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| 1 /* crypto/ecdsa/ecs_ossl.c */ | |
| 2 /* | |
| 3 * Written by Nils Larsch for the OpenSSL project | |
| 4 */ | |
| 5 /* ==================================================================== | |
| 6 * Copyright (c) 1998-2004 The OpenSSL Project. All rights reserved. | |
| 7 * | |
| 8 * Redistribution and use in source and binary forms, with or without | |
| 9 * modification, are permitted provided that the following conditions | |
| 10 * are met: | |
| 11 * | |
| 12 * 1. Redistributions of source code must retain the above copyright | |
| 13 * notice, this list of conditions and the following disclaimer. | |
| 14 * | |
| 15 * 2. Redistributions in binary form must reproduce the above copyright | |
| 16 * notice, this list of conditions and the following disclaimer in | |
| 17 * the documentation and/or other materials provided with the | |
| 18 * distribution. | |
| 19 * | |
| 20 * 3. All advertising materials mentioning features or use of this | |
| 21 * software must display the following acknowledgment: | |
| 22 * "This product includes software developed by the OpenSSL Project | |
| 23 * for use in the OpenSSL Toolkit. (http://www.OpenSSL.org/)" | |
| 24 * | |
| 25 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to | |
| 26 * endorse or promote products derived from this software without | |
| 27 * prior written permission. For written permission, please contact | |
| 28 * openssl-core@OpenSSL.org. | |
| 29 * | |
| 30 * 5. Products derived from this software may not be called "OpenSSL" | |
| 31 * nor may "OpenSSL" appear in their names without prior written | |
| 32 * permission of the OpenSSL Project. | |
| 33 * | |
| 34 * 6. Redistributions of any form whatsoever must retain the following | |
| 35 * acknowledgment: | |
| 36 * "This product includes software developed by the OpenSSL Project | |
| 37 * for use in the OpenSSL Toolkit (http://www.OpenSSL.org/)" | |
| 38 * | |
| 39 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY | |
| 40 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | |
| 41 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR | |
| 42 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR | |
| 43 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, | |
| 44 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT | |
| 45 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; | |
| 46 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) | |
| 47 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, | |
| 48 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) | |
| 49 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED | |
| 50 * OF THE POSSIBILITY OF SUCH DAMAGE. | |
| 51 * ==================================================================== | |
| 52 * | |
| 53 * This product includes cryptographic software written by Eric Young | |
| 54 * (eay@cryptsoft.com). This product includes software written by Tim | |
| 55 * Hudson (tjh@cryptsoft.com). | |
| 56 * | |
| 57 */ | |
| 58 | |
| 59 #include "ecs_locl.h" | |
| 60 #include <openssl/err.h> | |
| 61 #include <openssl/obj_mac.h> | |
| 62 #include <openssl/bn.h> | |
| 63 | |
| 64 static ECDSA_SIG *ecdsa_do_sign(const unsigned char *dgst, int dlen, | |
| 65 const BIGNUM *, const BIGNUM *, EC_KEY *eckey); | |
