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- /*
- * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
- *
- * Licensed under the OpenSSL license (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 <stdio.h>
- #include "internal/cryptlib.h"
- #include "crypto/bn.h"
- #include <openssl/bn.h>
- #include <openssl/sha.h>
- #include "dsa_local.h"
- #include <openssl/asn1.h>
- static DSA_SIG *dsa_do_sign(const unsigned char *dgst, int dlen, DSA *dsa);
- static int dsa_sign_setup_no_digest(DSA *dsa, BN_CTX *ctx_in, BIGNUM **kinvp,
- BIGNUM **rp);
- static int dsa_sign_setup(DSA *dsa, BN_CTX *ctx_in, BIGNUM **kinvp,
- BIGNUM **rp, const unsigned char *dgst, int dlen);
- static int dsa_do_verify(const unsigned char *dgst, int dgst_len,
- DSA_SIG *sig, DSA *dsa);
- static int dsa_init(DSA *dsa);
- static int dsa_finish(DSA *dsa);
- static BIGNUM *dsa_mod_inverse_fermat(const BIGNUM *k, const BIGNUM *q,
- BN_CTX *ctx);
- static DSA_METHOD openssl_dsa_meth = {
- "OpenSSL DSA method",
- dsa_do_sign,
- dsa_sign_setup_no_digest,
- dsa_do_verify,
- NULL, /* dsa_mod_exp, */
- NULL, /* dsa_bn_mod_exp, */
- dsa_init,
- dsa_finish,
- DSA_FLAG_FIPS_METHOD,
- NULL,
- NULL,
- NULL
- };
- static const DSA_METHOD *default_DSA_method = &openssl_dsa_meth;
- void DSA_set_default_method(const DSA_METHOD *meth)
- {
- default_DSA_method = meth;
- }
- const DSA_METHOD *DSA_get_default_method(void)
- {
- return default_DSA_method;
- }
- const DSA_METHOD *DSA_OpenSSL(void)
- {
- return &openssl_dsa_meth;
- }
- static DSA_SIG *dsa_do_sign(const unsigned char *dgst, int dlen, DSA *dsa)
- {
- BIGNUM *kinv = NULL;
- BIGNUM *m, *blind, *blindm, *tmp;
- BN_CTX *ctx = NULL;
- int reason = ERR_R_BN_LIB;
- DSA_SIG *ret = NULL;
- int rv = 0;
- if (dsa->p == NULL || dsa->q == NULL || dsa->g == NULL) {
- reason = DSA_R_MISSING_PARAMETERS;
- goto err;
- }
- if (dsa->priv_key == NULL) {
- reason = DSA_R_MISSING_PRIVATE_KEY;
- goto err;
- }
- ret = DSA_SIG_new();
- if (ret == NULL)
- goto err;
- ret->r = BN_new();
- ret->s = BN_new();
- if (ret->r == NULL || ret->s == NULL)
- goto err;
- ctx = BN_CTX_new();
- if (ctx == NULL)
- goto err;
- m = BN_CTX_get(ctx);
- blind = BN_CTX_get(ctx);
- blindm = BN_CTX_get(ctx);
- tmp = BN_CTX_get(ctx);
- if (tmp == NULL)
- goto err;
- redo:
- if (!dsa_sign_setup(dsa, ctx, &kinv, &ret->r, dgst, dlen))
- goto err;
- if (dlen > BN_num_bytes(dsa->q))
- /*
- * if the digest length is greater than the size of q use the
- * BN_num_bits(dsa->q) leftmost bits of the digest, see fips 186-3,
- * 4.2
- */
- dlen = BN_num_bytes(dsa->q);
- if (BN_bin2bn(dgst, dlen, m) == NULL)
- goto err;
- /*
- * The normal signature calculation is:
- *
- * s := k^-1 * (m + r * priv_key) mod q
