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84b08eee DSH |
1 | /* ==================================================================== |
2 | * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. | |
3 | * | |
4 | * The Elliptic Curve Public-Key Crypto Library (ECC Code) included | |
5 | * herein is developed by SUN MICROSYSTEMS, INC., and is contributed | |
6 | * to the OpenSSL project. | |
7 | * | |
8 | * The ECC Code is licensed pursuant to the OpenSSL open source | |
9 | * license provided below. | |
10 | * | |
11 | * The software is originally written by Sheueling Chang Shantz and | |
12 | * Douglas Stebila of Sun Microsystems Laboratories. | |
13 | * | |
14 | */ | |
15 | /* ==================================================================== | |
16 | * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved. | |
17 | * | |
18 | * Redistribution and use in source and binary forms, with or without | |
19 | * modification, are permitted provided that the following conditions | |
20 | * are met: | |
21 | * | |
22 | * 1. Redistributions of source code must retain the above copyright | |
0f113f3e | 23 | * notice, this list of conditions and the following disclaimer. |
84b08eee DSH |
24 | * |
25 | * 2. Redistributions in binary form must reproduce the above copyright | |
26 | * notice, this list of conditions and the following disclaimer in | |
27 | * the documentation and/or other materials provided with the | |
28 | * distribution. | |
29 | * | |
30 | * 3. All advertising materials mentioning features or use of this | |
31 | * software must display the following acknowledgment: | |
32 | * "This product includes software developed by the OpenSSL Project | |
33 | * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" | |
34 | * | |
35 | * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to | |
36 | * endorse or promote products derived from this software without | |
37 | * prior written permission. For written permission, please contact | |
38 | * openssl-core@openssl.org. | |
39 | * | |
40 | * 5. Products derived from this software may not be called "OpenSSL" | |
41 | * nor may "OpenSSL" appear in their names without prior written | |
42 | * permission of the OpenSSL Project. | |
43 | * | |
44 | * 6. Redistributions of any form whatsoever must retain the following | |
45 | * acknowledgment: | |
46 | * "This product includes software developed by the OpenSSL Project | |
47 | * for use in the OpenSSL Toolkit (http://www.openssl.org/)" | |
48 | * | |
49 | * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY | |
50 | * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | |
51 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR | |
52 | * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR | |
53 | * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, | |
54 | * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT | |
55 | * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; | |
56 | * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) | |
57 | * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, | |
58 | * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) | |
59 | * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED | |
60 | * OF THE POSSIBILITY OF SUCH DAMAGE. | |
61 | * ==================================================================== | |
62 | * | |
63 | * This product includes cryptographic software written by Eric Young | |
