1 | /*
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2 | * Copyright (c) 2006 - 2007, 2010 Kungliga Tekniska Högskolan
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3 | * (Royal Institute of Technology, Stockholm, Sweden).
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4 | * All rights reserved.
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5 | *
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6 | * Redistribution and use in source and binary forms, with or without
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7 | * modification, are permitted provided that the following conditions
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8 | * are met:
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9 | *
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10 | * 1. Redistributions of source code must retain the above copyright
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11 | * notice, this list of conditions and the following disclaimer.
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12 | *
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13 | * 2. Redistributions in binary form must reproduce the above copyright
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14 | * notice, this list of conditions and the following disclaimer in the
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15 | * documentation and/or other materials provided with the distribution.
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16 | *
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17 | * 3. Neither the name of the Institute nor the names of its contributors
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18 | * may be used to endorse or promote products derived from this software
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19 | * without specific prior written permission.
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20 | *
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21 | * THIS SOFTWARE IS PROVIDED BY THE INSTITUTE AND CONTRIBUTORS ``AS IS'' AND
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22 | * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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23 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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24 | * ARE DISCLAIMED. IN NO EVENT SHALL THE INSTITUTE OR CONTRIBUTORS BE LIABLE
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25 | * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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26 | * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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27 | * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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28 | * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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29 | * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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30 | * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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31 | * SUCH DAMAGE.
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32 | */
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33 |
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34 | #include <config.h>
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35 |
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36 | #include <stdio.h>
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37 | #include <stdlib.h>
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38 | #include <krb5-types.h>
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39 | #include <assert.h>
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40 |
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41 | #include <rsa.h>
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42 |
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43 | #include <roken.h>
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44 |
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45 | #include "tommath.h"
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46 |
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47 | static int
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48 | random_num(mp_int *num, size_t len)
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49 | {
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50 | unsigned char *p;
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51 |
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52 | len = (len + 7) / 8;
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53 | p = malloc(len);
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54 | if (p == NULL)
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55 | return 1;
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56 | if (RAND_bytes(p, len) != 1) {
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57 | free(p);
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58 | return 1;
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59 | }
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60 | mp_read_unsigned_bin(num, p, len);
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61 | free(p);
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62 | return 0;
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63 | }
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64 |
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65 | static void
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66 | BN2mpz(mp_int *s, const BIGNUM *bn)
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67 | {
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68 | size_t len;
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69 | void *p;
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70 |
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71 | len = BN_num_bytes(bn);
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72 | p = malloc(len);
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73 | BN_bn2bin(bn, p);
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74 | mp_read_unsigned_bin(s, p, len);
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75 | free(p);
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76 | }
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77 |
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78 | static void
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79 | setup_blind(mp_int *n, mp_int *b, mp_int *bi)
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80 | {
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81 | random_num(b, mp_count_bits(n));
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82 | mp_mod(b, n, b);
