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- /*
- * Copyright 2024-2025 The OpenSSL Project Authors. All Rights Reserved.
- *
- * Licensed under the Apache License 2.0 (the "License"). You may not use
- * this file except in compliance with the License. You can obtain a copy
- * in the file LICENSE in the source distribution or at
- * https://www.openssl.org/source/license.html
- */
- #include <openssl/core_dispatch.h>
- #include <openssl/core_names.h>
- #include <openssl/params.h>
- #include <openssl/rand.h>
- #include "ml_dsa_local.h"
- #include "ml_dsa_key.h"
- #include "ml_dsa_matrix.h"
- #include "ml_dsa_sign.h"
- #include "ml_dsa_hash.h"
- #define ML_DSA_MAX_LAMBDA 256 /* bit strength for ML-DSA-87 */
- /*
- * @brief Initialize a Signature object by pointing all of its objects to
- * preallocated blocks. The values passed for hint, z and
- * c_tilde values are not owned/freed by the |sig| object.
- *
- * @param sig The ML_DSA_SIG to initialize.
- * @param hint A preallocated array of |k| polynomial blocks
- * @param k The number of |hint| polynomials
- * @param z A preallocated array of |l| polynomial blocks
- * @param l The number of |z| polynomials
- * @param c_tilde A preallocated buffer
- * @param c_tilde_len The size of |c_tilde|
- */
- static void signature_init(ML_DSA_SIG *sig,
- POLY *hint, uint32_t k, POLY *z, uint32_t l,
- uint8_t *c_tilde, size_t c_tilde_len)
- {
- vector_init(&sig->z, z, l);
- vector_init(&sig->hint, hint, k);
- sig->c_tilde = c_tilde;
- sig->c_tilde_len = c_tilde_len;
- }
- /*
- * FIPS 204, Algorithm 7, ML-DSA.Sign_internal()
- * @returns 1 on success and 0 on failure.
- */
- static int ml_dsa_sign_internal(const ML_DSA_KEY *priv, int msg_is_mu,
- const uint8_t *encoded_msg,
- size_t encoded_msg_len,
- const uint8_t *rnd, size_t rnd_len,
- uint8_t *out_sig)
- {
- int ret = 0;
- const ML_DSA_PARAMS *params = priv->params;
- EVP_MD_CTX *md_ctx = NULL;
- uint32_t k = params->k, l = params->l;
- uint32_t gamma1 = params->gamma1, gamma2 = params->gamma2;
- uint8_t *alloc = NULL, *w1_encoded;
- size_t alloc_len, w1_encoded_len;
- size_t num_polys_sig_k = 2 * k;
- size_t num_polys_k = 5 * k;
- size_t num_polys_l = 3 * l;
- size_t num_polys_k_by_l = k * l;
- POLY *polys = NULL, *p, *c_ntt;
- VECTOR s1_ntt, s2_ntt, t0_ntt, w, w1, cs1, cs2, y;
- MATRIX a_ntt;
- ML_DSA_SIG sig;
- uint8_t mu[ML_DSA_MU_BYTES], *mu_ptr = mu;
- const size_t mu_len = sizeof(mu);
- uint8_t rho_prime[ML_DSA_RHO_PRIME_BYTES];
- uint8_t c_tilde[ML_DSA_MAX_LAMBDA / 4];
- size_t c_tilde_len = params->bit_strength >> 2;
- size_t kappa;
- /*
- * Allocate a single blob for most of the variable size temporary variables.
- * Mostly used for VECTOR POLYNOMIALS (every POLY is 1K).
