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aa6bb135 | 1 | /* |
1212818e | 2 | * Copyright 2011-2018 The OpenSSL Project Authors. All Rights Reserved. |
aa8f3d76 | 3 | * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved |
aa6bb135 | 4 | * |
a7f182b7 | 5 | * Licensed under the Apache License 2.0 (the "License"). You may not use |
aa6bb135 RS |
6 | * this file except in compliance with the License. You can obtain a copy |
7 | * in the file LICENSE in the source distribution or at | |
8 | * https://www.openssl.org/source/license.html | |
9 | */ | |
10 | ||
84b08eee DSH |
11 | #include <openssl/err.h> |
12 | ||
13 | #include "ec_lcl.h" | |
14 | ||
15 | #ifndef OPENSSL_NO_EC2M | |
16 | ||
3a83462d MC |
17 | /*- |
18 | * Calculates and sets the affine coordinates of an EC_POINT from the given | |
0f113f3e | 19 | * compressed coordinates. Uses algorithm 2.3.4 of SEC 1. |
84b08eee DSH |
20 | * Note that the simple implementation only uses affine coordinates. |
21 | * | |
22 | * The method is from the following publication: | |
0f113f3e | 23 | * |
84b08eee DSH |
24 | * Harper, Menezes, Vanstone: |
25 | * "Public-Key Cryptosystems with Very Small Key Lengths", | |
26 | * EUROCRYPT '92, Springer-Verlag LNCS 658, | |
27 | * published February 1993 | |
28 | * | |
29 | * US Patents 6,141,420 and 6,618,483 (Vanstone, Mullin, Agnew) describe | |
30 | * the same method, but claim no priority date earlier than July 29, 1994 | |
31 | * (and additionally fail to cite the EUROCRYPT '92 publication as prior art). | |
32 | */ | |
0f113f3e MC |
33 | int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *group, |
34 | EC_POINT *point, | |
35 | const BIGNUM *x_, int y_bit, | |
36 | BN_CTX *ctx) | |
37 | { | |
0f113f3e MC |
38 | BIGNUM *tmp, *x, *y, *z; |
39 | int ret = 0, z0; | |
a9612d6c MC |
40 | #ifndef FIPS_MODE |
41 | BN_CTX *new_ctx = NULL; | |
0f113f3e MC |
42 | |
43 | /* clear error queue */ | |
44 | ERR_clear_error(); | |
45 | ||
46 | if (ctx == NULL) { | |
47 | ctx = new_ctx = BN_CTX_new(); | |
48 | if (ctx == NULL) | |
49 | return 0; | |
50 | } | |
a9612d6c | 51 | #endif |
0f113f3e MC |
52 | |
53 | y_bit = (y_bit != 0) ? 1 : 0; | |
54 | ||
55 | BN_CTX_start(ctx); | |
56 | tmp = BN_CTX_get(ctx); | |
57 | x = BN_CTX_get(ctx); | |
58 | y = BN_CTX_get(ctx); | |
59 | z = BN_CTX_get(ctx); | |
60 | if (z == NULL) | |
61 | goto err; | |
62 | ||
63 | if (!BN_GF2m_mod_arr(x, x_, group->poly)) | |
64 | goto err; | |
65 | if (BN_is_zero(x)) { | |
66 | if (!BN_GF2m_mod_sqrt_arr(y, group->b, group->poly, ctx)) | |
67 | goto err; | |
68 | } else { | |
69 | if (!group->meth->field_sqr(group, tmp, x, ctx)) | |
70 | goto err; | |
71 | if (!group->meth->field_div(group, tmp, group->b, tmp, ctx)) | |
72 | goto err; | |
73 | if (!BN_GF2m_add(tmp, group->a, tmp)) | |
74 | goto err; | |
75 | if (!BN_GF2m_add(tmp, x, tmp)) | |
76 | goto err; | |
77 | if (!BN_GF2m_mod_solve_quad_arr(z, tmp, group->poly, ctx)) { | |
a9612d6c | 78 | #ifndef FIPS_MODE |
0f113f3e MC |
