nettle-bugs

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3 participants
2194 discussions

Nettle ECC code question
by Dmitry Eremin-Solenikov 31 Oct '19

31 Oct '19

Hello, I've noticed the following typical code sequence: ecc_modp_mul(ecc, t, x, y); cy = mpn_sub_n(dest, t, ecc->p.m, ecc->p.size); cnd_copy(cy, dest, t, ecc->p.size); What is the benefit of this piece of code over the following one? ecc_modp_mul(ecc, t, x, y); memcpy(dest, t, ecc->p.size * sizeof(mp_limb_t)); Does mpn_sun_n/cnd_copy add any form of side channel attach protection? -- With best wishes Dmitry

3 5

PowerMac G5 results
by Jeffrey Walton 29 Oct '19

29 Oct '19

Hi Everyone, I'm building Nettle 3.5.1 on an old PowerMac G5. gcc -I. -I/usr/local/include -DNDEBUG -DHAVE_CONFIG_H -g2 -O2 -fPIC -pthread -ggdb3 -Wno-pointer-sign -Wall -W -Wmissing-prototypes -Wmissing-declarations -Wstrict-prototypes -Wpointer-arith -Wbad-function-cast -Wnested-externs -fPIC -MT xts-aes128.o -MD -MP -MF xts-aes128.o.d -c xts-aes128.c \ && true xts.c: In function 'xts_shift': xts.c:59: warning: integer constant is too large for 'long' type xts.c:59: warning: integer constant is too large for 'long' type xts.c:60: warning: integer constant is too large for 'long' type xts.c:60: warning: integer constant is too large for 'long' type xts.c:60: warning: integer constant is too large for 'long' type One self test failure, unrelated to XTS mode: PASS: symbols dlopen failed: dlopen(../libnettle.so, 2): image not found ../run-tests: line 57: 86075 Abort trap "$1" $testflags FAIL: dlopen

2 2

charset parameter for https://www.lysator.liu.se/~nisse/nettle/nettle.html causing mojibake
by Daniel Kahn Gillmor 24 Oct '19

24 Oct '19

Hi Niels-- i notice that https://www.lysator.liu.se/~nisse/nettle/nettle.html is served with the HTTP header: Content-Type: text/html; charset=iso-8859-1 but it contains non-ASCII text -- your name "Niels Möller", but it is rendered as Niels MÃ¶ller due to the charset parameter. You can update your nginx config by using the charset directive: charset UTF-8; see https://nginx.org/en/docs/http/ngx_http_charset_module.html#charset for more detail. Regards, --dkg

5 5

[PATCH 1/2] Implement GOST R 34.11-2012 (Streebog) hash function
by dbaryshkov＠gmail.com 23 Oct '19