64 | * (eay@cryptsoft.com). This product includes software written by Tim | |
65 | * Hudson (tjh@cryptsoft.com). | |
66 | * | |
67 | */ | |
68 | ||
84b08eee DSH |
69 | #include <openssl/err.h> |
70 | ||
71 | #include "ec_lcl.h" | |
72 | ||
73 | #ifndef OPENSSL_NO_EC2M | |
74 | ||
3a83462d MC |
75 | /*- |
76 | * Calculates and sets the affine coordinates of an EC_POINT from the given | |
0f113f3e | 77 | * compressed coordinates. Uses algorithm 2.3.4 of SEC 1. |
84b08eee DSH |
78 | * Note that the simple implementation only uses affine coordinates. |
79 | * | |
80 | * The method is from the following publication: | |
0f113f3e | 81 | * |
84b08eee DSH |
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 | */ | |
0f113f3e MC |
91 | int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *group, |
92 | EC_POINT *point, | |
93 | const BIGNUM *x_, int y_bit, | |
94 | BN_CTX *ctx) | |
95 | { | |
96 | BN_CTX *new_ctx = NULL; | |
97 | BIGNUM *tmp, *x, *y, *z; | |
98 | int ret = 0, z0; | |
99 | ||
100 | /* clear error queue */ | |
101 | ERR_clear_error(); | |
102 | ||
103 | if (ctx == NULL) { | |
104 | ctx = new_ctx = BN_CTX_new(); | |
105 | if (ctx == NULL) | |
106 | return 0; | |
107 | } | |
108 | ||
109 | y_bit = (y_bit != 0) ? 1 : 0; | |
110 | ||
111 | BN_CTX_start(ctx); | |
112 | tmp = BN_CTX_get(ctx); | |
113 | x = BN_CTX_get(ctx); | |
114 | y = BN_CTX_get(ctx); | |
115 | z = BN_CTX_get(ctx); | |
116 | if (z == NULL) | |
117 | goto err; | |
118 | ||
119 | if (!BN_GF2m_mod_arr(x, x_, group->poly)) | |
120 | goto err; | |
121 | if (BN_is_zero(x)) { | |
122 | if (!BN_GF2m_mod_sqrt_arr(y, group->b, group->poly, ctx)) | |
123 | goto err; | |
124 | } else { | |
125 | if (!group->meth->field_sqr(group, tmp, x, ctx)) | |
126 | goto err; | |
127 | if (!group->meth->field_div(group, tmp, group->b, tmp, ctx)) | |
128 | goto err; | |
129 | if (!BN_GF2m_add(tmp, group->a, tmp)) | |
130 | goto err; | |
131 | if (!BN_GF2m_add(tmp, x, tmp)) | |
132 | goto err; | |
133 | if (!BN_GF2m_mod_solve_quad_arr(z, tmp, group->poly, ctx)) { | |
134 | unsigned long err = ERR_peek_last_error(); | |
135 | ||
136 | if (ERR_GET_LIB(err) == ERR_LIB_BN | |
137 | && ERR_GET_REASON(err) == BN_R_NO_SOLUTION) { | |
138 | ERR_clear_error(); | |
139 | ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES, | |
140 | EC_R_INVALID_COMPRESSED_POINT); | |
141 | } else | |
142 | ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES, | |
143 | ERR_R_BN_LIB); | |
144 | goto err; | |
145 | } | |
146 | z0 = (BN_is_odd(z)) ? 1 : 0; | |
147 | if (!group->meth->field_mul(group, y, x, z, ctx)) | |
148 | goto err; | |
149 | if (z0 != y_bit) { | |
150 | if (!BN_GF2m_add(y, y, x)) | |
151 | goto err; | |
152 | } | |
153 | } | |
154 | ||
155 | if (!EC_POINT_set_affine_coordinates_GF2m(group, point, x, y, ctx)) | |
156 | goto err; | |
157 | ||
158 | ret = 1; | |
84b08eee DSH |
159 | |
160 | err: | |
0f113f3e | 161 | BN_CTX_end(ctx); |
23a1d5e9 | 162 | BN_CTX_free(new_ctx); |
0f113f3e MC |
163 | return ret; |
164 | } | |
165 | ||
166 | /* | |
167 | * Converts an EC_POINT to an octet string. If buf is NULL, the encoded | |
168 | * length will be returned. If the length len of buf is smaller than required | |
169 | * an error will be returned. | |
84b08eee | 170 | */ |
0f113f3e MC |
171 | size_t ec_GF2m_simple_point2oct(const EC_GROUP *group, const EC_POINT *point, |
172 | point_conversion_form_t form, | |
173 | unsigned char *buf, size_t len, BN_CTX *ctx) | |
174 | { | |
