2001 From: Jake Massimo Date: Thu, 21 Nov 2024 08:59:49 -0800 Subject: [PATCH 07/12] documentation --- crypto/dilithium/p_pqdsa_test.cc | 8 +++++++- 1 file changed, 7 insertions(+), 1 deletion(-) diff --git a/crypto/dilithium/p_pqdsa_test.cc b/crypto/dilithium/p_pqdsa_test.cc index 0b3b076d06..e7bf8c6553 100644 --- a/crypto/dilithium/p_pqdsa_test.cc +++ b/crypto/dilithium/p_pqdsa_test.cc @@ -404,6 +404,11 @@ TEST_P(PQDSAParameterTest, KAT) { std::vector signature(sig_len); size_t mlen_int = std::stoi(mlen); + + // The KATs provide the signed message, which is the signature appended with + // the message that was signed. We use the ML-DSA APIs for sign_signature + // and not sign_message, which return the signature without the appended + // message, so we truncate the signed messaged to |sig_len|. sm.resize(sig_len); // Generate key pair from seed xi and assert that public and private keys @@ -414,7 +419,8 @@ TEST_P(PQDSAParameterTest, KAT) { EXPECT_EQ(Bytes(pub), Bytes(pk)); EXPECT_EQ(Bytes(priv), Bytes(sk)); - // Prepare m_prime = (0 || ctxlen || ctx) as in FIPS 204: Algorithm 2 line 10 + // Prepare m_prime = (0 || ctxlen || ctx) + // See both FIPS 204: Algorithm 2 line 10 and FIPS 205: Algorithm 22 line 8 uint8_t m_prime[257]; size_t m_prime_len = ctxstr.size() + 2; m_prime[0] = 0; From 8c3d53e8abe8cdd6783c64bc34e98352d44a83fd Mon Sep 17 00:00:00 2001 From: Jake Massimo Date: Thu, 21 Nov 2024 09:41:21 -0800 Subject: [PATCH 08/12] added documentation to keygen sign verify --- .../pqcrystals_dilithium_ref_common/sign.c | 42 ++++++++++--------- 1 file changed, 22 insertions(+), 20 deletions(-) diff --git a/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c b/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c index 4567b9d07b..659ff624f3 100644 --- a/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c +++ b/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c @@ -43,14 +43,14 @@ int crypto_sign_keypair_internal(ml_dsa_params *params, rhoprime = rho + SEEDBYTES; key = rhoprime + CRHBYTES; - /* Expand matrix */ + /* FIPS 204: line 3 Expand matrix */ polyvec_matrix_expand(params, mat, rho); - /* Sample short vectors s1 and s2 */ + /* FIPS 204: line 4 Sample short vectors s1 and s2 */ polyvecl_uniform_eta(params, &s1, rhoprime, 0); polyveck_uniform_eta(params, &s2, rhoprime, params->l); - /* Matrix-vector multiplication */ + /* FIPS 204: line 5 Matrix-vector multiplication */ s1hat = s1; polyvecl_ntt(params, &s1hat); polyvec_matrix_pointwise_montgomery(params, &t1, mat, &s1hat); @@ -60,12 +60,13 @@ int crypto_sign_keypair_internal(ml_dsa_params *params, /* Add error vector s2 */ polyveck_add(params, &t1, &t1, &s2); - /* Extract t1 and write public key */ + /* FIPS 204: line 6 Extract t1 and write public key */ polyveck_caddq(params, &t1); polyveck_power2round(params, &t1, &t0, &t1); + /* FIPS 204: line 8 */ pack_pk(params, pk, rho, &t1); - /* Compute H(rho, t1) and write secret key */ + /* FIPS 204: line 9 Compute H(rho, t1) and line 10 write secret key */ shake256(tr, TRBYTES, pk, params->public_key_bytes); pack_sk(params, sk, rho, tr, key, &t0, &s1, &s2); return 0; @@ -136,9 +137,10 @@ int