Mercurial > dropbear

annotate libtommath/bn_mp_dr_reduce.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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diff changeset
1 #include <tommath.h>
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2 #ifdef BN_MP_DR_REDUCE_C
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3 /* LibTomMath, multiple-precision integer library -- Tom St Denis
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4 *
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5 * LibTomMath is a library that provides multiple-precision
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6 * integer arithmetic as well as number theoretic functionality.
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7 *
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8 * The library was designed directly after the MPI library by
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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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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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18 /* reduce "x" in place modulo "n" using the Diminished Radix algorithm.
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19 *
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20 * Based on algorithm from the paper
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21 *
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22 * "Generating Efficient Primes for Discrete Log Cryptosystems"
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23 * Chae Hoon Lim, Pil Joong Lee,
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24 * POSTECH Information Research Laboratories
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25 *
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26 * The modulus must be of a special format [see manual]
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27 *
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28 * Has been modified to use algorithm 7.10 from the LTM book instead
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29 *
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30 * Input x must be in the range 0 <= x <= (n-1)**2
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31 */
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32 int
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33 mp_dr_reduce (mp_int * x, mp_int * n, mp_digit k)
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34 {
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35 int err, i, m;
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36 mp_word r;
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37 mp_digit mu, *tmpx1, *tmpx2;
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38
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39 /* m = digits in modulus */
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40 m = n->used;
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41
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42 /* ensure that "x" has at least 2m digits */
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43 if (x->alloc < m + m) {
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44 if ((err = mp_grow (x, m + m)) != MP_OKAY) {
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45 return err;
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46 }
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47 }
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48
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49 /* top of loop, this is where the code resumes if
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50 * another reduction pass is required.
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51 */
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52 top:
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53 /* aliases for digits */
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54 /* alias for lower half of x */
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55 tmpx1 = x->dp;
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56
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57 /* alias for upper half of x, or x/B**m */
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58 tmpx2 = x->dp + m;
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59
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60 /* set carry to zero */
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61 mu = 0;
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62
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63 /* compute (x mod B**m) + k * [x/B**m] inline and inplace */
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64 for (i = 0; i < m; i++) {
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65 r = ((mp_word)*tmpx2++) * ((mp_word)k) + *tmpx1 + mu;
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66 *tmpx1++ = (mp_digit)(r & MP_MASK);
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67 mu = (mp_digit)(r >> ((mp_word)DIGIT_BIT));
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68 }
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69
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70 /* set final carry */
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71 *tmpx1++ = mu;
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72
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73 /* zero words above m */
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74 for (i = m + 1; i < x->used; i++) {
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75 *tmpx1++ = 0;
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76 }
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77
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78 /* clamp, sub and return */
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79 mp_clamp (x);
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80
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81 /* if x >= n then subtract and reduce again
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82 * Each successive "recursion" makes the input smaller and smaller.
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83 */
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84 if (mp_cmp_mag (x, n) != MP_LT) {
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85 s_mp_sub(x, n, x);
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86 goto top;
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87 }
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88 return MP_OKAY;
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89 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
90 #endif
389
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
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91
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
92 /* $Source: /cvs/libtom/libtommath/bn_mp_dr_reduce.c,v $ */
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
93 /* $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
94 /* $Date: 2006/03/31 14:18:44 $ */