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0f113f3e 1/*
82eba370 2 * Copyright 1999-2018 The OpenSSL Project Authors. All Rights Reserved.
2039c421 3 *
2a7b6f39 4 * Licensed under the Apache License 2.0 (the "License"). You may not use
2039c421
RS
5 * this file except in compliance with the License. You can obtain a copy
6 * in the file LICENSE in the source distribution or at
7 * https://www.openssl.org/source/license.html
0f113f3e 8 */
a4949896 9
9347ba48
BM
10/* EME-OAEP as defined in RFC 2437 (PKCS #1 v2.0) */
11
0f113f3e
MC
12/*
13 * See Victor Shoup, "OAEP reconsidered," Nov. 2000, <URL:
14 * http://www.shoup.net/papers/oaep.ps.Z> for problems with the security
15 * proof for the original OAEP scheme, which EME-OAEP is based on. A new
16 * proof can be found in E. Fujisaki, T. Okamoto, D. Pointcheval, J. Stern,
17 * "RSA-OEAP is Still Alive!", Dec. 2000, <URL:
18 * http://eprint.iacr.org/2000/061/>. The new proof has stronger requirements
19 * for the underlying permutation: "partial-one-wayness" instead of
20 * one-wayness. For the RSA function, this is an equivalent notion.
9347ba48
BM
21 */
22
68570797 23#include "internal/constant_time_locl.h"
a4949896 24
474e469b 25#include <stdio.h>
b39fc560 26#include "internal/cryptlib.h"
474e469b 27#include <openssl/bn.h>
474e469b
RS
28#include <openssl/evp.h>
29#include <openssl/rand.h>
30#include <openssl/sha.h>
9862e9aa 31#include "rsa_locl.h"
a4949896 32
6b691a5c 33int RSA_padding_add_PKCS1_OAEP(unsigned char *to, int tlen,
0f113f3e
MC
34 const unsigned char *from, int flen,
35 const unsigned char *param, int plen)
36{
37 return RSA_padding_add_PKCS1_OAEP_mgf1(to, tlen, from, flen,
38 param, plen, NULL, NULL);
39}
271fef0e
DSH
40
41int RSA_padding_add_PKCS1_OAEP_mgf1(unsigned char *to, int tlen,
0f113f3e
MC
42 const unsigned char *from, int flen,
43 const unsigned char *param, int plen,
44 const EVP_MD *md, const EVP_MD *mgf1md)
45{
82eba370 46 int rv = 0;
0f113f3e
MC
47 int i, emlen = tlen - 1;
48 unsigned char *db, *seed;
82eba370
SL
49 unsigned char *dbmask = NULL;
50 unsigned char seedmask[EVP_MAX_MD_SIZE];
51 int mdlen, dbmask_len = 0;
0f113f3e
MC
52
53 if (md == NULL)
54 md = EVP_sha1();
55 if (mgf1md == NULL)
56 mgf1md = md;
57
58 mdlen = EVP_MD_size(md);
59
60 if (flen > emlen - 2 * mdlen - 1) {
61 RSAerr(RSA_F_RSA_PADDING_ADD_PKCS1_OAEP_MGF1,
62 RSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE);
63 return 0;
64 }
65
66 if (emlen < 2 * mdlen + 1) {
67 RSAerr(RSA_F_RSA_PADDING_ADD_PKCS1_OAEP_MGF1,
68 RSA_R_KEY_SIZE_TOO_SMALL);
69 return 0;
70 }
71
72 to[0] = 0;
73 seed = to + 1;
74 db = to + mdlen + 1;
75
76 if (!EVP_Digest((void *)param, plen, db, NULL, md, NULL))
82eba370 77 goto err;
0f113f3e
MC
78 memset(db + mdlen, 0, emlen - flen - 2 * mdlen - 1);
79 db[emlen - flen - mdlen - 1] = 0x01;
80 memcpy(db + emlen - flen - mdlen, from, (unsigned int)flen);
81 if (RAND_bytes(seed, mdlen) <= 0)
82eba370 82 goto err;
0f113f3e 83
82eba370
SL
84 dbmask_len = emlen - mdlen;
85 dbmask = OPENSSL_malloc(dbmask_len);
0f113f3e
MC
86 if (dbmask == NULL) {
87 RSAerr(RSA_F_RSA_PADDING_ADD_PKCS1_OAEP_MGF1, ERR_R_MALLOC_FAILURE);
82eba370 88 goto err;
0f113f3e
MC
89 }
90
82eba370 91 if (PKCS1_MGF1(dbmask, dbmask_len, seed, mdlen, mgf1md) < 0)
c6d215e0 92 goto err;
82eba370 93 for (i = 0; i < dbmask_len; i++)
0f113f3e
MC
94 db[i] ^= dbmask[i];
95
82eba370 96 if (PKCS1_MGF1(seedmask, mdlen, db, dbmask_len, mgf1md) < 0)
c6d215e0 97 goto err;
0f113f3e
MC
98 for (i = 0; i < mdlen; i++)
99 seed[i] ^= seedmask[i];
82eba370 100 rv = 1;
c6d215e0
BE
101
102 err:
82eba370
SL
103 OPENSSL_cleanse(seedmask, sizeof(seedmask));
104 OPENSSL_clear_free(dbmask, dbmask_len);
