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annotate genrsa.c @ 56:6f091656c100

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author Matt Johnston <matt@ucc.asn.au>
date Sun, 08 Aug 2004 16:57:00 +0000
parents fe6bca95afa7
children 29a5c7c62350
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4
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1 /*
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2 * Dropbear - a SSH2 server
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3 *
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4 * Copyright (c) 2002,2003 Matt Johnston
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5 * All rights reserved.
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6 *
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7 * Permission is hereby granted, free of charge, to any person obtaining a copy
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8 * of this software and associated documentation files (the "Software"), to deal
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9 * in the Software without restriction, including without limitation the rights
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10 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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11 * copies of the Software, and to permit persons to whom the Software is
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12 * furnished to do so, subject to the following conditions:
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13 *
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14 * The above copyright notice and this permission notice shall be included in
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15 * all copies or substantial portions of the Software.
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16 *
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17 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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18 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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19 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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20 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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21 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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22 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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23 * SOFTWARE. */
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24
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25 #include "includes.h"
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26 #include "dbutil.h"
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27 #include "bignum.h"
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28 #include "random.h"
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29 #include "rsa.h"
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30 #include "genrsa.h"
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31
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32 #define RSA_E 65537
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33
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34 #ifdef DROPBEAR_RSA
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35
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36 static void getrsaprime(mp_int* prime, mp_int *primeminus,
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37 mp_int* rsa_e, unsigned int size);
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38
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39 /* mostly taken from libtomcrypt's rsa key generation routine */
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40 rsa_key * gen_rsa_priv_key(unsigned int size) {
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41
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42 rsa_key * key;
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43 mp_int pminus, qminus, lcm;
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44
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45 key = (rsa_key*)m_malloc(sizeof(rsa_key));
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46
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47 key->e = (mp_int*)m_malloc(sizeof(mp_int));
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48 key->n = (mp_int*)m_malloc(sizeof(mp_int));
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49 key->d = (mp_int*)m_malloc(sizeof(mp_int));
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50 key->p = (mp_int*)m_malloc(sizeof(mp_int));
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51 key->q = (mp_int*)m_malloc(sizeof(mp_int));
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52
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53 m_mp_init_multi(key->e, key->n, key->d, key->p, key->q,
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54 &pminus, &lcm, &qminus, NULL);
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55
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56 seedrandom();
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57
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58 if (mp_set_int(key->e, RSA_E) != MP_OKAY) {
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59 fprintf(stderr, "rsa generation failed\n");
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60 exit(1);
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61 }
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62
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63 /* PuTTY doesn't like it if the modulus isn't a multiple of 8 bits,
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64 * so we just generate them until we get one which is OK */
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65 getrsaprime(key->p, &pminus, key->e, size/2);
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66 do {
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67 getrsaprime(key->q, &qminus, key->e, size/2);
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68
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69 if (mp_mul(key->p, key->q, key->n) != MP_OKAY) {
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70 fprintf(stderr, "rsa generation failed\n");
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71 exit(1);
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72 }
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73 } while (mp_count_bits(key->n) % 8 != 0);
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74
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75 /* lcm(p-1, q-1) */
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76 if (mp_lcm(&pminus, &qminus, &lcm) != MP_OKAY) {
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77 fprintf(stderr, "rsa generation failed\n");
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78 exit(1);
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79 }
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80
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81 /* de = 1 mod lcm(p-1,q-1) */
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82 /* therefore d = (e^-1) mod lcm(p-1,q-1) */
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83 if (mp_invmod(key->e, &lcm, key->d) != MP_OKAY) {
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84 fprintf(stderr, "rsa generation failed\n");
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85 exit(1);
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86 }
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87
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88 mp_clear_multi(&pminus, &qminus, &lcm, NULL);
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89
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90 return key;
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91 }
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92
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93 /* return a prime suitable for p or q */
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94 static void getrsaprime(mp_int* prime, mp_int *primeminus,
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95 mp_int* rsa_e, unsigned int size) {
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96
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97 unsigned char *buf;
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98 mp_int temp_gcd;
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99
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100 buf = (unsigned char*)m_malloc(size+1);
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101
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102 m_mp_init(&temp_gcd);
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103 do {
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104 /* generate a random odd number with MSB set, then find the
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105 the next prime above it */
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106 genrandom(buf, size+1);
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107 buf[0] |= 0x80; /* MSB set */
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108
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109 if (mp_read_unsigned_bin(prime, buf, size+1) != MP_OKAY) {
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110 fprintf(stderr, "rsa generation failed\n");
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111 exit(1);
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112 }
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113
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114 /* find the next integer which is prime, 8 round of miller-rabin */
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115 if (mp_prime_next_prime(prime, 8, 0) != MP_OKAY) {
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116 fprintf(stderr, "rsa generation failed\n");
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117 exit(1);
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118 }
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119
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120 /* subtract one to get p-1 */
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121 if (mp_sub_d(prime, 1, primeminus) != MP_OKAY) {
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122 fprintf(stderr, "rsa generation failed\n");
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123 exit(1);
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124 }
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125 /* check relative primality to e */
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126 if (mp_gcd(primeminus, rsa_e, &temp_gcd) != MP_OKAY) {
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127 fprintf(stderr, "rsa generation failed\n");
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128 exit(1);
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129 }
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130 } while (mp_cmp_d(&temp_gcd, 1) != MP_EQ); /* while gcd(p-1, e) != 1 */
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131
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132 /* now we have a good value for result */
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133 mp_clear(&temp_gcd);
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134 m_burn(buf, size+1);
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135 m_free(buf);
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136 }
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137
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138 #endif /* DROPBEAR_RSA */