23 Oct '19

From: Dmitry Eremin-Solenikov <dbaryshkov(a)gmail.com> Signed-off-by: Dmitry Eremin-Solenikov <dbaryshkov(a)gmail.com> --- Makefile.in | 5 +- examples/nettle-benchmark.c | 3 +- hmac-streebog.c | 73 ++ hmac.h | 33 + nettle-meta-hashes.c | 2 + nettle-meta.h | 2 + nettle.texinfo | 72 ++ streebog-meta.c | 44 ++ streebog.c | 1334 +++++++++++++++++++++++++++++++++++ streebog.h | 99 +++ testsuite/.gitignore | 1 + testsuite/.test-rules.make | 3 + testsuite/Makefile.in | 1 + testsuite/hmac-test.c | 17 + testsuite/meta-hash-test.c | 2 + testsuite/pbkdf2-test.c | 30 +- testsuite/streebog-test.c | 81 +++ 17 files changed, 1798 insertions(+), 4 deletions(-) create mode 100644 hmac-streebog.c create mode 100644 streebog-meta.c create mode 100644 streebog.c create mode 100644 streebog.h create mode 100644 testsuite/streebog-test.c diff --git a/Makefile.in b/Makefile.in index 9f5b065a706a..c578e2901aa7 100644 --- a/Makefile.in +++ b/Makefile.in @@ -106,7 +106,7 @@ nettle_SOURCES = aes-decrypt-internal.c aes-decrypt.c \ gost28147.c gosthash94.c gosthash94-meta.c \ hmac.c hmac-gosthash94.c hmac-md5.c hmac-ripemd160.c \ hmac-sha1.c hmac-sha224.c hmac-sha256.c hmac-sha384.c \ - hmac-sha512.c \ + hmac-sha512.c hmac-streebog.c \ knuth-lfib.c hkdf.c \ md2.c md2-meta.c md4.c md4-meta.c \ md5.c md5-compress.c md5-compat.c md5-meta.c \ @@ -132,6 +132,7 @@ nettle_SOURCES = aes-decrypt-internal.c aes-decrypt.c \ sha3-384.c sha3-384-meta.c sha3-512.c sha3-512-meta.c\ serpent-set-key.c serpent-encrypt.c serpent-decrypt.c \ serpent-meta.c \ + streebog.c streebog-meta.c \ twofish.c twofish-meta.c \ umac-nh.c umac-nh-n.c umac-l2.c umac-l3.c \ umac-poly64.c umac-poly128.c umac-set-key.c \ @@ -209,7 +210,7 @@ HEADERS = aes.h arcfour.h arctwo.h asn1.h blowfish.h \ pbkdf2.h \ pgp.h pkcs1.h pss.h pss-mgf1.h realloc.h ripemd160.h rsa.h \ salsa20.h sexp.h \ - serpent.h sha.h sha1.h sha2.h sha3.h twofish.h \ + serpent.h sha.h sha1.h sha2.h sha3.h streebog.h twofish.h \ umac.h yarrow.h xts.h poly1305.h INSTALL_HEADERS = $(HEADERS) version.h @IF_MINI_GMP@ mini-gmp.h diff --git a/examples/nettle-benchmark.c b/examples/nettle-benchmark.c index 5d0e649ea726..ea52cb44becf 100644 --- a/examples/nettle-benchmark.c +++ b/examples/nettle-benchmark.c @@ -918,7 +918,8 @@ main(int argc, char **argv) &nettle_sha3_224, &nettle_sha3_256, &nettle_sha3_384, &nettle_sha3_512, &nettle_ripemd160, &nettle_gosthash94, - &nettle_gosthash94cp, + &nettle_gosthash94cp, &nettle_streebog256, + &nettle_streebog512, NULL }; diff --git a/hmac-streebog.c b/hmac-streebog.c new file mode 100644 index 000000000000..8298364bfca9 --- /dev/null +++ b/hmac-streebog.c @@ -0,0 +1,73 @@ +/* hmac-streebog.c + + HMAC-Streebog message authentication code. + + Copyright (C) 2016 Dmitry Eremin-Solenikov + + This file is part of GNU Nettle. + + GNU Nettle is free software: you can redistribute it and/or + modify it under the terms of either: + + * the GNU Lesser General Public License as published by the Free + Software Foundation; either version 3 of the License, or (at your + option) any later version. + + or + + * the GNU General Public License as published by the Free + Software Foundation; either version 2 of the License, or (at your + option) any later version. + + or both in parallel, as here. + + GNU Nettle is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + General Public License for more details. + + You should have received copies of the GNU General Public License and + the GNU Lesser General Public License along with this program. If + not, see http://www.gnu.org/licenses/. +*/ + +#if HAVE_CONFIG_H +# include "config.h" +#endif + +#include "hmac.h" + +void +hmac_streebog512_set_key(struct hmac_streebog512_ctx *ctx, + size_t key_length, const uint8_t *key) +{ + HMAC_SET_KEY(ctx, &nettle_streebog512, key_length, key); +} + +void +hmac_streebog512_update(struct hmac_streebog512_ctx *ctx, + size_t length, const uint8_t *data) +{ + streebog512_update(&ctx->state, length, data); +} + +void +hmac_streebog512_digest(struct hmac_streebog512_ctx *ctx, + size_t length, uint8_t *digest) +{ + HMAC_DIGEST(ctx, &nettle_streebog512, length, digest); +} + +void +hmac_streebog256_set_key(struct hmac_streebog256_ctx *ctx, + size_t key_length, const uint8_t *key) +{ + HMAC_SET_KEY(ctx, &nettle_streebog256, key_length, key); +} + +void +hmac_streebog256_digest(struct hmac_streebog256_ctx *ctx, + size_t length, uint8_t *digest) +{ + HMAC_DIGEST(ctx, &nettle_streebog256, length, digest); +} diff --git a/hmac.h b/hmac.h index d9ee3400108d..72c8fd5768c4 100644 --- a/hmac.h +++ b/hmac.h @@ -41,6 +41,7 @@ #include "ripemd160.h" #include "sha1.h" #include "sha2.h" +#include "streebog.h" #ifdef __cplusplus extern "C" { @@ -75,6 +76,11 @@ extern "C" { #define hmac_gosthash94cp_set_key nettle_hmac_gosthash94cp_set_key #define hmac_gosthash94cp_update nettle_hmac_gosthash94cp_update #define hmac_gosthash94cp_digest nettle_hmac_gosthash94cp_digest +#define hmac_streebog256_set_key nettle_hmac_streebog256_set_key +#define hmac_streebog256_digest nettle_hmac_streebog256_digest +#define hmac_streebog512_set_key nettle_hmac_streebog512_set_key +#define hmac_streebog512_update nettle_hmac_streebog512_update +#define hmac_streebog512_digest nettle_hmac_streebog512_digest void hmac_set_key(void *outer, void *inner, void *state, @@ -240,6 +246,33 @@ hmac_gosthash94cp_digest(struct hmac_gosthash94cp_ctx *ctx, size_t length, uint8_t *digest); +/* hmac-streebog */ +struct hmac_streebog512_ctx HMAC_CTX(struct streebog512_ctx); + +void +hmac_streebog512_set_key(struct hmac_streebog512_ctx *ctx, + size_t key_length, const uint8_t *key); + +void +hmac_streebog512_update(struct