annotate libtommath/bn_mp_prime_fermat.c @ 1930:299f4f19ba19

Add /usr/sbin and /sbin to default root PATH When dropbear is used in a very restricted environment (such as in a initrd), the default user shell is often also very restricted and doesn't take care of setting the PATH so the user ends up with the PATH set by dropbear. Unfortunately, dropbear always sets "/usr/bin:/bin" as default PATH even for the root user which should have /usr/sbin and /sbin too. For a concrete instance of this problem, see the "Remote Unlocking" section in this tutorial: https://paxswill.com/blog/2013/11/04/encrypted-raspberry-pi/ It speaks of a bug in the initramfs script because it's written "blkid" instead of "/sbin/blkid"... this is just because the scripts from the initramfs do not expect to have a PATH without the sbin directories and because dropbear is not setting the PATH appropriately for the root user. I'm thus suggesting to use the attached patch to fix this misbehaviour (I did not test it, but it's easy enough). It might seem anecdotic but multiple Kali users have been bitten by this. From https://bugs.debian.org/cgi-bin/bugreport.cgi?bug=903403
author Raphael Hertzog <hertzog@debian.org>
date Mon, 09 Jul 2018 16:27:53 +0200
parents 1051e4eea25a
children
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1 #include "tommath_private.h"
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2 #ifdef BN_MP_PRIME_FERMAT_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 /* performs one Fermat test.
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7 *
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8 * If "a" were prime then b**a == b (mod a) since the order of
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9 * the multiplicative sub-group would be phi(a) = a-1. That means
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10 * it would be the same as b**(a mod (a-1)) == b**1 == b (mod a).
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11 *
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12 * Sets result to 1 if the congruence holds, or zero otherwise.
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13 */
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14 mp_err mp_prime_fermat(const mp_int *a, const mp_int *b, mp_bool *result)
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15 {
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16 mp_int t;
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17 mp_err err;
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18
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19 /* default to composite */
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20 *result = MP_NO;
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22 /* ensure b > 1 */
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23 if (mp_cmp_d(b, 1uL) != MP_GT) {
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24 return MP_VAL;
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25 }
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27 /* init t */
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28 if ((err = mp_init(&t)) != MP_OKAY) {
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29 return err;
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30 }
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31
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32 /* compute t = b**a mod a */
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33 if ((err = mp_exptmod(b, a, a, &t)) != MP_OKAY) {
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34 goto LBL_T;
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35 }
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37 /* is it equal to b? */
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38 if (mp_cmp(&t, b) == MP_EQ) {
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39 *result = MP_YES;
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40 }
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41
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42 err = MP_OKAY;
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43 LBL_T:
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44 mp_clear(&t);
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45 return err;
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46 }
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47 #endif