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comparison src/pk/rsa/rsa_make_key.c @ 191:1c15b283127b libtomcrypt-orig

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Import of libtomcrypt 1.02 with manual path rename rearrangement etc
author Matt Johnston <matt@ucc.asn.au>
date Fri, 06 May 2005 13:23:02 +0000
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children 39d5d58461d6
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143:5d99163f7e32 191:1c15b283127b
1 /* LibTomCrypt, modular cryptographic library -- Tom St Denis
2 *
3 * LibTomCrypt is a library that provides various cryptographic
4 * algorithms in a highly modular and flexible manner.
5 *
6 * The library is free for all purposes without any express
7 * guarantee it works.
8 *
9 * Tom St Denis, [email protected], http://libtomcrypt.org
10 */
11 #include "tomcrypt.h"
12
13 /**
14 @file rsa_make_key.c
15 RSA key generation, Tom St Denis
16 */
17
18 #ifdef MRSA
19
20 /**
21 Create an RSA key
22 @param prng An active PRNG state
23 @param wprng The index of the PRNG desired
24 @param size The size of the modulus (key size) desired (octets)
25 @param e The "e" value (public key). e==65537 is a good choice
26 @param key [out] Destination of a newly created private key pair
27 @return CRYPT_OK if successful, upon error all allocated ram is freed
28 */
29 int rsa_make_key(prng_state *prng, int wprng, int size, long e, rsa_key *key)
30 {
31 mp_int p, q, tmp1, tmp2, tmp3;
32 int err;
33
34 LTC_ARGCHK(key != NULL);
35
36 if ((size < (MIN_RSA_SIZE/8)) || (size > (MAX_RSA_SIZE/8))) {
37 return CRYPT_INVALID_KEYSIZE;
38 }
39
40 if ((e < 3) || ((e & 1) == 0)) {
41 return CRYPT_INVALID_ARG;
42 }
43
44 if ((err = prng_is_valid(wprng)) != CRYPT_OK) {
45 return err;
46 }
47
48 if ((err = mp_init_multi(&p, &q, &tmp1, &tmp2, &tmp3, NULL)) != MP_OKAY) {
49 return mpi_to_ltc_error(err);
50 }
51
52 /* make primes p and q (optimization provided by Wayne Scott) */
53 if ((err = mp_set_int(&tmp3, e)) != MP_OKAY) { goto error; } /* tmp3 = e */
54
55 /* make prime "p" */
56 do {
57 if ((err = rand_prime(&p, size*4, prng, wprng)) != CRYPT_OK) { goto done; }
58 if ((err = mp_sub_d(&p, 1, &tmp1)) != MP_OKAY) { goto error; } /* tmp1 = p-1 */
59 if ((err = mp_gcd(&tmp1, &tmp3, &tmp2)) != MP_OKAY) { goto error; } /* tmp2 = gcd(p-1, e) */
60 } while (mp_cmp_d(&tmp2, 1) != 0); /* while e divides p-1 */
61
62 /* make prime "q" */
63 do {
64 if ((err = rand_prime(&q, size*4, prng, wprng)) != CRYPT_OK) { goto done; }
65 if ((err = mp_sub_d(&q, 1, &tmp1)) != MP_OKAY) { goto error; } /* tmp1 = q-1 */
66 if ((err = mp_gcd(&tmp1, &tmp3, &tmp2)) != MP_OKAY) { goto error; } /* tmp2 = gcd(q-1, e) */
67 } while (mp_cmp_d(&tmp2, 1) != 0); /* while e divides q-1 */
68
69 /* tmp1 = lcm(p-1, q-1) */
70 if ((err = mp_sub_d(&p, 1, &tmp2)) != MP_OKAY) { goto error; } /* tmp2 = p-1 */
71 /* tmp1 = q-1 (previous do/while loop) */
72 if ((err = mp_lcm(&tmp1, &tmp2, &tmp1)) != MP_OKAY) { goto error; } /* tmp1 = lcm(p-1, q-1) */
73
74 /* make key */
75 if ((err = mp_init_multi(&key->e, &key->d, &key->N, &key->dQ, &key->dP,
76 &key->qP, &key->p, &key->q, NULL)) != MP_OKAY) {
77 goto error;
78 }
79
80 if ((err = mp_set_int(&key->e, e)) != MP_OKAY) { goto error2; } /* key->e = e */
81 if ((err = mp_invmod(&key->e, &tmp1, &key->d)) != MP_OKAY) { goto error2; } /* key->d = 1/e mod lcm(p-1,q-1) */
82 if ((err = mp_mul(&p, &q, &key->N)) != MP_OKAY) { goto error2; } /* key->N = pq */
83
84 /* optimize for CRT now */
85 /* find d mod q-1 and d mod p-1 */
86 if ((err = mp_sub_d(&p, 1, &tmp1)) != MP_OKAY) { goto error2; } /* tmp1 = q-1 */
87 if ((err = mp_sub_d(&q, 1, &tmp2)) != MP_OKAY) { goto error2; } /* tmp2 = p-1 */
88 if ((err = mp_mod(&key->d, &tmp1, &key->dP)) != MP_OKAY) { goto error2; } /* dP = d mod p-1 */
89 if ((err = mp_mod(&key->d, &tmp2, &key->dQ)) != MP_OKAY) { goto error2; } /* dQ = d mod q-1 */
90 if ((err = mp_invmod(&q, &p, &key->qP)) != MP_OKAY) { goto error2; } /* qP = 1/q mod p */
91
92 if ((err = mp_copy(&p, &key->p)) != MP_OKAY) { goto error2; }
93 if ((err = mp_copy(&q, &key->q)) != MP_OKAY) { goto error2; }
94
95 /* shrink ram required */
96 if ((err = mp_shrink(&key->e)) != MP_OKAY) { goto error2; }
97 if ((err = mp_shrink(&key->d)) != MP_OKAY) { goto error2; }
98 if ((err = mp_shrink(&key->N)) != MP_OKAY) { goto error2; }
99 if ((err = mp_shrink(&key->dQ)) != MP_OKAY) { goto error2; }
100 if ((err = mp_shrink(&key->dP)) != MP_OKAY) { goto error2; }
101 if ((err = mp_shrink(&key->qP)) != MP_OKAY) { goto error2; }
102 if ((err = mp_shrink(&key->p)) != MP_OKAY) { goto error2; }
103 if ((err = mp_shrink(&key->q)) != MP_OKAY) { goto error2; }
104
105 /* set key type (in this case it's CRT optimized) */
106 key->type = PK_PRIVATE;
107
108 /* return ok and free temps */
109 err = CRYPT_OK;
110 goto done;
111 error2:
112 mp_clear_multi(&key->d, &key->e, &key->N, &key->dQ, &key->dP,
113 &key->qP, &key->p, &key->q, NULL);
114 error:
115 err = mpi_to_ltc_error(err);
116 done:
117 mp_clear_multi(&tmp3, &tmp2, &tmp1, &p, &q, NULL);
118 return err;
119 }
120
121 #endif