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aa6bb135 1/*
33388b44 2 * Copyright 2011-2020 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
579422c8
P
11/*
12 * ECDSA low level APIs are deprecated for public use, but still ok for
13 * internal use.
14 */
15#include "internal/deprecated.h"
16
84b08eee
DSH
17#include <openssl/err.h>
18
706457b7 19#include "ec_local.h"
84b08eee
DSH
20
21#ifndef OPENSSL_NO_EC2M
22
3a83462d
MC
23/*-
24 * Calculates and sets the affine coordinates of an EC_POINT from the given
0f113f3e 25 * compressed coordinates. Uses algorithm 2.3.4 of SEC 1.
84b08eee
DSH
26 * Note that the simple implementation only uses affine coordinates.
27 *
28 * The method is from the following publication:
0f113f3e 29 *
84b08eee
DSH
30 * Harper, Menezes, Vanstone:
31 * "Public-Key Cryptosystems with Very Small Key Lengths",
32 * EUROCRYPT '92, Springer-Verlag LNCS 658,
33 * published February 1993
34 *
35 * US Patents 6,141,420 and 6,618,483 (Vanstone, Mullin, Agnew) describe
36 * the same method, but claim no priority date earlier than July 29, 1994
37 * (and additionally fail to cite the EUROCRYPT '92 publication as prior art).
38 */
0f113f3e
MC
39int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *group,
40 EC_POINT *point,
41 const BIGNUM *x_, int y_bit,
42 BN_CTX *ctx)
43{
0f113f3e
MC
44 BIGNUM *tmp, *x, *y, *z;
45 int ret = 0, z0;
a9612d6c
MC
46#ifndef FIPS_MODE
47 BN_CTX *new_ctx = NULL;
0f113f3e
MC
48
49 /* clear error queue */
50 ERR_clear_error();
51
52 if (ctx == NULL) {
53 ctx = new_ctx = BN_CTX_new();
54 if (ctx == NULL)
55 return 0;
56 }
a9612d6c 57#endif
0f113f3e
MC
58
59 y_bit = (y_bit != 0) ? 1 : 0;
60
61 BN_CTX_start(ctx);
62 tmp = BN_CTX_get(ctx);
63 x = BN_CTX_get(ctx);
64 y = BN_CTX_get(ctx);
65 z = BN_CTX_get(ctx);
66 if (z == NULL)
67 goto err;
68
69 if (!BN_GF2m_mod_arr(x, x_, group->poly))
70 goto err;
71 if (BN_is_zero(x)) {
72 if (!BN_GF2m_mod_sqrt_arr(y, group->b, group->poly, ctx))
73 goto err;
74 } else {
75 if (!group->meth->field_sqr(group, tmp, x, ctx))
76 goto err;
77 if (!group->meth->field_div(group, tmp, group->b, tmp, ctx))
78 goto err;
79 if (!BN_GF2m_add(tmp, group->a, tmp))
80 goto err;
81 if (!BN_GF2m_add(tmp, x, tmp))
82 goto err;
83 if (!BN_GF2m_mod_solve_quad_arr(z, tmp, group->poly, ctx)) {
a9612d6c 84#ifndef FIPS_MODE
0f113f3e
MC
85 unsigned long err = ERR_peek_last_error();
86
87 if (ERR_GET_LIB(err) == ERR_LIB_BN
88 && ERR_GET_REASON(err) == BN_R_NO_SOLUTION) {
89 ERR_clear_error();
90 ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES,
91 EC_R_INVALID_COMPRESSED_POINT);
92 } else
a9612d6c
MC
93#endif
94 {
0f113f3e
MC
95 ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES,
96 ERR_R_BN_LIB);
a9612d6c 97 }
0f113f3e
MC
98 goto err;
99 }
100 z0 = (BN_is_odd(z)) ? 1 : 0;
101 if (!group->meth->field_mul(group, y, x, z, ctx))
102 goto err;
103 if (z0 != y_bit) {
104 if (!BN_GF2m_add(y, y, x))
105 goto err;
106 }
107 }
108
9cc570d4 109 if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx))
0f113f3e
MC
110 goto err;
111
112 ret = 1;
84b08eee
DSH
113
114 err:
0f113f3e 115 BN_CTX_end(ctx);
a9612d6c 116#ifndef FIPS_MODE
23a1d5e9 117 BN_CTX_free(new_ctx);
a9612d6c 118#endif
0f113f3e
MC
119 return ret;
120}
121
122/*
123 * Converts an EC_POINT to an octet string. If buf is NULL, the encoded
124 * length will be returned. If the length len of buf is smaller than required
125 * an error will be returned.
