2 * Copyright 1999-2020 The OpenSSL Project Authors. All Rights Reserved.
4 * Licensed under the Apache License 2.0 (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.
24 * RSA low level APIs are deprecated for public use, but still ok for
27 #include "internal/deprecated.h"
29 #include "internal/constant_time.h"
32 #include "internal/cryptlib.h"
33 #include <openssl/bn.h>
34 #include <openssl/evp.h>
35 #include <openssl/rand.h>
36 #include <openssl/sha.h>
37 #include "rsa_local.h"
39 int RSA_padding_add_PKCS1_OAEP(unsigned char *to
, int tlen
,
40 const unsigned char *from
, int flen
,
41 const unsigned char *param
, int plen
)
43 return rsa_padding_add_PKCS1_OAEP_mgf1_with_libctx(NULL
, to
, tlen
, from
,
44 flen
, param
, plen
, NULL
,
49 * Perform ihe padding as per NIST 800-56B 7.2.2.3
50 * from (K) is the key material.
51 * param (A) is the additional input.
52 * Step numbers are included here but not in the constant time inverse below
53 * to avoid complicating an already difficult enough function.
55 int rsa_padding_add_PKCS1_OAEP_mgf1_with_libctx(OPENSSL_CTX
*libctx
,
56 unsigned char *to
, int tlen
,
57 const unsigned char *from
,
59 const unsigned char *param
,
60 int plen
, const EVP_MD
*md
,
64 int i
, emlen
= tlen
- 1;
65 unsigned char *db
, *seed
;
66 unsigned char *dbmask
= NULL
;
67 unsigned char seedmask
[EVP_MAX_MD_SIZE
];
68 int mdlen
, dbmask_len
= 0;
74 RSAerr(0, ERR_R_PASSED_NULL_PARAMETER
);
81 mdlen
= EVP_MD_size(md
);
83 /* step 2b: check KLen > nLen - 2 HLen - 2 */
84 if (flen
> emlen
- 2 * mdlen
- 1) {
85 RSAerr(0, RSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE
);
89 if (emlen
< 2 * mdlen
+ 1) {
90 RSAerr(0, RSA_R_KEY_SIZE_TOO_SMALL
);
94 /* step 3i: EM = 00000000 || maskedMGF || maskedDB */
99 /* step 3a: hash the additional input */
100 if (!EVP_Digest((void *)param
, plen
, db
, NULL
, md
, NULL
))
102 /* step 3b: zero bytes array of length nLen - KLen - 2 HLen -2 */
103 memset(db
+ mdlen
, 0, emlen
- flen
- 2 * mdlen
- 1);
104 /* step 3c: DB = HA || PS || 00000001 || K */
105 db
[emlen
- flen
- mdlen
- 1] = 0x01;
106 memcpy(db
+ emlen
- flen
- mdlen
, from
, (unsigned int)flen
);
107 /* step 3d: generate random byte string */
108 if (RAND_bytes_ex(libctx
, seed
, mdlen
) <= 0)
111 dbmask_len
= emlen
- mdlen
;
112 dbmask
= OPENSSL_malloc(dbmask_len
);
113 if (dbmask
== NULL
) {
114 RSAerr(0, ERR_R_MALLOC_FAILURE
);
118 /* step 3e: dbMask = MGF(mgfSeed, nLen - HLen - 1) */
119 if (PKCS1_MGF1(dbmask
, dbmask_len
, seed
, mdlen
, mgf1md
) < 0)
121 /* step 3f: maskedDB = DB XOR dbMask */
122 for (i
= 0; i
< dbmask_len
; i
++)
125 /* step 3g: mgfSeed = MGF(maskedDB, HLen) */
126 if (PKCS1_MGF1(seedmask
, mdlen
, db
, dbmask_len
, mgf1md
) < 0)
128 /* stepo 3h: maskedMGFSeed = mgfSeed XOR mgfSeedMask */
129 for (i
= 0; i
< mdlen
; i
++)
130 seed
[i
] ^= seedmask
[i
];
134 OPENSSL_cleanse(seedmask
, sizeof(seedmask
));
135 OPENSSL_clear_free(dbmask
, dbmask_len
);
139 int RSA_padding_add_PKCS1_OAEP_mgf1(unsigned char *to
, int tlen
,
140 const unsigned char *from
, int flen
,
141 const unsigned char *param
, int plen
,
142 const EVP_MD