79 | unsigned long err = ERR_peek_last_error(); |
80 | ||
81 | if (ERR_GET_LIB(err) == ERR_LIB_BN | |
82 | && ERR_GET_REASON(err) == BN_R_NO_SOLUTION) { | |
83 | ERR_clear_error(); | |
84 | ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES, | |
85 | EC_R_INVALID_COMPRESSED_POINT); | |
86 | } else | |
a9612d6c MC |
87 | #endif |
88 | { | |
0f113f3e MC |
89 | ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES, |
90 | ERR_R_BN_LIB); | |
a9612d6c | 91 | } |
0f113f3e MC |
92 | goto err; |
93 | } | |
94 | z0 = (BN_is_odd(z)) ? 1 : 0; | |
95 | if (!group->meth->field_mul(group, y, x, z, ctx)) | |
96 | goto err; | |
97 | if (z0 != y_bit) { | |
98 | if (!BN_GF2m_add(y, y, x)) | |
99 | goto err; | |
100 | } | |
101 | } | |
102 | ||
9cc570d4 | 103 | if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx)) |
0f113f3e MC |
104 | goto err; |
105 | ||
106 | ret = 1; | |
84b08eee DSH |
107 | |
108 | err: | |
0f113f3e | 109 | BN_CTX_end(ctx); |
a9612d6c | 110 | #ifndef FIPS_MODE |
23a1d5e9 | 111 | BN_CTX_free(new_ctx); |
a9612d6c | 112 | #endif |
0f113f3e MC |
113 | return ret; |
114 | } | |
115 | ||
116 | /* | |
117 | * Converts an EC_POINT to an octet string. If buf is NULL, the encoded | |
118 | * length will be returned. If the length len of buf is smaller than required | |
119 | * an error will be returned. | |
84b08eee | 120 | */ |
0f113f3e MC |
121 | size_t ec_GF2m_simple_point2oct(const EC_GROUP *group, const EC_POINT *point, |
122 | point_conversion_form_t form, | |
123 | unsigned char *buf, size_t len, BN_CTX *ctx) | |
124 | { | |
125 | size_t ret; | |
0f113f3e MC |
126 | int used_ctx = 0; |
127 | BIGNUM *x, *y, *yxi; | |
128 | size_t field_len, i, skip; | |
a9612d6c MC |
129 | #ifndef FIPS_MODE |
130 | BN_CTX *new_ctx = NULL; | |
131 | #endif | |
0f113f3e MC |
132 | |
133 | if ((form != POINT_CONVERSION_COMPRESSED) | |
134 | && (form != POINT_CONVERSION_UNCOMPRESSED) | |
135 | && (form != POINT_CONVERSION_HYBRID)) { | |
136 | ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_INVALID_FORM); | |
137 | goto err; | |
138 | } | |
139 | ||
140 | if (EC_POINT_is_at_infinity(group, point)) { | |
141 | /* encodes to a single 0 octet */ | |
142 | if (buf != NULL) { | |
143 | if (len < 1) { | |
144 | ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL); | |
145 | return 0; | |
146 | } | |
147 | buf[0] = 0; | |
148 | } | |
149 | return 1; | |
150 | } | |
151 | ||
152 | /* ret := required output buffer length */ | |
153 | field_len = (EC_GROUP_get_degree(group) + 7) / 8; | |
154 | ret = | |
155 | (form == | |
156 | POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len; | |
157 | ||
158 | /* if 'buf' is NULL, just return required length */ | |
159 | if (buf != NULL) { | |
160 | if (len < ret) { | |
161 | ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL); | |
162 | goto err; | |
163 | } | |
164 | ||
a9612d6c | 165 | #ifndef FIPS_MODE |
0f113f3e MC |
166 | if (ctx == NULL) { |
167 | ctx = new_ctx = BN_CTX_new(); | |
168 | if (ctx == NULL) | |
169 | return 0; | |