crypto_sign_signature_internal(ml_dsa_params *params, key = tr + TRBYTES; mu = key + SEEDBYTES; rhoprime = mu + CRHBYTES; + /* FIPS 204: line 1 */ unpack_sk(params, rho, tr, key, &t0, &s1, &s2, sk); - /* Compute mu = CRH(tr, pre, msg) */ + /* FIPS 204: line 6 Compute mu = CRH(tr, pre, msg) */ shake256_init(&state); shake256_absorb(&state, tr, TRBYTES); shake256_absorb(&state, pre, prelen); @@ -146,7 +148,7 @@ int crypto_sign_signature_internal(ml_dsa_params *params, shake256_finalize(&state); shake256_squeeze(mu, CRHBYTES, &state); - /* Compute rhoprime = CRH(key, rnd, mu) */ + /* FIPS 204: line 7 Compute rhoprime = CRH(key, rnd, mu) */ shake256_init(&state); shake256_absorb(&state, key, SEEDBYTES); shake256_absorb(&state, rnd, RNDBYTES); @@ -154,24 +156,24 @@ int crypto_sign_signature_internal(ml_dsa_params *params, shake256_finalize(&state); shake256_squeeze(rhoprime, CRHBYTES, &state); - /* Expand matrix and transform vectors */ + /* FIPS 204: line 5 Expand matrix and transform vectors */ polyvec_matrix_expand(params, mat, rho); polyvecl_ntt(params, &s1); polyveck_ntt(params, &s2); polyveck_ntt(params, &t0); rej: - /* Sample intermediate vector y */ + /* FIPS 204: line 11 Sample intermediate vector y */ polyvecl_uniform_gamma1(params, &y, rhoprime, nonce++); - /* Matrix-vector multiplication */ + /* FIPS 204: line 12 Matrix-vector multiplication */ z = y; polyvecl_ntt(params, &z); polyvec_matrix_pointwise_montgomery(params, &w1, mat, &z); polyveck_reduce(params, &w1); polyveck_invntt_tomont(params, &w1); - /* Decompose w and call the random oracle */ + /* FIPS 204: line 13 - 14 Decompose w and call the random oracle */ polyveck_caddq(params, &w1); polyveck_decompose(params, &w1, &w0, &w1); polyveck_pack_w1(params, sig, &w1); @@ -184,7 +186,7 @@ int crypto_sign_signature_internal(ml_dsa_params *params, poly_challenge(params, &cp, sig); poly_ntt(&cp); - /* Compute z, reject if it reveals secret */ + /* FIPS 204: line 20 Compute z, reject if it reveals secret */ polyvecl_pointwise_poly_montgomery(params, &z, &cp, &s1); polyvecl_invntt_tomont(params, &z); polyvecl_add(params, &z, &z, &y); @@ -193,7 +195,7 @@ int crypto_sign_signature_internal(ml_dsa_params *params, goto rej; } - /* Check that subtracting cs2 does not change high bits of w and low bits + /* FIPS 204: line 21 Check that subtracting cs2 does not change high bits of w and low bits * do not reveal secret information */ polyveck_pointwise_poly_montgomery(params, &h, &cp, &s2); polyveck_invntt_tomont(params, &h); @@ -203,7 +205,7 @@ int crypto_sign_signature_internal(ml_dsa_params *params, goto rej; } - /* Compute hints for w1 */ + /* FIPS 204: line 26 Compute hints for w1 */ polyveck_pointwise_poly_montgomery(params, &h, &cp, &t0); polyveck_invntt_tomont(params, &h); polyveck_reduce(params, &h); @@ -217,7 +219,7 @@ int crypto_sign_signature_internal(ml_dsa_params *params, goto rej; } - /* Write signature */ + /* FIPS 204: line 33 Write signature */ pack_sig(params, sig, sig, &z, &h); *siglen = params->bytes; return 0; @@ -345,7 +347,7 @@ int crypto_sign_verify_internal(ml_dsa_params *params, if(siglen != params->bytes) { return -1; } - + /* FIPS 204: line 