hmac_streebog512_ctx *ctx, + size_t length, const uint8_t *data); + +void +hmac_streebog512_digest(struct hmac_streebog512_ctx *ctx, + size_t length, uint8_t *digest); + +#define hmac_streebog256_ctx hmac_streebog512_ctx + +void +hmac_streebog256_set_key(struct hmac_streebog256_ctx *ctx, + size_t key_length, const uint8_t *key); + +#define hmac_streebog256_update hmac_streebog512_update + +void +hmac_streebog256_digest(struct hmac_streebog256_ctx *ctx, + size_t length, uint8_t *digest); + #ifdef __cplusplus } #endif diff --git a/nettle-meta-hashes.c b/nettle-meta-hashes.c index 27b576cdc58c..8e96dd414d23 100644 --- a/nettle-meta-hashes.c +++ b/nettle-meta-hashes.c @@ -53,6 +53,8 @@ const struct nettle_hash * const _nettle_hashes[] = { &nettle_sha3_256, &nettle_sha3_384, &nettle_sha3_512, + &nettle_streebog256, + &nettle_streebog512, NULL }; diff --git a/nettle-meta.h b/nettle-meta.h index b4cdb8f3e378..fff59eb23400 100644 --- a/nettle-meta.h +++ b/nettle-meta.h @@ -143,6 +143,8 @@ extern const struct nettle_hash nettle_sha3_224; extern const struct nettle_hash nettle_sha3_256; extern const struct nettle_hash nettle_sha3_384; extern const struct nettle_hash nettle_sha3_512; +extern const struct nettle_hash nettle_streebog256; +extern const struct nettle_hash nettle_streebog512; struct nettle_aead { diff --git a/nettle.texinfo b/nettle.texinfo index 9a3ca04e0a7f..fc2a846662d2 100644 --- a/nettle.texinfo +++ b/nettle.texinfo @@ -834,6 +834,78 @@ octets of the digest are written. This function also resets the context. @end deftypefun +@subsubsection @acronym{STREEBOG512} + +STREEBOG512 is a member of the Streebog (GOST R 34.11-2012) family. It outputs +hash values of 512 bits, or 64 octets. Nettle defines STREEBOG512 in +@file{<nettle/streebog.h>}. + +@deftp {Context struct} {struct streebog512_ctx} +@end deftp + +@defvr Constant STREEBOG512_DIGEST_SIZE +The size of a STREEBOG512 digest, i.e. 64. +@end defvr + +@defvr Constant STREEBOG512_BLOCK_SIZE +The internal block size of STREEBOG512. Useful for some special constructions, +in particular HMAC-STREEBOG512. +@end defvr + +@deftypefun void streebog512_init (struct streebog512_ctx *@var{ctx}) +Initialize the STREEBOG512 state. +@end deftypefun + +@deftypefun void streebog512_update (struct streebog512_ctx *@var{ctx}, size_t @var{length}, const uint8_t *@var{data}) +Hash some more data. +@end deftypefun + +@deftypefun void streebog512_digest (struct streebog512_ctx *@var{ctx}, size_t @var{length}, uint8_t *@var{digest}) +Performs final processing and extracts the message digest, writing it +to @var{digest}. @var{length} may be smaller than +@code{STREEBOG512_DIGEST_SIZE}, in which case only the first @var{length} +octets of the digest are written. + +This function also resets the context in the same way as +@code{streebog512_init}. +@end deftypefun + +@subsubsection @acronym{STREEBOG256} + +STREEBOG256 is a variant of STREEBOG512, with a different initial state, and with +the output truncated to 256 bits, or 32 octets. Nettle defines STREEBOG256 in +@file{<nettle/streebog.h>}. + +@deftp {Context struct} {struct streebog256_ctx} +@end deftp + +@defvr Constant STREEBOG256_DIGEST_SIZE +The size of a STREEBOG256 digest, i.e. 32. +@end defvr + +@defvr Constant STREEBOG256_BLOCK_SIZE +The internal block size of STREEBOG256. Useful for some special constructions, +in particular HMAC-STREEBOG256. +@end defvr + +@deftypefun void streebog256_init (struct streebog256_ctx *@var{ctx}) +Initialize the STREEBOG256 state. +@end deftypefun + +@deftypefun void streebog256_update (struct streebog256_ctx *@var{ctx}, size_t @var{length}, const uint8_t *@var{data}) +Hash some more data. +@end deftypefun + +@deftypefun void streebog256_digest (struct streebog256_ctx *@var{ctx}, size_t @var{length}, uint8_t *@var{digest}) +Performs final processing and extracts the message digest, writing it +to @var{digest}. @var{length} may be smaller than +@code{STREEBOG256_DIGEST_SIZE}, in which case only the first @var{length} +octets of the digest are written. + +This function also resets the context in the same way as +@code{streebog256_init}. +@end deftypefun + @node Legacy hash functions, nettle_hash abstraction, Recommended hash functions, Hash functions @comment node-name, next, previous, up @subsection Legacy hash functions diff --git a/streebog-meta.c b/streebog-meta.c new file mode 100644 index 000000000000..b8284d5c2b0d --- /dev/null +++ b/streebog-meta.c @@ -0,0 +1,44 @@ +/* streebog-meta.c + + Copyright (C) 2012 Nikos Mavrogiannopoulos, Niels Möller + + This file is part of GNU Nettle. + + GNU Nettle is free software: you can redistribute it and/or + modify it under the terms of either: + + * the GNU Lesser General Public License as published by the Free + Software Foundation; either version 3 of the License, or (at your + option) any later version. + + or + + * the GNU General Public License as published by the Free + Software Foundation; either version 2 of the License, or (at your + option) any later version. + + or both in parallel, as here. + + GNU Nettle is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + General Public License for more details. + + You should have received copies of the GNU General Public License and + the GNU Lesser General Public License along with this program. If + not, see http://www.gnu.org/licenses/. +*/ + +#if HAVE_CONFIG_H +# include "config.h" +#endif + +#include "nettle-meta.h" + +#include "streebog.h" + +const struct nettle_hash nettle_streebog512 += _NETTLE_HASH(streebog512, STREEBOG512); + +const struct nettle_hash nettle_streebog256 += _NETTLE_HASH(streebog256, STREEBOG256); diff --git