/* crypto/ecdsa/ecs_ossl.c */ /* * Written by Nils Larsch for the OpenSSL project */ /* ==================================================================== * Copyright (c) 1998-2004 The OpenSSL Project. All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in * the documentation and/or other materials provided with the * distribution. * * 3. All advertising materials mentioning features or use of this * software must display the following acknowledgment: * "This product includes software developed by the OpenSSL Project * for use in the OpenSSL Toolkit. (http://www.OpenSSL.org/)" * * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to * endorse or promote products derived from this software without * prior written permission. For written permission, please contact * openssl-core@OpenSSL.org. * * 5. Products derived from this software may not be called "OpenSSL" * nor may "OpenSSL" appear in their names without prior written * permission of the OpenSSL Project. * * 6. Redistributions of any form whatsoever must retain the following * acknowledgment: * "This product includes software developed by the OpenSSL Project * for use in the OpenSSL Toolkit (http://www.OpenSSL.org/)" * * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED * OF THE POSSIBILITY OF SUCH DAMAGE. * ==================================================================== * * This product includes cryptographic software written by Eric Young * (eay@cryptsoft.com). This product includes software written by Tim * Hudson (tjh@cryptsoft.com). * */ #include "ecs_locl.h" #include #include #include #include static ECDSA_SIG *ecdsa_do_sign(const unsigned char *dgst, int dlen, const BIGNUM *, const BIGNUM *, EC_KEY *eckey); static int ecdsa_sign_setup_no_digest(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp, BIGNUM **rp); static int ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp, BIGNUM **rp, const unsigned char *dgst, int dlen); static int ecdsa_do_verify(const unsigned char *dgst, int dgst_len, const ECDSA_SIG *sig, EC_KEY *eckey); static ECDSA_METHOD openssl_ecdsa_meth = { "OpenSSL ECDSA method", ecdsa_do_sign, ecdsa_sign_setup_no_digest, ecdsa_do_verify, #if 0 NULL, /* init */ NULL, /* finish */ #endif ECDSA_FLAG_FIPS_METHOD, /* flags */ NULL /* app_data */ }; const ECDSA_METHOD *ECDSA_OpenSSL(void) { return &openssl_ecdsa_meth; } static int ecdsa_sign_setup_no_digest(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp, BIGNUM **rp) { return ecdsa_sign_setup(eckey, ctx_in, kinvp, rp, NULL, 0); } static int ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp, BIGNUM **rp, const unsigned char *dgst, int dlen) { BN_CTX *ctx = NULL; BIGNUM *k = NULL, *r = NULL, *order = NULL, *X = NULL; EC_POINT *tmp_point=NULL; const EC_GROUP *group; int ret = 0; if (eckey == NULL || (group = EC_KEY_get0_group(eckey)) == NULL) { ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_PASSED_NULL_PARAMETER); return 0; } if (ctx_in == NULL) { if ((ctx = BN_CTX_new()) == NULL) { ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP,ERR_R_MALLOC_FAILURE); return 0; } } else ctx = ctx_in; k = BN_new(); /* this value is later returned in *kinvp */ r = BN_new(); /* this value is later returned in *rp */ order = BN_new(); X = BN_new(); if (!k || !r || !order || !X) { ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_MALLOC_FAILURE); goto err; } if ((tmp_point = EC_POINT_new(group)) == NULL) { ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB); goto err; } if (!EC_GROUP_get_order(group, order, ctx)) { ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB); goto err; } do { /* get random k */ do #ifndef OPENSSL_NO_SHA512 if (dgst != NULL) { if (!BN_generate_dsa_nonce(k, order, EC_KEY_get0_private_key(eckey), dgst, dlen, ctx)) { ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ECDSA_R_RANDOM_NUMBER_GENERATION_FAILED); goto err; } } else #endif { if (!BN_rand_range(k, order)) { ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ECDSA_R_RANDOM_NUMBER_GENERATION_FAILED); goto