105 return rv;
0f113f3e 106}
a4949896 107
6b691a5c 108int RSA_padding_check_PKCS1_OAEP(unsigned char *to, int tlen,
0f113f3e
MC
109 const unsigned char *from, int flen, int num,
110 const unsigned char *param, int plen)
111{
112 return RSA_padding_check_PKCS1_OAEP_mgf1(to, tlen, from, flen, num,
113 param, plen, NULL, NULL);
114}
271fef0e
DSH
115
116int RSA_padding_check_PKCS1_OAEP_mgf1(unsigned char *to, int tlen,
0f113f3e
MC
117 const unsigned char *from, int flen,
118 int num, const unsigned char *param,
119 int plen, const EVP_MD *md,
120 const EVP_MD *mgf1md)
121{
e670db01 122 int i, dblen = 0, mlen = -1, one_index = 0, msg_index;
75f5e944 123 unsigned int good = 0, found_one_byte, mask;
0f113f3e
MC
124 const unsigned char *maskedseed, *maskeddb;
125 /*
126 * |em| is the encoded message, zero-padded to exactly |num| bytes: em =
127 * Y || maskedSeed || maskedDB
128 */
129 unsigned char *db = NULL, *em = NULL, seed[EVP_MAX_MD_SIZE],
130 phash[EVP_MAX_MD_SIZE];
131 int mdlen;
132
133 if (md == NULL)
134 md = EVP_sha1();
135 if (mgf1md == NULL)
136 mgf1md = md;
137
138 mdlen = EVP_MD_size(md);
139
140 if (tlen <= 0 || flen <= 0)
141 return -1;
142 /*
143 * |num| is the length of the modulus; |flen| is the length of the
144 * encoded message. Therefore, for any |from| that was obtained by
145 * decrypting a ciphertext, we must have |flen| <= |num|. Similarly,
146 * num < 2 * mdlen + 2 must hold for the modulus irrespective of
147 * the ciphertext, see PKCS #1 v2.2, section 7.1.2.
148 * This does not leak any side-channel information.
149 */
75f5e944
AP
150 if (num < flen || num < 2 * mdlen + 2) {
151 RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_OAEP_MGF1,
152 RSA_R_OAEP_DECODING_ERROR);
153 return -1;
154 }
0f113f3e
MC
155
156 dblen = num - mdlen - 1;
157 db = OPENSSL_malloc(dblen);
582ad5d4 158 if (db == NULL) {
0f113f3e
MC
159 RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_OAEP_MGF1, ERR_R_MALLOC_FAILURE);
160 goto cleanup;
161 }
162
75f5e944
AP
163 em = OPENSSL_malloc(num);
164 if (em == NULL) {
165 RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_OAEP_MGF1,
166 ERR_R_MALLOC_FAILURE);
167 goto cleanup;
168 }
582ad5d4 169
75f5e944
AP
170 /*
171 * Caller is encouraged to pass zero-padded message created with
172 * BN_bn2binpad. Trouble is that since we can't read out of |from|'s
173 * bounds, it's impossible to have an invariant memory access pattern
174 * in case |from| was not zero-padded in advance.
175 */
176 for (from += flen, em += num, i = 0; i < num; i++) {
177 mask = ~constant_time_is_zero(flen);
178 flen -= 1 & mask;
179 from -= 1 & mask;
180 *--em = *from & mask;
582ad5d4 181 }
75f5e944 182 from = em;
0f113f3e
MC
183
184 /*
185 * The first byte must be zero, however we must not leak if this is
186 * true. See James H. Manger, "A Chosen Ciphertext Attack on RSA
187 * Optimal Asymmetric Encryption Padding (OAEP) [...]", CRYPTO 2001).
188 */
582ad5d4 189 good = constant_time_is_zero(from[0]);
0f113f3e 190
582ad5d4
AP
191 maskedseed = from + 1;
192 maskeddb = from + 1 + mdlen;
0f113f3e
MC
193
194 if (PKCS1_MGF1(seed, mdlen, maskeddb, dblen, mgf1md))
195 goto cleanup;
196 for (i = 0; i < mdlen; i++)
197 seed[i] ^= maskedseed[i];
198
199 if (PKCS1_MGF1(db, dblen, seed, mdlen, mgf1md))
200 goto cleanup;
201 for (i = 0; i < dblen; i++)
202 db[i] ^= maskeddb[i];
203
204 if (!EVP_Digest((void *)param, plen, phash, NULL, md, NULL))
205 goto cleanup;
206
207 good &= constant_time_is_zero(CRYPTO_memcmp(db, phash, mdlen));
208
209 found_one_byte = 0;
210 for (i = mdlen; i < dblen; i++) {
211 /*
212 * Padding consists of a number of 0-bytes, followed by a 1.