a/streebog.c b/streebog.c new file mode 100644 index 000000000000..fe8f9359d238 --- /dev/null +++ b/streebog.c @@ -0,0 +1,1334 @@ +/* streebog.c - GOST R 34.11-2012 (Streebog) hash function + + Copyright (C) 2013-2015 Dmitry Eremin-Solenikov + + Based on my code in libgcrypt. + + This file is part of GNU Nettle. + + GNU Nettle is free software: you can redistribute it and/or + modify it under the terms of either: + + * the GNU Lesser General Public License as published by the Free + Software Foundation; either version 3 of the License, or (at your + option) any later version. + + or + + * the GNU General Public License as published by the Free + Software Foundation; either version 2 of the License, or (at your + option) any later version. + + or both in parallel, as here. + + GNU Nettle is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + General Public License for more details. + + You should have received copies of the GNU General Public License and + the GNU Lesser General Public License along with this program. If + not, see http://www.gnu.org/licenses/. + */ + +#if HAVE_CONFIG_H +# include "config.h" +#endif + +#include <assert.h> +#include <stdlib.h> +#include <string.h> + +#include "streebog.h" + +#include "macros.h" +#include "nettle-write.h" + + +/* Pre-computed results of multiplication of bytes on A and reordered with + Pi[]. */ +static const uint64_t streebog_table[8][256] = +{ + /* 0 */ + { 0xd01f715b5c7ef8e6ULL, 0x16fa240980778325ULL, + 0xa8a42e857ee049c8ULL, 0x6ac1068fa186465bULL, + 0x6e417bd7a2e9320bULL, 0x665c8167a437daabULL, + 0x7666681aa89617f6ULL, 0x4b959163700bdcf5ULL, + 0xf14be6b78df36248ULL, 0xc585bd689a625cffULL, + 0x9557d7fca67d82cbULL, 0x89f0b969af6dd366ULL, + 0xb0833d48749f6c35ULL, 0xa1998c23b1ecbc7cULL, + 0x8d70c431ac02a736ULL, 0xd6dfbc2fd0a8b69eULL, + 0x37aeb3e551fa198bULL, 0x0b7d128a40b5cf9cULL, + 0x5a8f2008b5780cbcULL, 0xedec882284e333e5ULL, + 0xd25fc177d3c7c2ceULL, 0x5e0f5d50b61778ecULL, + 0x1d873683c0c24cb9ULL, 0xad040bcbb45d208cULL, + 0x2f89a0285b853c76ULL, 0x5732fff6791b8d58ULL, + 0x3e9311439ef6ec3fULL, 0xc9183a809fd3c00fULL, + 0x83adf3f5260a01eeULL, 0xa6791941f4e8ef10ULL, + 0x103ae97d0ca1cd5dULL, 0x2ce948121dee1b4aULL, + 0x39738421dbf2bf53ULL, 0x093da2a6cf0cf5b4ULL, + 0xcd9847d89cbcb45fULL, 0xf9561c078b2d8ae8ULL, + 0x9c6a755a6971777fULL, 0xbc1ebaa0712ef0c5ULL, + 0x72e61542abf963a6ULL, 0x78bb5fde229eb12eULL, + 0x14ba94250fceb90dULL, 0x844d6697630e5282ULL, + 0x98ea08026a1e032fULL, 0xf06bbea144217f5cULL, + 0xdb6263d11ccb377aULL, 0x641c314b2b8ee083ULL, + 0x320e96ab9b4770cfULL, 0x1ee7deb986a96b85ULL, + 0xe96cf57a878c47b5ULL, 0xfdd6615f8842feb8ULL, + 0xc83862965601dd1bULL, 0x2ea9f83e92572162ULL, + 0xf876441142ff97fcULL, 0xeb2c455608357d9dULL, + 0x5612a7e0b0c9904cULL, 0x6c01cbfb2d500823ULL, + 0x4548a6a7fa037a2dULL, 0xabc4c6bf388b6ef4ULL, + 0xbade77d4fdf8bebdULL, 0x799b07c8eb4cac3aULL, + 0x0c9d87e805b19cf0ULL, 0xcb588aac106afa27ULL, + 0xea0c1d40c1e76089ULL, 0x2869354a1e816f1aULL, + 0xff96d17307fbc490ULL, 0x9f0a9d602f1a5043ULL, + 0x96373fc6e016a5f7ULL, 0x5292dab8b3a6e41cULL, + 0x9b8ae0382c752413ULL, 0x4f15ec3b7364a8a5ULL, + 0x3fb349555724f12bULL, 0xc7c50d4415db66d7ULL, + 0x92b7429ee379d1a7ULL, 0xd37f99611a15dfdaULL, + 0x231427c05e34a086ULL, 0xa439a96d7b51d538ULL, + 0xb403401077f01865ULL, 0xdda2aea5901d7902ULL, + 0x0a5d4a9c8967d288ULL, 0xc265280adf660f93ULL, + 0x8bb0094520d4e94eULL, 0x2a29856691385532ULL, + 0x42a833c5bf072941ULL, 0x73c64d54622b7eb2ULL, + 0x07e095624504536cULL, 0x8a905153e906f45aULL, + 0x6f6123c16b3b2f1fULL, 0xc6e55552dc097bc3ULL, + 0x4468feb133d16739ULL, 0xe211e7f0c7398829ULL, + 0xa2f96419f7879b40ULL, 0x19074bdbc3ad38e9ULL, + 0xf4ebc3f9474e0b0cULL, 0x43886bd376d53455ULL, + 0xd8028beb5aa01046ULL, 0x51f23282f5cdc320ULL, + 0xe7b1c2be0d84e16dULL, 0x081dfab006dee8a0ULL, + 0x3b33340d544b857bULL, 0x7f5bcabc679ae242ULL, + 0x0edd37c48a08a6d8ULL, 0x81ed43d9a9b33bc6ULL, + 0xb1a3655ebd4d7121ULL, 0x69a1eeb5e7ed6167ULL, + 0xf6ab73d5c8f73124ULL, 0x1a67a3e185c61fd5ULL, + 0x2dc91004d43c065eULL, 0x0240b02c8fb93a28ULL, + 0x90f7f2b26cc0eb8fULL, 0x3cd3a16f114fd617ULL, + 0xaae49ea9f15973e0ULL, 0x06c0cd748cd64e78ULL, + 0xda423bc7d5192a6eULL, 0xc345701c16b41287ULL, + 0x6d2193ede4821537ULL, 0xfcf639494190e3acULL, + 0x7c3b228621f1c57eULL, 0xfb16ac2b0494b0c0ULL, + 0xbf7e529a3745d7f9ULL, 0x6881b6a32e3f7c73ULL, + 0xca78d2bad9b8e733ULL, 0xbbfe2fc2342aa3a9ULL, + 0x0dbddffecc6381e4ULL, 0x70a6a56e2440598eULL, + 0xe4d12a844befc651ULL, 0x8c509c2765d0ba22ULL, + 0xee8c6018c28814d9ULL, 0x17da7c1f49a59e31ULL, + 0x609c4c1328e194d3ULL, 0xb3e3d57232f44b09ULL, + 0x91d7aaa4a512f69bULL, 0x0ffd6fd243dabbccULL, + 0x50d26a943c1fde34ULL, 0x6be15e9968545b4fULL, + 0x94778fea6faf9fdfULL, 0x2b09dd7058ea4826ULL, + 0x677cd9716de5c7bfULL, 0x49d5214fffb2e6ddULL, + 0x0360e83a466b273cULL, 0x1fc786af4f7b7691ULL, + 0xa0b9d435783ea168ULL, 0xd49f0c035f118cb6ULL, + 0x01205816c9d21d14ULL, 0xac2453dd7d8f3d98ULL, + 0x545217cc3f70aa64ULL, 0x26b4028e9489c9c2ULL, + 0xdec2469fd6765e3eULL, 0x04807d58036f7450ULL, + 0xe5f17292823ddb45ULL, 0xf30b569b024a5860ULL, + 0x62dcfc3fa758aefbULL, 0xe84cad6c4e5e5aa1ULL, + 0xccb81fce556ea94bULL, 0x53b282ae7a74f908ULL, + 0x1b47fbf74c1402c1ULL, 0x368eebf39828049fULL, + 0x7afbeff2ad278b06ULL, 0xbe5e0a8cfe97caedULL, + 0xcfd8f7f413058e77ULL, 0xf78b2bc301252c30ULL, + 0x4d555c17fcdd928dULL, 0x5f2f05467fc565f8ULL, + 0x24f4b2a21b30f3eaULL, 0x860dd6bbecb768aaULL, + 0x4c750401350f8f99ULL, 0x0000000000000000ULL, + 0xecccd0344d312ef1ULL, 0xb5231806be220571ULL, + 0xc105c030990d28afULL, 0x653c695de25cfd97ULL, + 0x159acc33c61ca419ULL, 0xb89ec7f872418495ULL, + 0xa9847693b73254dcULL, 0x58cf90243ac13694ULL, + 0x59efc832f3132b80ULL, 0x5c4fed7c39ae42c4ULL, + 0x828dabe3efd81cfaULL, 