1 */ unpack_pk(params, rho, &t1, pk); if(unpack_sig(params, c, &z, &h, sig)) { return -1; @@ -354,7 +356,7 @@ int crypto_sign_verify_internal(ml_dsa_params *params, return -1; } - /* Compute CRH(H(rho, t1), msg) */ + /* FIPS 204: line 7 Compute CRH(H(rho, t1), msg) */ shake256(mu, TRBYTES, pk, params->public_key_bytes); shake256_init(&state); shake256_absorb(&state, mu, TRBYTES); @@ -363,7 +365,7 @@ int crypto_sign_verify_internal(ml_dsa_params *params, shake256_finalize(&state); shake256_squeeze(mu, CRHBYTES, &state); - /* Matrix-vector multiplication; compute Az - c2^dt1 */ + /* FIPS 204: line 9 Matrix-vector multiplication; compute Az - c2^dt1 */ poly_challenge(params, &cp, c); polyvec_matrix_expand(params, mat, rho); @@ -379,12 +381,12 @@ int crypto_sign_verify_internal(ml_dsa_params *params, polyveck_reduce(params, &w1); polyveck_invntt_tomont(params, &w1); - /* Reconstruct w1 */ + /* FIPS 204: line 10 Reconstruct w1 */ polyveck_caddq(params, &w1); polyveck_use_hint(params, &w1, &w1, &h); polyveck_pack_w1(params, buf, &w1); - /* Call random oracle and verify challenge */ + /* FIPS 204: line 12 Call random oracle and verify challenge */ shake256_init(&state); shake256_absorb(&state, mu, CRHBYTES); shake256_absorb(&state, buf, params->k * params->poly_w1_packed_bytes); From dfd1601d19493fedf2602ae2f3c1a2de52173055 Mon Sep 17 00:00:00 2001 From: Jake Massimo Date: Thu, 21 Nov 2024 11:50:23 -0800 Subject: [PATCH 09/12] documentation additions --- .../pqcrystals_dilithium_ref_common/sign.c | 14 +++++++++++--- 1 file changed, 11 insertions(+), 3 deletions(-) diff --git a/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c b/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c index 659ff624f3..fbfccd4bfd 100644 --- a/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c +++ b/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c @@ -141,6 +141,9 @@ int crypto_sign_signature_internal(ml_dsa_params *params, unpack_sk(params, rho, tr, key, &t0, &s1, &s2, sk); /* FIPS 204: line 6 Compute mu = CRH(tr, pre, msg) */ + // This differs from FIPS 204 line 6 that performs mu = CRH(tr, M') and the + // processing of M' in the external function. However, as M' = (pre, msg), + // mu = CRH(tr, M') = CRH(tr, pre, msg). shake256_init(&state); shake256_absorb(&state, tr, TRBYTES); shake256_absorb(&state, pre, prelen); @@ -205,14 +208,14 @@ int crypto_sign_signature_internal(ml_dsa_params *params, goto rej; } - /* FIPS 204: line 26 Compute hints for w1 */ + /* FIPS 204: line 25 */ polyveck_pointwise_poly_montgomery(params, &h, &cp, &t0); polyveck_invntt_tomont(params, &h); polyveck_reduce(params, &h); if(polyveck_chknorm(params, &h, params->gamma2)) { goto rej; } - + /* FIPS 204: line 26 Compute signer's hint */ polyveck_add(params, &w0, &w0, &h); n = polyveck_make_hint(params, &h, &w0, &w1); if(n > params->omega) { @@ -349,6 +352,7 @@ int crypto_sign_verify_internal(ml_dsa_params *params, } /* FIPS 204: line 1 */ unpack_pk(params, rho, &t1, pk); + /* FIPS 204: line 2 */ if(unpack_sig(params, c, &z, &h, sig)) { return -1; } @@ -356,7 +360,11 @@ int crypto_sign_verify_internal(ml_dsa_params *params, return -1; } - /* FIPS 