213 */
214 unsigned int equals1 = constant_time_eq(db[i], 1);
215 unsigned int equals0 = constant_time_is_zero(db[i]);
216 one_index = constant_time_select_int(~found_one_byte & equals1,
217 i, one_index);
218 found_one_byte |= equals1;
219 good &= (found_one_byte | equals0);
220 }
221
222 good &= found_one_byte;
223
224 /*
225 * At this point |good| is zero unless the plaintext was valid,
226 * so plaintext-awareness ensures timing side-channels are no longer a
227 * concern.
228 */
0f113f3e
MC
229 msg_index = one_index + 1;
230 mlen = dblen - msg_index;
231
75f5e944
AP
232 /*
233 * For good measure, do this check in constant tine as well.
234 */
235 good &= constant_time_ge(tlen, mlen);
236
237 /*
238 * Even though we can't fake result's length, we can pretend copying
239 * |tlen| bytes where |mlen| bytes would be real. Last |tlen| of |dblen|
240 * bytes are viewed as circular buffer with start at |tlen|-|mlen'|,
241 * where |mlen'| is "saturated" |mlen| value. Deducing information
242 * about failure or |mlen| would take attacker's ability to observe
243 * memory access pattern with byte granularity *as it occurs*. It
244 * should be noted that failure is indistinguishable from normal
245 * operation if |tlen| is fixed by protocol.
246 */
247 tlen = constant_time_select_int(constant_time_lt(dblen, tlen), dblen, tlen);
248 msg_index = constant_time_select_int(good, msg_index, dblen - tlen);
249 mlen = dblen - msg_index;
250 for (from = db + msg_index, mask = good, i = 0; i < tlen; i++) {
251 unsigned int equals = constant_time_eq(i, mlen);
252
253 from -= dblen & equals; /* if (i == dblen) rewind */
254 mask &= mask ^ equals; /* if (i == dblen) mask = 0 */
255 to[i] = constant_time_select_8(mask, from[i], to[i]);
0f113f3e
MC
256 }
257
0f113f3e
MC
258 /*
259 * To avoid chosen ciphertext attacks, the error message should not
260 * reveal which kind of decoding error happened.
261 */
262 RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_OAEP_MGF1,
263 RSA_R_OAEP_DECODING_ERROR);
75f5e944 264 err_clear_last_constant_time(1 & good);
0f113f3e 265 cleanup:
82eba370 266 OPENSSL_cleanse(seed, sizeof(seed));
e670db01
BE
267 OPENSSL_clear_free(db, dblen);
268 OPENSSL_clear_free(em, num);
75f5e944
AP
269
270 return constant_time_select_int(good, mlen, -1);
0f113f3e 271}
a4949896 272
499fca2d 273int PKCS1_MGF1(unsigned char *mask, long len,
0f113f3e
MC
274 const unsigned char *seed, long seedlen, const EVP_MD *dgst)
275{
276 long i, outlen = 0;
277 unsigned char cnt[4];
bfb0641f 278 EVP_MD_CTX *c = EVP_MD_CTX_new();
0f113f3e
MC
279 unsigned char md[EVP_MAX_MD_SIZE];
280 int mdlen;
281 int rv = -1;
282
6e59a892
RL
283 if (c == NULL)
284 goto err;
285 mdlen = EVP_MD_size(dgst);
0f113f3e
MC
286 if (mdlen < 0)
287 goto err;
288 for (i = 0; outlen < len; i++) {
289 cnt[0] = (unsigned char)((i >> 24) & 255);
290 cnt[1] = (unsigned char)((i >> 16) & 255);
291 cnt[2] = (unsigned char)((i >> 8)) & 255;
292 cnt[3] = (unsigned char)(i & 255);
6e59a892
RL
293 if (!EVP_DigestInit_ex(c, dgst, NULL)
294 || !EVP_DigestUpdate(c, seed, seedlen)
295 || !EVP_DigestUpdate(c, cnt, 4))
0f113f3e
MC
296 goto err;
297 if (outlen + mdlen <= len) {
6e59a892 298 if (!EVP_DigestFinal_ex(c, mask + outlen, NULL))
0f113f3e
MC
299 goto err;
300 outlen += mdlen;
301 } else {
6e59a892 302 if (!EVP_DigestFinal_ex(c, md, NULL))
0f113f3e
MC
303 goto err;
304 memcpy(mask + outlen, md, len - outlen);
305 outlen = len;
306 }
307 }
308 rv = 0;
309 err:
82eba370 310 OPENSSL_cleanse(md, sizeof(md));
bfb0641f 311 EVP_MD_CTX_free(c);
0f113f3e
MC
312 return rv;
313}