1 | /*
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2 | * Copyright 1999-2019 The OpenSSL Project Authors. All Rights Reserved.
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3 | *
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4 | * Licensed under the OpenSSL license (the "License"). You may not use
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5 | * this file except in compliance with the License. You can obtain a copy
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6 | * in the file LICENSE in the source distribution or at
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7 | * https://www.openssl.org/source/license.html
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8 | */
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9 |
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10 | /* EME-OAEP as defined in RFC 2437 (PKCS #1 v2.0) */
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11 |
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12 | /*
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13 | * See Victor Shoup, "OAEP reconsidered," Nov. 2000, <URL:
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14 | * http://www.shoup.net/papers/oaep.ps.Z> for problems with the security
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15 | * proof for the original OAEP scheme, which EME-OAEP is based on. A new
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16 | * proof can be found in E. Fujisaki, T. Okamoto, D. Pointcheval, J. Stern,
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17 | * "RSA-OEAP is Still Alive!", Dec. 2000, <URL:
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18 | * http://eprint.iacr.org/2000/061/>. The new proof has stronger requirements
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19 | * for the underlying permutation: "partial-one-wayness" instead of
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20 | * one-wayness. For the RSA function, this is an equivalent notion.
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21 | */
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22 |
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23 | #include "internal/constant_time.h"
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24 |
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25 | #include <stdio.h>
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26 | #include "internal/cryptlib.h"
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27 | #include <openssl/bn.h>
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28 | #include <openssl/evp.h>
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29 | #include <openssl/rand.h>
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30 | #include <openssl/sha.h>
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31 | #include "rsa_local.h"
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32 |
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33 | int RSA_padding_add_PKCS1_OAEP(unsigned char *to, int tlen,
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34 | const unsigned char *from, int flen,
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35 | const unsigned char *param, int plen)
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36 | {
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37 | return RSA_padding_add_PKCS1_OAEP_mgf1(to, tlen, from, flen,
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38 | param, plen, NULL, NULL);
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39 | }
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40 |
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41 | int RSA_padding_add_PKCS1_OAEP_mgf1(unsigned char *to, int tlen,
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42 | const unsigned char *from, int flen,
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43 | const unsigned char *param, int plen,
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44 | const EVP_MD *md, const EVP_MD *mgf1md)
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45 | {
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46 | int rv = 0;
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47 | int i, emlen = tlen - 1;
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48 | unsigned char *db, *seed;
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49 | unsigned char *dbmask = NULL;
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50 | unsigned char seedmask[EVP_MAX_MD_SIZE];
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51 | int mdlen, dbmask_len = 0;
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52 |
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53 | if (md == NULL)
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54 | md = EVP_sha1();
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55 | if (mgf1md == NULL)
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56 | mgf1md = md;
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57 |
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58 | mdlen = EVP_MD_size(md);
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59 |
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60 | if (flen > emlen - 2 * mdlen - 1) {
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61 | RSAerr(RSA_F_RSA_PADDING_ADD_PKCS1_OAEP_MGF1,
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62 | RSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE);
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63 | return 0;
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64 | }
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65 |
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66 | if (emlen < 2 * mdlen + 1) {
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67 | RSAerr(RSA_F_RSA_PADDING_ADD_PKCS1_OAEP_MGF1,
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68 | RSA_R_KEY_SIZE_TOO_SMALL);
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69 | return 0;
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70 | }
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71 |
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72 | to[0] = 0;
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73 | seed = to + 1;
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74 | db = to + mdlen + 1;
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75 |
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76 | if (!EVP_Digest((void *)param, plen, db, NULL, md, NULL))
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77 | goto err;
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78 | memset(db + mdlen, 0, emlen - flen - 2 * mdlen - 1);
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79 | db[emlen - flen - mdlen - 1] = 0x01;
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80 | memcpy(db + emlen - flen - mdlen, from, (unsigned int)flen);
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81 | if (RAND_bytes(seed, mdlen) <= 0)
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82 | goto err;
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83 |
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84 | dbmask_len = emlen - mdlen;
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85 | dbmask = OPENSSL_malloc(dbmask_len);
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86 | if (dbmask == NULL) {
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87 | RSAerr(RSA_F_RSA_PADDING_ADD_PKCS1_OAEP_MGF1, ERR_R_MALLOC_FAILURE);
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88 | goto err;
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89 | }
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90 |
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91 | if (PKCS1_MGF1(dbmask, dbmask_len, seed, mdlen, mgf1md) < 0)
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92 | goto err;
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93 | for (i = 0; i < dbmask_len; i++)
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94 | db[i] ^= dbmask[i];
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95 |
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96 | if (PKCS1_MGF1(seedmask, mdlen, db, dbmask_len, mgf1md) < 0)
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97 | goto err;
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98 | for (i = 0; i < mdlen; i++)
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99 | seed[i] ^= seedmask[i];
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100 | rv = 1;
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101 |
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102 | err:
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103 | OPENSSL_cleanse(seedmask, sizeof(seedmask));
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104 | OPENSSL_clear_free(dbmask, dbmask_len);
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105 | return rv;
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106 | }
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107 |