204: line 7 Compute CRH(H(rho, t1), msg) */ + /* FIPS 204: line 7 Compute mu = CRH(H(rho, t1), msg) */ + // This differs from FIPS 204 line 6 that performs tr = H(pk) and line 7 + // mu = CRH(H(tr, M')). This code combines the hashing of pk into the creation + // of mu. Like crypto_sign_signature_internal, the processing of M' is performed + // here, as opposed to within the external function. shake256(mu, TRBYTES, pk, params->public_key_bytes); shake256_init(&state); shake256_absorb(&state, mu, TRBYTES); From 9261040be2880357b8287f33f2364afae7d9b4b6 Mon Sep 17 00:00:00 2001 From: Jake Massimo Date: Thu, 21 Nov 2024 14:21:51 -0800 Subject: [PATCH 10/12] more clarity with fips204 --- .../pqcrystals_dilithium_ref_common/sign.c | 13 ++++++------- 1 file changed, 6 insertions(+), 7 deletions(-) diff --git a/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c b/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c index fbfccd4bfd..4a94247572 100644 --- a/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c +++ b/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c @@ -339,7 +339,7 @@ int crypto_sign_verify_internal(ml_dsa_params *params, unsigned int i; uint8_t buf[DILITHIUM_K_MAX*DILITHIUM_POLYW1_PACKEDBYTES_MAX]; uint8_t rho[SEEDBYTES]; - uint8_t mu[CRHBYTES]; + uint8_t mu[CRHBYTES], tr[CRHBYTES]; uint8_t c[DILITHIUM_C_TILDE_BYTES_MAX]; uint8_t c2[DILITHIUM_C_TILDE_BYTES_MAX]; poly cp; @@ -360,14 +360,13 @@ int crypto_sign_verify_internal(ml_dsa_params *params, return -1; } - /* FIPS 204: line 7 Compute mu = CRH(H(rho, t1), msg) */ - // This differs from FIPS 204 line 6 that performs tr = H(pk) and line 7 - // mu = CRH(H(tr, M')). This code combines the hashing of pk into the creation - // of mu. Like crypto_sign_signature_internal, the processing of M' is performed + /* FIPS 204: line 6 Compute tr */ + shake256(tr, TRBYTES, pk, params->public_key_bytes); + /* FIPS 204: line 7 Compute mu = H(BytesToBits(tr) || M', 64) */ + // Like crypto_sign_signature_internal, the processing of M' is performed // here, as opposed to within the external function. - shake256(mu, TRBYTES, pk, params->public_key_bytes); shake256_init(&state); - shake256_absorb(&state, mu, TRBYTES); + shake256_absorb(&state, tr, TRBYTES); shake256_absorb(&state, pre, prelen); shake256_absorb(&state, m, mlen); shake256_finalize(&state); From ea29c493dfb0b30941c30f555d413d37184a4471 Mon Sep 17 00:00:00 2001 From: Jake Massimo Date: Thu, 21 Nov 2024 14:36:34 -0800 Subject: [PATCH 11/12] chr to tr --- crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c b/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c index 4a94247572..14d98c0014 100644 --- a/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c +++ b/crypto/dilithium/pqcrystals_dilithium_ref_common/sign.c @@ -339,7 +339,8 @@ int crypto_sign_verify_internal(ml_dsa_params *params, unsigned int i; uint8_t buf[DILITHIUM_K_MAX*DILITHIUM_POLYW1_PACKEDBYTES_MAX]; uint8_t rho[SEEDBYTES]; - uint8_t mu[CRHBYTES], tr[CRHBYTES]; + uint8_t mu[CRHBYTES]; + uint8_t tr[TRBYTES]; uint8_t c[DILITHIUM_C_TILDE_BYTES_MAX]; uint8_t c2[DILITHIUM_C_TILDE_BYTES_MAX]; poly cp; From 019e09d33c2134ba41ed6da9f5bc32744d3454bf