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83 | mp_invmod(b, n, bi);
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84 | }
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85 |
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86 | static void
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87 | blind(mp_int *in, mp_int *b, mp_int *e, mp_int *n)
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88 | {
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89 | mp_int t1;
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90 | mp_init(&t1);
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91 | /* in' = (in * b^e) mod n */
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92 | mp_exptmod(b, e, n, &t1);
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93 | mp_mul(&t1, in, in);
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94 | mp_mod(in, n, in);
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95 | mp_clear(&t1);
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96 | }
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97 |
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98 | static void
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99 | unblind(mp_int *out, mp_int *bi, mp_int *n)
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100 | {
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101 | /* out' = (out * 1/b) mod n */
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102 | mp_mul(out, bi, out);
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103 | mp_mod(out, n, out);
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104 | }
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105 |
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106 | static int
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107 | ltm_rsa_private_calculate(mp_int * in, mp_int * p, mp_int * q,
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108 | mp_int * dmp1, mp_int * dmq1, mp_int * iqmp,
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109 | mp_int * out)
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110 | {
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111 | mp_int vp, vq, u;
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112 |
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113 | mp_init_multi(&vp, &vq, &u, NULL);
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114 |
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115 | /* vq = c ^ (d mod (q - 1)) mod q */
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116 | /* vp = c ^ (d mod (p - 1)) mod p */
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117 | mp_mod(in, p, &u);
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118 | mp_exptmod(&u, dmp1, p, &vp);
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119 | mp_mod(in, q, &u);
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120 | mp_exptmod(&u, dmq1, q, &vq);
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121 |
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122 | /* C2 = 1/q mod p (iqmp) */
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123 | /* u = (vp - vq)C2 mod p. */
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124 | mp_sub(&vp, &vq, &u);
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125 | if (mp_isneg(&u))
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126 | mp_add(&u, p, &u);
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127 | mp_mul(&u, iqmp, &u);
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128 | mp_mod(&u, p, &u);
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129 |
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130 | /* c ^ d mod n = vq + u q */
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131 | mp_mul(&u, q, &u);
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132 | mp_add(&u, &vq, out);
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133 |
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134 | mp_clear_multi(&vp, &vq, &u, NULL);
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135 |
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136 | return 0;
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137 | }
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138 |
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139 | /*
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140 | *
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141 | */
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142 |
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143 | static int
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144 | ltm_rsa_public_encrypt(int flen, const unsigned char* from,
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145 | unsigned char* to, RSA* rsa, int padding)
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146 | {
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147 | unsigned char *p, *p0;
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148 | int res;
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149 | size_t size, padlen;
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150 | mp_int enc, dec, n, e;
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151 |
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152 | if (padding != RSA_PKCS1_PADDING)
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153 | return -1;
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154 |
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155 | mp_init_multi(&n, &e, &enc, &dec, NULL);
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156 |
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157 | size = RSA_size(rsa);
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158 |
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159 | if (size < RSA_PKCS1_PADDING_SIZE || size - RSA_PKCS1_PADDING_SIZE < flen) {
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160 | mp_clear_multi(&n, &e, &enc, &dec);
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161 | return -2;
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162 | }
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163 |
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164 | BN2mpz(&n, rsa->n);
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165 | BN2mpz(&e, rsa->e);
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166 |
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167 | p = p0 = malloc(size - 1);
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168 | if (p0 == NULL) {
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169 | mp_clear_multi(&e, &n, &enc, &dec, NULL);
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170 | return -3;
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171 | }
