2 * Copyright 1999-2016 The OpenSSL Project Authors. All Rights Reserved.
4 * Licensed under the OpenSSL license (the "License"). You may not use
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
10 /* EME-OAEP as defined in RFC 2437 (PKCS #1 v2.0) */
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.
23 #include "internal/constant_time_locl.h"
26 #include "internal/cryptlib.h"
27 #include <openssl/bn.h>
28 #include <openssl/evp.h>
29 #include <openssl/rand.h>
30 #include <openssl/sha.h>
33 int RSA_padding_add_PKCS1_OAEP(unsigned char *to
, int tlen
,
34 const unsigned char *from
, int flen
,
35 const unsigned char *param
, int plen
)
37 return RSA_padding_add_PKCS1_OAEP_mgf1(to
, tlen
, from
, flen
,
38 param
, plen
, NULL
, NULL
);
41 int RSA_padding_add_PKCS1_OAEP_mgf1(unsigned char *to
, int tlen
,
42 const unsigned char *from
, int flen
,
43 const unsigned char *param
, int plen
,
44 const EVP_MD
*md
, const EVP_MD
*mgf1md
)
46 int i
, emlen
= tlen
- 1;
47 unsigned char *db
, *seed
;
48 unsigned char *dbmask
, seedmask
[EVP_MAX_MD_SIZE
];
56 mdlen
= EVP_MD_size(md
);
58 if (flen
> emlen
- 2 * mdlen
- 1) {
59 RSAerr(RSA_F_RSA_PADDING_ADD_PKCS1_OAEP_MGF1
,
60 RSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE
);
64 if (emlen
< 2 * mdlen
+ 1) {
65 RSAerr(RSA_F_RSA_PADDING_ADD_PKCS1_OAEP_MGF1
,
66 RSA_R_KEY_SIZE_TOO_SMALL
);
74 if (!EVP_Digest((void *)param
, plen
, db
, NULL
, md
, NULL
))
76 memset(db
+ mdlen
, 0, emlen
- flen
- 2 * mdlen
- 1);
77 db
[emlen
- flen
- mdlen
- 1] = 0x01;
78 memcpy(db
+ emlen
- flen
- mdlen
, from
, (unsigned int)flen
);
79 if (RAND_bytes(seed
, mdlen
) <= 0)
83 "\xaa\xfd\x12\xf6\x59\xca\xe6\x34\x89\xb4\x79\xe5\x07\x6d\xde\xc2\xf0\x6c\xb5\x8f",
87 dbmask
= OPENSSL_malloc(emlen
- mdlen
);
89 RSAerr(RSA_F_RSA_PADDING_ADD_PKCS1_OAEP_MGF1
, ERR_R_MALLOC_FAILURE
);
93 if (PKCS1_MGF1(dbmask
, emlen
- mdlen
, seed
, mdlen
, mgf1md
) < 0)
95 for (i
= 0; i
< emlen
- mdlen
; i
++)
98 if (PKCS1_MGF1(seedmask
, mdlen
, db
, emlen
- mdlen
, mgf1md
) < 0)
100 for (i
= 0; i
< mdlen
; i
++)
101 seed
[i
] ^= seedmask
[i
];
103 OPENSSL_free(dbmask
);
107 int RSA_padding_check_PKCS1_OAEP(unsigned char *to
, int tlen
,
108 const unsigned char *from
, int flen
, int num
,
109 const unsigned char *param
, int plen
)
111 return RSA_padding_check_PKCS1_OAEP_mgf1(to
, tlen
, from
, flen
, num
,
112 param
, plen
, NULL
, NULL
);
115 int RSA_padding_check_PKCS1_OAEP_mgf1(unsigned char *to
, int tlen
,
116 const unsigned char *from
, int flen
,
117 int num
, const unsigned char *param
,
118 int plen
, const EVP_MD
*md
,
119 const EVP_MD
*mgf1md
)
121 int i
, dblen
, mlen
= -1, one_index
= 0, msg_index
;
122 unsigned int good
, found_one_byte
;
123 const unsigned char *maskedseed
, *maskeddb
;
125 * |em| is the encoded message, zero-padded to exactly |num| bytes: em =
126 * Y || maskedSeed || maskedDB
128 unsigned char *db
= NULL
, *em
= NULL
, seed
[EVP_MAX_MD_SIZE
],
129 phash
[EVP_MAX_MD_SIZE
];
137 mdlen
= EVP_MD_size(md
);
139 if (tlen
<= 0 || flen
<= 0)
142 * |num| is the length of the modulus; |flen| is the length of the
143 * encoded message. Therefore, for any |from| that was obtained by
144 * decrypting a ciphertext, we must have |flen| <= |num|. Similarly,
145 * num < 2 * mdlen + 2 must hold for the modulus irrespective of
146 * the ciphertext, see PKCS #1 v2.2, section 7.1.2.