*md
, const EVP_MD
*mgf1md
)
144 return rsa_padding_add_PKCS1_OAEP_mgf1_with_libctx(NULL
, to
, tlen
, from
,
145 flen
, param
, plen
, md
,
149 int RSA_padding_check_PKCS1_OAEP(unsigned char *to
, int tlen
,
150 const unsigned char *from
, int flen
, int num
,
151 const unsigned char *param
, int plen
)
153 return RSA_padding_check_PKCS1_OAEP_mgf1(to
, tlen
, from
, flen
, num
,
154 param
, plen
, NULL
, NULL
);
157 int RSA_padding_check_PKCS1_OAEP_mgf1(unsigned char *to
, int tlen
,
158 const unsigned char *from
, int flen
,
159 int num
, const unsigned char *param
,
160 int plen
, const EVP_MD
*md
,
161 const EVP_MD
*mgf1md
)
163 int i
, dblen
= 0, mlen
= -1, one_index
= 0, msg_index
;
164 unsigned int good
= 0, found_one_byte
, mask
;
165 const unsigned char *maskedseed
, *maskeddb
;
167 * |em| is the encoded message, zero-padded to exactly |num| bytes: em =
168 * Y || maskedSeed || maskedDB
170 unsigned char *db
= NULL
, *em
= NULL
, seed
[EVP_MAX_MD_SIZE
],
171 phash
[EVP_MAX_MD_SIZE
];
178 RSAerr(0, ERR_R_PASSED_NULL_PARAMETER
);
186 mdlen
= EVP_MD_size(md
);
188 if (tlen
<= 0 || flen
<= 0)
191 * |num| is the length of the modulus; |flen| is the length of the
192 * encoded message. Therefore, for any |from| that was obtained by
193 * decrypting a ciphertext, we must have |flen| <= |num|. Similarly,
194 * |num| >= 2 * |mdlen| + 2 must hold for the modulus irrespective of
195 * the ciphertext, see PKCS #1 v2.2, section 7.1.2.
196 * This does not leak any side-channel information.
198 if (num
< flen
|| num
< 2 * mdlen
+ 2) {
199 RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_OAEP_MGF1
,
200 RSA_R_OAEP_DECODING_ERROR
);
204 dblen
= num
- mdlen
- 1;
205 db
= OPENSSL_malloc(dblen
);
207 RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_OAEP_MGF1
, ERR_R_MALLOC_FAILURE
);
211 em
= OPENSSL_malloc(num
);
213 RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_OAEP_MGF1
,
214 ERR_R_MALLOC_FAILURE
);
219 * Caller is encouraged to pass zero-padded message created with
220 * BN_bn2binpad. Trouble is that since we can't read out of |from|'s
221 * bounds, it's impossible to have an invariant memory access pattern
222 * in case |from| was not zero-padded in advance.
224 for (from
+= flen
, em
+= num
, i
= 0; i
< num
; i
++) {
225 mask
= ~constant_time_is_zero(flen
);
228 *--em
= *from
& mask
;
232 * The first byte must be zero, however we must not leak if this is
233 * true. See James H. Manger, "A Chosen Ciphertext Attack on RSA
234 * Optimal Asymmetric Encryption Padding (OAEP) [...]", CRYPTO 2001).
236 good
= constant_time_is_zero(em
[0]);
239 maskeddb
= em
+ 1 + mdlen
;
241 if (PKCS1_MGF1(seed
, mdlen
, maskeddb
, dblen
, mgf1md
))
243 for (i
= 0; i
< mdlen
; i
++)
244 seed
[i
] ^= maskedseed
[i
];
246 if (PKCS1_MGF1(db
, dblen
, seed
, mdlen
, mgf1md
))
248 for (i
= 0; i
< dblen
; i
++)
249 db
[i
] ^= maskeddb
[i
];
251 if (!EVP_Digest((void *)param
, plen
, phash
, NULL
, md
, NULL
))
254 good
&= constant_time_is_zero(CRYPTO_memcmp(db
, phash
, mdlen
));
257 for (i
= mdlen
; i
< dblen
; i
++) {
259 * Padding consists of a number of 0-bytes, followed by a 1.