| 66 static int ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp, | |
| 67 BIGNUM **rp); | |
| 68 static int ecdsa_do_verify(const unsigned char *dgst, int dgst_len, | |
| 69 const ECDSA_SIG *sig, EC_KEY *eckey); | |
| 70 | |
| 71 static ECDSA_METHOD openssl_ecdsa_meth = { | |
| 72 "OpenSSL ECDSA method", | |
| 73 ecdsa_do_sign, | |
| 74 ecdsa_sign_setup, | |
| 75 ecdsa_do_verify, | |
| 76 #if 0 | |
| 77 NULL, /* init */ | |
| 78 NULL, /* finish */ | |
| 79 #endif | |
| 80 0, /* flags */ | |
| 81 NULL /* app_data */ | |
| 82 }; | |
| 83 | |
| 84 const ECDSA_METHOD *ECDSA_OpenSSL(void) | |
| 85 { | |
| 86 return &openssl_ecdsa_meth; | |
| 87 } | |
| 88 | |
| 89 static int ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp, | |
| 90 BIGNUM **rp) | |
| 91 { | |
| 92 BN_CTX *ctx = NULL; | |
| 93 BIGNUM *k = NULL, *r = NULL, *order = NULL, *X = NULL; | |
| 94 EC_POINT *tmp_point=NULL; | |
| 95 const EC_GROUP *group; | |
| 96 int ret = 0; | |
| 97 | |
| 98 if (eckey == NULL || (group = EC_KEY_get0_group(eckey)) == NULL) | |
| 99 { | |
| 100 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_PASSED_NULL_PARAMETER); | |
| 101 return 0; | |
| 102 } | |
| 103 | |
| 104 if (ctx_in == NULL) | |
| 105 { | |
| 106 if ((ctx = BN_CTX_new()) == NULL) | |
| 107 { | |
| 108 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP,ERR_R_MALLOC_FAILURE); | |
| 109 return 0; | |
| 110 } | |
| 111 } | |
| 112 else | |
| 113 ctx = ctx_in; | |
| 114 | |
| 115 k = BN_new(); /* this value is later returned in *kinvp */ | |
| 116 r = BN_new(); /* this value is later returned in *rp */ | |
| 117 order = BN_new(); | |
| 118 X = BN_new(); | |
| 119 if (!k || !r || !order || !X) | |
| 120 { | |
| 121 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_MALLOC_FAILURE); | |
| 122 goto err; | |
| 123 } | |
| 124 if ((tmp_point = EC_POINT_new(group)) == NULL) | |
| 125 { | |
| 126 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB); | |
| 127 goto err; | |
| 128 } | |
| 129 if (!EC_GROUP_get_order(group, order, ctx)) | |
| 130 { | |
| 131 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB); | |
| 132 goto err; | |
| 133 } | |
| 134 | |
| 135 do | |
| 136 { | |
| 137 /* get random k */ | |
| 138 do | |
| 139 if (!BN_rand_range(k, order)) | |
| 140 { | |
| 141 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, | |
| 142 ECDSA_R_RANDOM_NUMBER_GENERATION_FAILED); | |
| 143 goto err; | |
| 144 } | |
| 145 while (BN_is_zero(k)); | |
| 146 | |
| 147 /* We do not want timing information to leak the length of k, | |
| 148 * so we compute G*k using an equivalent scalar of fixed | |
| 149 * bit-length. */ | |
| 150 | |
| 151 if (!BN_add(k, k, order)) goto err; | |
| 152 if (BN_num_bits(k) <= BN_num_bits(order)) | |
| 153 if (!BN_add(k, k, order)) goto err; | |
| 154 | |
| 155 /* compute r the x-coordinate of generator * k */ | |
| 156 if (!EC_POINT_mul(group, tmp_point, k, NULL, NULL, ctx)) | |
| 157 { | |
| 158 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB); | |
| 159 goto err; | |
| 160 } | |
| 161 if (EC_METHOD_get_field_type(EC_GROUP_method_of(group)) == NID_X
9_62_prime_field) | |
| 162 { | |
| 163 if (!EC_POINT_get_affine_coordinates_GFp(group, | |
| 164 tmp_point, X, NULL, ctx)) | |
| 165 { | |
| 166 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP,ERR_R_EC_LIB); | |
| 167 goto err; | |
| 168 } | |
