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annotate libtommath/bn_mp_prime_is_prime.c @ 1788:1fc0012b9c38

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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_IS_PRIME_C
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3 /* LibTomMath, multiple-precision integer library -- Tom St Denis */
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4 /* SPDX-License-Identifier: Unlicense */
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5
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6 /* portable integer log of two with small footprint */
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7 static unsigned int s_floor_ilog2(int value)
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8 {
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9 unsigned int r = 0;
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10 while ((value >>= 1) != 0) {
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11 r++;
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12 }
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13 return r;
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14 }
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16
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17 mp_err mp_prime_is_prime(const mp_int *a, int t, mp_bool *result)
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18 {
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19 mp_int b;
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20 int ix, p_max = 0, size_a, len;
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21 mp_bool res;
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22 mp_err err;
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23 unsigned int fips_rand, mask;
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25 /* default to no */
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26 *result = MP_NO;
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27
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28 /* Some shortcuts */
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29 /* N > 3 */
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30 if (a->used == 1) {
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31 if ((a->dp[0] == 0u) || (a->dp[0] == 1u)) {
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32 *result = MP_NO;
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33 return MP_OKAY;
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34 }
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35 if (a->dp[0] == 2u) {
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36 *result = MP_YES;
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37 return MP_OKAY;
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38 }
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39 }
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41 /* N must be odd */
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42 if (MP_IS_EVEN(a)) {
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43 return MP_OKAY;
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44 }
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45 /* N is not a perfect square: floor(sqrt(N))^2 != N */
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46 if ((err = mp_is_square(a, &res)) != MP_OKAY) {
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47 return err;
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48 }
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49 if (res != MP_NO) {
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50 return MP_OKAY;
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51 }
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52
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53 /* is the input equal to one of the primes in the table? */
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54 for (ix = 0; ix < PRIVATE_MP_PRIME_TAB_SIZE; ix++) {
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55 if (mp_cmp_d(a, s_mp_prime_tab[ix]) == MP_EQ) {
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56 *result = MP_YES;
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57 return MP_OKAY;
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58 }
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59 }
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60 #ifdef MP_8BIT
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61 /* The search in the loop above was exhaustive in this case */
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62 if ((a->used == 1) && (PRIVATE_MP_PRIME_TAB_SIZE >= 31)) {
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63 return MP_OKAY;
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64 }
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65 #endif
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66
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67 /* first perform trial division */
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68 if ((err = s_mp_prime_is_divisible(a, &res)) != MP_OKAY) {
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69 return err;
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70 }
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71
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72 /* return if it was trivially divisible */
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73 if (res == MP_YES) {
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74 return MP_OKAY;
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75 }
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76
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77 /*
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78 Run the Miller-Rabin test with base 2 for the BPSW test.
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79 */
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80 if ((err = mp_init_set(&b, 2uL)) != MP_OKAY) {
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81 return err;
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82 }
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83
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84 if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) {
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85 goto LBL_B;
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86 }
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87 if (res == MP_NO) {
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88 goto LBL_B;
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89 }
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90 /*
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91 Rumours have it that Mathematica does a second M-R test with base 3.
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92 Other rumours have it that their strong L-S test is slightly different.
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93 It does not hurt, though, beside a bit of extra runtime.
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94 */
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95 b.dp[0]++;
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96 if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) {
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97 goto LBL_B;
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98 }
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99 if (res == MP_NO) {
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100 goto LBL_B;
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101 }
284
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parents:
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102
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parents: 1470
diff changeset
103 /*
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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diff changeset
104 * Both, the Frobenius-Underwood test and the the Lucas-Selfridge test are quite
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1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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105 * slow so if speed is an issue, define LTM_USE_ONLY_MR to use M-R tests with
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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diff changeset
106 * bases 2, 3 and t random bases.
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
107 */
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1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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diff changeset
108 #ifndef LTM_USE_ONLY_MR
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109 if (t >= 0) {
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diff changeset
110 /*
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111 * Use a Frobenius-Underwood test instead of the Lucas-Selfridge test for
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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112 * MP_8BIT (It is unknown if the Lucas-Selfridge test works with 16-bit
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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113 * integers but the necesssary analysis is on the todo-list).
