1 /* crypto/ec/ec2_oct.c */ 2 /* ==================================================================== 3 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. 4 * 5 * The Elliptic Curve Public-Key Crypto Library (ECC Code) included 6 * herein is developed by SUN MICROSYSTEMS, INC., and is contributed 7 * to the OpenSSL project. 8 * 9 * The ECC Code is licensed pursuant to the OpenSSL open source 10 * license provided below. 11 * 12 * The software is originally written by Sheueling Chang Shantz and 13 * Douglas Stebila of Sun Microsystems Laboratories. 14 * 15 */ 16 /* ==================================================================== 17 * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved. 18 * 19 * Redistribution and use in source and binary forms, with or without 20 * modification, are permitted provided that the following conditions 21 * are met: 22 * 23 * 1. Redistributions of source code must retain the above copyright 24 * notice, this list of conditions and the following disclaimer. 25 * 26 * 2. Redistributions in binary form must reproduce the above copyright 27 * notice, this list of conditions and the following disclaimer in 28 * the documentation and/or other materials provided with the 29 * distribution. 30 * 31 * 3. All advertising materials mentioning features or use of this 32 * software must display the following acknowledgment: 33 * "This product includes software developed by the OpenSSL Project 34 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" 35 * 36 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to 37 * endorse or promote products derived from this software without 38 * prior written permission. For written permission, please contact 39 * openssl-core (at) openssl.org. 40 * 41 * 5. Products derived from this software may not be called "OpenSSL" 42 * nor may "OpenSSL" appear in their names without prior written 43 * permission of the OpenSSL Project. 44 * 45 * 6. Redistributions of any form whatsoever must retain the following 46 * acknowledgment: 47 * "This product includes software developed by the OpenSSL Project 48 * for use in the OpenSSL Toolkit (http://www.openssl.org/)" 49 * 50 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY 51 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 52 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 53 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR 54 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, 55 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT 56 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; 57 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 58 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, 59 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) 60 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED 61 * OF THE POSSIBILITY OF SUCH DAMAGE. 62 * ==================================================================== 63 * 64 * This product includes cryptographic software written by Eric Young 65 * (eay (at) cryptsoft.com). This product includes software written by Tim 66 * Hudson (tjh (at) cryptsoft.com). 67 * 68 */ 69 70 #include <openssl/err.h> 71 72 #include "ec_lcl.h" 73 74 #ifndef OPENSSL_NO_EC2M 75 76 /* Calculates and sets the affine coordinates of an EC_POINT from the given 77 * compressed coordinates. Uses algorithm 2.3.4 of SEC 1. 78 * Note that the simple implementation only uses affine coordinates. 79 * 80 * The method is from the following publication: 81 * 82 * Harper, Menezes, Vanstone: 83 * "Public-Key Cryptosystems with Very Small Key Lengths", 84 * EUROCRYPT '92, Springer-Verlag LNCS 658, 85 * published February 1993 86 * 87 * US Patents 6,141,420 and 6,618,483 (Vanstone, Mullin, Agnew) describe 88 * the same method, but claim no priority date earlier than July 29, 1994 89 * (and additionally fail to cite the EUROCRYPT '92 publication as prior art). 