| 169 } | |
| 170 #ifndef OPENSSL_NO_EC2M | |
| 171 else /* NID_X9_62_characteristic_two_field */ | |
| 172 { | |
| 173 if (!EC_POINT_get_affine_coordinates_GF2m(group, | |
| 174 tmp_point, X, NULL, ctx)) | |
| 175 { | |
| 176 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP,ERR_R_EC_LIB); | |
| 177 goto err; | |
| 178 } | |
| 179 } | |
| 180 #endif | |
| 181 if (!BN_nnmod(r, X, order, ctx)) | |
| 182 { | |
| 183 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB); | |
| 184 goto err; | |
| 185 } | |
| 186 } | |
| 187 while (BN_is_zero(r)); | |
| 188 | |
| 189 /* compute the inverse of k */ | |
| 190 if (!BN_mod_inverse(k, k, order, ctx)) | |
| 191 { | |
| 192 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB); | |
| 193 goto err; | |
| 194 } | |
| 195 /* clear old values if necessary */ | |
| 196 if (*rp != NULL) | |
| 197 BN_clear_free(*rp); | |
| 198 if (*kinvp != NULL) | |
| 199 BN_clear_free(*kinvp); | |
| 200 /* save the pre-computed values */ | |
| 201 *rp = r; | |
| 202 *kinvp = k; | |
| 203 ret = 1; | |
| 204 err: | |
| 205 if (!ret) | |
| 206 { | |
| 207 if (k != NULL) BN_clear_free(k); | |
| 208 if (r != NULL) BN_clear_free(r); | |
| 209 } | |
| 210 if (ctx_in == NULL) | |
| 211 BN_CTX_free(ctx); | |
| 212 if (order != NULL) | |
| 213 BN_free(order); | |
| 214 if (tmp_point != NULL) | |
| 215 EC_POINT_free(tmp_point); | |
| 216 if (X) | |
| 217 BN_clear_free(X); | |
| 218 return(ret); | |
| 219 } | |
| 220 | |
| 221 | |
| 222 static ECDSA_SIG *ecdsa_do_sign(const unsigned char *dgst, int dgst_len, | |
| 223 const BIGNUM *in_kinv, const BIGNUM *in_r, EC_KEY *eckey) | |
| 224 { | |
| 225 int ok = 0, i; | |
| 226 BIGNUM *kinv=NULL, *s, *m=NULL,*tmp=NULL,*order=NULL; | |
| 227 const BIGNUM *ckinv; | |
| 228 BN_CTX *ctx = NULL; | |
| 229 const EC_GROUP *group; | |
| 230 ECDSA_SIG *ret; | |
| 231 ECDSA_DATA *ecdsa; | |
| 232 const BIGNUM *priv_key; | |
| 233 | |
| 234 ecdsa = ecdsa_check(eckey); | |
| 235 group = EC_KEY_get0_group(eckey); | |
| 236 priv_key = EC_KEY_get0_private_key(eckey); | |
| 237 | |
| 238 if (group == NULL || priv_key == NULL || ecdsa == NULL) | |
| 239 { | |
| 240 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_PASSED_NULL_PARAMETER); | |
| 241 return NULL; | |
| 242 } | |
| 243 | |
| 244 ret = ECDSA_SIG_new(); | |
| 245 if (!ret) | |
| 246 { | |
| 247 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_MALLOC_FAILURE); | |
| 248 return NULL; | |
| 249 } | |
| 250 s = ret->s; | |
| 251 | |
| 252 if ((ctx = BN_CTX_new()) == NULL || (order = BN_new()) == NULL || | |
| 253 (tmp = BN_new()) == NULL || (m = BN_new()) == NULL) | |
| 254 { | |
| 255 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_MALLOC_FAILURE); | |
| 256 goto err; | |
| 257 } | |
| 258 | |
| 259 if (!EC_GROUP_get_order(group, order, ctx)) | |
| 260 { | |
| 261 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_EC_LIB); | |
| 262 goto err; | |
| 263 } | |
| 264 i = BN_num_bits(order); | |
| 265 /* Need to truncate digest if it is too long: first truncate whole | |
| 266 * bytes. | |
| 267 */ | |
| 268 if (8 * dgst_len > i) | |
| 269 dgst_len = (i + 7)/8; | |
| 270 if (!BN_bin2bn(dgst, dgst_len, m)) | |
| 271 { | |
| 272 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_BN_LIB); | |
| 273 goto err; | |
| 274 } | |
| 275 /* If still too long truncate remaining bits with a shift */ | |