261 unsigned int equals1
= constant_time_eq(db
[i
], 1);
262 unsigned int equals0
= constant_time_is_zero(db
[i
]);
263 one_index
= constant_time_select_int(~found_one_byte
& equals1
,
265 found_one_byte
|= equals1
;
266 good
&= (found_one_byte
| equals0
);
269 good
&= found_one_byte
;
272 * At this point |good| is zero unless the plaintext was valid,
273 * so plaintext-awareness ensures timing side-channels are no longer a
276 msg_index
= one_index
+ 1;
277 mlen
= dblen
- msg_index
;
280 * For good measure, do this check in constant time as well.
282 good
&= constant_time_ge(tlen
, mlen
);
285 * Move the result in-place by |dblen|-|mdlen|-1-|mlen| bytes to the left.
286 * Then if |good| move |mlen| bytes from |db|+|mdlen|+1 to |to|.
287 * Otherwise leave |to| unchanged.
288 * Copy the memory back in a way that does not reveal the size of
289 * the data being copied via a timing side channel. This requires copying
290 * parts of the buffer multiple times based on the bits set in the real
291 * length. Clear bits do a non-copy with identical access pattern.
292 * The loop below has overall complexity of O(N*log(N)).
294 tlen
= constant_time_select_int(constant_time_lt(dblen
- mdlen
- 1, tlen
),
295 dblen
- mdlen
- 1, tlen
);
296 for (msg_index
= 1; msg_index
< dblen
- mdlen
- 1; msg_index
<<= 1) {
297 mask
= ~constant_time_eq(msg_index
& (dblen
- mdlen
- 1 - mlen
), 0);
298 for (i
= mdlen
+ 1; i
< dblen
- msg_index
; i
++)
299 db
[i
] = constant_time_select_8(mask
, db
[i
+ msg_index
], db
[i
]);
301 for (i
= 0; i
< tlen
; i
++) {
302 mask
= good
& constant_time_lt(i
, mlen
);
303 to
[i
] = constant_time_select_8(mask
, db
[i
+ mdlen
+ 1], to
[i
]);
308 * To avoid chosen ciphertext attacks, the error message should not
309 * reveal which kind of decoding error happened.
311 * This trick doesn't work in the FIPS provider because libcrypto manages
312 * the error stack. Instead we opt not to put an error on the stack at all
313 * in case of padding failure in the FIPS provider.
315 RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_OAEP_MGF1
,
316 RSA_R_OAEP_DECODING_ERROR
);
317 err_clear_last_constant_time(1 & good
);
320 OPENSSL_cleanse(seed
, sizeof(seed
));
321 OPENSSL_clear_free(db
, dblen
);
322 OPENSSL_clear_free(em
, num
);
324 return constant_time_select_int(good
, mlen
, -1);
328 * Mask Generation Function corresponding to section 7.2.2.2 of NIST SP 800-56B.
329 * The variables are named differently to NIST:
330 * mask (T) and len (maskLen)are the returned mask.
332 * The range checking steps inm the process are performed outside.
334 int PKCS1_MGF1(unsigned char *mask
, long len
,
335 const unsigned char *seed
, long seedlen
, const EVP_MD
*dgst
)
338 unsigned char cnt
[4];
339 EVP_MD_CTX
*c
= EVP_MD_CTX_new();
340 unsigned char md
[EVP_MAX_MD_SIZE
];
346 mdlen
= EVP_MD_size(dgst
);
350 for (i
= 0; outlen
< len
; i
++) {
351 /* step 4a: D = I2BS(counter, 4) */
352 cnt
[0] = (unsigned char)((i
>> 24) & 255);
353 cnt
[1] = (unsigned char)((i
>> 16) & 255);
354 cnt
[2] = (unsigned char)((i
>> 8)) & 255;
355 cnt
[3] = (unsigned char)(i
& 255);
356 /* step 4b: T =T || hash(mgfSeed || D) */
357 if (!EVP_DigestInit_ex(c
, dgst
, NULL
)
358 || !EVP_DigestUpdate(c
, seed
, seedlen
)
359 || !EVP_DigestUpdate(c
, cnt
, 4))
361 if (outlen
+ mdlen
<= len
) {
362 if (!EVP_DigestFinal_ex(c
, mask
+ outlen
, NULL
))
366 if (!EVP_DigestFinal_ex(c
, md
, NULL
))
368 memcpy(mask
+ outlen
, md
, len
- outlen
);
374 OPENSSL_cleanse(md
, sizeof(md
));