175 | size_t ret; | |
176 | BN_CTX *new_ctx = NULL; | |
177 | int used_ctx = 0; | |
178 | BIGNUM *x, *y, *yxi; | |
179 | size_t field_len, i, skip; | |
180 | ||
181 | if ((form != POINT_CONVERSION_COMPRESSED) | |
182 | && (form != POINT_CONVERSION_UNCOMPRESSED) | |
183 | && (form != POINT_CONVERSION_HYBRID)) { | |
184 | ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_INVALID_FORM); | |
185 | goto err; | |
186 | } | |
187 | ||
188 | if (EC_POINT_is_at_infinity(group, point)) { | |
189 | /* encodes to a single 0 octet */ | |
190 | if (buf != NULL) { | |
191 | if (len < 1) { | |
192 | ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL); | |
193 | return 0; | |
194 | } | |
195 | buf[0] = 0; | |
196 | } | |
197 | return 1; | |
198 | } | |
199 | ||
200 | /* ret := required output buffer length */ | |
201 | field_len = (EC_GROUP_get_degree(group) + 7) / 8; | |
202 | ret = | |
203 | (form == | |
204 | POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len; | |
205 | ||
206 | /* if 'buf' is NULL, just return required length */ | |
207 | if (buf != NULL) { | |
208 | if (len < ret) { | |
209 | ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL); | |
210 | goto err; | |
211 | } | |
212 | ||
213 | if (ctx == NULL) { | |
214 | ctx = new_ctx = BN_CTX_new(); | |
215 | if (ctx == NULL) | |
216 | return 0; | |
217 | } | |
218 | ||
219 | BN_CTX_start(ctx); | |
220 | used_ctx = 1; | |
221 | x = BN_CTX_get(ctx); | |
222 | y = BN_CTX_get(ctx); | |
223 | yxi = BN_CTX_get(ctx); | |
224 | if (yxi == NULL) | |
225 | goto err; | |
226 | ||
227 | if (!EC_POINT_get_affine_coordinates_GF2m(group, point, x, y, ctx)) | |
228 | goto err; | |
229 | ||
230 | buf[0] = form; | |
231 | if ((form != POINT_CONVERSION_UNCOMPRESSED) && !BN_is_zero(x)) { | |
232 | if (!group->meth->field_div(group, yxi, y, x, ctx)) | |
233 | goto err; | |
234 | if (BN_is_odd(yxi)) | |
235 | buf[0]++; | |
236 | } | |
237 | ||
238 | i = 1; | |
239 | ||
240 | skip = field_len - BN_num_bytes(x); | |
241 | if (skip > field_len) { | |
242 | ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); | |
243 | goto err; | |
244 | } | |
245 | while (skip > 0) { | |
246 | buf[i++] = 0; | |
247 | skip--; | |
248 | } | |
249 | skip = BN_bn2bin(x, buf + i); | |
250 | i += skip; | |
251 | if (i != 1 + field_len) { | |
252 | ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); | |
253 | goto err; | |
254 | } | |
255 | ||
256 | if (form == POINT_CONVERSION_UNCOMPRESSED | |
257 | || form == POINT_CONVERSION_HYBRID) { | |
258 | skip = field_len - BN_num_bytes(y); | |
259 | if (skip > field_len) { | |
260 | ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); | |
261 | goto err; | |
262 | } | |
263 | while (skip > 0) { | |
264 | buf[i++] = 0; | |
265 | skip--; | |
266 | } | |
267 | skip = BN_bn2bin(y, buf + i); | |
268 | i += skip; | |
269 | } | |
270 | ||
271 | if (i != ret) { | |
272 | ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); | |
273 | goto err; | |
274 | } | |
275 | } | |
276 | ||
277 | if (used_ctx) | |
278 | BN_CTX_end(ctx); | |
23a1d5e9 | 279 | BN_CTX_free(new_ctx); |
0f113f3e | 280 | return ret; |
84b08eee DSH |
281 | |
282 | err: | |
0f113f3e MC |
283 | if (used_ctx) |
284 | BN_CTX_end(ctx); | |
23a1d5e9 | 285 | BN_CTX_free(new_ctx); |
0f113f3e MC |
286 | return 0; |
287 | } | |
288 | ||
289 | /* | |
290 | * Converts an octet string representation to an EC_POINT. Note that the | |
291 | * simple implementation only uses affine coordinates. | |