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172 |
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173 | padlen = size - flen - 3;
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174 |
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175 | *p++ = 2;
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176 | if (RAND_bytes(p, padlen) != 1) {
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177 | mp_clear_multi(&e, &n, &enc, &dec, NULL);
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178 | free(p0);
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179 | return -4;
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180 | }
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181 | while(padlen) {
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182 | if (*p == 0)
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183 | *p = 1;
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184 | padlen--;
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185 | p++;
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186 | }
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187 | *p++ = 0;
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188 | memcpy(p, from, flen);
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189 | p += flen;
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190 | assert((p - p0) == size - 1);
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191 |
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192 | mp_read_unsigned_bin(&dec, p0, size - 1);
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193 | free(p0);
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194 |
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195 | res = mp_exptmod(&dec, &e, &n, &enc);
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196 |
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197 | mp_clear_multi(&dec, &e, &n, NULL);
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198 |
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199 | if (res != 0) {
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200 | mp_clear(&enc);
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201 | return -4;
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202 | }
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203 |
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204 | {
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205 | size_t ssize;
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206 | ssize = mp_unsigned_bin_size(&enc);
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207 | assert(size >= ssize);
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208 | mp_to_unsigned_bin(&enc, to);
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209 | size = ssize;
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210 | }
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211 | mp_clear(&enc);
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212 |
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213 | return size;
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214 | }
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215 |
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216 | static int
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217 | ltm_rsa_public_decrypt(int flen, const unsigned char* from,
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218 | unsigned char* to, RSA* rsa, int padding)
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219 | {
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220 | unsigned char *p;
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221 | int res;
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222 | size_t size;
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223 | mp_int s, us, n, e;
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224 |
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225 | if (padding != RSA_PKCS1_PADDING)
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226 | return -1;
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227 |
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228 | if (flen > RSA_size(rsa))
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229 | return -2;
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230 |
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231 | mp_init_multi(&e, &n, &s, &us, NULL);
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232 |
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233 | BN2mpz(&n, rsa->n);
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234 | BN2mpz(&e, rsa->e);
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235 |
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236 | #if 0
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237 | /* Check that the exponent is larger then 3 */
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238 | if (mp_int_compare_value(&e, 3) <= 0) {
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239 | mp_clear_multi(&e, &n, &s, &us, NULL);
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240 | return -3;
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241 | }
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242 | #endif
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243 |
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244 | mp_read_unsigned_bin(&s, rk_UNCONST(from), flen);
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245 |
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246 | if (mp_cmp(&s, &n) >= 0) {
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247 | mp_clear_multi(&e, &n, &s, &us, NULL);
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248 | return -4;
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249 | }
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250 |
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251 | res = mp_exptmod(&s, &e, &n, &us);
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252 |
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253 | mp_clear_multi(&e, &n, &s, NULL);
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254 |
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255 | if (res != 0) {
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256 | mp_clear(&us);
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257 | return -5;
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258 | }
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259 | p = to;
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260 |
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261 |
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262 | size = mp_unsigned_bin_size(&us);
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263 | assert(size <= RSA_size(rsa));