84b08eee 126 */
0f113f3e
MC
127size_t ec_GF2m_simple_point2oct(const EC_GROUP *group, const EC_POINT *point,
128 point_conversion_form_t form,
129 unsigned char *buf, size_t len, BN_CTX *ctx)
130{
131 size_t ret;
0f113f3e
MC
132 int used_ctx = 0;
133 BIGNUM *x, *y, *yxi;
134 size_t field_len, i, skip;
a9612d6c
MC
135#ifndef FIPS_MODE
136 BN_CTX *new_ctx = NULL;
137#endif
0f113f3e
MC
138
139 if ((form != POINT_CONVERSION_COMPRESSED)
140 && (form != POINT_CONVERSION_UNCOMPRESSED)
141 && (form != POINT_CONVERSION_HYBRID)) {
142 ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_INVALID_FORM);
143 goto err;
144 }
145
146 if (EC_POINT_is_at_infinity(group, point)) {
147 /* encodes to a single 0 octet */
148 if (buf != NULL) {
149 if (len < 1) {
150 ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL);
151 return 0;
152 }
153 buf[0] = 0;
154 }
155 return 1;
156 }
157
158 /* ret := required output buffer length */
159 field_len = (EC_GROUP_get_degree(group) + 7) / 8;
160 ret =
161 (form ==
162 POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len;
163
164 /* if 'buf' is NULL, just return required length */
165 if (buf != NULL) {
166 if (len < ret) {
167 ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL);
168 goto err;
169 }
170
a9612d6c 171#ifndef FIPS_MODE
0f113f3e
MC
172 if (ctx == NULL) {
173 ctx = new_ctx = BN_CTX_new();
174 if (ctx == NULL)
175 return 0;
176 }
a9612d6c 177#endif
0f113f3e
MC
178
179 BN_CTX_start(ctx);
180 used_ctx = 1;
181 x = BN_CTX_get(ctx);
182 y = BN_CTX_get(ctx);
183 yxi = BN_CTX_get(ctx);
184 if (yxi == NULL)
185 goto err;
186
9cc570d4 187 if (!EC_POINT_get_affine_coordinates(group, point, x, y, ctx))
0f113f3e
MC
188 goto err;
189
190 buf[0] = form;
191 if ((form != POINT_CONVERSION_UNCOMPRESSED) && !BN_is_zero(x)) {
192 if (!group->meth->field_div(group, yxi, y, x, ctx))
193 goto err;
194 if (BN_is_odd(yxi))
195 buf[0]++;
196 }
197
198 i = 1;
199
200 skip = field_len - BN_num_bytes(x);
201 if (skip > field_len) {
202 ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
203 goto err;
204 }
205 while (skip > 0) {
206 buf[i++] = 0;
207 skip--;
208 }
209 skip = BN_bn2bin(x, buf + i);
210 i += skip;
211 if (i != 1 + field_len) {
212 ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
213 goto err;
214 }
215
216 if (form == POINT_CONVERSION_UNCOMPRESSED
217 || form == POINT_CONVERSION_HYBRID) {
218 skip = field_len - BN_num_bytes(y);
219 if (skip > field_len) {
220 ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
221 goto err;
222 }
223 while (skip > 0) {
224 buf[i++] = 0;
225 skip--;
226 }
227 skip = BN_bn2bin(y, buf + i);
228 i += skip;
229 }
230
231 if (i != ret) {
232 ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
233 goto err;
234 }
235 }
236
237 if (used_ctx)
238 BN_CTX_end(ctx);
a9612d6c 239#ifndef FIPS_MODE
23a1d5e9 240 BN_CTX_free(new_ctx);
a9612d6c 241#endif
0f113f3e 242 return ret;
84b08eee
DSH
243
244 err:
0f113f3e
MC
245 if (used_ctx)
246 BN_CTX_end(ctx);
a9612d6c 247#ifndef FIPS_MODE
23a1d5e9 248 BN_CTX_free(new_ctx);
a9612d6c 249#endif
0f113f3e
MC
250 return 0;
251}
252
253/*
254 * Converts an octet string representation to an EC_POINT. Note that the
255 * simple implementation only uses affine coordinates.
