Integrate my implementation of a countermeasure against
Bleichenbacher's DSA attack. With this implementation, the expected number of iterations never exceeds 2. New semantics for BN_rand_range(): BN_rand_range(r, min, range) now generates r such that min <= r < min+range. (Previously, BN_rand_range(r, min, max) generated r such that min <= r < max. It is more convenient to have the range; also the previous prototype was misleading because max was larger than the actual maximum.)
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07fc72fea1
5 changed files with 66 additions and 11 deletions
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@ -328,7 +328,7 @@ BIGNUM *BN_CTX_get(BN_CTX *ctx);
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void BN_CTX_end(BN_CTX *ctx);
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int BN_rand(BIGNUM *rnd, int bits, int top,int bottom);
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int BN_pseudo_rand(BIGNUM *rnd, int bits, int top,int bottom);
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int BN_rand_range(BIGNUM *rnd, BIGNUM *min, BIGNUM *max);
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int BN_rand_range(BIGNUM *rnd, BIGNUM *min, BIGNUM *range);
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int BN_num_bits(const BIGNUM *a);
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int BN_num_bits_word(BN_ULONG);
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BIGNUM *BN_new(void);
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@ -494,6 +494,7 @@ BN_ULONG bn_sub_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num);
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#define BN_F_BN_MPI2BN 112
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#define BN_F_BN_NEW 113
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#define BN_F_BN_RAND 114
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#define BN_F_BN_RAND_RANGE 122
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#define BN_F_BN_USUB 115
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/* Reason codes. */
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@ -505,6 +506,7 @@ BN_ULONG bn_sub_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num);
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#define BN_R_ENCODING_ERROR 104
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#define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA 105
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#define BN_R_INVALID_LENGTH 106
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#define BN_R_INVALID_RANGE 115
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#define BN_R_NOT_INITIALIZED 107
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#define BN_R_NO_INVERSE 108
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#define BN_R_TOO_MANY_TEMPORARY_VARIABLES 109
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@ -84,6 +84,7 @@ static ERR_STRING_DATA BN_str_functs[]=
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{ERR_PACK(0,BN_F_BN_MPI2BN,0), "BN_mpi2bn"},
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{ERR_PACK(0,BN_F_BN_NEW,0), "BN_new"},
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{ERR_PACK(0,BN_F_BN_RAND,0), "BN_rand"},
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{ERR_PACK(0,BN_F_BN_RAND_RANGE,0), "BN_rand_range"},
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{ERR_PACK(0,BN_F_BN_USUB,0), "BN_usub"},
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{0,NULL}
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};
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@ -98,6 +99,7 @@ static ERR_STRING_DATA BN_str_reasons[]=
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{BN_R_ENCODING_ERROR ,"encoding error"},
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{BN_R_EXPAND_ON_STATIC_BIGNUM_DATA ,"expand on static bignum data"},
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{BN_R_INVALID_LENGTH ,"invalid length"},
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{BN_R_INVALID_RANGE ,"invalid range"},
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{BN_R_NOT_INITIALIZED ,"not initialized"},
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{BN_R_NO_INVERSE ,"no inverse"},
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{BN_R_TOO_MANY_TEMPORARY_VARIABLES ,"too many temporary variables"},
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@ -141,14 +141,63 @@ int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom)
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return bnrand(1, rnd, bits, top, bottom);
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}
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/* random number r: min <= r < max */
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int BN_rand_range(BIGNUM *r, BIGNUM *min, BIGNUM *max)
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/* random number r: min <= r < min+range */
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int BN_rand_range(BIGNUM *r, BIGNUM *min, BIGNUM *range)
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{
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int n = BN_num_bits(max);
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do
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int n;
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if (range->neg || BN_is_zero(range))
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{
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if (!BN_rand(r, n, 0, 0)) return 0;
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} while ((min && BN_cmp(r, min) < 0) || BN_cmp(r, max) >= 0);
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BNerr(BN_F_BN_RAND_RANGE, BN_R_INVALID_RANGE);
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return 0;
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}
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n = BN_num_bits(range); /* n > 0 */
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if (n == 1)
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{
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if (!BN_zero(r)) return 0;
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}
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else if (BN_is_bit_set(range, n - 2))
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{
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do
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{
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/* range = 11..._2, so each iteration succeeds with probability > .5 */
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if (!BN_rand(r, n, 0, 0)) return 0;
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fprintf(stderr, "?");
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}
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while (BN_cmp(r, range) >= 0);
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fprintf(stderr, "! (11...)\n");
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}
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else
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{
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/* range = 10..._2,
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* so 3*range (= 11..._2) is exactly one bit longer than range */
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do
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{
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if (!BN_rand(r, n + 1, 0, 0)) return 0;
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/* If r < 3*range, use r := r MOD range
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* (which is either r, r - range, or r - 2*range).
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* Otherwise, iterate once more.
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* Since 3*range = 11..._2, each iteration succeeds with
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* probability > .5. */
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if (BN_cmp(r ,range) >= 0)
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{
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if (!BN_sub(r, r, range)) return 0;
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if (BN_cmp(r, range) >= 0)
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if (!BN_sub(r, r, range)) return 0;
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}
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fprintf(stderr, "?");
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}
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while (BN_cmp(r, range) >= 0);
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fprintf(stderr, "! (10...)\n");
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}
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if (min != NULL)
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{
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if (!BN_add(r, r, min)) return 0;
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}
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return 1;
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}
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@ -179,7 +179,9 @@ static int dsa_sign_setup(DSA *dsa, BN_CTX *ctx_in, BIGNUM **kinvp, BIGNUM **rp)
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kinv=NULL;
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/* Get random k */
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if (!BN_rand_range(&k, BN_value_one(), dsa->q)) goto err;
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do
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if (!BN_rand_range(&k, NULL, dsa->q)) goto err;
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while (BN_is_zero(&k));
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if ((dsa->method_mont_p == NULL) && (dsa->flags & DSA_FLAG_CACHE_MONT_P))
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{
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@ -12,7 +12,7 @@ BN_rand, BN_pseudo_rand - generate pseudo-random number
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int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom);
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int BN_rand_range(BIGNUM *rnd, BIGNUM *min, BIGNUM *max);
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int BN_rand_range(BIGNUM *rnd, BIGNUM *min, BIGNUM *range);
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=head1 DESCRIPTION
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@ -28,8 +28,8 @@ non-cryptographic purposes and for certain purposes in cryptographic
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protocols, but usually not for key generation etc.
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BN_rand_range() generates a cryptographically strong pseudo-random
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number B<rnd> in the range B<min> E<lt>= B<rnd> E<lt> B<max>. B<min>
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may be NULL, in that case 0 E<lt>= B<rnd> E<lt> B<max>.
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number B<rnd> in the range B<min> E<lt>= B<rnd> E<lt> B<min> + B<range>.
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B<min> may be NULL, in that case 0 E<lt>= B<rnd> E<lt> B<range>.
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The PRNG must be seeded prior to calling BN_rand() or BN_rand_range().
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