170 | } | |
a9612d6c | 171 | #endif |
0f113f3e MC |
172 | |
173 | BN_CTX_start(ctx); | |
174 | used_ctx = 1; | |
175 | x = BN_CTX_get(ctx); | |
176 | y = BN_CTX_get(ctx); | |
177 | yxi = BN_CTX_get(ctx); | |
178 | if (yxi == NULL) | |
179 | goto err; | |
180 | ||
9cc570d4 | 181 | if (!EC_POINT_get_affine_coordinates(group, point, x, y, ctx)) |
0f113f3e MC |
182 | goto err; |
183 | ||
184 | buf[0] = form; | |
185 | if ((form != POINT_CONVERSION_UNCOMPRESSED) && !BN_is_zero(x)) { | |
186 | if (!group->meth->field_div(group, yxi, y, x, ctx)) | |
187 | goto err; | |
188 | if (BN_is_odd(yxi)) | |
189 | buf[0]++; | |
190 | } | |
191 | ||
192 | i = 1; | |
193 | ||
194 | skip = field_len - BN_num_bytes(x); | |
195 | if (skip > field_len) { | |
196 | ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); | |
197 | goto err; | |
198 | } | |
199 | while (skip > 0) { | |
200 | buf[i++] = 0; | |
201 | skip--; | |
202 | } | |
203 | skip = BN_bn2bin(x, buf + i); | |
204 | i += skip; | |
205 | if (i != 1 + field_len) { | |
206 | ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); | |
207 | goto err; | |
208 | } | |
209 | ||
210 | if (form == POINT_CONVERSION_UNCOMPRESSED | |
211 | || form == POINT_CONVERSION_HYBRID) { | |
212 | skip = field_len - BN_num_bytes(y); | |
213 | if (skip > field_len) { | |
214 | ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); | |
215 | goto err; | |
216 | } | |
217 | while (skip > 0) { | |
218 | buf[i++] = 0; | |
219 | skip--; | |
220 | } | |
221 | skip = BN_bn2bin(y, buf + i); | |
222 | i += skip; | |
223 | } | |
224 | ||
225 | if (i != ret) { | |
226 | ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); | |
227 | goto err; | |
228 | } | |
229 | } | |
230 | ||
231 | if (used_ctx) | |
232 | BN_CTX_end(ctx); | |
a9612d6c | 233 | #ifndef FIPS_MODE |
23a1d5e9 | 234 | BN_CTX_free(new_ctx); |
a9612d6c | 235 | #endif |
0f113f3e | 236 | return ret; |
84b08eee DSH |
237 | |
238 | err: | |
0f113f3e MC |
239 | if (used_ctx) |
240 | BN_CTX_end(ctx); | |
a9612d6c | 241 | #ifndef FIPS_MODE |
23a1d5e9 | 242 | BN_CTX_free(new_ctx); |
a9612d6c | 243 | #endif |
0f113f3e MC |
244 | return 0; |
245 | } | |
246 | ||
247 | /* | |
248 | * Converts an octet string representation to an EC_POINT. Note that the | |
249 | * simple implementation only uses affine coordinates. | |
84b08eee DSH |
250 | */ |
251 | int ec_GF2m_simple_oct2point(const EC_GROUP *group, EC_POINT *point, | |
0f113f3e MC |
252 | const unsigned char *buf, size_t len, |
253 | BN_CTX *ctx) | |
254 | { | |
255 | point_conversion_form_t form; | |
cad8347b | 256 | int y_bit, m; |
0f113f3e MC |
257 | BIGNUM *x, *y, *yxi; |
258 | size_t field_len, enc_len; | |
259 | int ret = 0; | |
a9612d6c MC |
260 | #ifndef FIPS_MODE |
261 | BN_CTX *new_ctx = NULL; | |
262 | #endif | |
0f113f3e MC |
263 | |
264 | if (len == 0) { | |
265 | ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_BUFFER_TOO_SMALL); | |
266 | return 0; | |
267 | } | |
268 | form = buf[0]; | |
269 | y_bit = form & 1; | |