90 */ 91 int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *group, EC_POINT *point, 92 const BIGNUM *x_, int y_bit, BN_CTX *ctx) 93 { 94 BN_CTX *new_ctx = NULL; 95 BIGNUM *tmp, *x, *y, *z; 96 int ret = 0, z0; 97 98 /* clear error queue */ 99 ERR_clear_error(); 100 101 if (ctx == NULL) 102 { 103 ctx = new_ctx = BN_CTX_new(); 104 if (ctx == NULL) 105 return 0; 106 } 107 108 y_bit = (y_bit != 0) ? 1 : 0; 109 110 BN_CTX_start(ctx); 111 tmp = BN_CTX_get(ctx); 112 x = BN_CTX_get(ctx); 113 y = BN_CTX_get(ctx); 114 z = BN_CTX_get(ctx); 115 if (z == NULL) goto err; 116 117 if (!BN_GF2m_mod_arr(x, x_, group->poly)) goto err; 118 if (BN_is_zero(x)) 119 { 120 if (!BN_GF2m_mod_sqrt_arr(y, &group->b, group->poly, ctx)) goto err; 121 } 122 else 123 { 124 if (!group->meth->field_sqr(group, tmp, x, ctx)) goto err; 125 if (!group->meth->field_div(group, tmp, &group->b, tmp, ctx)) goto err; 126 if (!BN_GF2m_add(tmp, &group->a, tmp)) goto err; 127 if (!BN_GF2m_add(tmp, x, tmp)) goto err; 128 if (!BN_GF2m_mod_solve_quad_arr(z, tmp, group->poly, ctx)) 129 { 130 unsigned long err = ERR_peek_last_error(); 131 132 if (ERR_GET_LIB(err) == ERR_LIB_BN && ERR_GET_REASON(err) == BN_R_NO_SOLUTION) 133 { 134 ERR_clear_error(); 135 ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES, EC_R_INVALID_COMPRESSED_POINT); 136 } 137 else 138 ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES, ERR_R_BN_LIB); 139 goto err; 140 } 141 z0 = (BN_is_odd(z)) ? 1 : 0; 142 if (!group->meth->field_mul(group, y, x, z, ctx)) goto err; 143 if (z0 != y_bit) 144 { 145 if (!BN_GF2m_add(y, y, x)) goto err; 146 } 147 } 148 149 if (!EC_POINT_set_affine_coordinates_GF2m(group, point, x, y, ctx)) goto err; 150 151 ret = 1; 152 153 err: 154 BN_CTX_end(ctx); 155 if (new_ctx != NULL) 156 BN_CTX_free(new_ctx); 157 return ret; 158 } 159 160 161 /* Converts an EC_POINT to an octet string. 162 * If buf is NULL, the encoded length will be returned. 163 * If the length len of buf is smaller than required an error will be returned. 164 */ 165 size_t ec_GF2m_simple_point2oct(const EC_GROUP *group, const EC_POINT *point, point_conversion_form_t form, 166 unsigned char *buf, size_t len, BN_CTX *ctx) 167 { 168 size_t ret; 169 BN_CTX *new_ctx = NULL; 170 int used_ctx = 0; 171 BIGNUM *x, *y, *yxi; 172 size_t field_len, i, skip; 173 174 if ((form != POINT_CONVERSION_COMPRESSED) 175 && (form != POINT_CONVERSION_UNCOMPRESSED) 176 && (form != POINT_CONVERSION_HYBRID)) 177 { 178 ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_INVALID_FORM); 179 goto err; 180 } 181 182 if (EC_POINT_is_at_infinity(group, point)) 183 { 184 /* encodes to a single 0 octet */ 185 if (buf != NULL) 186 { 187 if (len < 1) 188 { 189 ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL); 190 return 0; 191 } 192 buf[0] = 0; 193 } 194 return 1; 195 } 196 197 198 /* ret := required output buffer length */ 199 field_len = (EC_GROUP_get_degree(group) + 7) / 8; 200 ret = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2*field_len; 201 202 /* if 'buf' is NULL, just return required length */ 203 if (buf != NULL) 204 { 205 if (len < ret) 206 { 207 ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL); 208 goto err; 209 } 210 211 if (ctx == NULL) 212 { 213 ctx = new_ctx = BN_CTX_new(); 214 if (ctx == NULL) 215 return 0; 216 } 217 218 BN_CTX_start(ctx); 219 used_ctx = 1; 220 x = BN_CTX_get(ctx); 221 y = BN_CTX_get(ctx); 222 yxi = BN_CTX_get(ctx); 223 if (yxi == NULL) goto err; 224 225 if (!EC_POINT_get_affine_coordinates_GF2m(group, point, x, y, ctx)) goto err; 226 227 buf[0] = form; 228 if ((form != POINT_CONVERSION_UNCOMPRESSED) && !BN_is_zero(x)) 229 { 230 if (!group->meth->field_div(group, yxi, y, x, ctx)) goto err; 231 if (BN_is_odd(yxi)) buf[0]++; 232 } 233 234 i = 1; 235 236 skip = field_len - BN_num_bytes(x); 237 if (skip > field_len) 238 { 239 ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); 