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264 | mp_to_unsigned_bin(&us, p);
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265 |
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266 | mp_clear(&us);
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267 |
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268 | /* head zero was skipped by mp_to_unsigned_bin */
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269 | if (*p == 0)
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270 | return -6;
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271 | if (*p != 1)
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272 | return -7;
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273 | size--; p++;
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274 | while (size && *p == 0xff) {
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275 | size--; p++;
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276 | }
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277 | if (size == 0 || *p != 0)
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278 | return -8;
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279 | size--; p++;
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280 |
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281 | memmove(to, p, size);
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282 |
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283 | return size;
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284 | }
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285 |
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286 | static int
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287 | ltm_rsa_private_encrypt(int flen, const unsigned char* from,
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288 | unsigned char* to, RSA* rsa, int padding)
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289 | {
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290 | unsigned char *p, *p0;
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291 | int res;
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292 | int size;
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293 | mp_int in, out, n, e;
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294 | mp_int bi, b;
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295 | int blinding = (rsa->flags & RSA_FLAG_NO_BLINDING) == 0;
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296 | int do_unblind = 0;
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297 |
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298 | if (padding != RSA_PKCS1_PADDING)
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299 | return -1;
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300 |
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301 | mp_init_multi(&e, &n, &in, &out, &b, &bi, NULL);
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302 |
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303 | size = RSA_size(rsa);
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304 |
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305 | if (size < RSA_PKCS1_PADDING_SIZE || size - RSA_PKCS1_PADDING_SIZE < flen)
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306 | return -2;
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307 |
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308 | p0 = p = malloc(size);
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309 | *p++ = 0;
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310 | *p++ = 1;
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311 | memset(p, 0xff, size - flen - 3);
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312 | p += size - flen - 3;
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313 | *p++ = 0;
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314 | memcpy(p, from, flen);
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315 | p += flen;
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316 | assert((p - p0) == size);
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317 |
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318 | BN2mpz(&n, rsa->n);
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319 | BN2mpz(&e, rsa->e);
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320 |
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321 | mp_read_unsigned_bin(&in, p0, size);
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322 | free(p0);
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323 |
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324 | if(mp_isneg(&in) || mp_cmp(&in, &n) >= 0) {
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325 | size = -3;
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326 | goto out;
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327 | }
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328 |
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329 | if (blinding) {
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330 | setup_blind(&n, &b, &bi);
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331 | blind(&in, &b, &e, &n);
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332 | do_unblind = 1;
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333 | }
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334 |
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335 | if (rsa->p && rsa->q && rsa->dmp1 && rsa->dmq1 && rsa->iqmp) {
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336 | mp_int p, q, dmp1, dmq1, iqmp;
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337 |
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338 | mp_init_multi(&p, &q, &dmp1, &dmq1, &iqmp, NULL);
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339 |
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340 | BN2mpz(&p, rsa->p);
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341 | BN2mpz(&q, rsa->q);
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342 | BN2mpz(&dmp1, rsa->dmp1);
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343 | BN2mpz(&dmq1, rsa->dmq1);
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344 | BN2mpz(&iqmp, rsa->iqmp);
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345 |
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346 | res = ltm_rsa_private_calculate(&in, &p, &q, &dmp1, &dmq1, &iqmp, &out);
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347 |
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348 | mp_clear_multi(&p, &q, &dmp1, &dmq1, &iqmp, NULL);
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349 |
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350 | if (res != 0) {
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351 | size = -4;