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114 */
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115 #if defined (MP_8BIT) || defined (LTM_USE_FROBENIUS_TEST)
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116 err = mp_prime_frobenius_underwood(a, &res);
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117 if ((err != MP_OKAY) && (err != MP_ITER)) {
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118 goto LBL_B;
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119 }
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120 if (res == MP_NO) {
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121 goto LBL_B;
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122 }
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123 #else
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124 if ((err = mp_prime_strong_lucas_selfridge(a, &res)) != MP_OKAY) {
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125 goto LBL_B;
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126 }
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127 if (res == MP_NO) {
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128 goto LBL_B;
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129 }
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130 #endif
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131 }
284
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parents:
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132 #endif
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133
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134 /* run at least one Miller-Rabin test with a random base */
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135 if (t == 0) {
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136 t = 1;
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Steffen Jaeckel <s_jaeckel@gmx.de>
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137 }
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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138
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139 /*
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140 Only recommended if the input range is known to be < 3317044064679887385961981
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141
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142 It uses the bases necessary for a deterministic M-R test if the input is
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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143 smaller than 3317044064679887385961981
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144 The caller has to check the size.
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145 TODO: can be made a bit finer grained but comparing is not free.
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146 */
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147 if (t < 0) {
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148 /*
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149 Sorenson, Jonathan; Webster, Jonathan (2015).
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150 "Strong Pseudoprimes to Twelve Prime Bases".
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151 */
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152 /* 0x437ae92817f9fc85b7e5 = 318665857834031151167461 */
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153 if ((err = mp_read_radix(&b, "437ae92817f9fc85b7e5", 16)) != MP_OKAY) {
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154 goto LBL_B;
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Steffen Jaeckel <s_jaeckel@gmx.de>
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155 }
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156
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157 if (mp_cmp(a, &b) == MP_LT) {
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158 p_max = 12;
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159 } else {
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160 /* 0x2be6951adc5b22410a5fd = 3317044064679887385961981 */
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diff changeset
161 if ((err = mp_read_radix(&b, "2be6951adc5b22410a5fd", 16)) != MP_OKAY) {
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diff changeset
162 goto LBL_B;
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
163 }
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diff changeset
164
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diff changeset
165 if (mp_cmp(a, &b) == MP_LT) {
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diff changeset
166 p_max = 13;
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diff changeset
167 } else {
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diff changeset
168 err = MP_VAL;
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169 goto LBL_B;
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170 }
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diff changeset
171 }
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diff changeset
172
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173 /* we did bases 2 and 3 already, skip them */
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diff changeset
174 for (ix = 2; ix < p_max; ix++) {
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1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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diff changeset
175 mp_set(&b, s_mp_prime_tab[ix]);
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f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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diff changeset
176 if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) {
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diff changeset
177 goto LBL_B;
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178 }
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diff changeset
179 if (res == MP_NO) {
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diff changeset
180 goto LBL_B;
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
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181 }
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diff changeset
182 }
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Steffen Jaeckel <s_jaeckel@gmx.de>
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diff changeset
183 }
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Steffen Jaeckel <s_jaeckel@gmx.de>
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diff changeset
184 /*
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Steffen Jaeckel <s_jaeckel@gmx.de>
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diff changeset
185 Do "t" M-R tests with random bases between 3 and "a".
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diff changeset
186 See Fips 186.4 p. 126ff
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diff changeset
187 */
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
188 else if (t > 0) {
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
189 /*
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parents: 1470
diff changeset
190 * The mp_digit's have a defined bit-size but the size of the
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
191 * array a.dp is a simple 'int' and this library can not assume full
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
192 * compliance to the current C-standard (ISO/IEC 9899:2011) because
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents: 1470
diff changeset
193 * it gets used for small embeded processors, too. Some of those MCUs
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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diff changeset
194 * have compilers that one cannot call standard compliant by any means.