- */
- w1_encoded_len = k * (gamma2 == ML_DSA_GAMMA2_Q_MINUS1_DIV88 ? 192 : 128);
- alloc_len = w1_encoded_len
- + sizeof(*polys) * (1 + num_polys_k + num_polys_l
- + num_polys_k_by_l + num_polys_sig_k);
- alloc = OPENSSL_malloc(alloc_len);
- if (alloc == NULL)
- return 0;
- md_ctx = EVP_MD_CTX_new();
- if (md_ctx == NULL)
- goto err;
- w1_encoded = alloc;
- /* Init the temp vectors to point to the allocated polys blob */
- p = (POLY *)(w1_encoded + w1_encoded_len);
- c_ntt = p++;
- matrix_init(&a_ntt, p, k, l);
- p += num_polys_k_by_l;
- vector_init(&s2_ntt, p, k);
- vector_init(&t0_ntt, s2_ntt.poly + k, k);
- vector_init(&w, t0_ntt.poly + k, k);
- vector_init(&w1, w.poly + k, k);
- vector_init(&cs2, w1.poly + k, k);
- p += num_polys_k;
- vector_init(&s1_ntt, p, l);
- vector_init(&y, p + l, l);
- vector_init(&cs1, p + 2 * l, l);
- p += num_polys_l;
- signature_init(&sig, p, k, p + k, l, c_tilde, c_tilde_len);
- /* End of the allocated blob setup */
- if (!matrix_expand_A(md_ctx, priv->shake128_md, priv->rho, &a_ntt))
- goto err;
- if (msg_is_mu) {
- if (encoded_msg_len != mu_len)
- goto err;
- mu_ptr = (uint8_t *)encoded_msg;
- } else {
- if (!shake_xof_2(md_ctx, priv->shake256_md, priv->tr, sizeof(priv->tr),
- encoded_msg, encoded_msg_len, mu_ptr, mu_len))
- goto err;
- }
- if (!shake_xof_3(md_ctx, priv->shake256_md, priv->K, sizeof(priv->K),
- rnd, rnd_len, mu_ptr, mu_len,
- rho_prime, sizeof(rho_prime)))
- goto err;
- vector_copy(&s1_ntt, &priv->s1);
- vector_ntt(&s1_ntt);
- vector_copy(&s2_ntt, &priv->s2);
- vector_ntt(&s2_ntt);
- vector_copy(&t0_ntt, &priv->t0);
- vector_ntt(&t0_ntt);
- /*
- * kappa must not exceed 2^16. But the probability of it
- * exceeding even 1000 iterations is vanishingly small.
- */
- for (kappa = 0; ; kappa += l) {
- VECTOR *y_ntt = &cs1;
- VECTOR *r0 = &w1;
- VECTOR *ct0 = &w1;
- uint32_t z_max, r0_max, ct0_max, h_ones;
- vector_expand_mask(&y, rho_prime, sizeof(rho_prime), kappa,
- gamma1, md_ctx, priv->shake256_md);
- vector_copy(y_ntt, &y);
- vector_ntt(y_ntt);
- matrix_mult_vector(&a_ntt, y_ntt, &w);
- vector_ntt_inverse(&w);
- vector_high_bits(&w, gamma2, &w1);
- ossl_ml_dsa_w1_encode(&w1, gamma2, w1_encoded, w1_encoded_len);
- if (!shake_xof_2(md_ctx, priv->shake256_md, mu_ptr, mu_len,
- w1_encoded, w1_encoded_len, c_tilde, c_tilde_len))
- break;
- if (!poly_sample_in_ball_ntt(c_ntt, c_tilde, c_tilde_len,
- md_ctx, priv->shake256_md, params->tau))
- break;
- vector_mult_scalar(&s1_ntt, c_ntt, &cs1);
- vector_ntt_inverse(&cs1);
- vector_mult_scalar(&s2_ntt, c_ntt, &cs2);
- vector_ntt_inverse(&cs2);
- vector_add(&y, &cs1, &sig.z);
- /* r0 = lowbits(w - cs2) */
- vector_sub(&w, &cs2, r0);
- vector_low_bits(r0, gamma2, r0);
- /*
- * Leaking that the signature is rejected is fine as the next attempt at a
- * signature will be (indistinguishable from) independent of this one.
- */
- z_max = vector_max(&sig.z);
- r0_max = vector_max_signed(r0);
- if (value_barrier_32(constant_time_ge(z_max, gamma1 - params->beta)
- | constant_time_ge(r0_max, gamma2 - params->beta)))
- continue;
- vector_mult_scalar(&t0_ntt, c_ntt, ct0);
- vector_ntt_inverse(ct0);
- vector_make_hint(ct0, &cs2, &w, gamma2, &sig.hint);
- ct0_max = vector_max(ct0);
- h_ones = vector_count_ones(&sig.hint);
- /* Same reasoning applies to the leak as above */
- if (value_barrier_32(constant_time_ge(ct0_max, gamma2)
- | constant_time_lt(params->omega, h_ones)))
- continue;
- ret = ossl_ml_dsa_sig_encode(&sig, params, out_sig);
- break;
- }
- err:
- EVP_MD_CTX_free(md_ctx);
- OPENSSL_clear_free(alloc, alloc_len);
- OPENSSL_cleanse(rho_prime, sizeof(rho_prime));
- return ret;
- }
- /*
- * See FIPS 204, Algorithm 8, ML-DSA.Verify_internal().
