Mercurial > dropbear

annotate libtommath/bn_mp_jacobi.c @ 994:5c5ade336926

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Prefer stronger algorithms in algorithm negotiation. Prefer diffie-hellman-group14-sha1 (2048 bit) over diffie-hellman-group1-sha1 (1024 bit). Due to meet-in-the-middle attacks the effective key length of three key 3DES is 112 bits. AES is stronger and faster then 3DES. Prefer to delay the start of compression until after authentication has completed. This avoids exposing compression code to attacks from unauthenticated users. (github pull request #9)
author Fedor Brunner <fedor.brunner@azet.sk>
date Fri, 23 Jan 2015 23:00:25 +0800
parents 5ff8218bcee9
children 60fc6476e044
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
284
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parents:
diff changeset
1 #include <tommath.h>
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2 #ifdef BN_MP_JACOBI_C
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3 /* LibTomMath, multiple-precision integer library -- Tom St Denis
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diff changeset
4 *
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5 * LibTomMath is a library that provides multiple-precision
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diff changeset
6 * integer arithmetic as well as number theoretic functionality.
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7 *
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diff changeset
8 * The library was designed directly after the MPI library by
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diff changeset
9 * Michael Fromberger but has been written from scratch with
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10 * additional optimizations in place.
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11 *
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12 * The library is free for all purposes without any express
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13 * guarantee it works.
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14 *
389
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parents: 284
diff changeset
15 * Tom St Denis, [email protected], http://math.libtomcrypt.com
284
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16 */
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17
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
18 /* computes the jacobi c = (a | n) (or Legendre if n is prime)
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19 * HAC pp. 73 Algorithm 2.149
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20 */
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21 int mp_jacobi (mp_int * a, mp_int * p, int *c)
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22 {
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23 mp_int a1, p1;
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24 int k, s, r, res;
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25 mp_digit residue;
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26
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Matt Johnston <matt@ucc.asn.au>
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27 /* if p <= 0 return MP_VAL */
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28 if (mp_cmp_d(p, 0) != MP_GT) {
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Matt Johnston <matt@ucc.asn.au>
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29 return MP_VAL;
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Matt Johnston <matt@ucc.asn.au>
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30 }
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Matt Johnston <matt@ucc.asn.au>
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31
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Matt Johnston <matt@ucc.asn.au>
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32 /* step 1. if a == 0, return 0 */
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Matt Johnston <matt@ucc.asn.au>
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33 if (mp_iszero (a) == 1) {
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Matt Johnston <matt@ucc.asn.au>
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34 *c = 0;
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Matt Johnston <matt@ucc.asn.au>
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35 return MP_OKAY;
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Matt Johnston <matt@ucc.asn.au>
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36 }
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Matt Johnston <matt@ucc.asn.au>
parents:
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37
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Matt Johnston <matt@ucc.asn.au>
parents:
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38 /* step 2. if a == 1, return 1 */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
39 if (mp_cmp_d (a, 1) == MP_EQ) {
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Matt Johnston <matt@ucc.asn.au>
parents:
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40 *c = 1;
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Matt Johnston <matt@ucc.asn.au>
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41 return MP_OKAY;
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42 }
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Matt Johnston <matt@ucc.asn.au>
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43
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44 /* default */
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45 s = 0;
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46
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Matt Johnston <matt@ucc.asn.au>
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47 /* step 3. write a = a1 * 2**k */
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diff changeset
48 if ((res = mp_init_copy (&a1, a)) != MP_OKAY) {
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Matt Johnston <matt@ucc.asn.au>
parents:
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49 return res;
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50 }
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Matt Johnston <matt@ucc.asn.au>
parents:
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51
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
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diff changeset
52 if ((res = mp_init (&p1)) != MP_OKAY) {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
53 goto LBL_A1;
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Matt Johnston <matt@ucc.asn.au>
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54 }
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parents:
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55
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parents:
diff changeset
56 /* divide out larger power of two */
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57 k = mp_cnt_lsb(&a1);
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parents:
diff changeset
58 if ((res = mp_div_2d(&a1, k, &a1, NULL)) != MP_OKAY) {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
59 goto LBL_P1;
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Matt Johnston <matt@ucc.asn.au>
parents:
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60 }
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parents:
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61
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parents:
diff changeset
62 /* step 4. if e is even set s=1 */
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parents:
diff changeset
63 if ((k & 1) == 0) {
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parents:
diff changeset
64 s = 1;
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
65 } else {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
66 /* else set s=1 if p = 1/7 (mod 8) or s=-1 if p = 3/5 (mod 8) */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
67 residue = p->dp[0] & 7;
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
68
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
69 if (residue == 1 || residue == 7) {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
70 s = 1;
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
71 } else if (residue == 3 || residue == 5) {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
72 s = -1;
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
73 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
74 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
75
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
76 /* step 5. if p == 3 (mod 4) *and* a1 == 3 (mod 4) then s = -s */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
77 if ( ((p->dp[0] & 3) == 3) && ((a1.dp[0] & 3) == 3)) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
78 s = -s;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
79 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
80
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
81 /* if a1 == 1 we're done */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
82 if (mp_cmp_d (&a1, 1) == MP_EQ) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
83 *c = s;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
84 } else {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
85 /* n1 = n mod a1 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
86 if ((res = mp_mod (p, &a1, &p1)) != MP_OKAY) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
87 goto LBL_P1;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
88 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
89 if ((res = mp_jacobi (&p1, &a1, &r)) != MP_OKAY) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
90 goto LBL_P1;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
91 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
92 *c = s * r;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
93 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
94
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
95 /* done */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
96 res = MP_OKAY;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
97 LBL_P1:mp_clear (&p1);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
98 LBL_A1:mp_clear (&a1);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
99 return res;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
100 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
101 #endif
389
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
102
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
103 /* $Source: /cvs/libtom/libtommath/bn_mp_jacobi.c,v $ */
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
104 /* $Revision: 1.3 $ */
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
105 /* $Date: 2006/03/31 14:18:44 $ */