| 276 if ((8 * dgst_len > i) && !BN_rshift(m, m, 8 - (i & 0x7))) | |
| 277 { | |
| 278 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_BN_LIB); | |
| 279 goto err; | |
| 280 } | |
| 281 do | |
| 282 { | |
| 283 if (in_kinv == NULL || in_r == NULL) | |
| 284 { | |
| 285 if (!ECDSA_sign_setup(eckey, ctx, &kinv, &ret->r)) | |
| 286 { | |
| 287 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN,ERR_R_ECDSA_LIB); | |
| 288 goto err; | |
| 289 } | |
| 290 ckinv = kinv; | |
| 291 } | |
| 292 else | |
| 293 { | |
| 294 ckinv = in_kinv; | |
| 295 if (BN_copy(ret->r, in_r) == NULL) | |
| 296 { | |
| 297 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_MALLOC_FAI
LURE); | |
| 298 goto err; | |
| 299 } | |
| 300 } | |
| 301 | |
| 302 if (!BN_mod_mul(tmp, priv_key, ret->r, order, ctx)) | |
| 303 { | |
| 304 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_BN_LIB); | |
| 305 goto err; | |
| 306 } | |
| 307 if (!BN_mod_add_quick(s, tmp, m, order)) | |
| 308 { | |
| 309 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_BN_LIB); | |
| 310 goto err; | |
| 311 } | |
| 312 if (!BN_mod_mul(s, s, ckinv, order, ctx)) | |
| 313 { | |
| 314 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_BN_LIB); | |
| 315 goto err; | |
| 316 } | |
| 317 if (BN_is_zero(s)) | |
| 318 { | |
| 319 /* if kinv and r have been supplied by the caller | |
| 320 * don't to generate new kinv and r values */ | |
| 321 if (in_kinv != NULL && in_r != NULL) | |
| 322 { | |
| 323 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ECDSA_R_NEED_NEW
_SETUP_VALUES); | |
| 324 goto err; | |
| 325 } | |
| 326 } | |
| 327 else | |
| 328 /* s != 0 => we have a valid signature */ | |
| 329 break; | |
| 330 } | |
| 331 while (1); | |
| 332 | |
| 333 ok = 1; | |
| 334 err: | |
| 335 if (!ok) | |
| 336 { | |
| 337 ECDSA_SIG_free(ret); | |
| 338 ret = NULL; | |
| 339 } | |
| 340 if (ctx) | |
| 341 BN_CTX_free(ctx); | |
| 342 if (m) | |
| 343 BN_clear_free(m); | |
| 344 if (tmp) | |
| 345 BN_clear_free(tmp); | |
| 346 if (order) | |
| 347 BN_free(order); | |
| 348 if (kinv) | |
| 349 BN_clear_free(kinv); | |
| 350 return ret; | |
| 351 } | |
| 352 | |
| 353 static int ecdsa_do_verify(const unsigned char *dgst, int dgst_len, | |
| 354 const ECDSA_SIG *sig, EC_KEY *eckey) | |
| 355 { | |
| 356 int ret = -1, i; | |
| 357 BN_CTX *ctx; | |
| 358 BIGNUM *order, *u1, *u2, *m, *X; | |
| 359 EC_POINT *point = NULL; | |
| 360 const EC_GROUP *group; | |
| 361 const EC_POINT *pub_key; | |
| 362 | |
| 363 /* check input values */ | |
| 364 if (eckey == NULL || (group = EC_KEY_get0_group(eckey)) == NULL || | |
| 365 (pub_key = EC_KEY_get0_public_key(eckey)) == NULL || sig == NULL) | |
| 366 { | |
| 367 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ECDSA_R_MISSING_PARAMETERS); | |
| 368 return -1; | |
| 369 } | |
| 370 | |
| 371 ctx = BN_CTX_new(); | |
| 372 if (!ctx) | |
| 373 { | |
| 374 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_MALLOC_FAILURE); | |
| 375 return -1; | |
| 376 } | |
| 377 BN_CTX_start(ctx); | |
| 378 order = BN_CTX_get(ctx); | |
| 379 u1 = BN_CTX_get(ctx); | |
| 380 u2 = BN_CTX_get(ctx); | |
| 381 m = BN_CTX_get(ctx); | |
| 382 X = BN_CTX_get(ctx); | |
| 383 if (!X) | |
| 384 { | |
| 385 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB); | |
| 386 goto err; | |