270 | form = form & ~1U; | |
271 | if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED) | |
272 | && (form != POINT_CONVERSION_UNCOMPRESSED) | |
273 | && (form != POINT_CONVERSION_HYBRID)) { | |
274 | ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); | |
275 | return 0; | |
276 | } | |
277 | if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit) { | |
278 | ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); | |
279 | return 0; | |
280 | } | |
281 | ||
282 | if (form == 0) { | |
283 | if (len != 1) { | |
284 | ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); | |
285 | return 0; | |
286 | } | |
287 | ||
288 | return EC_POINT_set_to_infinity(group, point); | |
289 | } | |
290 | ||
cad8347b SL |
291 | m = EC_GROUP_get_degree(group); |
292 | field_len = (m + 7) / 8; | |
0f113f3e MC |
293 | enc_len = |
294 | (form == | |
295 | POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len; | |
296 | ||
297 | if (len != enc_len) { | |
298 | ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); | |
299 | return 0; | |
300 | } | |
301 | ||
a9612d6c | 302 | #ifndef FIPS_MODE |
0f113f3e MC |
303 | if (ctx == NULL) { |
304 | ctx = new_ctx = BN_CTX_new(); | |
305 | if (ctx == NULL) | |
306 | return 0; | |
307 | } | |
a9612d6c | 308 | #endif |
0f113f3e MC |
309 | |
310 | BN_CTX_start(ctx); | |
311 | x = BN_CTX_get(ctx); | |
312 | y = BN_CTX_get(ctx); | |
313 | yxi = BN_CTX_get(ctx); | |
314 | if (yxi == NULL) | |
315 | goto err; | |
316 | ||
317 | if (!BN_bin2bn(buf + 1, field_len, x)) | |
318 | goto err; | |
cad8347b | 319 | if (BN_num_bits(x) > m) { |
0f113f3e MC |
320 | ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); |
321 | goto err; | |
322 | } | |
323 | ||
324 | if (form == POINT_CONVERSION_COMPRESSED) { | |
9cc570d4 | 325 | if (!EC_POINT_set_compressed_coordinates(group, point, x, y_bit, ctx)) |
0f113f3e MC |
326 | goto err; |
327 | } else { | |
328 | if (!BN_bin2bn(buf + 1 + field_len, field_len, y)) | |
329 | goto err; | |
cad8347b | 330 | if (BN_num_bits(y) > m) { |
0f113f3e MC |
331 | ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); |
332 | goto err; | |
333 | } | |
334 | if (form == POINT_CONVERSION_HYBRID) { | |
335 | if (!group->meth->field_div(group, yxi, y, x, ctx)) | |
336 | goto err; | |
337 | if (y_bit != BN_is_odd(yxi)) { | |
338 | ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); | |
339 | goto err; | |
340 | } | |
341 | } | |
342 | ||
1e2012b7 | 343 | /* |
9cc570d4 | 344 | * EC_POINT_set_affine_coordinates is responsible for checking that |
1e2012b7 EK |
345 | * the point is on the curve. |
346 | */ | |
9cc570d4 | 347 | if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx)) |
0f113f3e MC |
348 | goto err; |
349 | } | |
350 | ||
0f113f3e MC |
351 | ret = 1; |
352 | ||
84b08eee | 353 | err: |
0f113f3e | 354 | BN_CTX_end(ctx); |
a9612d6c | 355 | #ifndef FIPS_MODE |
23a1d5e9 | 356 | BN_CTX_free(new_ctx); |
a9612d6c | 357 | #endif |
0f113f3e MC |
358 | return ret; |
359 | } | |
84b08eee | 360 | #endif |