annotate libtommath/bn_mp_prime_frobenius_underwood.c @ 1788:1fc0012b9c38

Fix handling of replies to global requests (#112) The current code assumes that all global requests want / need a reply. This isn't always true and the request itself indicates if it wants a reply or not. It causes a specific problem with [email protected] messages. These are sent by OpenSSH after authentication to inform the client of potential other host keys for the host. This can be used to add a new type of host key or to rotate host keys. The initial information message from the server is sent as a global request, but with want_reply set to false. This means that the server doesn't expect an answer to this message. Instead the client needs to send a prove request as a reply if it wants to receive proof of ownership for the host keys. The bug doesn't cause any current problems with due to how OpenSSH treats receiving the failure message. It instead treats it as a keepalive message and further ignores it. Arguably this is a protocol violation though of Dropbear and it is only accidental that it doesn't cause a problem with OpenSSH. The bug was found when adding host keys support to libssh, which is more strict protocol wise and treats the unexpected failure message an error, also see https://gitlab.com/libssh/libssh-mirror/-/merge_requests/145 for more information. The fix here is to honor the want_reply flag in the global request and to only send a reply if the other side expects a reply.
author Dirkjan Bussink <d.bussink@gmail.com>
date Thu, 10 Dec 2020 16:13:13 +0100
parents 1051e4eea25a
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
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1 #include "tommath_private.h"
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2 #ifdef BN_MP_PRIME_FROBENIUS_UNDERWOOD_C
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3
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4 /* LibTomMath, multiple-precision integer library -- Tom St Denis */
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5 /* SPDX-License-Identifier: Unlicense */
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6
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7 /*
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8 * See file bn_mp_prime_is_prime.c or the documentation in doc/bn.tex for the details
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9 */
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10 #ifndef LTM_USE_ONLY_MR
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11
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12 #ifdef MP_8BIT
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13 /*
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14 * floor of positive solution of
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15 * (2^16)-1 = (a+4)*(2*a+5)
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16 * TODO: Both values are smaller than N^(1/4), would have to use a bigint
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17 * for a instead but any a biger than about 120 are already so rare that
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18 * it is possible to ignore them and still get enough pseudoprimes.
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19 * But it is still a restriction of the set of available pseudoprimes
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20 * which makes this implementation less secure if used stand-alone.
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21 */
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22 #define LTM_FROBENIUS_UNDERWOOD_A 177
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23 #else
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24 #define LTM_FROBENIUS_UNDERWOOD_A 32764
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25 #endif
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26 mp_err mp_prime_frobenius_underwood(const mp_int *N, mp_bool *result)
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27 {
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28 mp_int T1z, T2z, Np1z, sz, tz;
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29
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30 int a, ap2, length, i, j;
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31 mp_err err;
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32
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33 *result = MP_NO;
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34
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35 if ((err = mp_init_multi(&T1z, &T2z, &Np1z, &sz, &tz, NULL)) != MP_OKAY) {
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36 return err;
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37 }
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38
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39 for (a = 0; a < LTM_FROBENIUS_UNDERWOOD_A; a++) {
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40 /* TODO: That's ugly! No, really, it is! */
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41 if ((a==2) || (a==4) || (a==7) || (a==8) || (a==10) ||
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42 (a==14) || (a==18) || (a==23) || (a==26) || (a==28)) {
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43 continue;
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44 }
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45 /* (32764^2 - 4) < 2^31, no bigint for >MP_8BIT needed) */
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46 mp_set_u32(&T1z, (uint32_t)a);
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47
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48 if ((err = mp_sqr(&T1z, &T1z)) != MP_OKAY) goto LBL_FU_ERR;
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49
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50 if ((err = mp_sub_d(&T1z, 4uL, &T1z)) != MP_OKAY) goto LBL_FU_ERR;
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51
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52 if ((err = mp_kronecker(&T1z, N, &j)) != MP_OKAY) goto LBL_FU_ERR;
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53
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54 if (j == -1) {
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55 break;
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56 }
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57
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58 if (j == 0) {
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59 /* composite */
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60 goto LBL_FU_ERR;
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61 }