Mon Sep 17 00:00:00 2001 From: Jake Massimo Date: Thu, 21 Nov 2024 15:38:00 -0800 Subject: [PATCH 12/12] removed test name lookup --- crypto/dilithium/p_pqdsa_test.cc | 139 ++++++++++++++----------------- 1 file changed, 64 insertions(+), 75 deletions(-) diff --git a/crypto/dilithium/p_pqdsa_test.cc b/crypto/dilithium/p_pqdsa_test.cc index e7bf8c6553..5a9fc74219 100644 --- a/crypto/dilithium/p_pqdsa_test.cc +++ b/crypto/dilithium/p_pqdsa_test.cc @@ -354,11 +354,6 @@ CMP_VEC_AND_PTR(vec, pkey->pkey.pqdsa_key->public_key, len) #define CMP_VEC_AND_PKEY_SECRET(vec, pkey, len) \ CMP_VEC_AND_PTR(vec, pkey->pkey.pqdsa_key->private_key, len) -// The PQDSAParameterTest performs testing on each of the named algorithms -// in the list PQDSA_types. This name must exactly match the name provided in -// PQDSATestVector.name for the test vector to run. -std::vector PQDSA_types{"MLDSA65"}; - static const struct PQDSATestVector parameterSet[] = { {"MLDSA65", NID_MLDSA65, 1952, 4032, 3309, "dilithium/kat/MLDSA_65_hedged_pure.txt", mldsa65kPublicKey, mldsa65kPublicKeySPKI, 1974}, }; @@ -369,81 +364,75 @@ INSTANTIATE_TEST_SUITE_P(All, PQDSAParameterTest, testing::ValuesIn(parameterSet [](const testing::TestParamInfo ¶ms) -> std::string { return params.param.name; }); - TEST_P(PQDSAParameterTest, KAT) { std::string kat_filepath = "crypto/"; kat_filepath += GetParam().kat_filename; - // Only peform the KAT if the parameter name matches one in PQDSA_types - std::string name = GetParam().name; - if (std::find(std::begin(PQDSA_types), std::end(PQDSA_types), name) - != std::end(PQDSA_types)) { - - FileTestGTest(kat_filepath.c_str(), [&](FileTest *t) { - std::string count, mlen, smlen; - std::vector xi, rng, seed, msg, pk, sk, sm, ctxstr; - - ASSERT_TRUE(t->GetAttribute(&count, "count")); - ASSERT_TRUE(t->GetBytes(&xi, "xi")); - ASSERT_TRUE(t->GetBytes(&rng, "rng")); - ASSERT_TRUE(t->GetBytes(&seed, "seed")); - ASSERT_TRUE(t->GetBytes(&pk, "pk")); - ASSERT_TRUE(t->GetBytes(&sk, "sk")); - ASSERT_TRUE(t->GetBytes(&msg, "msg")); - ASSERT_TRUE(t->GetAttribute(&mlen, "mlen")); - ASSERT_TRUE(t->GetBytes(&sm, "sm")); - ASSERT_TRUE(t->GetAttribute(&smlen, "smlen")); - ASSERT_TRUE(t->GetBytes(&ctxstr, "ctx")); - - size_t pk_len = GetParam().public_key_len; - size_t sk_len = GetParam().private_key_len; - size_t sig_len = GetParam().signature_len; - - std::vector pub(pk_len); - std::vector priv(sk_len); - std::vector signature(sig_len); - - size_t mlen_int = std::stoi(mlen); - - // The KATs provide the signed message, which is the signature appended with - // the message that was signed. We use the ML-DSA APIs for sign_signature - // and not sign_message, which return the signature without the appended - // message, so we truncate the signed messaged to |sig_len|. - sm.resize(sig_len); - - // Generate key pair from seed xi and assert that public and private keys - // are equal to expected values from KAT - if (name == "MLDSA65") { - ASSERT_TRUE(ml_dsa_65_keypair_internal(pub.data(), priv.data(), xi.data())); - } - EXPECT_EQ(Bytes(pub), Bytes(pk)); - EXPECT_EQ(Bytes(priv), Bytes(sk)); - - // Prepare m_prime = (0 || ctxlen || ctx) - // See both FIPS 204: Algorithm 2 line 10 and FIPS 205: Algorithm 22 line 8 - uint8_t m_prime[257]; - size_t m_prime_len = ctxstr.size() + 2; - m_prime[0] = 0; - m_prime[1] = ctxstr.size(); - ASSERT_TRUE(ctxstr.size() <= 255); - OPENSSL_memcpy(m_prime + 2 , ctxstr.data(), ctxstr.size()); - - // Generate signature by signing |msg|, assert that signature is equal - // to expected value from KAT, then verify signature. - if (name == "MLDSA65") { - ASSERT_TRUE(ml_dsa_65_sign_internal(priv.data(), - signature.data(), &sig_len, + FileTestGTest(kat_filepath.c_str(), [&](FileTest *t) { + std::string count, mlen, smlen; + std::vector xi, rng, seed, msg, pk, sk, sm, ctxstr; + + ASSERT_TRUE(t->GetAttribute(&count, "count")); + ASSERT_TRUE(t->GetBytes(&xi, "xi")); + ASSERT_TRUE(t->GetBytes(&rng, "rng")); + ASSERT_TRUE(t->GetBytes(&seed, "seed")); + ASSERT_TRUE(t->GetBytes(&pk, "pk")); + ASSERT_TRUE(t->GetBytes(&sk, "sk")); + ASSERT_TRUE(t->GetBytes(&msg, "msg")); + ASSERT_TRUE(t->GetAttribute(&mlen, "mlen")); + ASSERT_TRUE(t->GetBytes(&sm, "sm")); + ASSERT_TRUE(t->GetAttribute(&smlen, "smlen")); + ASSERT_TRUE(t->GetBytes(&ctxstr, "ctx")); + + size_t pk_len = GetParam().public_key_len; + size_t sk_len = GetParam().private_key_len; + size_t sig_len = GetParam().signature_len; + + std::vector pub(pk_len); + std::vector priv(sk_len); + std::vector signature(sig_len); + + std::string name = GetParam().name; + size_t mlen_int = std::stoi(mlen); + + // The KATs provide the signed message, which is the signature appended with + // the message that was signed. We use the ML-DSA APIs for sign_signature + // and not sign_message, which return the signature without the appended + // message, so we truncate the signed messaged to |sig_len|. + sm.resize(sig_len); + + // Generate key pair from seed xi and assert that public and private keys + // are equal to expected values from KAT + if (name == "MLDSA65") { + ASSERT_TRUE(ml_dsa_65_keypair_internal(pub.data(), priv.data(), xi.data())); + } + EXPECT_EQ(Bytes(pub), Bytes(pk)); + EXPECT_EQ(Bytes(priv), Bytes(sk)); + + // Prepare m_prime = (0 || ctxlen || ctx) + // See both FIPS 204: Algorithm 2 line 10 and FIPS 205: Algorithm 22 line 8 + uint8_t m_prime[257]; + size_t m_prime_len = ctxstr.size() + 2; + m_prime[0] = 0; + m_prime[1] = ctxstr.size(); + ASSERT_TRUE(ctxstr.size() <= 255); + OPENSSL_memcpy(m_prime + 2 , ctxstr.data(), ctxstr.size()); + + // Generate signature by signing |msg|, assert that signature is equal + // to expected value from KAT, then verify signature. + if (name == "MLDSA65") { + ASSERT_TRUE(ml_dsa_65_sign_internal(priv.data(), + signature.data(), &sig_len, + msg.data(), mlen_int, + m_prime, m_prime_len, + rng.data())); + ASSERT_EQ(Bytes(signature), Bytes(sm)); + ASSERT_TRUE(ml_dsa_65_verify_internal(pub.data(), + signature.data(), sig_len, msg.data(), mlen_int, - m_prime, m_prime_len, - rng.data())); - ASSERT_EQ(Bytes(signature), Bytes(sm)); - ASSERT_TRUE(ml_dsa_65_verify_internal(pub.data(), - signature.data(), sig_len, - msg.data(), mlen_int, - m_prime, m_prime_len)); - } - }); - } + m_prime, m_prime_len)); + } + }); } TEST_P(PQDSAParameterTest, KeyGen) {