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Steffen Jaeckel <s_jaeckel@gmx.de>
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diff changeset
195 * Hence the ugly type-fiddling in the following code.
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Steffen Jaeckel <s_jaeckel@gmx.de>
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diff changeset
196 */
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
197 size_a = mp_count_bits(a);
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diff changeset
198 mask = (1u << s_floor_ilog2(size_a)) - 1u;
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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diff changeset
199 /*
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Steffen Jaeckel <s_jaeckel@gmx.de>
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diff changeset
200 Assuming the General Rieman hypothesis (never thought to write that in a
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Steffen Jaeckel <s_jaeckel@gmx.de>
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diff changeset
201 comment) the upper bound can be lowered to 2*(log a)^2.
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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diff changeset
202 E. Bach, "Explicit bounds for primality testing and related problems,"
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
203 Math. Comp. 55 (1990), 355-380.
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diff changeset
204
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
205 size_a = (size_a/10) * 7;
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Steffen Jaeckel <s_jaeckel@gmx.de>
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diff changeset
206 len = 2 * (size_a * size_a);
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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207
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diff changeset
208 E.g.: a number of size 2^2048 would be reduced to the upper limit
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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diff changeset
209
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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diff changeset
210 floor(2048/10)*7 = 1428
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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diff changeset
211 2 * 1428^2 = 4078368
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diff changeset
212
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diff changeset
213 (would have been ~4030331.9962 with floats and natural log instead)
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diff changeset
214 That number is smaller than 2^28, the default bit-size of mp_digit.
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diff changeset
215 */
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diff changeset
216
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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diff changeset
217 /*
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diff changeset
218 How many tests, you might ask? Dana Jacobsen of Math::Prime::Util fame
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diff changeset
219 does exactly 1. In words: one. Look at the end of _GMP_is_prime() in
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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diff changeset
220 Math-Prime-Util-GMP-0.50/primality.c if you do not believe it.
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diff changeset
221
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diff changeset
222 The function mp_rand() goes to some length to use a cryptographically
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Steffen Jaeckel <s_jaeckel@gmx.de>
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diff changeset
223 good PRNG. That also means that the chance to always get the same base
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Steffen Jaeckel <s_jaeckel@gmx.de>
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diff changeset
224 in the loop is non-zero, although very low.
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Steffen Jaeckel <s_jaeckel@gmx.de>
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diff changeset
225 If the BPSW test and/or the addtional Frobenious test have been
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Steffen Jaeckel <s_jaeckel@gmx.de>
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diff changeset
226 performed instead of just the Miller-Rabin test with the bases 2 and 3,
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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227 a single extra test should suffice, so such a very unlikely event
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diff changeset
228 will not do much harm.
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229
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diff changeset
230 To preemptivly answer the dangling question: no, a witness does not
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diff changeset
231 need to be prime.
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232 */
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diff changeset
233 for (ix = 0; ix < t; ix++) {
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234 /* mp_rand() guarantees the first digit to be non-zero */
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235 if ((err = mp_rand(&b, 1)) != MP_OKAY) {
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Steffen Jaeckel <s_jaeckel@gmx.de>
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236 goto LBL_B;
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Steffen Jaeckel <s_jaeckel@gmx.de>
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237 }
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Steffen Jaeckel <s_jaeckel@gmx.de>
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diff changeset
238 /*
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239 * Reduce digit before casting because mp_digit might be bigger than
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240 * an unsigned int and "mask" on the other side is most probably not.
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241 */
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diff changeset
242 fips_rand = (unsigned int)(b.dp[0] & (mp_digit) mask);
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243 #ifdef MP_8BIT
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244 /*
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245 * One 8-bit digit is too small, so concatenate two if the size of
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246 * unsigned int allows for it.