| 387 } | |
| 388 | |
| 389 if (!EC_GROUP_get_order(group, order, ctx)) | |
| 390 { | |
| 391 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_EC_LIB); | |
| 392 goto err; | |
| 393 } | |
| 394 | |
| 395 if (BN_is_zero(sig->r) || BN_is_negative(sig->r) || | |
| 396 BN_ucmp(sig->r, order) >= 0 || BN_is_zero(sig->s) || | |
| 397 BN_is_negative(sig->s) || BN_ucmp(sig->s, order) >= 0) | |
| 398 { | |
| 399 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ECDSA_R_BAD_SIGNATURE); | |
| 400 ret = 0; /* signature is invalid */ | |
| 401 goto err; | |
| 402 } | |
| 403 /* calculate tmp1 = inv(S) mod order */ | |
| 404 if (!BN_mod_inverse(u2, sig->s, order, ctx)) | |
| 405 { | |
| 406 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB); | |
| 407 goto err; | |
| 408 } | |
| 409 /* digest -> m */ | |
| 410 i = BN_num_bits(order); | |
| 411 /* Need to truncate digest if it is too long: first truncate whole | |
| 412 * bytes. | |
| 413 */ | |
| 414 if (8 * dgst_len > i) | |
| 415 dgst_len = (i + 7)/8; | |
| 416 if (!BN_bin2bn(dgst, dgst_len, m)) | |
| 417 { | |
| 418 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB); | |
| 419 goto err; | |
| 420 } | |
| 421 /* If still too long truncate remaining bits with a shift */ | |
| 422 if ((8 * dgst_len > i) && !BN_rshift(m, m, 8 - (i & 0x7))) | |
| 423 { | |
| 424 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB); | |
| 425 goto err; | |
| 426 } | |
| 427 /* u1 = m * tmp mod order */ | |
| 428 if (!BN_mod_mul(u1, m, u2, order, ctx)) | |
| 429 { | |
| 430 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB); | |
| 431 goto err; | |
| 432 } | |
| 433 /* u2 = r * w mod q */ | |
| 434 if (!BN_mod_mul(u2, sig->r, u2, order, ctx)) | |
| 435 { | |
| 436 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB); | |
| 437 goto err; | |
| 438 } | |
| 439 | |
| 440 if ((point = EC_POINT_new(group)) == NULL) | |
| 441 { | |
| 442 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_MALLOC_FAILURE); | |
| 443 goto err; | |
| 444 } | |
| 445 if (!EC_POINT_mul(group, point, u1, pub_key, u2, ctx)) | |
| 446 { | |
| 447 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_EC_LIB); | |
| 448 goto err; | |
| 449 } | |
| 450 if (EC_METHOD_get_field_type(EC_GROUP_method_of(group)) == NID_X9_62_pri
me_field) | |
| 451 { | |
| 452 if (!EC_POINT_get_affine_coordinates_GFp(group, | |
| 453 point, X, NULL, ctx)) | |
| 454 { | |
| 455 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_EC_LIB); | |
| 456 goto err; | |
| 457 } | |
| 458 } | |
| 459 #ifndef OPENSSL_NO_EC2M | |
| 460 else /* NID_X9_62_characteristic_two_field */ | |
| 461 { | |
| 462 if (!EC_POINT_get_affine_coordinates_GF2m(group, | |
| 463 point, X, NULL, ctx)) | |
| 464 { | |
| 465 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_EC_LIB); | |
| 466 goto err; | |
| 467 } | |
| 468 } | |
| 469 #endif | |
| 470 if (!BN_nnmod(u1, X, order, ctx)) | |
| 471 { | |
| 472 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB); | |
| 473 goto err; | |
| 474 } | |
| 475 /* if the signature is correct u1 is equal to sig->r */ | |
| 476 ret = (BN_ucmp(u1, sig->r) == 0); | |
| 477 err: | |
| 478 BN_CTX_end(ctx); | |
| 479 BN_CTX_free(ctx); | |
| 480 if (point) | |
| 481 EC_POINT_free(point); | |
| 482 return ret; | |
| 483 } | |
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