0xd13f294d95ace5f2ULL, + 0x7d1b7a90e823d86aULL, 0xb643f03cf849224dULL, + 0x3df3f979d89dcb03ULL, 0x7426d836272f2ddeULL, + 0xdfe21e891fa4432aULL, 0x3a136c1b9d99986fULL, + 0xfa36f43dcd46add4ULL, 0xc025982650df35bbULL, + 0x856d3e81aadc4f96ULL, 0xc4a5e57e53b041ebULL, + 0x4708168b75ba4005ULL, 0xaf44bbe73be41aa4ULL, + 0x971767d029c4b8e3ULL, 0xb9be9feebb939981ULL, + 0x215497ecd18d9aaeULL, 0x316e7e91dd2c57f3ULL, + 0xcef8afe2dad79363ULL, 0x3853dc371220a247ULL, + 0x35ee03c9de4323a3ULL, 0xe6919aa8c456fc79ULL, + 0xe05157dc4880b201ULL, 0x7bdbb7e464f59612ULL, + 0x127a59518318f775ULL, 0x332ecebd52956ddbULL, + 0x8f30741d23bb9d1eULL, 0xd922d3fd93720d52ULL, + 0x7746300c61440ae2ULL, 0x25d4eab4d2e2eefeULL, + 0x75068020eefd30caULL, 0x135a01474acaea61ULL, + 0x304e268714fe4ae7ULL, 0xa519f17bb283c82cULL, + 0xdc82f6b359cf6416ULL, 0x5baf781e7caa11a8ULL, + 0xb2c38d64fb26561dULL, 0x34ce5bdf17913eb7ULL, + 0x5d6fb56af07c5fd0ULL, 0x182713cd0a7f25fdULL, + 0x9e2ac576e6c84d57ULL, 0x9aaab82ee5a73907ULL, + 0xa3d93c0f3e558654ULL, 0x7e7b92aaae48ff56ULL, + 0x872d8ead256575beULL, 0x41c8dbfff96c0e7dULL, + 0x99ca5014a3cc1e3bULL, 0x40e883e930be1369ULL, + 0x1ca76e95091051adULL, 0x4e35b42dbab6b5b1ULL, + 0x05a0254ecabd6944ULL, 0xe1710fca8152af15ULL, + 0xf22b0e8dcb984574ULL, 0xb763a82a319b3f59ULL, + 0x63fca4296e8ab3efULL, 0x9d4a2d4ca0a36a6bULL, + 0xe331bfe60eeb953dULL, 0xd5bf541596c391a2ULL, + 0xf5cb9bef8e9c1618ULL, 0x46284e9dbc685d11ULL, + 0x2074cffa185f87baULL, 0xbd3ee2b6b8fcedd1ULL, + 0xae64e3f1f23607b0ULL, 0xfeb68965ce29d984ULL, + 0x55724fdaf6a2b770ULL, 0x29496d5cd753720eULL, + 0xa75941573d3af204ULL, 0x8e102c0bea69800aULL, + 0x111ab16bc573d049ULL, 0xd7ffe439197aab8aULL, + 0xefac380e0b5a09cdULL, 0x48f579593660fbc9ULL, + 0x22347fd697e6bd92ULL, 0x61bc1405e13389c7ULL, + 0x4ab5c975b9d9c1e1ULL, 0x80cd1bcf606126d2ULL, + 0x7186fd78ed92449aULL, 0x93971a882aabccb3ULL, + 0x88d0e17f66bfce72ULL, 0x27945a985d5bd4d6ULL }, + /* 1 */ + { 0xde553f8c05a811c8ULL, 0x1906b59631b4f565ULL, + 0x436e70d6b1964ff7ULL, 0x36d343cb8b1e9d85ULL, + 0x843dfacc858aab5aULL, 0xfdfc95c299bfc7f9ULL, + 0x0f634bdea1d51fa2ULL, 0x6d458b3b76efb3cdULL, + 0x85c3f77cf8593f80ULL, 0x3c91315fbe737cb2ULL, + 0x2148b03366ace398ULL, 0x18f8b8264c6761bfULL, + 0xc830c1c495c9fb0fULL, 0x981a76102086a0aaULL, + 0xaa16012142f35760ULL, 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0xff1d8fbf6304f250ULL, 0xb8accb933bf9d7e8ULL, + 0xe8867c478eb68c4dULL, 0x3f8e2692391bddc1ULL, + 0xcb2fd60912a15a7cULL, 0xaec935dbab983d2fULL, + 0xf55ffd2b56691367ULL, 0x80e2ce366ce1c115ULL, + 0x179bf3f8edb27e1dULL, 0x01fe0db07dd394daULL, + 0xda8a0b76ecc37b87ULL, 0x44ae53e1df9584cbULL, + 0xb310b4b77347a205ULL, 0xdfab323c787b8512ULL, + 0x3b511268d070b78eULL, 0x65e6e3d2b9396753ULL, + 0x6864b271e2574d58ULL, 0x259784c98fc789d7ULL, + 0x02e11a7dfabb35a9ULL, 0x8841a6dfa337158bULL, + 0x7ade78c39b5dcdd0ULL, 0xb7cf804d9a2cc84aULL, + 0x20b6bd831b7f7742ULL, 0x75bd331d3a88d272ULL, + 0x418f6aab4b2d7a5eULL, 0xd9951cbb6babdaf4ULL, + 0xb6318dfde7ff5c90ULL, 0x1f389b112264aa83ULL, + 0x492c024284fbaec0ULL, 0xe33a0363c608f9a0ULL, + 0x2688930408af28a4ULL, 0xc7538a1a341ce4adULL, + 0x5da8e677ee2171aeULL, 0x8c9e92254a5c7fc4ULL, + 0x63d8cd55aae938b5ULL, 0x29ebd8daa97a3706ULL, + 0x959827b37be88aa1ULL, 0x1484e4356adadf6eULL, + 0xa7945082199d7d6bULL, 0xbf6ce8a455fa1cd4ULL, + 0x9cc542eac9edcae5ULL, 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0x23a9aa4e9c17d631ULL, + 0x6226c0e5d73aac6fULL, 0x56149953a69f0443ULL, + 0xeeb852c09d66d3abULL, 0x2b0ac2a753c102afULL, + 0x07c023376e03cb3cULL, 0x2ccae1903dc2c993ULL, + 0xd3d76e2f5ec63bc3ULL, 0x9e2458973356ff4cULL, + 0xa66a5d32644ee9b1ULL, 0x0a427294356de137ULL, + 0x783f62be61e6f879ULL, 0x1344c70204d91452ULL, + 0x5b96c8f0fdf12e48ULL, 0xa90916ecc59bf613ULL, + 0xbe92e5142829880eULL, 0x727d102a548b194eULL, + 0x1be7afebcb0fc0ccULL, 0x3e702b2244c8491bULL, + 0xd5e940a84d166425ULL, 0x66f9f41f3e51c620ULL, + 0xabe80c913f20c3baULL, 0xf07ec461c2d1edf2ULL, + 0xf361d3ac45b94c81ULL, 0x0521394a94b8fe95ULL, + 0xadd622162cf09c5cULL, 0xe97871f7f3651897ULL, + 0xf4a1f09b2bba87bdULL, 0x095d6559b2054044ULL, + 0x0bbc7f2448be75edULL, 0x2af4cf172e129675ULL, + 0x157ae98517094bb4ULL, 0x9fda55274e856b96ULL, + 0x914713499283e0eeULL, 0xb952c623462a4332ULL, + 0x74433ead475b46a8ULL, 0x8b5eb112245fb4f8ULL, + 0xa34b6478f0f61724ULL, 0x11a5dd7ffe6221fbULL, + 0xc16da49d27ccbb4bULL, 0x76a224d0bde07301ULL, + 0x8aa0bca2598c2022ULL, 0x4df336b86d90c48fULL, + 0xea67663a740db9e4ULL, 0xef465f70e0b54771ULL, + 0x39b008152acb8227ULL, 0x7d1e5bf4f55e06ecULL, + 0x105bd0cf83b1b521ULL, 0x775c2960c033e7dbULL, + 0x7e014c397236a79fULL, 0x811cc386113255cfULL, + 0xeda7450d1a0e72d8ULL, 0x5889df3d7a998f3bULL, + 0x2e2bfbedc779fc3aULL, 0xce0eef438619a4e9ULL, + 0x372d4e7bf6cd095fULL, 0x04df34fae96b6a4fULL, + 0xf923a13870d4adb6ULL, 0xa1aa7e050a4d228dULL, + 0xa8f71b5cb84862c9ULL, 0xb52e9a306097fde3ULL, + 0x0d8251a35b6e2a0bULL, 0x2257a7fee1c442ebULL, + 0x73831d9a29588d94ULL, 0x51d4ba64c89ccf7fULL, + 0x502ab7d4b54f5ba5ULL, 0x97793dce8153bf08ULL, + 0xe5042de4d5d8a646ULL, 0x9687307efc802bd2ULL, + 0xa05473b5779eb657ULL, 0xb4d097801d446939ULL, + 0xcff0e2f3fbca3033ULL, 0xc38cbee0dd778ee2ULL, + 0x464f499c252eb162ULL, 0xcad1dbb96f72cea6ULL, + 0xba4dd1eec142e241ULL, 0xb00fa37af42f0376ULL }, + /* 2 */ + { 0xcce4cd3aa968b245ULL, 0x089d5484e80b7fafULL, + 0x638246c1b3548304ULL, 0xd2fe0ec8c2355492ULL, + 0xa7fbdf7ff2374eeeULL, 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0xf2b043e24519b514ULL, 0xe297ebf7880f4b57ULL, + 0x3a94a49a98fab688ULL, 0x868516cb68f0c419ULL, + 0xeffa11af0964ee50ULL, 0xa4ab4ec0d517f37dULL, + 0xa9c6b498547c567aULL, 0x8e18424f80fbbbb6ULL, + 0x0bcdc53bcf2bc23cULL, 0x137739aaea3643d0ULL, + 0x2c1333ec1bac2ff0ULL, 