240 goto err; 241 } 242 while (skip > 0) 243 { 244 buf[i++] = 0; 245 skip--; 246 } 247 skip = BN_bn2bin(x, buf + i); 248 i += skip; 249 if (i != 1 + field_len) 250 { 251 ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); 252 goto err; 253 } 254 255 if (form == POINT_CONVERSION_UNCOMPRESSED || form == POINT_CONVERSION_HYBRID) 256 { 257 skip = field_len - BN_num_bytes(y); 258 if (skip > field_len) 259 { 260 ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); 261 goto err; 262 } 263 while (skip > 0) 264 { 265 buf[i++] = 0; 266 skip--; 267 } 268 skip = BN_bn2bin(y, buf + i); 269 i += skip; 270 } 271 272 if (i != ret) 273 { 274 ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); 275 goto err; 276 } 277 } 278 279 if (used_ctx) 280 BN_CTX_end(ctx); 281 if (new_ctx != NULL) 282 BN_CTX_free(new_ctx); 283 return ret; 284 285 err: 286 if (used_ctx) 287 BN_CTX_end(ctx); 288 if (new_ctx != NULL) 289 BN_CTX_free(new_ctx); 290 return 0; 291 } 292 293 294 /* Converts an octet string representation to an EC_POINT. 295 * Note that the simple implementation only uses affine coordinates. 296 */ 297 int ec_GF2m_simple_oct2point(const EC_GROUP *group, EC_POINT *point, 298 const unsigned char *buf, size_t len, BN_CTX *ctx) 299 { 300 point_conversion_form_t form; 301 int y_bit; 302 BN_CTX *new_ctx = NULL; 303 BIGNUM *x, *y, *yxi; 304 size_t field_len, enc_len; 305 int ret = 0; 306 307 if (len == 0) 308 { 309 ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_BUFFER_TOO_SMALL); 310 return 0; 311 } 312 form = buf[0]; 313 y_bit = form & 1; 314 form = form & ~1U; 315 if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED) 316 && (form != POINT_CONVERSION_UNCOMPRESSED) 317 && (form != POINT_CONVERSION_HYBRID)) 318 { 319 ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); 320 return 0; 321 } 322 if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit) 323 { 324 ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); 325 return 0; 326 } 327 328 if (form == 0) 329 { 330 if (len != 1) 331 { 332 ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); 333 return 0; 334 } 335 336 return EC_POINT_set_to_infinity(group, point); 337 } 338 339 field_len = (EC_GROUP_get_degree(group) + 7) / 8; 340 enc_len = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2*field_len; 341 342 if (len != enc_len) 343 { 344 ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); 345 return 0; 346 } 347 348 if (ctx == NULL) 349 { 350 ctx = new_ctx = BN_CTX_new(); 351 if (ctx == NULL) 352 return 0; 353 } 354 355 BN_CTX_start(ctx); 356 x = BN_CTX_get(ctx); 357 y = BN_CTX_get(ctx); 358 yxi = BN_CTX_get(ctx); 359 if (yxi == NULL) goto err; 360 361 if (!BN_bin2bn(buf + 1, field_len, x)) goto err; 362 if (BN_ucmp(x, &group->field) >= 0) 363 { 364 ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); 365 goto err; 366 } 367 368 if (form == POINT_CONVERSION_COMPRESSED) 369 { 370 if (!EC_POINT_set_compressed_coordinates_GF2m(group, point, x, y_bit, ctx)) goto err; 371 } 372 else 373 { 374 if (!BN_bin2bn(buf + 1 + field_len, field_len, y)) goto err; 375 if (BN_ucmp(y, &group->field) >= 0) 376 { 377 ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); 378 goto err; 379 } 380 if (form == POINT_CONVERSION_HYBRID) 381 { 382 if (!group->meth->field_div(group, yxi, y, x, ctx)) goto err; 383 if (y_bit != BN_is_odd(yxi)) 384 { 385 ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); 386 goto err; 387 } 388 } 389 390 if (!EC_POINT_set_affine_coordinates_GF2m(group, point, x, y, ctx)) goto err; 391 } 392 393 if (!EC_POINT_is_on_curve(group, point, ctx)) /* test required by X9.62 */ 394 { 395 ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_POINT_IS_NOT_ON_CURVE); 396 goto err; 397 } 398 399 ret = 1; 400 401 err: 402 BN_CTX_end(ctx); 403 if (new_ctx != NULL) 404 BN_CTX_free(new_ctx); 405 return ret; 406 } 407 #endif 408
