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annotate rsa_make_key.c @ 8:059ec00f32a1 libtomcrypt

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Missing ranlib in makefile for library
author Matt Johnston <matt@ucc.asn.au>
date Wed, 02 Jun 2004 08:31:25 +0000
parents d7da3b1e1540
children 6362d3854bb4
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0
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1 /* LibTomCrypt, modular cryptographic library -- Tom St Denis
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2 *
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3 * LibTomCrypt is a library that provides various cryptographic
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4 * algorithms in a highly modular and flexible manner.
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5 *
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6 * The library is free for all purposes without any express
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7 * guarantee it works.
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8 *
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9 * Tom St Denis, [email protected], http://libtomcrypt.org
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10 */
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11
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12 /* RSA Code by Tom St Denis */
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13 #include "mycrypt.h"
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14
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15 #ifdef MRSA
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16
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17 int rsa_make_key(prng_state *prng, int wprng, int size, long e, rsa_key *key)
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18 {
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19 mp_int p, q, tmp1, tmp2, tmp3;
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20 int err;
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21
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22 _ARGCHK(key != NULL);
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23
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24 if ((size < (MIN_RSA_SIZE/8)) || (size > (MAX_RSA_SIZE/8))) {
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25 return CRYPT_INVALID_KEYSIZE;
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26 }
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27
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28 if ((e < 3) || ((e & 1) == 0)) {
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29 return CRYPT_INVALID_ARG;
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30 }
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31
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32 if ((err = prng_is_valid(wprng)) != CRYPT_OK) {
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33 return err;
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34 }
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35
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36 if ((err = mp_init_multi(&p, &q, &tmp1, &tmp2, &tmp3, NULL)) != MP_OKAY) {
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37 return mpi_to_ltc_error(err);
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38 }
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39
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40 /* make primes p and q (optimization provided by Wayne Scott) */
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41 if ((err = mp_set_int(&tmp3, e)) != MP_OKAY) { goto error; } /* tmp3 = e */
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42
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43 /* make prime "p" */
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44 do {
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45 if ((err = rand_prime(&p, size*4, prng, wprng)) != CRYPT_OK) { goto done; }
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46 if ((err = mp_sub_d(&p, 1, &tmp1)) != MP_OKAY) { goto error; } /* tmp1 = p-1 */
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47 if ((err = mp_gcd(&tmp1, &tmp3, &tmp2)) != MP_OKAY) { goto error; } /* tmp2 = gcd(p-1, e) */
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48 } while (mp_cmp_d(&tmp2, 1) != 0); /* while e divides p-1 */
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49
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50 /* make prime "q" */
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51 do {
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52 if ((err = rand_prime(&q, size*4, prng, wprng)) != CRYPT_OK) { goto done; }
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53 if ((err = mp_sub_d(&q, 1, &tmp1)) != MP_OKAY) { goto error; } /* tmp1 = q-1 */
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54 if ((err = mp_gcd(&tmp1, &tmp3, &tmp2)) != MP_OKAY) { goto error; } /* tmp2 = gcd(q-1, e) */
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55 } while (mp_cmp_d(&tmp2, 1) != 0); /* while e divides q-1 */
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56
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57 /* tmp1 = lcm(p-1, q-1) */
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58 if ((err = mp_sub_d(&p, 1, &tmp2)) != MP_OKAY) { goto error; } /* tmp2 = p-1 */
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59 /* tmp1 = q-1 (previous do/while loop) */
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60 if ((err = mp_lcm(&tmp1, &tmp2, &tmp1)) != MP_OKAY) { goto error; } /* tmp1 = lcm(p-1, q-1) */
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61
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62 /* make key */
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63 if ((err = mp_init_multi(&key->e, &key->d, &key->N, &key->dQ, &key->dP,
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64 &key->qP, &key->pQ, &key->p, &key->q, NULL)) != MP_OKAY) {
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65 goto error;
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66 }
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67
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68 if ((err = mp_set_int(&key->e, e)) != MP_OKAY) { goto error2; } /* key->e = e */
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69 if ((err = mp_invmod(&key->e, &tmp1, &key->d)) != MP_OKAY) { goto error2; } /* key->d = 1/e mod lcm(p-1,q-1) */
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70 if ((err = mp_mul(&p, &q, &key->N)) != MP_OKAY) { goto error2; } /* key->N = pq */
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71
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72 /* optimize for CRT now */
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73 /* find d mod q-1 and d mod p-1 */
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74 if ((err = mp_sub_d(&p, 1, &tmp1)) != MP_OKAY) { goto error2; } /* tmp1 = q-1 */
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75 if ((err = mp_sub_d(&q, 1, &tmp2)) != MP_OKAY) { goto error2; } /* tmp2 = p-1 */
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76
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77 if ((err = mp_mod(&key->d, &tmp1, &key->dP)) != MP_OKAY) { goto error2; } /* dP = d mod p-1 */
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78 if ((err = mp_mod(&key->d, &tmp2, &key->dQ)) != MP_OKAY) { goto error2; } /* dQ = d mod q-1 */
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79
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80 if ((err = mp_invmod(&q, &p, &key->qP)) != MP_OKAY) { goto error2; } /* qP = 1/q mod p */
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81 if ((err = mp_mulmod(&key->qP, &q, &key->N, &key->qP)) != MP_OKAY) { goto error2; } /* qP = q * (1/q mod p) mod N */
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82
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83 if ((err = mp_invmod(&p, &q, &key->pQ)) != MP_OKAY) { goto error2; } /* pQ = 1/p mod q */
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84 if ((err = mp_mulmod(&key->pQ, &p, &key->N, &key->pQ)) != MP_OKAY) { goto error2; } /* pQ = p * (1/p mod q) mod N */
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85
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86 if ((err = mp_copy(&p, &key->p)) != MP_OKAY) { goto error2; }
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87 if ((err = mp_copy(&q, &key->q)) != MP_OKAY) { goto error2; }
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88
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89 /* shrink ram required */
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90 if ((err = mp_shrink(&key->e)) != MP_OKAY) { goto error2; }
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91 if ((err = mp_shrink(&key->d)) != MP_OKAY) { goto error2; }
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92 if ((err = mp_shrink(&key->N)) != MP_OKAY) { goto error2; }
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93 if ((err = mp_shrink(&key->dQ)) != MP_OKAY) { goto error2; }
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94 if ((err = mp_shrink(&key->dP)) != MP_OKAY) { goto error2; }
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95 if ((err = mp_shrink(&key->qP)) != MP_OKAY) { goto error2; }
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96 if ((err = mp_shrink(&key->pQ)) != MP_OKAY) { goto error2; }
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97 if ((err = mp_shrink(&key->p)) != MP_OKAY) { goto error2; }
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98 if ((err = mp_shrink(&key->q)) != MP_OKAY) { goto error2; }
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99
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100 err = CRYPT_OK;
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101 key->type = PK_PRIVATE_OPTIMIZED;
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102 goto done;
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103 error2:
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104 mp_clear_multi(&key->d, &key->e, &key->N, &key->dQ, &key->dP,
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105 &key->qP, &key->pQ, &key->p, &key->q, NULL);
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106 error:
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107 err = mpi_to_ltc_error(err);
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108 done:
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109 mp_clear_multi(&tmp3, &tmp2, &tmp1, &p, &q, NULL);
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110 return err;
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111 }
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112
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113 #endif