0x8d48d3f0a7db0625ULL, + 0x1e1ac3f26b5de6d7ULL, 0xf520f81f16b2b95eULL, + 0x9f0f6ec450062e84ULL, 0x0130849e1deb6b71ULL, + 0xd45e31ab8c7533a9ULL, 0x652279a2fd14e43fULL, + 0x3209f01e70f1c927ULL, 0xbe71a770cac1a473ULL, + 0x0e3d6be7a64b1894ULL, 0x7ec8148cff29d840ULL, + 0xcb7476c7fac3be0fULL, 0x72956a4a63a91636ULL, + 0x37f95ec21991138fULL, 0x9e3fea5a4ded45f5ULL, + 0x7b38ba50964902e8ULL, 0x222e580bbde73764ULL, + 0x61e253e0899f55e6ULL, 0xfc8d2805e352ad80ULL, + 0x35994be3235ac56dULL, 0x09add01af5e014deULL, + 0x5e8659a6780539c6ULL, 0xb17c48097161d796ULL, + 0x026015213acbd6e2ULL, 0xd1ae9f77e515e901ULL, + 0xb7dc776a3f21b0adULL, 0xaba6a1b96eb78098ULL, + 0x9bcf4486248d9f5dULL, 0x582666c536455efdULL, + 0xfdbdac9bfeb9c6f1ULL, 0xc47999be4163cdeaULL, + 0x765540081722a7efULL, 0x3e548ed8ec710751ULL, + 0x3d041f67cb51bac2ULL, 0x7958af71ac82d40aULL, + 0x36c9da5c047a78feULL, 0xed9a048e33af38b2ULL, + 0x26ee7249c96c86bdULL, 0x900281bdeba65d61ULL, + 0x11172c8bd0fd9532ULL, 0xea0abf73600434f8ULL, + 0x42fc8f75299309f3ULL, 0x34a9cf7d3eb1ae1cULL, + 0x2b838811480723baULL, 0x5ce64c8742ceef24ULL, + 0x1adae9b01fd6570eULL, 0x3c349bf9d6bad1b3ULL, + 0x82453c891c7b75c0ULL, 0x97923a40b80d512bULL, + 0x4a61dbf1c198765cULL, 0xb48ce6d518010d3eULL, + 0xcfb45c858e480fd6ULL, 0xd933cbf30d1e96aeULL, + 0xd70ea014ab558e3aULL, 0xc189376228031742ULL, + 0x9262949cd16d8b83ULL, 0xeb3a3bed7def5f89ULL, + 0x49314a4ee6b8cbcfULL, 0xdcc3652f647e4c06ULL, + 0xda635a4c2a3e2b3dULL, 0x470c21a940f3d35bULL, + 0x315961a157d174b4ULL, 0x6672e81dda3459acULL, + 0x5b76f77a1165e36eULL, 0x445cb01667d36ec8ULL, + 0xc5491d205c88a69bULL, 0x456c34887a3805b9ULL, + 0xffddb9bac4721013ULL, 0x99af51a71e4649bfULL, + 0xa15be01cbc7729d5ULL, 0x52db2760e485f7b0ULL, + 0x8c78576eba306d54ULL, 0xae560f6507d75a30ULL, + 0x95f22f6182c687c9ULL, 0x71c5fbf54489aba5ULL, + 0xca44f259e728d57eULL, 0x88b87d2ccebbdc8dULL, + 0xbab18d32be4a15aaULL, 0x8be8ec93e99b611eULL, + 0x17b713e89ebdf209ULL, 0xb31c5d284baa0174ULL, + 0xeeca9531148f8521ULL, 0xb8d198138481c348ULL, + 0x8988f9b2d350b7fcULL, 0xb9e11c8d996aa839ULL, + 0x5a4673e40c8e881fULL, 0x1687977683569978ULL, + 0xbf4123eed72acf02ULL, 0x4ea1f1b3b513c785ULL, + 0xe767452be16f91ffULL, 0x7505d1b730021a7cULL, + 0xa59bca5ec8fc980cULL, 0xad069eda20f7e7a3ULL, + 0x38f4b1bba231606aULL, 0x60d2d77e94743e97ULL, + 0x9affc0183966f42cULL, 0x248e6768f3a7505fULL, + 0xcdd449a4b483d934ULL, 0x87b59255751baf68ULL, + 0x1bea6d2e023d3c7fULL, 0x6b1f12455b5ffcabULL, + 0x743555292de9710dULL, 0xd8034f6d10f5fddfULL, + 0xc6198c9f7ba81b08ULL, 0xbb8109aca3a17edbULL, + 0xfa2d1766ad12cabbULL, 0xc729080166437079ULL, + 0x9c5fff7b77269317ULL, 0x0000000000000000ULL, + 0x15d706c9a47624ebULL, 0x6fdf38072fd44d72ULL, + 0x5fb6dd3865ee52b7ULL, 0xa33bf53d86bcff37ULL, + 0xe657c1b5fc84fa8eULL, 0xaa962527735cebe9ULL, + 0x39c43525bfda0b1bULL, 0x204e4d2a872ce186ULL, + 0x7a083ece8ba26999ULL, 0x554b9c9db72efbfaULL, + 0xb22cd9b656416a05ULL, 0x96a2bedea5e63a5aULL, + 0x802529a826b0a322ULL, 0x8115ad363b5bc853ULL, + 0x8375b81701901eb1ULL, 0x3069e53f4a3a1fc5ULL, + 0xbd2136cfede119e0ULL, 0x18bafc91251d81ecULL, + 0x1d4a524d4c7d5b44ULL, 0x05f0aedc6960daa8ULL, + 0x29e39d3072ccf558ULL, 0x70f57f6b5962c0d4ULL, + 0x989fd53903ad22ceULL, 0xf84d024797d91c59ULL, + 0x547b1803aac5908bULL, 0xf0d056c37fd263f6ULL, + 0xd56eb535919e58d8ULL, 0x1c7ad6d351963035ULL, + 0x2e7326cd2167f912ULL, 0xac361a443d1c8cd2ULL, + 0x697f076461942a49ULL, 0x4b515f6fdc731d2dULL, + 0x8ad8680df4700a6fULL, 0x41ac1eca0eb3b460ULL, + 0x7d988533d80965d3ULL, 0xa8f6300649973d0bULL, + 0x7765c4960ac9cc9eULL, 0x7ca801adc5e20ea2ULL, + 0xdea3700e5eb59ae4ULL, 0xa06b6482a19c42a4ULL, + 0x6a2f96db46b497daULL, 0x27def6d7d487edccULL, + 0x463ca5375d18b82aULL, 0xa6cb5be1efdc259fULL, + 0x53eba3fef96e9cc1ULL, 0xce84d81b93a364a7ULL, + 0xf4107c810b59d22fULL, 0x333974806d1aa256ULL, + 0x0f0def79bba073e5ULL, 0x231edc95a00c5c15ULL, + 0xe437d494c64f2c6cULL, 0x91320523f64d3610ULL, + 0x67426c83c7df32ddULL, 0x6eefbc99323f2603ULL, + 0x9d6f7be56acdf866ULL, 0x5916e25b2bae358cULL, + 0x7ff89012e2c2b331ULL, 0x035091bf2720bd93ULL, + 0x561b0d22900e4669ULL, 0x28d319ae6f279e29ULL, + 0x2f43a2533c8c9263ULL, 0xd09e1be9f8fe8270ULL, + 0xf740ed3e2c796fbcULL, 0xdb53ded237d5404cULL, + 0x62b2c25faebfe875ULL, 0x0afd41a5d2c0a94dULL, + 0x6412fd3ce0ff8f4eULL, 0xe3a76f6995e42026ULL, + 0x6c8fa9b808f4f0e1ULL, 0xc2d9a6dd0f23aad1ULL, + 0x8f28c6d19d10d0c7ULL, 0x85d587744fd0798aULL, + 0xa20b71a39b579446ULL, 0x684f83fa7c7f4138ULL, + 0xe507500adba4471dULL, 0x3f640a46f19a6c20ULL, + 0x1247bd34f7dd28a1ULL, 0x2d23b77206474481ULL, + 0x93521002cc86e0f2ULL, 0x572b89bc8de52d18ULL, + 0xfb1d93f8b0f9a1caULL, 0xe95a2ecc4724896bULL, + 0x3ba420048511ddf9ULL, 0xd63e248ab6bee54bULL, + 0x5dd6c8195f258455ULL, 0x06a03f634e40673bULL, + 0x1f2a476c76b68da6ULL, 0x217ec9b49ac78af7ULL, + 0xecaa80102e4453c3ULL, 0x14e78257b99d4f9aULL }, + /* 3 */ + { 0x20329b2cc87bba05ULL, 0x4f5eb6f86546a531ULL, + 0xd4f44775f751b6b1ULL, 0x8266a47b850dfa8bULL, + 0xbb986aa15a6ca985ULL, 0xc979eb08f9ae0f99ULL, + 0x2da6f447a2375ea1ULL, 0x1e74275dcd7d8576ULL, + 0xbc20180a800bc5f8ULL, 0xb4a2f701b2dc65beULL, + 0xe726946f981b6d66ULL, 0x48e6c453bf21c94cULL, + 0x42cad9930f0a4195ULL, 0xefa47b64aacccd20ULL, + 0x71180a8960409a42ULL, 0x8bb3329bf6a44e0cULL, + 0xd34c35de2d36daccULL, 0xa92f5b7cbc23dc96ULL, + 0xb31a85aa68bb09c3ULL, 0x13e04836a73161d2ULL, + 0xb24dfc4129c51d02ULL, 0x8ae44b70b7da5acdULL, + 0xe671ed84d96579a7ULL, 0xa4bb3417d66f3832ULL, + 0x4572ab38d56d2de8ULL, 0xb1b47761ea47215cULL, + 0xe81c09cf70aba15dULL, 0xffbdb872ce7f90acULL, + 0xa8782297fd5dc857ULL, 0x0d946f6b6a4ce4a4ULL, + 0xe4df1f4f5b995138ULL, 0x9ebc71edca8c5762ULL, + 0x0a2c1dc0b02b88d9ULL, 0x3b503c115d9d7b91ULL, + 0xc64376a8111ec3a2ULL, 0xcec199a323c963e4ULL, + 0xdc76a87ec58616f7ULL, 