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247 */
1692
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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diff changeset
248 if ((MP_SIZEOF_BITS(unsigned int)/2) >= MP_SIZEOF_BITS(mp_digit)) {
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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diff changeset
249 if ((err = mp_rand(&b, 1)) != MP_OKAY) {
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250 goto LBL_B;
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251 }
1692
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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diff changeset
252 fips_rand <<= MP_SIZEOF_BITS(mp_digit);
1655
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253 fips_rand |= (unsigned int) b.dp[0];
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254 fips_rand &= mask;
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255 }
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diff changeset
256 #endif
1692
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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diff changeset
257 if (fips_rand > (unsigned int)(INT_MAX - MP_DIGIT_BIT)) {
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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diff changeset
258 len = INT_MAX / MP_DIGIT_BIT;
1655
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259 } else {
1692
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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260 len = (((int)fips_rand + MP_DIGIT_BIT) / MP_DIGIT_BIT);
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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261 }
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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diff changeset
262 /* Unlikely. */
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diff changeset
263 if (len < 0) {
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Steffen Jaeckel <s_jaeckel@gmx.de>
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diff changeset
264 ix--;
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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diff changeset
265 continue;
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Steffen Jaeckel <s_jaeckel@gmx.de>
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266 }
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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diff changeset
267 /*
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diff changeset
268 * As mentioned above, one 8-bit digit is too small and
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diff changeset
269 * although it can only happen in the unlikely case that
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diff changeset
270 * an "unsigned int" is smaller than 16 bit a simple test
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Steffen Jaeckel <s_jaeckel@gmx.de>
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diff changeset
271 * is cheap and the correction even cheaper.
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diff changeset
272 */
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Steffen Jaeckel <s_jaeckel@gmx.de>
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diff changeset
273 #ifdef MP_8BIT
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Steffen Jaeckel <s_jaeckel@gmx.de>
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diff changeset
274 /* All "a" < 2^8 have been caught before */
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Steffen Jaeckel <s_jaeckel@gmx.de>
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diff changeset
275 if (len == 1) {
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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diff changeset
276 len++;
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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diff changeset
277 }
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Steffen Jaeckel <s_jaeckel@gmx.de>
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diff changeset
278 #endif
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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diff changeset
279 if ((err = mp_rand(&b, len)) != MP_OKAY) {
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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diff changeset
280 goto LBL_B;
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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diff changeset
281 }
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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diff changeset
282 /*
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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diff changeset
283 * That number might got too big and the witness has to be
1656
a36e545fb43d Prime-related bugfixes (#81)
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diff changeset
284 * smaller than "a"
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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diff changeset
285 */
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diff changeset
286 len = mp_count_bits(&b);
1656
a36e545fb43d Prime-related bugfixes (#81)
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diff changeset
287 if (len >= size_a) {
a36e545fb43d Prime-related bugfixes (#81)
Steffen Jaeckel <s@jaeckel.eu>
parents: 1655
diff changeset
288 len = (len - size_a) + 1;
1655
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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diff changeset
289 if ((err = mp_div_2d(&b, len, &b, NULL)) != MP_OKAY) {
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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diff changeset
290 goto LBL_B;
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
291 }
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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diff changeset
292 }
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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diff changeset
293 /* Although the chance for b <= 3 is miniscule, try again. */
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diff changeset
294 if (mp_cmp_d(&b, 3uL) != MP_GT) {
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diff changeset
295 ix--;
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diff changeset
296 continue;
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diff changeset
297 }
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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diff changeset
298 if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) {
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
299 goto LBL_B;
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
300 }
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
301 if (res == MP_NO) {
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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diff changeset
302 goto LBL_B;
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parents: 1470
diff changeset
303 }
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents: 1470
diff changeset
304 }
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
305 }
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
306
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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diff changeset
307 /* passed the test */
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diff changeset
308 *result = MP_YES;
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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diff changeset
309 LBL_B:
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Steffen Jaeckel <s_jaeckel@gmx.de>
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diff changeset
310 mp_clear(&b);
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Steffen Jaeckel <s_jaeckel@gmx.de>
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diff changeset
311 return err;
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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diff changeset
312 }
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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diff changeset
313
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
314 #endif