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352 | goto out;
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353 | }
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354 | } else {
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355 | mp_int d;
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356 |
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357 | BN2mpz(&d, rsa->d);
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358 | res = mp_exptmod(&in, &d, &n, &out);
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359 | mp_clear(&d);
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360 | if (res != 0) {
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361 | size = -5;
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362 | goto out;
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363 | }
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364 | }
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365 |
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366 | if (do_unblind)
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367 | unblind(&out, &bi, &n);
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368 |
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369 | if (size > 0) {
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370 | size_t ssize;
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371 | ssize = mp_unsigned_bin_size(&out);
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372 | assert(size >= ssize);
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373 | mp_to_unsigned_bin(&out, to);
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374 | size = ssize;
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375 | }
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376 |
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377 | out:
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378 | mp_clear_multi(&e, &n, &in, &out, &b, &bi, NULL);
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379 |
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380 | return size;
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381 | }
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382 |
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383 | static int
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384 | ltm_rsa_private_decrypt(int flen, const unsigned char* from,
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385 | unsigned char* to, RSA* rsa, int padding)
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386 | {
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387 | unsigned char *ptr;
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388 | int res, size;
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389 | mp_int in, out, n, e, b, bi;
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390 | int blinding = (rsa->flags & RSA_FLAG_NO_BLINDING) == 0;
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391 | int do_unblind = 0;
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392 |
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393 | if (padding != RSA_PKCS1_PADDING)
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394 | return -1;
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395 |
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396 | size = RSA_size(rsa);
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397 | if (flen > size)
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398 | return -2;
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399 |
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400 | mp_init_multi(&in, &n, &e, &out, &b, &bi, NULL);
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401 |
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402 | BN2mpz(&n, rsa->n);
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403 | BN2mpz(&e, rsa->e);
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404 |
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405 | mp_read_unsigned_bin(&in, rk_UNCONST(from), flen);
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406 |
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407 | if(mp_isneg(&in) || mp_cmp(&in, &n) >= 0) {
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408 | size = -2;
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409 | goto out;
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410 | }
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411 |
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412 | if (blinding) {
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413 | setup_blind(&n, &b, &bi);
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414 | blind(&in, &b, &e, &n);
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415 | do_unblind = 1;
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416 | }
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417 |
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418 | if (rsa->p && rsa->q && rsa->dmp1 && rsa->dmq1 && rsa->iqmp) {
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419 | mp_int p, q, dmp1, dmq1, iqmp;
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420 |
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421 | mp_init_multi(&p, &q, &dmp1, &dmq1, &iqmp, NULL);
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422 |
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423 | BN2mpz(&p, rsa->p);
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424 | BN2mpz(&q, rsa->q);
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425 | BN2mpz(&dmp1, rsa->dmp1);
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426 | BN2mpz(&dmq1, rsa->dmq1);
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427 | BN2mpz(&iqmp, rsa->iqmp);
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428 |
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429 | res = ltm_rsa_private_calculate(&in, &p, &q, &dmp1, &dmq1, &iqmp, &out);
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430 |
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431 | mp_clear_multi(&p, &q, &dmp1, &dmq1, &iqmp, NULL);
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432 |
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433 | if (res != 0) {
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434 | size = -3;
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435 | goto out;
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436 | }
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437 |
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438 | } else {
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439 | mp_int d;
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440 |
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441 | if(mp_isneg(&in) || mp_cmp(&in, &n) >= 0)