- */
- static int ml_dsa_verify_internal(const ML_DSA_KEY *pub, int msg_is_mu,
- const uint8_t *msg_enc, size_t msg_enc_len,
- const uint8_t *sig_enc, size_t sig_enc_len)
- {
- int ret = 0;
- uint8_t *alloc = NULL, *w1_encoded;
- POLY *polys = NULL, *p, *c_ntt;
- MATRIX a_ntt;
- VECTOR az_ntt, ct1_ntt, *z_ntt, *w1, *w_approx;
- ML_DSA_SIG sig;
- const ML_DSA_PARAMS *params = pub->params;
- uint32_t k = pub->params->k;
- uint32_t l = pub->params->l;
- uint32_t gamma2 = params->gamma2;
- size_t w1_encoded_len;
- size_t num_polys_sig = k + l;
- size_t num_polys_k = 2 * k;
- size_t num_polys_l = 1 * l;
- size_t num_polys_k_by_l = k * l;
- uint8_t mu[ML_DSA_MU_BYTES], *mu_ptr = mu;
- const size_t mu_len = sizeof(mu);
- uint8_t c_tilde[ML_DSA_MAX_LAMBDA / 4];
- uint8_t c_tilde_sig[ML_DSA_MAX_LAMBDA / 4];
- EVP_MD_CTX *md_ctx = NULL;
- size_t c_tilde_len = params->bit_strength >> 2;
- uint32_t z_max;
- /* Allocate space for all the POLYNOMIALS used by temporary VECTORS */
- w1_encoded_len = k * (gamma2 == ML_DSA_GAMMA2_Q_MINUS1_DIV88 ? 192 : 128);
- alloc = OPENSSL_malloc(w1_encoded_len
- + sizeof(*polys) * (1 + num_polys_k
- + num_polys_l
- + num_polys_k_by_l
- + num_polys_sig));
- if (alloc == NULL)
- return 0;
- md_ctx = EVP_MD_CTX_new();
- if (md_ctx == NULL)
- goto err;
- w1_encoded = alloc;
- /* Init the temp vectors to point to the allocated polys blob */
- p = (POLY *)(w1_encoded + w1_encoded_len);
- c_ntt = p++;
- matrix_init(&a_ntt, p, k, l);
- p += num_polys_k_by_l;
- signature_init(&sig, p, k, p + k, l, c_tilde_sig, c_tilde_len);
- p += num_polys_sig;
- vector_init(&az_ntt, p, k);
- vector_init(&ct1_ntt, p + k, k);
- if (!ossl_ml_dsa_sig_decode(&sig, sig_enc, sig_enc_len, pub->params)
- || !matrix_expand_A(md_ctx, pub->shake128_md, pub->rho, &a_ntt))
- goto err;
- if (msg_is_mu) {
- if (msg_enc_len != mu_len)
- goto err;
- mu_ptr = (uint8_t *)msg_enc;
- } else {
- if (!shake_xof_2(md_ctx, pub->shake256_md, pub->tr, sizeof(pub->tr),
- msg_enc, msg_enc_len, mu_ptr, mu_len))
- goto err;
- }
- /* Compute verifiers challenge c_ntt = NTT(SampleInBall(c_tilde) */
- if (!poly_sample_in_ball_ntt(c_ntt, c_tilde_sig, c_tilde_len,
- md_ctx, pub->shake256_md, params->tau))
- goto err;
- /* ct1_ntt = NTT(c) * NTT(t1 * 2^d) */
- vector_scale_power2_round_ntt(&pub->t1, &ct1_ntt);
- vector_mult_scalar(&ct1_ntt, c_ntt, &ct1_ntt);
- /* compute z_max early in order to reuse sig.z */
- z_max = vector_max(&sig.z);
- /* w_approx = NTT_inverse(A * NTT(z) - ct1_ntt) */
- z_ntt = &sig.z;
- vector_ntt(z_ntt);
- matrix_mult_vector(&a_ntt, z_ntt, &az_ntt);
- w_approx = &az_ntt;
- vector_sub(&az_ntt, &ct1_ntt, w_approx);
- vector_ntt_inverse(w_approx);
- /* compute w1_encoded */
- w1 = w_approx;
- vector_use_hint(&sig.hint, w_approx, gamma2, w1);
- ossl_ml_dsa_w1_encode(w1, gamma2, w1_encoded, w1_encoded_len);
- if (!shake_xof_3(md_ctx, pub->shake256_md, mu_ptr, mu_len,
- w1_encoded, w1_encoded_len, NULL, 0, c_tilde, c_tilde_len))
- goto err;
- ret = (z_max < (uint32_t)(params->gamma1 - params->beta))
- && memcmp(c_tilde, sig.c_tilde, c_tilde_len) == 0;
- err:
- OPENSSL_free(alloc);
- EVP_MD_CTX_free(md_ctx);
- return ret;
- }
- /**
- * @brief Encode a message
- * See FIPS 204 Algorithm 2 Step 10 (and algorithm 3 Step 5).