- *
- * We will blind this to protect against side channel attacks
- *
- * s := blind^-1 * k^-1 * (blind * m + blind * r * priv_key) mod q
- */
- /* Generate a blinding value */
- do {
- if (!BN_priv_rand(blind, BN_num_bits(dsa->q) - 1,
- BN_RAND_TOP_ANY, BN_RAND_BOTTOM_ANY))
- goto err;
- } while (BN_is_zero(blind));
- BN_set_flags(blind, BN_FLG_CONSTTIME);
- BN_set_flags(blindm, BN_FLG_CONSTTIME);
- BN_set_flags(tmp, BN_FLG_CONSTTIME);
- /* tmp := blind * priv_key * r mod q */
- if (!BN_mod_mul(tmp, blind, dsa->priv_key, dsa->q, ctx))
- goto err;
- if (!BN_mod_mul(tmp, tmp, ret->r, dsa->q, ctx))
- goto err;
- /* blindm := blind * m mod q */
- if (!BN_mod_mul(blindm, blind, m, dsa->q, ctx))
- goto err;
- /* s : = (blind * priv_key * r) + (blind * m) mod q */
- if (!BN_mod_add_quick(ret->s, tmp, blindm, dsa->q))
- goto err;
- /* s := s * k^-1 mod q */
- if (!BN_mod_mul(ret->s, ret->s, kinv, dsa->q, ctx))
- goto err;
- /* s:= s * blind^-1 mod q */
- if (BN_mod_inverse(blind, blind, dsa->q, ctx) == NULL)
- goto err;
- if (!BN_mod_mul(ret->s, ret->s, blind, dsa->q, ctx))
- goto err;
- /*
- * Redo if r or s is zero as required by FIPS 186-3: this is very
- * unlikely.
- */
- if (BN_is_zero(ret->r) || BN_is_zero(ret->s))
- goto redo;
- rv = 1;
- err:
- if (rv == 0) {
- DSAerr(DSA_F_DSA_DO_SIGN, reason);
- DSA_SIG_free(ret);
- ret = NULL;
- }
- BN_CTX_free(ctx);
- BN_clear_free(kinv);
- return ret;
- }
- static int dsa_sign_setup_no_digest(DSA *dsa, BN_CTX *ctx_in,
- BIGNUM **kinvp, BIGNUM **rp)
- {
- return dsa_sign_setup(dsa, ctx_in, kinvp, rp, NULL, 0);
- }
- static int dsa_sign_setup(DSA *dsa, BN_CTX *ctx_in,
- BIGNUM **kinvp, BIGNUM **rp,
- const unsigned char *dgst, int dlen)
- {
- BN_CTX *ctx = NULL;
- BIGNUM *k, *kinv = NULL, *r = *rp;
- BIGNUM *l;
- int ret = 0;
- int q_bits, q_words;
- if (!dsa->p || !dsa->q || !dsa->g) {
- DSAerr(DSA_F_DSA_SIGN_SETUP, DSA_R_MISSING_PARAMETERS);
- return 0;
- }
- /* Reject obviously invalid parameters */
- if (BN_is_zero(dsa->p) || BN_is_zero(dsa->q) || BN_is_zero(dsa->g)) {
- DSAerr(DSA_F_DSA_SIGN_SETUP, DSA_R_INVALID_PARAMETERS);
- return 0;
- }
- if (dsa->priv_key == NULL) {
- DSAerr(DSA_F_DSA_SIGN_SETUP, DSA_R_MISSING_PRIVATE_KEY);
- return 0;
- }
- k = BN_new();
- l = BN_new();
- if (k == NULL || l == NULL)
- goto err;
- if (ctx_in == NULL) {
- if ((ctx = BN_CTX_new()) == NULL)
- goto err;
- } else
- ctx = ctx_in;
- /* Preallocate space */
- q_bits = BN_num_bits(dsa->q);
- q_words = bn_get_top(dsa->q);
- if (!bn_wexpand(k, q_words + 2)
- || !bn_wexpand(l, q_words + 2))
- goto err;
- /* Get random k */
- do {
- if (dgst != NULL) {
- /*
- * We calculate k from SHA512(private_key + H(message) + random).
