Mercurial > dropbear
annotate libtommath/bn_mp_prime_next_prime.c @ 1790:42745af83b7d
Introduce extra delay before closing unauthenticated sessions
To make it harder for attackers, introduce a delay to keep an
unauthenticated session open a bit longer, thus blocking a connection
slot until after the delay.
Without this, while there is a limit on the amount of attempts an attacker
can make at the same time (MAX_UNAUTH_PER_IP), the time taken by dropbear to
handle one attempt is still short and thus for each of the allowed parallel
attempts many attempts can be chained one after the other. The attempt rate
is then:
"MAX_UNAUTH_PER_IP / <process time of one attempt>".
With the delay, this rate becomes:
"MAX_UNAUTH_PER_IP / UNAUTH_CLOSE_DELAY".
author | Thomas De Schampheleire <thomas.de_schampheleire@nokia.com> |
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date | Wed, 15 Feb 2017 13:53:04 +0100 |
parents | 1051e4eea25a |
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rev | line source |
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1 #include "tommath_private.h" |
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2 #ifdef BN_MP_PRIME_NEXT_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 /* finds the next prime after the number "a" using "t" trials |
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7 * of Miller-Rabin. |
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8 * |
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9 * bbs_style = 1 means the prime must be congruent to 3 mod 4 |
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10 */ |
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11 mp_err mp_prime_next_prime(mp_int *a, int t, int bbs_style) |
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12 { |
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13 int x, y; |
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14 mp_ord cmp; |
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15 mp_err err; |
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16 mp_bool res = MP_NO; |
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17 mp_digit res_tab[PRIVATE_MP_PRIME_TAB_SIZE], step, kstep; |
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18 mp_int b; |
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19 |
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20 /* force positive */ |
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21 a->sign = MP_ZPOS; |
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22 |
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23 /* simple algo if a is less than the largest prime in the table */ |
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24 if (mp_cmp_d(a, s_mp_prime_tab[PRIVATE_MP_PRIME_TAB_SIZE-1]) == MP_LT) { |
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25 /* find which prime it is bigger than "a" */ |
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26 for (x = 0; x < PRIVATE_MP_PRIME_TAB_SIZE; x++) { |
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27 cmp = mp_cmp_d(a, s_mp_prime_tab[x]); |
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28 if (cmp == MP_EQ) { |
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29 continue; |
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30 } |
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31 if (cmp != MP_GT) { |
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32 if ((bbs_style == 1) && ((s_mp_prime_tab[x] & 3u) != 3u)) { |
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33 /* try again until we get a prime congruent to 3 mod 4 */ |
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34 continue; |
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35 } else { |
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36 mp_set(a, s_mp_prime_tab[x]); |
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37 return MP_OKAY; |
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38 } |
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39 } |
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40 } |
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41 /* fall through to the sieve */ |
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42 } |
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43 |
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44 /* generate a prime congruent to 3 mod 4 or 1/3 mod 4? */ |
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45 if (bbs_style == 1) { |
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46 kstep = 4; |
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47 } else { |
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48 kstep = 2; |
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49 } |
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50 |
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51 /* at this point we will use a combination of a sieve and Miller-Rabin */ |
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52 |
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53 if (bbs_style == 1) { |
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54 /* if a mod 4 != 3 subtract the correct value to make it so */ |
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55 if ((a->dp[0] & 3u) != 3u) { |
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56 if ((err = mp_sub_d(a, (a->dp[0] & 3u) + 1u, a)) != MP_OKAY) { |
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57 return err; |
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58 } |
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59 } |
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60 } else { |
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61 if (MP_IS_EVEN(a)) { |
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62 /* force odd */ |
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63 if ((err = mp_sub_d(a, 1uL, a)) != MP_OKAY) { |
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64 return err; |
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65 } |
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66 } |
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67 } |
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68 |
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69 /* generate the restable */ |
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70 for (x = 1; x < PRIVATE_MP_PRIME_TAB_SIZE; x++) { |
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71 if ((err = mp_mod_d(a, s_mp_prime_tab[x], res_tab + x)) != MP_OKAY) { |
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72 return err; |
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73 } |
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74 } |
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75 |
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76 /* init temp used for Miller-Rabin Testing */ |
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77 if ((err = mp_init(&b)) != MP_OKAY) { |
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78 return err; |
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79 } |
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80 |
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81 for (;;) { |
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82 /* skip to the next non-trivially divisible candidate */ |
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83 step = 0; |
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84 do { |
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85 /* y == 1 if any residue was zero [e.g. cannot be prime] */ |
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86 y = 0; |
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87 |
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88 /* increase step to next candidate */ |
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89 step += kstep; |
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90 |
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91 /* compute the new residue without using division */ |
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92 for (x = 1; x < PRIVATE_MP_PRIME_TAB_SIZE; x++) { |
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93 /* add the step to each residue */ |
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94 res_tab[x] += kstep; |
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95 |
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96 /* subtract the modulus [instead of using division] */ |
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97 if (res_tab[x] >= s_mp_prime_tab[x]) { |
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98 res_tab[x] -= s_mp_prime_tab[x]; |
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99 } |
284
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100 |
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101 /* set flag if zero */ |
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102 if (res_tab[x] == 0u) { |
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103 y = 1; |
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104 } |
284
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105 } |
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106 } while ((y == 1) && (step < (((mp_digit)1 << MP_DIGIT_BIT) - kstep))); |
284
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107 |
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108 /* add the step */ |
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109 if ((err = mp_add_d(a, step, a)) != MP_OKAY) { |
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110 goto LBL_ERR; |
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111 } |
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112 |
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113 /* if didn't pass sieve and step == MP_MAX then skip test */ |
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114 if ((y == 1) && (step >= (((mp_digit)1 << MP_DIGIT_BIT) - kstep))) { |
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115 continue; |
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116 } |
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117 |
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118 if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { |
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119 goto LBL_ERR; |
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120 } |
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121 if (res == MP_YES) { |
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122 break; |
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123 } |
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124 } |
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125 |
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126 err = MP_OKAY; |
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127 LBL_ERR: |
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128 mp_clear(&b); |
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129 return err; |
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130 } |
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131 |
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132 #endif |