- *
- * ML_DSA pure signatures are encoded as M' = 00 || ctx_len || ctx || msg
- * Where ctx is the empty string by default and ctx_len <= 255.
- *
- * Note this code could be shared with SLH_DSA
- *
- * @param msg A message to encode
- * @param msg_len The size of |msg|
- * @param ctx An optional context to add to the message encoding.
- * @param ctx_len The size of |ctx|. It must be in the range 0..255
- * @param encode Use the Pure signature encoding if this is 1, and dont encode
- * if this value is 0.
- * @param tmp A small buffer that may be used if the message is small.
- * @param tmp_len The size of |tmp|
- * @param out_len The size of the returned encoded buffer.
- * @returns A buffer containing the encoded message. If the passed in
- * |tmp| buffer is big enough to hold the encoded message then it returns |tmp|
- * otherwise it allocates memory which must be freed by the caller. If |encode|
- * is 0 then it returns |msg|. NULL is returned if there is a failure.
- */
- static uint8_t *msg_encode(const uint8_t *msg, size_t msg_len,
- const uint8_t *ctx, size_t ctx_len, int encode,
- uint8_t *tmp, size_t tmp_len, size_t *out_len)
- {
- uint8_t *encoded = NULL;
- size_t encoded_len;
- if (encode == 0) {
- /* Raw message */
- *out_len = msg_len;
- return (uint8_t *)msg;
- }
- if (ctx_len > ML_DSA_MAX_CONTEXT_STRING_LEN)
- return NULL;
- /* Pure encoding */
- encoded_len = 1 + 1 + ctx_len + msg_len;
- *out_len = encoded_len;
- if (encoded_len <= tmp_len) {
- encoded = tmp;
- } else {
- encoded = OPENSSL_malloc(encoded_len);
- if (encoded == NULL)
- return NULL;
- }
- encoded[0] = 0;
- encoded[1] = (uint8_t)ctx_len;
- memcpy(&encoded[2], ctx, ctx_len);
- memcpy(&encoded[2 + ctx_len], msg, msg_len);
- return encoded;
- }
- /**
- * See FIPS 204 Section 5.2 Algorithm 2 ML-DSA.Sign()
- *
- * @returns 1 on success, or 0 on error.
- */
- int ossl_ml_dsa_sign(const ML_DSA_KEY *priv, int msg_is_mu,
- const uint8_t *msg, size_t msg_len,
- const uint8_t *context, size_t context_len,
- const uint8_t *rand, size_t rand_len, int encode,
- unsigned char *sig, size_t *sig_len, size_t sig_size)
- {
- int ret = 1;
- uint8_t m_tmp[1024], *m = m_tmp, *alloced_m = NULL;
- size_t m_len = 0;
- if (ossl_ml_dsa_key_get_priv(priv) == NULL)
- return 0;
- if (sig != NULL) {
- if (sig_size < priv->params->sig_len)
- return 0;
- if (msg_is_mu) {
- m = (uint8_t *)msg;
- m_len = msg_len;
- } else {
- m = msg_encode(msg, msg_len, context, context_len, encode,
- m_tmp, sizeof(m_tmp), &m_len);
- if (m == NULL)
- return 0;
- if (m != msg && m != m_tmp)
- alloced_m = m;
- }
- ret = ml_dsa_sign_internal(priv, msg_is_mu, m, m_len, rand, rand_len, sig);
- OPENSSL_free(alloced_m);
- }
- if (sig_len != NULL)
- *sig_len = priv->params->sig_len;
- return ret;
- }
- /**
- * See FIPS 203 Section 5.3 Algorithm 3 ML-DSA.Verify()
- * @returns 1 on success, or 0 on error.
- */
- int ossl_ml_dsa_verify(const ML_DSA_KEY *pub, int msg_is_mu,
- const uint8_t *msg, size_t msg_len,
- const uint8_t *context, size_t context_len, int encode,
- const uint8_t *sig, size_t sig_len)
- {
- uint8_t *m, *alloced_m = NULL;
- size_t m_len;
- uint8_t m_tmp[1024];
- int ret = 0;
- if (ossl_ml_dsa_key_get_pub(pub) == NULL)
- return 0;
- if (msg_is_mu) {
- m = (uint8_t *)msg;
- m_len = msg_len;
- } else {
- m = msg_encode(msg, msg_len, context, context_len, encode,
- m_tmp, sizeof(m_tmp), &m_len);
- if (m == NULL)
- return 0;
- if (m != msg && m != m_tmp)
- alloced_m = m;
- }
- ret = ml_dsa_verify_internal(pub, msg_is_mu, m, m_len, sig, sig_len);
- OPENSSL_free(alloced_m);
- return ret;
- }
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