- * This protects the private key from a weak PRNG.
- */
- if (!BN_generate_dsa_nonce(k, dsa->q, dsa->priv_key, dgst,
- dlen, ctx))
- goto err;
- } else if (!BN_priv_rand_range(k, dsa->q))
- goto err;
- } while (BN_is_zero(k));
- BN_set_flags(k, BN_FLG_CONSTTIME);
- BN_set_flags(l, BN_FLG_CONSTTIME);
- if (dsa->flags & DSA_FLAG_CACHE_MONT_P) {
- if (!BN_MONT_CTX_set_locked(&dsa->method_mont_p,
- dsa->lock, dsa->p, ctx))
- goto err;
- }
- /* Compute r = (g^k mod p) mod q */
- /*
- * We do not want timing information to leak the length of k, so we
- * compute G^k using an equivalent scalar of fixed bit-length.
- *
- * We unconditionally perform both of these additions to prevent a
- * small timing information leakage. We then choose the sum that is
- * one bit longer than the modulus.
- *
- * There are some concerns about the efficacy of doing this. More
- * specifically refer to the discussion starting with:
- * https://github.com/openssl/openssl/pull/7486#discussion_r228323705
- * The fix is to rework BN so these gymnastics aren't required.
- */
- if (!BN_add(l, k, dsa->q)
- || !BN_add(k, l, dsa->q))
- goto err;
- BN_consttime_swap(BN_is_bit_set(l, q_bits), k, l, q_words + 2);
- if ((dsa)->meth->bn_mod_exp != NULL) {
- if (!dsa->meth->bn_mod_exp(dsa, r, dsa->g, k, dsa->p, ctx,
- dsa->method_mont_p))
- goto err;
- } else {
- if (!BN_mod_exp_mont(r, dsa->g, k, dsa->p, ctx, dsa->method_mont_p))
- goto err;
- }
- if (!BN_mod(r, r, dsa->q, ctx))
- goto err;
- /* Compute part of 's = inv(k) (m + xr) mod q' */
- if ((kinv = dsa_mod_inverse_fermat(k, dsa->q, ctx)) == NULL)
- goto err;
- BN_clear_free(*kinvp);
- *kinvp = kinv;
- kinv = NULL;
- ret = 1;
- err:
- if (!ret)
- DSAerr(DSA_F_DSA_SIGN_SETUP, ERR_R_BN_LIB);
- if (ctx != ctx_in)
- BN_CTX_free(ctx);
- BN_clear_free(k);
- BN_clear_free(l);
- return ret;
- }
- static int dsa_do_verify(const unsigned char *dgst, int dgst_len,
- DSA_SIG *sig, DSA *dsa)
- {
- BN_CTX *ctx;
- BIGNUM *u1, *u2, *t1;
- BN_MONT_CTX *mont = NULL;
- const BIGNUM *r, *s;
- int ret = -1, i;
- if (!dsa->p || !dsa->q || !dsa->g) {
- DSAerr(DSA_F_DSA_DO_VERIFY, DSA_R_MISSING_PARAMETERS);
- return -1;
- }
- i = BN_num_bits(dsa->q);
- /* fips 186-3 allows only different sizes for q */
- if (i != 160 && i != 224 && i != 256) {
- DSAerr(DSA_F_DSA_DO_VERIFY, DSA_R_BAD_Q_VALUE);
- return -1;
- }
- if (BN_num_bits(dsa->p) > OPENSSL_DSA_MAX_MODULUS_BITS) {
- DSAerr(DSA_F_DSA_DO_VERIFY, DSA_R_MODULUS_TOO_LARGE);
- return -1;
- }
- u1 = BN_new();
- u2 = BN_new();
- t1 = BN_new();
- ctx = BN_CTX_new();