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108 | int RSA_padding_check_PKCS1_OAEP(unsigned char *to, int tlen,
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109 | const unsigned char *from, int flen, int num,
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110 | const unsigned char *param, int plen)
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111 | {
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112 | return RSA_padding_check_PKCS1_OAEP_mgf1(to, tlen, from, flen, num,
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113 | param, plen, NULL, NULL);
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114 | }
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115 |
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116 | int RSA_padding_check_PKCS1_OAEP_mgf1(unsigned char *to, int tlen,
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117 | const unsigned char *from, int flen,
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118 | int num, const unsigned char *param,
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119 | int plen, const EVP_MD *md,
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120 | const EVP_MD *mgf1md)
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121 | {
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122 | int i, dblen = 0, mlen = -1, one_index = 0, msg_index;
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123 | unsigned int good = 0, found_one_byte, mask;
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124 | const unsigned char *maskedseed, *maskeddb;
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125 | /*
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126 | * |em| is the encoded message, zero-padded to exactly |num| bytes: em =
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127 | * Y || maskedSeed || maskedDB
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128 | */
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129 | unsigned char *db = NULL, *em = NULL, seed[EVP_MAX_MD_SIZE],
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130 | phash[EVP_MAX_MD_SIZE];
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131 | int mdlen;
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132 |
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133 | if (md == NULL)
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134 | md = EVP_sha1();
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135 | if (mgf1md == NULL)
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136 | mgf1md = md;
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137 |
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138 | mdlen = EVP_MD_size(md);
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139 |
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140 | if (tlen <= 0 || flen <= 0)
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141 | return -1;
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142 | /*
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143 | * |num| is the length of the modulus; |flen| is the length of the
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144 | * encoded message. Therefore, for any |from| that was obtained by
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145 | * decrypting a ciphertext, we must have |flen| <= |num|. Similarly,
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146 | * |num| >= 2 * |mdlen| + 2 must hold for the modulus irrespective of
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147 | * the ciphertext, see PKCS #1 v2.2, section 7.1.2.
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148 | * This does not leak any side-channel information.
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149 | */
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150 | if (num < flen || num < 2 * mdlen + 2) {
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151 | RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_OAEP_MGF1,
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152 | RSA_R_OAEP_DECODING_ERROR);
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153 | return -1;
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154 | }
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155 |
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156 | dblen = num - mdlen - 1;
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157 | db = OPENSSL_malloc(dblen);
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158 | if (db == NULL) {
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159 | RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_OAEP_MGF1, ERR_R_MALLOC_FAILURE);
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160 | goto cleanup;
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161 | }
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162 |
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163 | em = OPENSSL_malloc(num);
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164 | if (em == NULL) {
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165 | RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_OAEP_MGF1,
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166 | ERR_R_MALLOC_FAILURE);
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167 | goto cleanup;
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168 | }
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169 |
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170 | /*
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171 | * Caller is encouraged to pass zero-padded message created with
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172 | * BN_bn2binpad. Trouble is that since we can't read out of |from|'s
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173 | * bounds, it's impossible to have an invariant memory access pattern
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174 | * in case |from| was not zero-padded in advance.
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175 | */
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176 | for (from += flen, em += num, i = 0; i < num; i++) {
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177 | mask = ~constant_time_is_zero(flen);
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178 | flen -= 1 & mask;
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179 | from -= 1 & mask;
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180 | *--em = *from & mask;
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181 | }
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182 |
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183 | /*
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184 | * The first byte must be zero, however we must not leak if this is
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185 | * true. See James H. Manger, "A Chosen Ciphertext Attack on RSA
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186 | * Optimal Asymmetric Encryption Padding (OAEP) [...]", CRYPTO 2001).
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187 | */
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188 | good = constant_time_is_zero(em[0]);
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189 |
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190 | maskedseed = em + 1;
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191 | maskeddb = em + 1 + mdlen;
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192 |
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193 | if (PKCS1_MGF1(seed, mdlen, maskeddb, dblen, mgf1md))
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194 | goto cleanup;
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195 | for (i = 0; i < mdlen; i++)
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196 | seed[i] ^= maskedseed[i];
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197 |
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198 | if (PKCS1_MGF1(db, dblen, seed, mdlen, mgf1md))
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199 | goto cleanup;
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200 | for (i = 0; i < dblen; i++)
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201 | db[i] ^= maskeddb[i];
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202 |
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203 | if (!EVP_Digest((void *)param, plen, phash, NULL, md, NULL))
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204 | goto cleanup;
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205 |
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206 | good &= constant_time_is_zero(CRYPTO_memcmp(db, phash, mdlen));
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207 |
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208 | found_one_byte = 0;
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209 | for (i = mdlen; i < dblen; i++) {
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210 | /*
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211 | * Padding consists of a number of 0-bytes, followed by a 1.