147 * This does not leak any side-channel information.
149 if (num
< flen
|| num
< 2 * mdlen
+ 2)
152 dblen
= num
- mdlen
- 1;
153 db
= OPENSSL_malloc(dblen
);
154 em
= OPENSSL_malloc(num
);
155 if (db
== NULL
|| em
== NULL
) {
156 RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_OAEP_MGF1
, ERR_R_MALLOC_FAILURE
);
161 * Always do this zero-padding copy (even when num == flen) to avoid
162 * leaking that information. The copy still leaks some side-channel
163 * information, but it's impossible to have a fixed memory access
164 * pattern since we can't read out of the bounds of |from|.
166 * TODO(emilia): Consider porting BN_bn2bin_padded from BoringSSL.
169 memcpy(em
+ num
- flen
, from
, flen
);
172 * The first byte must be zero, however we must not leak if this is
173 * true. See James H. Manger, "A Chosen Ciphertext Attack on RSA
174 * Optimal Asymmetric Encryption Padding (OAEP) [...]", CRYPTO 2001).
176 good
= constant_time_is_zero(em
[0]);
179 maskeddb
= em
+ 1 + mdlen
;
181 if (PKCS1_MGF1(seed
, mdlen
, maskeddb
, dblen
, mgf1md
))
183 for (i
= 0; i
< mdlen
; i
++)
184 seed
[i
] ^= maskedseed
[i
];
186 if (PKCS1_MGF1(db
, dblen
, seed
, mdlen
, mgf1md
))
188 for (i
= 0; i
< dblen
; i
++)
189 db
[i
] ^= maskeddb
[i
];
191 if (!EVP_Digest((void *)param
, plen
, phash
, NULL
, md
, NULL
))
194 good
&= constant_time_is_zero(CRYPTO_memcmp(db
, phash
, mdlen
));
197 for (i
= mdlen
; i
< dblen
; i
++) {
199 * Padding consists of a number of 0-bytes, followed by a 1.
201 unsigned int equals1
= constant_time_eq(db
[i
], 1);
202 unsigned int equals0
= constant_time_is_zero(db
[i
]);
203 one_index
= constant_time_select_int(~found_one_byte
& equals1
,
205 found_one_byte
|= equals1
;
206 good
&= (found_one_byte
| equals0
);
209 good
&= found_one_byte
;
212 * At this point |good| is zero unless the plaintext was valid,
213 * so plaintext-awareness ensures timing side-channels are no longer a
219 msg_index
= one_index
+ 1;
220 mlen
= dblen
- msg_index
;
223 RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_OAEP_MGF1
, RSA_R_DATA_TOO_LARGE
);
226 memcpy(to
, db
+ msg_index
, mlen
);
232 * To avoid chosen ciphertext attacks, the error message should not
233 * reveal which kind of decoding error happened.
235 RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_OAEP_MGF1
,
236 RSA_R_OAEP_DECODING_ERROR
);
243 int PKCS1_MGF1(unsigned char *mask
, long len
,
244 const unsigned char *seed
, long seedlen
, const EVP_MD
*dgst
)
247 unsigned char cnt
[4];
248 EVP_MD_CTX
*c
= EVP_MD_CTX_new();
249 unsigned char md
[EVP_MAX_MD_SIZE
];
255 mdlen
= EVP_MD_size(dgst
);
258 for (i
= 0; outlen
< len
; i
++) {
259 cnt
[0] = (unsigned char)((i
>> 24) & 255);
260 cnt
[1] = (unsigned char)((i
>> 16) & 255);
261 cnt
[2] = (unsigned char)((i
>> 8)) & 255;
262 cnt
[3] = (unsigned char)(i
& 255);
263 if (!EVP_DigestInit_ex(c
, dgst
, NULL
)
264 || !EVP_DigestUpdate(c
, seed
, seedlen
)
265 || !EVP_DigestUpdate(c
, cnt
, 4))
267 if (outlen
+ mdlen
<= len
) {
268 if (!EVP_DigestFinal_ex(c
, mask
+ outlen
, NULL
))
272 if (!EVP_DigestFinal_ex(c
, md
, NULL
))
274 memcpy(mask
+ outlen
, md
, len
- outlen
);