- if (u1 == NULL || u2 == NULL || t1 == NULL || ctx == NULL)
- goto err;
- DSA_SIG_get0(sig, &r, &s);
- if (BN_is_zero(r) || BN_is_negative(r) ||
- BN_ucmp(r, dsa->q) >= 0) {
- ret = 0;
- goto err;
- }
- if (BN_is_zero(s) || BN_is_negative(s) ||
- BN_ucmp(s, dsa->q) >= 0) {
- ret = 0;
- goto err;
- }
- /*
- * Calculate W = inv(S) mod Q save W in u2
- */
- if ((BN_mod_inverse(u2, s, dsa->q, ctx)) == NULL)
- goto err;
- /* save M in u1 */
- if (dgst_len > (i >> 3))
- /*
- * if the digest length is greater than the size of q use the
- * BN_num_bits(dsa->q) leftmost bits of the digest, see fips 186-3,
- * 4.2
- */
- dgst_len = (i >> 3);
- if (BN_bin2bn(dgst, dgst_len, u1) == NULL)
- goto err;
- /* u1 = M * w mod q */
- if (!BN_mod_mul(u1, u1, u2, dsa->q, ctx))
- goto err;
- /* u2 = r * w mod q */
- if (!BN_mod_mul(u2, r, u2, dsa->q, ctx))
- goto err;
- if (dsa->flags & DSA_FLAG_CACHE_MONT_P) {
- mont = BN_MONT_CTX_set_locked(&dsa->method_mont_p,
- dsa->lock, dsa->p, ctx);
- if (!mont)
- goto err;
- }
- if (dsa->meth->dsa_mod_exp != NULL) {
- if (!dsa->meth->dsa_mod_exp(dsa, t1, dsa->g, u1, dsa->pub_key, u2,
- dsa->p, ctx, mont))
- goto err;
- } else {
- if (!BN_mod_exp2_mont(t1, dsa->g, u1, dsa->pub_key, u2, dsa->p, ctx,
- mont))
- goto err;
- }
- /* let u1 = u1 mod q */
- if (!BN_mod(u1, t1, dsa->q, ctx))
- goto err;
- /*
- * V is now in u1. If the signature is correct, it will be equal to R.
- */
- ret = (BN_ucmp(u1, r) == 0);
- err:
- if (ret < 0)
- DSAerr(DSA_F_DSA_DO_VERIFY, ERR_R_BN_LIB);
- BN_CTX_free(ctx);
- BN_free(u1);
- BN_free(u2);
- BN_free(t1);
- return ret;
- }
- static int dsa_init(DSA *dsa)
- {
- dsa->flags |= DSA_FLAG_CACHE_MONT_P;
- return 1;
- }
- static int dsa_finish(DSA *dsa)
- {
- BN_MONT_CTX_free(dsa->method_mont_p);
- return 1;
- }
- /*
- * Compute the inverse of k modulo q.
- * Since q is prime, Fermat's Little Theorem applies, which reduces this to
- * mod-exp operation. Both the exponent and modulus are public information
- * so a mod-exp that doesn't leak the base is sufficient. A newly allocated
- * BIGNUM is returned which the caller must free.
- */
- static BIGNUM *dsa_mod_inverse_fermat(const BIGNUM *k, const BIGNUM *q,
- BN_CTX *ctx)
- {
- BIGNUM *res = NULL;
- BIGNUM *r, *e;
- if ((r = BN_new()) == NULL)
- return NULL;
- BN_CTX_start(ctx);
- if ((e = BN_CTX_get(ctx)) != NULL
- && BN_set_word(r, 2)
- && BN_sub(e, q, r)
- && BN_mod_exp_mont(r, k, e, q, ctx, NULL))
- res = r;
- else
- BN_free(r);
- BN_CTX_end(ctx);
- return res;
- }
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