84b08eee
DSH
256 */
257int ec_GF2m_simple_oct2point(const EC_GROUP *group, EC_POINT *point,
0f113f3e
MC
258 const unsigned char *buf, size_t len,
259 BN_CTX *ctx)
260{
261 point_conversion_form_t form;
cad8347b 262 int y_bit, m;
0f113f3e
MC
263 BIGNUM *x, *y, *yxi;
264 size_t field_len, enc_len;
265 int ret = 0;
a9612d6c
MC
266#ifndef FIPS_MODE
267 BN_CTX *new_ctx = NULL;
268#endif
0f113f3e
MC
269
270 if (len == 0) {
271 ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_BUFFER_TOO_SMALL);
272 return 0;
273 }
274 form = buf[0];
275 y_bit = form & 1;
276 form = form & ~1U;
277 if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED)
278 && (form != POINT_CONVERSION_UNCOMPRESSED)
279 && (form != POINT_CONVERSION_HYBRID)) {
280 ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
281 return 0;
282 }
283 if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit) {
284 ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
285 return 0;
286 }
287
288 if (form == 0) {
289 if (len != 1) {
290 ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
291 return 0;
292 }
293
294 return EC_POINT_set_to_infinity(group, point);
295 }
296
cad8347b
SL
297 m = EC_GROUP_get_degree(group);
298 field_len = (m + 7) / 8;
0f113f3e
MC
299 enc_len =
300 (form ==
301 POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len;
302
303 if (len != enc_len) {
304 ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
305 return 0;
306 }
307
a9612d6c 308#ifndef FIPS_MODE
0f113f3e
MC
309 if (ctx == NULL) {
310 ctx = new_ctx = BN_CTX_new();
311 if (ctx == NULL)
312 return 0;
313 }
a9612d6c 314#endif
0f113f3e
MC
315
316 BN_CTX_start(ctx);
317 x = BN_CTX_get(ctx);
318 y = BN_CTX_get(ctx);
319 yxi = BN_CTX_get(ctx);
320 if (yxi == NULL)
321 goto err;
322
323 if (!BN_bin2bn(buf + 1, field_len, x))
324 goto err;
cad8347b 325 if (BN_num_bits(x) > m) {
0f113f3e
MC
326 ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
327 goto err;
328 }
329
330 if (form == POINT_CONVERSION_COMPRESSED) {
9cc570d4 331 if (!EC_POINT_set_compressed_coordinates(group, point, x, y_bit, ctx))
0f113f3e
MC
332 goto err;
333 } else {
334 if (!BN_bin2bn(buf + 1 + field_len, field_len, y))
335 goto err;
cad8347b 336 if (BN_num_bits(y) > m) {
0f113f3e
MC
337 ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
338 goto err;
339 }
340 if (form == POINT_CONVERSION_HYBRID) {
341 if (!group->meth->field_div(group, yxi, y, x, ctx))
342 goto err;
343 if (y_bit != BN_is_odd(yxi)) {
344 ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
345 goto err;
346 }
347 }
348
1e2012b7 349 /*
9cc570d4 350 * EC_POINT_set_affine_coordinates is responsible for checking that
1e2012b7
EK
351 * the point is on the curve.
352 */
9cc570d4 353 if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx))
0f113f3e
MC
354 goto err;
355 }
356
0f113f3e
MC
357 ret = 1;
358
84b08eee 359 err:
0f113f3e 360 BN_CTX_end(ctx);
a9612d6c 361#ifndef FIPS_MODE
23a1d5e9 362 BN_CTX_free(new_ctx);
a9612d6c 363#endif
0f113f3e
MC
364 return ret;
365}
84b08eee 366#endif