0x09d596e073a9b487ULL, + 0x14583a9d7d560dafULL, 0xf4c6dc593f2a0cb4ULL, + 0xdd21d19584f80236ULL, 0x4a4836983ddde1d3ULL, + 0xe58866a41ae745f9ULL, 0xf591a5b27e541875ULL, + 0x891dc05074586693ULL, 0x5b068c651810a89eULL, + 0xa30346bc0c08544fULL, 0x3dbf3751c684032dULL, + 0x2a1e86ec785032dcULL, 0xf73f5779fca830eaULL, + 0xb60c05ca30204d21ULL, 0x0cc316802b32f065ULL, + 0x8770241bdd96be69ULL, 0xb861e18199ee95dbULL, + 0xf805cad91418fcd1ULL, 0x29e70dccbbd20e82ULL, + 0xc7140f435060d763ULL, 0x0f3a9da0e8b0cc3bULL, + 0xa2543f574d76408eULL, 0xbd7761e1c175d139ULL, + 0x4b1f4f737ca3f512ULL, 0x6dc2df1f2fc137abULL, + 0xf1d05c3967b14856ULL, 0xa742bf3715ed046cULL, + 0x654030141d1697edULL, 0x07b872abda676c7dULL, + 0x3ce84eba87fa17ecULL, 0xc1fb0403cb79afdfULL, + 0x3e46bc7105063f73ULL, 0x278ae987121cd678ULL, + 0xa1adb4778ef47cd0ULL, 0x26dd906c5362c2b9ULL, + 0x05168060589b44e2ULL, 0xfbfc41f9d79ac08fULL, + 0x0e6de44ba9ced8faULL, 0x9feb08068bf243a3ULL, + 0x7b341749d06b129bULL, 0x229c69e74a87929aULL, + 0xe09ee6c4427c011bULL, 0x5692e30e725c4c3aULL, + 0xda99a33e5e9f6e4bULL, 0x353dd85af453a36bULL, + 0x25241b4c90e0fee7ULL, 0x5de987258309d022ULL, + 0xe230140fc0802984ULL, 0x93281e86a0c0b3c6ULL, + 0xf229d719a4337408ULL, 0x6f6c2dd4ad3d1f34ULL, + 0x8ea5b2fbae3f0aeeULL, 0x8331dd90c473ee4aULL, + 0x346aa1b1b52db7aaULL, 0xdf8f235e06042aa9ULL, + 0xcc6f6b68a1354b7bULL, 0x6c95a6f46ebf236aULL, + 0x52d31a856bb91c19ULL, 0x1a35ded6d498d555ULL, + 0xf37eaef2e54d60c9ULL, 0x72e181a9a3c2a61cULL, + 0x98537aad51952fdeULL, 0x16f6c856ffaa2530ULL, + 0xd960281e9d1d5215ULL, 0x3a0745fa1ce36f50ULL, + 0x0b7b642bf1559c18ULL, 0x59a87eae9aec8001ULL, + 0x5e100c05408bec7cULL, 0x0441f98b19e55023ULL, + 0xd70dcc5534d38aefULL, 0x927f676de1bea707ULL, + 0x9769e70db925e3e5ULL, 0x7a636ea29115065aULL, + 0x468b201816ef11b6ULL, 0xab81a9b73edff409ULL, + 0xc0ac7de88a07bb1eULL, 0x1f235eb68c0391b7ULL, + 0x6056b074458dd30fULL, 0xbe8eeac102f7ed67ULL, + 0xcd381283e04b5fbaULL, 0x5cbefecec277c4e3ULL, + 0xd21b4c356c48ce0dULL, 0x1019c31664b35d8cULL, + 0x247362a7d19eea26ULL, 0xebe582efb3299d03ULL, + 0x02aef2cb82fc289fULL, 0x86275df09ce8aaa8ULL, + 0x28b07427faac1a43ULL, 0x38a9b7319e1f47cfULL, + 0xc82e92e3b8d01b58ULL, 0x06ef0b409b1978bcULL, + 0x62f842bfc771fb90ULL, 0x9904034610eb3b1fULL, + 0xded85ab5477a3e68ULL, 0x90d195a663428f98ULL, + 0x5384636e2ac708d8ULL, 0xcbd719c37b522706ULL, + 0xae9729d76644b0ebULL, 0x7c8c65e20a0c7ee6ULL, + 0x80c856b007f1d214ULL, 0x8c0b40302cc32271ULL, + 0xdbcedad51fe17a8aULL, 0x740e8ae938dbdea0ULL, + 0xa615c6dc549310adULL, 0x19cc55f6171ae90bULL, + 0x49b1bdb8fe5fdd8dULL, 0xed0a89af2830e5bfULL, + 0x6a7aadb4f5a65bd6ULL, 0x7e22972988f05679ULL, + 0xf952b3325566e810ULL, 0x39fecedadf61530eULL, + 0x6101c99f04f3c7ceULL, 0x2e5f7f6761b562ffULL, + 0xf08725d226cf5c97ULL, 0x63af3b54860fef51ULL, + 0x8ff2cb10ef411e2fULL, 0x884ab9bb35267252ULL, + 0x4df04433e7ba8daeULL, 0x9afd8866d3690741ULL, + 0x66b9bb34de94abb3ULL, 0x9baaf18d92171380ULL, + 0x543c11c5f0a064a5ULL, 0x17a1b1bdbed431f1ULL, + 0xb5f58eeaf3a2717fULL, 0xc355f6c849858740ULL, + 0xec5df044694ef17eULL, 0xd83751f5dc6346d4ULL, + 0xfc4433520dfdacf2ULL, 0x0000000000000000ULL, + 0x5a51f58e596ebc5fULL, 0x3285aaf12e34cf16ULL, + 0x8d5c39db6dbd36b0ULL, 0x12b731dde64f7513ULL, + 0x94906c2d7aa7dfbbULL, 0x302b583aacc8e789ULL, + 0x9d45facd090e6b3cULL, 0x2165e2c78905aec4ULL, + 0x68d45f7f775a7349ULL, 0x189b2c1d5664fdcaULL, + 0xe1c99f2f030215daULL, 0x6983269436246788ULL, + 0x8489af3b1e148237ULL, 0xe94b702431d5b59cULL, + 0x33d2d31a6f4adbd7ULL, 0xbfd9932a4389f9a6ULL, + 0xb0e30e8aab39359dULL, 0xd1e2c715afcaf253ULL, + 0x150f43763c28196eULL, 0xc4ed846393e2eb3dULL, + 0x03f98b20c3823c5eULL, 0xfd134ab94c83b833ULL, + 0x556b682eb1de7064ULL, 0x36c4537a37d19f35ULL, + 0x7559f30279a5ca61ULL, 0x799ae58252973a04ULL, + 0x9c12832648707ffdULL, 0x78cd9c6913e92ec5ULL, + 0x1d8dac7d0effb928ULL, 0x439da0784e745554ULL, + 0x413352b3cc887dcbULL, 0xbacf134a1b12bd44ULL, + 0x114ebafd25cd494dULL, 0x2f08068c20cb763eULL, + 0x76a07822ba27f63fULL, 0xeab2fb04f25789c2ULL, + 0xe3676de481fe3d45ULL, 0x1b62a73d95e6c194ULL, + 0x641749ff5c68832cULL, 0xa5ec4dfc97112cf3ULL, + 0xf6682e92bdd6242bULL, 0x3f11c59a44782bb2ULL, + 0x317c21d1edb6f348ULL, 0xd65ab5be75ad9e2eULL, + 0x6b2dd45fb4d84f17ULL, 0xfaab381296e4d44eULL, + 0xd0b5befeeeb4e692ULL, 0x0882ef0b32d7a046ULL, + 0x512a91a5a83b2047ULL, 0x963e9ee6f85bf724ULL, + 0x4e09cf132438b1f0ULL, 0x77f701c9fb59e2feULL, + 0x7ddb1c094b726a27ULL, 0x5f4775ee01f5f8bdULL, + 0x9186ec4d223c9b59ULL, 0xfeeac1998f01846dULL, + 0xac39db1ce4b89874ULL, 0xb75b7c21715e59e0ULL, + 0xafc0503c273aa42aULL, 0x6e3b543fec430bf5ULL, + 0x704f7362213e8e83ULL, 0x58ff0745db9294c0ULL, + 0x67eec2df9feabf72ULL, 0xa0facd9ccf8a6811ULL, + 0xb936986ad890811aULL, 0x95c715c63bd9cb7aULL, + 0xca8060283a2c33c7ULL, 0x507de84ee9453486ULL, + 0x85ded6d05f6a96f6ULL, 0x1cdad5964f81ade9ULL, + 0xd5a33e9eb62fa270ULL, 0x40642b588df6690aULL, + 0x7f75eec2c98e42b8ULL, 0x2cf18dace3494a60ULL, + 0x23cb100c0bf9865bULL, 0xeef3028febb2d9e1ULL, + 0x4425d2d394133929ULL, 0xaad6d05c7fa1e0c8ULL, + 0xad6ea2f7a5c68cb5ULL, 0xc2028f2308fb9381ULL, + 0x819f2f5b468fc6d5ULL, 0xc5bafd88d29cfffcULL, + 0x47dc59f357910577ULL, 0x2b49ff07392e261dULL, + 0x57c59ae5332258fbULL, 0x73b6f842e2bcb2ddULL, + 0xcf96e04862b77725ULL, 0x4ca73dd8a6c4996fULL, + 0x015779eb417e14c1ULL, 0x37932a9176af8bf4ULL }, + /* 4 */ + { 0x190a2c9b249df23eULL, 0x2f62f8b62263e1e9ULL, + 0x7a7f754740993655ULL, 0x330b7ba4d5564d9fULL, + 0x4c17a16a46672582ULL, 0xb22f08eb7d05f5b8ULL, + 0x535f47f40bc148ccULL, 0x3aec5d27d4883037ULL, + 0x10ed0a1825438f96ULL, 0x516101f72c233d17ULL, + 0x13cc6f949fd04eaeULL, 0x739853c441474bfdULL, + 0x653793d90d3f5b1bULL, 0x5240647b96b0fc2fULL, + 0x0c84890ad27623e0ULL, 0xd7189b32703aaea3ULL, + 