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442 | return -4;
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443 |
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444 | BN2mpz(&d, rsa->d);
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445 | res = mp_exptmod(&in, &d, &n, &out);
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446 | mp_clear(&d);
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447 | if (res != 0) {
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448 | size = -5;
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449 | goto out;
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450 | }
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451 | }
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452 |
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453 | if (do_unblind)
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454 | unblind(&out, &bi, &n);
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455 |
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456 | ptr = to;
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457 | {
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458 | size_t ssize;
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459 | ssize = mp_unsigned_bin_size(&out);
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460 | assert(size >= ssize);
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461 | mp_to_unsigned_bin(&out, ptr);
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462 | size = ssize;
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463 | }
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464 |
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465 | /* head zero was skipped by mp_int_to_unsigned */
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466 | if (*ptr != 2) {
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467 | size = -6;
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468 | goto out;
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469 | }
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470 | size--; ptr++;
|
---|
471 | while (size && *ptr != 0) {
|
---|
472 | size--; ptr++;
|
---|
473 | }
|
---|
474 | if (size == 0)
|
---|
475 | return -7;
|
---|
476 | size--; ptr++;
|
---|
477 |
|
---|
478 | memmove(to, ptr, size);
|
---|
479 |
|
---|
480 | out:
|
---|
481 | mp_clear_multi(&e, &n, &in, &out, &b, &bi, NULL);
|
---|
482 |
|
---|
483 | return size;
|
---|
484 | }
|
---|
485 |
|
---|
486 | static BIGNUM *
|
---|
487 | mpz2BN(mp_int *s)
|
---|
488 | {
|
---|
489 | size_t size;
|
---|
490 | BIGNUM *bn;
|
---|
491 | void *p;
|
---|
492 |
|
---|
493 | size = mp_unsigned_bin_size(s);
|
---|
494 | p = malloc(size);
|
---|
495 | if (p == NULL && size != 0)
|
---|
496 | return NULL;
|
---|
497 |
|
---|
498 | mp_to_unsigned_bin(s, p);
|
---|
499 |
|
---|
500 | bn = BN_bin2bn(p, size, NULL);
|
---|
501 | free(p);
|
---|
502 | return bn;
|
---|
503 | }
|
---|
504 |
|
---|
505 | #define CHECK(f, v) if ((f) != (v)) { goto out; }
|
---|
506 |
|
---|
507 | static int
|
---|
508 | ltm_rsa_generate_key(RSA *rsa, int bits, BIGNUM *e, BN_GENCB *cb)
|
---|
509 | {
|
---|
510 | mp_int el, p, q, n, d, dmp1, dmq1, iqmp, t1, t2, t3;
|
---|
511 | int counter, ret, bitsp;
|
---|
512 |
|
---|
513 | if (bits < 789)
|
---|
514 | return -1;
|
---|
515 |
|
---|
516 | bitsp = (bits + 1) / 2;
|
---|
517 |
|
---|
518 | ret = -1;
|
---|
519 |
|
---|
520 | mp_init_multi(&el, &p, &q, &n, &d,
|
---|
521 | &dmp1, &dmq1, &iqmp,
|
---|
522 | &t1, &t2, &t3, NULL);
|
---|
523 |
|
---|
524 | BN2mpz(&el, e);
|
---|
525 |
|
---|
526 | /* generate p and q so that p != q and bits(pq) ~ bits */
|
---|
527 | counter = 0;
|
---|
528 | do {
|
---|
529 | BN_GENCB_call(cb, 2, counter++);
|
---|
530 | CHECK(random_num(&p, bitsp), 0);
|
---|
531 | CHECK(mp_find_prime(&p), MP_YES);
|
---|
532 |
|
---|
533 | mp_sub_d(&p, 1, &t1);
|
---|
534 | mp_gcd(&t1, &el, &t2);
|
---|
535 | } while(mp_cmp_d(&t2, 1) != 0);
|
---|
536 |
|
---|
537 | BN_GENCB_call(cb, 3, 0);
|
---|
538 |
|
---|
539 | counter = 0;
|
---|
540 | do {
|
---|
541 | BN_GENCB_call(cb, 2, counter++);
|
---|
542 | CHECK(random_num(&q, bits - bitsp), 0);
|
---|
543 | CHECK(mp_find_prime(&q), MP_YES);
|
---|
544 |
|
---|
545 | if (mp_cmp(&p, &q) == 0) /* don't let p and q be the same */
|
---|
546 | continue;
|
---|
547 |
|
---|
548 | mp_sub_d(&q, 1, &t1);
|
---|
549 | mp_gcd(&t1, &el, &t2);
|
---|
550 | } while(mp_cmp_d(&t2, 1) != 0);
|
---|
551 |
|
---|
552 | /* make p > q */
|
---|
553 | if (mp_cmp(&p, &q) < 0) {
|
---|
554 | mp_int c;
|
---|
555 | c = p;
|
---|
556 | p = q;
|
---|
557 | q = c;
|
---|
558 | }
|
---|
559 |
|
---|
560 | BN_GENCB_call(cb, 3, 1);
|
---|
561 |
|
---|
562 | /* calculate n, n = p * q */
|
---|
563 | mp_mul(&p, &q, &n);
|
---|
564 |
|
---|
565 | /* calculate d, d = 1/e mod (p - 1)(q - 1) */
|
---|
566 | mp_sub_d(&p, 1, &t1);
|
---|
567 | mp_sub_d(&q, 1, &t2);
|
---|
568 | mp_mul(&t1, &t2, &t3);
|
---|
569 | mp_invmod(&el, &t3, &d);
|
---|
570 |
|
---|
571 | /* calculate dmp1 dmp1 = d mod (p-1) */
|
---|
572 | mp_mod(&d, &t1, &dmp1);
|
---|
573 | /* calculate dmq1 dmq1 = d mod (q-1) */
|
---|
574 | mp_mod(&d, &t2, &dmq1);
|
---|
575 | /* calculate iqmp iqmp = 1/q mod p */
|
---|
576 | mp_invmod(&q, &p, &iqmp);
|
---|
577 |
|
---|
578 | /* fill in RSA key */
|
---|
579 |
|
---|
580 | rsa->e = mpz2BN(&el);
|
---|
581 | rsa->p = mpz2BN(&p);
|
---|
582 | rsa->q = mpz2BN(&q);
|
---|
583 | rsa->n = mpz2BN(&n);
|
---|
584 | rsa->d = mpz2BN(&d);
|
---|
585 | rsa->dmp1 = mpz2BN(&dmp1);
|
---|
586 | rsa->dmq1 = mpz2BN(&dmq1);
|
---|
587 | rsa->iqmp = mpz2BN(&iqmp);
|
---|
588 |
|
---|
589 | ret = 1;
|
---|
590 |
|
---|
591 | out:
|
---|
592 | mp_clear_multi(&el, &p, &q, &n, &d,
|
---|
593 | &dmp1, &dmq1, &iqmp,
|
---|
594 | &t1, &t2, &t3, NULL);
|
---|
595 |
|
---|
596 | return ret;
|
---|
597 | }
|
---|
598 |
|
---|
599 | static int
|
---|
600 | ltm_rsa_init(RSA *rsa)
|
---|
601 | {
|
---|
602 | return 1;
|
---|
603 | }
|
---|
604 |
|
---|
605 | static int
|
---|
606 | ltm_rsa_finish(RSA *rsa)
|
---|
607 | {
|
---|
608 | return 1;
|
---|
609 | }
|
---|
610 |
|
---|
611 | const RSA_METHOD hc_rsa_ltm_method = {
|
---|
612 | "hcrypto ltm RSA",
|
---|
613 | ltm_rsa_public_encrypt,
|
---|
614 | ltm_rsa_public_decrypt,
|
---|
615 | ltm_rsa_private_encrypt,
|
---|
616 | ltm_rsa_private_decrypt,
|
---|
617 | NULL,
|
---|
618 | NULL,
|
---|
619 | ltm_rsa_init,
|
---|
620 | ltm_rsa_finish,
|
---|
621 | 0,
|
---|
622 | NULL,
|
---|
623 | NULL,
|
---|
624 | NULL,
|
---|
625 | ltm_rsa_generate_key
|
---|
626 | };
|
---|
627 |
|
---|
628 | const RSA_METHOD *
|
---|
629 | RSA_ltm_method(void)
|
---|
630 | {
|
---|
631 | return &hc_rsa_ltm_method;
|
---|
632 | }
|
---|