84b08eee DSH |
292 | */ |
293 | int ec_GF2m_simple_oct2point(const EC_GROUP *group, EC_POINT *point, | |
0f113f3e MC |
294 | const unsigned char *buf, size_t len, |
295 | BN_CTX *ctx) | |
296 | { | |
297 | point_conversion_form_t form; | |
298 | int y_bit; | |
299 | BN_CTX *new_ctx = NULL; | |
300 | BIGNUM *x, *y, *yxi; | |
301 | size_t field_len, enc_len; | |
302 | int ret = 0; | |
303 | ||
304 | if (len == 0) { | |
305 | ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_BUFFER_TOO_SMALL); | |
306 | return 0; | |
307 | } | |
308 | form = buf[0]; | |
309 | y_bit = form & 1; | |
310 | form = form & ~1U; | |
311 | if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED) | |
312 | && (form != POINT_CONVERSION_UNCOMPRESSED) | |
313 | && (form != POINT_CONVERSION_HYBRID)) { | |
314 | ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); | |
315 | return 0; | |
316 | } | |
317 | if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit) { | |
318 | ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); | |
319 | return 0; | |
320 | } | |
321 | ||
322 | if (form == 0) { | |
323 | if (len != 1) { | |
324 | ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); | |
325 | return 0; | |
326 | } | |
327 | ||
328 | return EC_POINT_set_to_infinity(group, point); | |
329 | } | |
330 | ||
331 | field_len = (EC_GROUP_get_degree(group) + 7) / 8; | |
332 | enc_len = | |
333 | (form == | |
334 | POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len; | |
335 | ||
336 | if (len != enc_len) { | |
337 | ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); | |
338 | return 0; | |
339 | } | |
340 | ||
341 | if (ctx == NULL) { | |
342 | ctx = new_ctx = BN_CTX_new(); | |
343 | if (ctx == NULL) | |
344 | return 0; | |
345 | } | |
346 | ||
347 | BN_CTX_start(ctx); | |
348 | x = BN_CTX_get(ctx); | |
349 | y = BN_CTX_get(ctx); | |
350 | yxi = BN_CTX_get(ctx); | |
351 | if (yxi == NULL) | |
352 | goto err; | |
353 | ||
354 | if (!BN_bin2bn(buf + 1, field_len, x)) | |
355 | goto err; | |
356 | if (BN_ucmp(x, group->field) >= 0) { | |
357 | ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); | |
358 | goto err; | |
359 | } | |
360 | ||
361 | if (form == POINT_CONVERSION_COMPRESSED) { | |
362 | if (!EC_POINT_set_compressed_coordinates_GF2m | |
363 | (group, point, x, y_bit, ctx)) | |
364 | goto err; | |
365 | } else { | |
366 | if (!BN_bin2bn(buf + 1 + field_len, field_len, y)) | |
367 | goto err; | |
368 | if (BN_ucmp(y, group->field) >= 0) { | |
369 | ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); | |
370 | goto err; | |
371 | } | |
372 | if (form == POINT_CONVERSION_HYBRID) { | |
373 | if (!group->meth->field_div(group, yxi, y, x, ctx)) | |
374 | goto err; | |
375 | if (y_bit != BN_is_odd(yxi)) { | |
376 | ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); | |
377 | goto err; | |
378 | } | |
379 | } | |
380 | ||
381 | if (!EC_POINT_set_affine_coordinates_GF2m(group, point, x, y, ctx)) | |
382 | goto err; | |
383 | } | |
384 | ||
385 | /* test required by X9.62 */ | |
68886be7 | 386 | if (EC_POINT_is_on_curve(group, point, ctx) <= 0) { |
0f113f3e MC |
387 | ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_POINT_IS_NOT_ON_CURVE); |
388 | goto err; | |
389 | } | |
390 | ||
391 | ret = 1; | |
392 | ||
84b08eee | 393 | err: |
0f113f3e | 394 | BN_CTX_end(ctx); |
23a1d5e9 | 395 | BN_CTX_free(new_ctx); |
0f113f3e MC |
396 | return ret; |
397 | } | |
84b08eee | 398 | #endif |