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Import OpenSSL 1.1.0i

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Steve Dower
2018-08-14 08:22:53 -07:00
parent 807cee26df
commit 6960e8d7c7
282 changed files with 5215 additions and 2261 deletions
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89
include/openssl/bn.h
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@@ -1,5 +1,5 @@
/*
* Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
@@ -119,25 +119,76 @@ void *BN_GENCB_get_arg(BN_GENCB *cb);
* on the size of the number */
/*
* number of Miller-Rabin iterations for an error rate of less than 2^-80 for
* random 'b'-bit input, b >= 100 (taken from table 4.4 in the Handbook of
* Applied Cryptography [Menezes, van Oorschot, Vanstone; CRC Press 1996];
* original paper: Damgaard, Landrock, Pomerance: Average case error
* estimates for the strong probable prime test. -- Math. Comp. 61 (1993)
* 177-194)
* BN_prime_checks_for_size() returns the number of Miller-Rabin iterations
* that will be done for checking that a random number is probably prime. The
* error rate for accepting a composite number as prime depends on the size of
* the prime |b|. The error rates used are for calculating an RSA key with 2 primes,
* and so the level is what you would expect for a key of double the size of the
* prime.
*
* This table is generated using the algorithm of FIPS PUB 186-4
* Digital Signature Standard (DSS), section F.1, page 117.
* (https://dx.doi.org/10.6028/NIST.FIPS.186-4)
*
* The following magma script was used to generate the output:
* securitybits:=125;
* k:=1024;
* for t:=1 to 65 do
* for M:=3 to Floor(2*Sqrt(k-1)-1) do
* S:=0;
* // Sum over m
* for m:=3 to M do
* s:=0;
* // Sum over j
* for j:=2 to m do
* s+:=(RealField(32)!2)^-(j+(k-1)/j);
* end for;
* S+:=2^(m-(m-1)*t)*s;
* end for;
* A:=2^(k-2-M*t);
* B:=8*(Pi(RealField(32))^2-6)/3*2^(k-2)*S;
* pkt:=2.00743*Log(2)*k*2^-k*(A+B);
* seclevel:=Floor(-Log(2,pkt));
* if seclevel ge securitybits then
* printf "k: %5o, security: %o bits (t: %o, M: %o)\n",k,seclevel,t,M;
* break;
* end if;
* end for;
* if seclevel ge securitybits then break; end if;
* end for;
*
* It can be run online at:
* http://magma.maths.usyd.edu.au/calc
*
* And will output:
* k: 1024, security: 129 bits (t: 6, M: 23)
*
* k is the number of bits of the prime, securitybits is the level we want to
* reach.
*
* prime length | RSA key size | # MR tests | security level
* -------------+--------------|------------+---------------
* (b) >= 6394 | >= 12788 | 3 | 256 bit
* (b) >= 3747 | >= 7494 | 3 | 192 bit
* (b) >= 1345 | >= 2690 | 4 | 128 bit
* (b) >= 1080 | >= 2160 | 5 | 128 bit
* (b) >= 852 | >= 1704 | 5 | 112 bit
* (b) >= 476 | >= 952 | 5 | 80 bit
* (b) >= 400 | >= 800 | 6 | 80 bit
* (b) >= 347 | >= 694 | 7 | 80 bit
* (b) >= 308 | >= 616 | 8 | 80 bit
* (b) >= 55 | >= 110 | 27 | 64 bit
* (b) >= 6 | >= 12 | 34 | 64 bit
*/
# define BN_prime_checks_for_size(b) ((b) >= 1300 ? 2 : \
(b) >= 850 ? 3 : \
(b) >= 650 ? 4 : \
(b) >= 550 ? 5 : \
(b) >= 450 ? 6 : \
(b) >= 400 ? 7 : \
(b) >= 350 ? 8 : \
(b) >= 300 ? 9 : \
(b) >= 250 ? 12 : \
(b) >= 200 ? 15 : \
(b) >= 150 ? 18 : \
/* b >= 100 */ 27)
# define BN_prime_checks_for_size(b) ((b) >= 3747 ? 3 : \
(b) >= 1345 ? 4 : \
(b) >= 476 ? 5 : \
(b) >= 400 ? 6 : \
(b) >= 347 ? 7 : \
(b) >= 308 ? 8 : \
(b) >= 55 ? 27 : \
/* b >= 6 */ 34)
# define BN_num_bytes(a) ((BN_num_bits(a)+7)/8)