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212 | */
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213 | unsigned int equals1 = constant_time_eq(db[i], 1);
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214 | unsigned int equals0 = constant_time_is_zero(db[i]);
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215 | one_index = constant_time_select_int(~found_one_byte & equals1,
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216 | i, one_index);
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217 | found_one_byte |= equals1;
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218 | good &= (found_one_byte | equals0);
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219 | }
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220 |
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221 | good &= found_one_byte;
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222 |
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223 | /*
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224 | * At this point |good| is zero unless the plaintext was valid,
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225 | * so plaintext-awareness ensures timing side-channels are no longer a
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226 | * concern.
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227 | */
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228 | msg_index = one_index + 1;
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229 | mlen = dblen - msg_index;
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230 |
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231 | /*
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232 | * For good measure, do this check in constant time as well.
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233 | */
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234 | good &= constant_time_ge(tlen, mlen);
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235 |
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236 | /*
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237 | * Move the result in-place by |dblen|-|mdlen|-1-|mlen| bytes to the left.
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238 | * Then if |good| move |mlen| bytes from |db|+|mdlen|+1 to |to|.
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239 | * Otherwise leave |to| unchanged.
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240 | * Copy the memory back in a way that does not reveal the size of
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241 | * the data being copied via a timing side channel. This requires copying
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242 | * parts of the buffer multiple times based on the bits set in the real
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243 | * length. Clear bits do a non-copy with identical access pattern.
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244 | * The loop below has overall complexity of O(N*log(N)).
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245 | */
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246 | tlen = constant_time_select_int(constant_time_lt(dblen - mdlen - 1, tlen),
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247 | dblen - mdlen - 1, tlen);
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248 | for (msg_index = 1; msg_index < dblen - mdlen - 1; msg_index <<= 1) {
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249 | mask = ~constant_time_eq(msg_index & (dblen - mdlen - 1 - mlen), 0);
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250 | for (i = mdlen + 1; i < dblen - msg_index; i++)
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251 | db[i] = constant_time_select_8(mask, db[i + msg_index], db[i]);
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252 | }
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253 | for (i = 0; i < tlen; i++) {
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254 | mask = good & constant_time_lt(i, mlen);
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255 | to[i] = constant_time_select_8(mask, db[i + mdlen + 1], to[i]);
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256 | }
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257 |
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258 | /*
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259 | * To avoid chosen ciphertext attacks, the error message should not
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260 | * reveal which kind of decoding error happened.
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261 | */
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262 | RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_OAEP_MGF1,
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263 | RSA_R_OAEP_DECODING_ERROR);
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264 | err_clear_last_constant_time(1 & good);
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265 | cleanup:
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266 | OPENSSL_cleanse(seed, sizeof(seed));
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267 | OPENSSL_clear_free(db, dblen);
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268 | OPENSSL_clear_free(em, num);
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269 |
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270 | return constant_time_select_int(good, mlen, -1);
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271 | }
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272 |
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273 | int PKCS1_MGF1(unsigned char *mask, long len,
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274 | const unsigned char *seed, long seedlen, const EVP_MD *dgst)
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275 | {
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276 | long i, outlen = 0;
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277 | unsigned char cnt[4];
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278 | EVP_MD_CTX *c = EVP_MD_CTX_new();
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279 | unsigned char md[EVP_MAX_MD_SIZE];
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280 | int mdlen;
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281 | int rv = -1;
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282 |
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283 | if (c == NULL)
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284 | goto err;
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285 | mdlen = EVP_MD_size(dgst);
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286 | if (mdlen < 0)
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287 | goto err;
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288 | for (i = 0; outlen < len; i++) {
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289 | cnt[0] = (unsigned char)((i >> 24) & 255);
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290 | cnt[1] = (unsigned char)((i >> 16) & 255);
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291 | cnt[2] = (unsigned char)((i >> 8)) & 255;
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292 | cnt[3] = (unsigned char)(i & 255);
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293 | if (!EVP_DigestInit_ex(c, dgst, NULL)
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294 | || !EVP_DigestUpdate(c, seed, seedlen)
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295 | || !EVP_DigestUpdate(c, cnt, 4))
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296 | goto err;
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297 | if (outlen + mdlen <= len) {
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298 | if (!EVP_DigestFinal_ex(c, mask + outlen, NULL))
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299 | goto err;
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300 | outlen += mdlen;
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301 | } else {
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302 | if (!EVP_DigestFinal_ex(c, md, NULL))
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303 | goto err;
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304 | memcpy(mask + outlen, md, len - outlen);
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305 | outlen = len;
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306 | }
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307 | }
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308 | rv = 0;
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309 | err:
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310 | OPENSSL_cleanse(md, sizeof(md));
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311 | EVP_MD_CTX_free(c);
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312 | return rv;
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313 | }
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