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62 }
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63 /* Tell it a composite and set return value accordingly */
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64 if (a >= LTM_FROBENIUS_UNDERWOOD_A) {
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65 err = MP_ITER;
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66 goto LBL_FU_ERR;
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67 }
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68 /* Composite if N and (a+4)*(2*a+5) are not coprime */
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69 mp_set_u32(&T1z, (uint32_t)((a+4)*((2*a)+5)));
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70
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71 if ((err = mp_gcd(N, &T1z, &T1z)) != MP_OKAY) goto LBL_FU_ERR;
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72
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73 if (!((T1z.used == 1) && (T1z.dp[0] == 1u))) goto LBL_FU_ERR;
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74
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75 ap2 = a + 2;
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76 if ((err = mp_add_d(N, 1uL, &Np1z)) != MP_OKAY) goto LBL_FU_ERR;
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77
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78 mp_set(&sz, 1uL);
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79 mp_set(&tz, 2uL);
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80 length = mp_count_bits(&Np1z);
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81
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82 for (i = length - 2; i >= 0; i--) {
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83 /*
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84 * temp = (sz*(a*sz+2*tz))%N;
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85 * tz = ((tz-sz)*(tz+sz))%N;
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86 * sz = temp;
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87 */
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88 if ((err = mp_mul_2(&tz, &T2z)) != MP_OKAY) goto LBL_FU_ERR;
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89
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90 /* a = 0 at about 50% of the cases (non-square and odd input) */
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91 if (a != 0) {
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92 if ((err = mp_mul_d(&sz, (mp_digit)a, &T1z)) != MP_OKAY) goto LBL_FU_ERR;
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93 if ((err = mp_add(&T1z, &T2z, &T2z)) != MP_OKAY) goto LBL_FU_ERR;
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94 }
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95
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96 if ((err = mp_mul(&T2z, &sz, &T1z)) != MP_OKAY) goto LBL_FU_ERR;
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97 if ((err = mp_sub(&tz, &sz, &T2z)) != MP_OKAY) goto LBL_FU_ERR;
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98 if ((err = mp_add(&sz, &tz, &sz)) != MP_OKAY) goto LBL_FU_ERR;
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99 if ((err = mp_mul(&sz, &T2z, &tz)) != MP_OKAY) goto LBL_FU_ERR;
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100 if ((err = mp_mod(&tz, N, &tz)) != MP_OKAY) goto LBL_FU_ERR;
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101 if ((err = mp_mod(&T1z, N, &sz)) != MP_OKAY) goto LBL_FU_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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102 if (s_mp_get_bit(&Np1z, (unsigned int)i) == MP_YES) {
1655
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103 /*
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104 * temp = (a+2) * sz + tz
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105 * tz = 2 * tz - sz
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106 * sz = temp
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107 */
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108 if (a == 0) {
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109 if ((err = mp_mul_2(&sz, &T1z)) != MP_OKAY) goto LBL_FU_ERR;
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110 } else {
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111 if ((err = mp_mul_d(&sz, (mp_digit)ap2, &T1z)) != MP_OKAY) goto LBL_FU_ERR;
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112 }
1692
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diff changeset
113 if ((err = mp_add(&T1z, &tz, &T1z)) != MP_OKAY) goto LBL_FU_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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114 if ((err = mp_mul_2(&tz, &T2z)) != MP_OKAY) goto LBL_FU_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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115 if ((err = mp_sub(&T2z, &sz, &tz)) != MP_OKAY) goto LBL_FU_ERR;
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116 mp_exch(&sz, &T1z);
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117 }
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118 }
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119
1692
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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120 mp_set_u32(&T1z, (uint32_t)((2 * a) + 5));
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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121 if ((err = mp_mod(&T1z, N, &T1z)) != MP_OKAY) goto LBL_FU_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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diff changeset
122 if (MP_IS_ZERO(&sz) && (mp_cmp(&tz, &T1z) == MP_EQ)) {
1655
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diff changeset
123 *result = MP_YES;
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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124 }
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diff changeset
125
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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126 LBL_FU_ERR:
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
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127 mp_clear_multi(&tz, &sz, &Np1z, &T2z, &T1z, NULL);
1692
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128 return err;
1655
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129 }
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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130
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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131 #endif
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132 #endif