err; } } while (BN_is_zero(k)); /* 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. */ if (!BN_add(k, k, order)) goto err; if (BN_num_bits(k) <= BN_num_bits(order)) if (!BN_add(k, k, order)) goto err; /* compute r the x-coordinate of generator * k */ if (!EC_POINT_mul(group, tmp_point, k, NULL, NULL, ctx)) { ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB); goto err; } if (EC_METHOD_get_field_type(EC_GROUP_method_of(group)) == NID_X9_62_prime_field) { if (!EC_POINT_get_affine_coordinates_GFp(group, tmp_point, X, NULL, ctx)) { ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP,ERR_R_EC_LIB); goto err; } } #ifndef OPENSSL_NO_EC2M else /* NID_X9_62_characteristic_two_field */ { if (!EC_POINT_get_affine_coordinates_GF2m(group, tmp_point, X, NULL, ctx)) { ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP,ERR_R_EC_LIB); goto err; } } #endif if (!BN_nnmod(r, X, order, ctx)) { ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB); goto err; } } while (BN_is_zero(r)); /* compute the inverse of k */ if (EC_GROUP_get_mont_data(group) != NULL) { /* We want inverse in constant time, therefore we utilize the * fact order must be prime and use Fermats Little Theorem * instead. */ if (!BN_set_word(X, 2) ) { ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB); goto err; } if (!BN_mod_sub(X, order, X, order, ctx)) { ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB); goto err; } BN_set_flags(X, BN_FLG_CONSTTIME); if (!BN_mod_exp_mont_consttime(k, k, X, order, ctx, EC_GROUP_get_mont_data(group))) { ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB); goto err; } } else { if (!BN_mod_inverse(k, k, order, ctx)) { ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB); goto err; } } /* clear old values if necessary */ if (*rp != NULL) BN_clear_free(*rp); if (*kinvp != NULL) BN_clear_free(*kinvp); /* save the pre-computed values */ *rp = r; *kinvp = k; ret = 1; err: if (!ret) { if (k != NULL) BN_clear_free(k); if (r != NULL) BN_clear_free(r); } if (ctx_in == NULL) BN_CTX_free(ctx); if (order != NULL) BN_free(order); if (tmp_point != NULL) EC_POINT_free(tmp_point); if (X) BN_clear_free(X); return(ret); } static ECDSA_SIG *ecdsa_do_sign(const unsigned char *dgst, int dgst_len, const BIGNUM *in_kinv, const BIGNUM *in_r, EC_KEY *eckey) { int ok = 0, i; BIGNUM *kinv=NULL, *s, *m=NULL,*tmp=NULL,*order=NULL; const BIGNUM *ckinv; BN_CTX *ctx = NULL; const EC_GROUP *group; ECDSA_SIG *ret; ECDSA_DATA *ecdsa; const BIGNUM *priv_key; ecdsa = ecdsa_check(eckey); group = EC_KEY_get0_group(eckey); priv_key = EC_KEY_get0_private_key(eckey); if (group == NULL || priv_key == NULL || ecdsa == NULL) { ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_PASSED_NULL_PARAMETER); return NULL; } ret = ECDSA_SIG_new(); if (!ret) { ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_MALLOC_FAILURE); return NULL; } s = ret->s; if ((ctx = BN_CTX_new()) == NULL || (order = BN_new()) == NULL || (tmp = BN_new()) == NULL || (m = BN_new()) == NULL) { ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_MALLOC_FAILURE); goto err; } if (!EC_GROUP_get_order(group, order, ctx)) { ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_EC_LIB); goto err; } i = BN_num_bits(order); /* Need to truncate digest if it is too long: first truncate whole * bytes. */ if (8 * dgst_len > i) dgst_len = (i + 7)/8; if (!BN_bin2bn(dgst, dgst_len, m)) { ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_BN_LIB); goto err; } /* If still too long truncate remaining bits with a shift */ if ((8 * dgst_len > i) && !BN_rshift(m, m, 8 - (i & 0x7))) { ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_BN_LIB); goto err; } do { if (in_kinv == NULL || in_r == NULL) { if (!ecdsa_sign_setup( eckey, ctx, &kinv, &ret->r, dgst, dgst_len)) { ECDSAerr(ECDSA_F_ECDSA_DO_SIGN,ERR_R_ECDSA_LIB); goto err; } ckinv = kinv; } else { ckinv = in_kinv; if (BN_copy(ret->r, in_r) == NULL) { ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_MALLOC_FAILURE); goto err; } } if (!BN_mod_mul(tmp, priv_key, ret->r, order, ctx)) { ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_BN_LIB); goto err; } if (!BN_mod_add_quick(s, tmp, m, order)) { ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_BN_LIB); goto err; } if (!BN_mod_mul(s, s, ckinv, order, ctx)) { ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_BN_LIB); goto err; } if (BN_is_zero(s)) { /* if kinv and r have been supplied by the caller * don't to generate new kinv and r values */ if (in_kinv != NULL && in_r != NULL) { ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ECDSA_R_NEED_NEW_SETUP_VALUES); goto err; } } else /* s != 0 => we have a valid signature */ break; } while (1); ok = 1; err: if (!ok) { ECDSA_SIG_free(ret); ret = NULL; } if (ctx) BN_CTX_free(ctx); if (m) BN_clear_free(m); if (tmp) BN_clear_free(tmp); if (order) BN_free(order); if (kinv) BN_clear_free(kinv); return ret; } static int ecdsa_do_verify(const unsigned char *dgst, int dgst_len, const ECDSA_SIG *sig, EC_KEY *eckey) { int ret = -1, i; BN_CTX *ctx; BIGNUM *order, *u1, *u2, *m, *X; EC_POINT *point = NULL; const EC_GROUP *group; const EC_POINT *pub_key; /* check input values */ if (eckey == NULL || (group = EC_KEY_get0_group(eckey)) == NULL || (pub_key = EC_KEY_get0_public_key(eckey)) == NULL || sig == NULL) { ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ECDSA_R_MISSING_PARAMETERS); return -1; } ctx = BN_CTX_new(); if (!ctx) { ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_MALLOC_FAILURE); return -1; } BN_CTX_start(ctx); order = BN_CTX_get(ctx); u1 = BN_CTX_get(ctx); u2 = BN_CTX_get(ctx); m = BN_CTX_get(ctx); X = BN_CTX_get(ctx); if (!X) { ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB); goto err; } if (!EC_GROUP_get_order(group, order, ctx)) { ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_EC_LIB); goto err; } if (BN_is_zero(sig->r) || BN_is_negative(sig->r) || BN_ucmp(sig->r, order) >= 0 || BN_is_zero(sig->s) || BN_is_negative(sig->s) || BN_ucmp(sig->s, order) >= 0) { ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ECDSA_R_BAD_SIGNATURE); ret = 0; /* signature is invalid */ goto err; } /* calculate tmp1 = inv(S) mod order */ if (!BN_mod_inverse(u2, sig->s, order, ctx)) { ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB); goto err; } /* digest -> m */ i = BN_num_bits(order); /* Need to truncate digest if it is too long: first truncate whole * bytes. */ if (8 * dgst_len > i) dgst_len = (i + 7)/8; if (!BN_bin2bn(dgst, dgst_len, m)) { ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB); goto err; } /* If still too long truncate remaining bits with a shift */ if ((8 * dgst_len > i) && !BN_rshift(m, m, 8 - (i & 0x7))) { ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB); goto err; } /* u1 = m * tmp mod order */ if (!BN_mod_mul(u1, m, u2, order, ctx)) { ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB); goto err; } /* u2 = r * w mod q */ if (!BN_mod_mul(u2, sig->r, u2, order, ctx)) { ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB); goto err; } if ((point = EC_POINT_new(group)) == NULL) { ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_MALLOC_FAILURE); goto err; } if (!EC_POINT_mul(group, point, u1, pub_key, u2, ctx)) { ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_EC_LIB); goto err; } if (EC_METHOD_get_field_type(EC_GROUP_method_of(group)) == NID_X9_62_prime_field) { if (!EC_POINT_get_affine_coordinates_GFp(group, point, X, NULL, ctx)) { ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_EC_LIB); goto err; } } #ifndef OPENSSL_NO_EC2M else /* NID_X9_62_characteristic_two_field */ { if (!EC_POINT_get_affine_coordinates_GF2m(group, point, X, NULL, ctx)) { ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_EC_LIB); goto err; } } #endif if (!BN_nnmod(u1, X, order, ctx)) { ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB); goto err; } /* if the signature is correct u1 is equal to sig->r */ ret = (BN_ucmp(u1, sig->r) == 0); err: BN_CTX_end(ctx); BN_CTX_free(ctx); if (point) EC_POINT_free(point); return ret; }