0x2685de3523bd9c41ULL, 0x99317c5b11bffefaULL, + 0x0d9baa854f079703ULL, 0x70b93648fbd48ac5ULL, + 0xa80441fce30bc6beULL, 0x7287704bdc36ff1eULL, + 0xb65384ed33dc1f13ULL, 0xd36417343ee34408ULL, + 0x39cd38ab6e1bf10fULL, 0x5ab861770a1f3564ULL, + 0x0ebacf09f594563bULL, 0xd04572b884708530ULL, + 0x3cae9722bdb3af47ULL, 0x4a556b6f2f5cbaf2ULL, + 0xe1704f1f76c4bd74ULL, 0x5ec4ed7144c6dfcfULL, + 0x16afc01d4c7810e6ULL, 0x283f113cd629ca7aULL, + 0xaf59a8761741ed2dULL, 0xeed5a3991e215facULL, + 0x3bf37ea849f984d4ULL, 0xe413e096a56ce33cULL, + 0x2c439d3a98f020d1ULL, 0x637559dc6404c46bULL, + 0x9e6c95d1e5f5d569ULL, 0x24bb9836045fe99aULL, + 0x44efa466dac8ecc9ULL, 0xc6eab2a5c80895d6ULL, + 0x803b50c035220cc4ULL, 0x0321658cba93c138ULL, + 0x8f9ebc465dc7ee1cULL, 0xd15a5137190131d3ULL, + 0x0fa5ec8668e5e2d8ULL, 0x91c979578d1037b1ULL, + 0x0642ca05693b9f70ULL, 0xefca80168350eb4fULL, + 0x38d21b24f36a45ecULL, 0xbeab81e1af73d658ULL, + 0x8cbfd9cae7542f24ULL, 0xfd19cc0d81f11102ULL, + 0x0ac6430fbb4dbc90ULL, 0x1d76a09d6a441895ULL, + 0x2a01573ff1cbbfa1ULL, 0xb572e161894fde2bULL, + 0x8124734fa853b827ULL, 0x614b1fdf43e6b1b0ULL, + 0x68ac395c4238cc18ULL, 0x21d837bfd7f7b7d2ULL, + 0x20c714304a860331ULL, 0x5cfaab726324aa14ULL, + 0x74c5ba4eb50d606eULL, 0xf3a3030474654739ULL, + 0x23e671bcf015c209ULL, 0x45f087e947b9582aULL, + 0xd8bd77b418df4c7bULL, 0xe06f6c90ebb50997ULL, + 0x0bd96080263c0873ULL, 0x7e03f9410e40dcfeULL, + 0xb8e94be4c6484928ULL, 0xfb5b0608e8ca8e72ULL, + 0x1a2b49179e0e3306ULL, 0x4e29e76961855059ULL, + 0x4f36c4e6fcf4e4baULL, 0x49740ee395cf7bcaULL, + 0xc2963ea386d17f7dULL, 0x90d65ad810618352ULL, + 0x12d34c1b02a1fa4dULL, 0xfa44258775bb3a91ULL, + 0x18150f14b9ec46ddULL, 0x1491861e6b9a653dULL, + 0x9a1019d7ab2c3fc2ULL, 0x3668d42d06fe13d7ULL, + 0xdcc1fbb25606a6d0ULL, 0x969490dd795a1c22ULL, + 0x3549b1a1bc6dd2efULL, 0xc94f5e23a0ed770eULL, + 0xb9f6686b5b39fdcbULL, 0xc4d4f4a6efeae00dULL, + 0xe732851a1fff2204ULL, 0x94aad6de5eb869f9ULL, + 0x3f8ff2ae07206e7fULL, 0xfe38a9813b62d03aULL, + 0xa7a1ad7a8bee2466ULL, 0x7b6056c8dde882b6ULL, + 0x302a1e286fc58ca7ULL, 0x8da0fa457a259bc7ULL, + 0xb3302b64e074415bULL, 0x5402ae7eff8b635fULL, + 0x08f8050c9cafc94bULL, 0xae468bf98a3059ceULL, + 0x88c355cca98dc58fULL, 0xb10e6d67c7963480ULL, + 0xbad70de7e1aa3cf3ULL, 0xbfb4a26e320262bbULL, + 0xcb711820870f02d5ULL, 0xce12b7a954a75c9dULL, + 0x563ce87dd8691684ULL, 0x9f73b65e7884618aULL, + 0x2b1e74b06cba0b42ULL, 0x47cec1ea605b2df1ULL, + 0x1c698312f735ac76ULL, 0x5fdbcefed9b76b2cULL, + 0x831a354c8fb1cdfcULL, 0x820516c312c0791fULL, + 0xb74ca762aeadabf0ULL, 0xfc06ef821c80a5e1ULL, + 0x5723cbf24518a267ULL, 0x9d4df05d5f661451ULL, + 0x588627742dfd40bfULL, 0xda8331b73f3d39a0ULL, + 0x17b0e392d109a405ULL, 0xf965400bcf28fba9ULL, + 0x7c3dbf4229a2a925ULL, 0x023e460327e275dbULL, + 0x6cd0b55a0ce126b3ULL, 0xe62da695828e96e7ULL, + 0x42ad6e63b3f373b9ULL, 0xe50cc319381d57dfULL, + 0xc5cbd729729b54eeULL, 0x46d1e265fd2a9912ULL, + 0x6428b056904eeff8ULL, 0x8be23040131e04b7ULL, + 0x6709d5da2add2ec0ULL, 0x075de98af44a2b93ULL, + 0x8447dcc67bfbe66fULL, 0x6616f655b7ac9a23ULL, + 0xd607b8bded4b1a40ULL, 0x0563af89d3a85e48ULL, + 0x3db1b4ad20c21ba4ULL, 0x11f22997b8323b75ULL, + 0x292032b34b587e99ULL, 0x7f1cdace9331681dULL, + 0x8e819fc9c0b65affULL, 0xa1e3677fe2d5bb16ULL, + 0xcd33d225ee349da5ULL, 0xd9a2543b85aef898ULL, + 0x795e10cbfa0af76dULL, 0x25a4bbb9992e5d79ULL, + 0x78413344677b438eULL, 0xf0826688cef68601ULL, + 0xd27b34bba392f0ebULL, 0x551d8df162fad7bcULL, + 0x1e57c511d0d7d9adULL, 0xdeffbdb171e4d30bULL, + 0xf4feea8e802f6caaULL, 0xa480c8f6317de55eULL, + 0xa0fc44f07fa40ff5ULL, 0x95b5f551c3c9dd1aULL, + 0x22f952336d6476eaULL, 0x0000000000000000ULL, + 0xa6be8ef5169f9085ULL, 0xcc2cf1aa73452946ULL, + 0x2e7ddb39bf12550aULL, 0xd526dd3157d8db78ULL, + 0x486b2d6c08becf29ULL, 0x9b0f3a58365d8b21ULL, + 0xac78cdfaadd22c15ULL, 0xbc95c7e28891a383ULL, + 0x6a927f5f65dab9c3ULL, 0xc3891d2c1ba0cb9eULL, + 0xeaa92f9f50f8b507ULL, 0xcf0d9426c9d6e87eULL, + 0xca6e3baf1a7eb636ULL, 0xab25247059980786ULL, + 0x69b31ad3df4978fbULL, 0xe2512a93cc577c4cULL, + 0xff278a0ea61364d9ULL, 0x71a615c766a53e26ULL, + 0x89dc764334fc716cULL, 0xf87a638452594f4aULL, + 0xf2bc208be914f3daULL, 0x8766b94ac1682757ULL, + 0xbbc82e687cdb8810ULL, 0x626a7a53f9757088ULL, + 0xa2c202f358467a2eULL, 0x4d0882e5db169161ULL, + 0x09e7268301de7da8ULL, 0xe897699c771ac0dcULL, + 0xc8507dac3d9cc3edULL, 0xc0a878a0a1330aa6ULL, + 0x978bb352e42ba8c1ULL, 0xe9884a13ea6b743fULL, + 0x279afdbabecc28a2ULL, 0x047c8c064ed9eaabULL, + 0x507e2278b15289f4ULL, 0x599904fbb08cf45cULL, + 0xbd8ae46d15e01760ULL, 0x31353da7f2b43844ULL, + 0x8558ff49e68a528cULL, 0x76fbfc4d92ef15b5ULL, + 0x3456922e211c660cULL, 0x86799ac55c1993b4ULL, + 0x3e90d1219a51da9cULL, 0x2d5cbeb505819432ULL, + 0x982e5fd48cce4a19ULL, 0xdb9c1238a24c8d43ULL, + 0xd439febecaa96f9bULL, 0x418c0bef0960b281ULL, + 0x158ea591f6ebd1deULL, 0x1f48e69e4da66d4eULL, + 0x8afd13cf8e6fb054ULL, 0xf5e1c9011d5ed849ULL, + 0xe34e091c5126c8afULL, 0xad67ee7530a398f6ULL, + 0x43b24dec2e82c75aULL, 0x75da99c1287cd48dULL, + 0x92e81cdb3783f689ULL, 0xa3dd217cc537cecdULL, + 0x60543c50de970553ULL, 0x93f73f54aaf2426aULL, + 0xa91b62737e7a725dULL, 0xf19d4507538732e2ULL, + 0x77e4dfc20f9ea156ULL, 0x7d229ccdb4d31dc6ULL, + 0x1b346a98037f87e5ULL, 0xedf4c615a4b29e94ULL, + 0x4093286094110662ULL, 0xb0114ee85ae78063ULL, + 0x6ff1d0d6b672e78bULL, 0x6dcf96d591909250ULL, + 0xdfe09e3eec9567e8ULL, 0x3214582b4827f97cULL, + 0xb46dc2ee143e6ac8ULL, 0xf6c0ac8da7cd1971ULL, + 0xebb60c10cd8901e4ULL, 0xf7df8f023abcad92ULL, + 0x9c52d3d2c217a0b2ULL, 0x6b8d5cd0f8ab0d20ULL, + 0x3777f7a29b8fa734ULL, 0x011f238f9d71b4e3ULL, + 0xc1b75b2f3c42be45ULL, 0x5de588fdfe551ef7ULL, + 0x6eeef3592b035368ULL, 0xaa3a07ffc4e9b365ULL, + 0xecebe59a39c32a77ULL, 0x5ba742f8976e8187ULL, + 0x4b4a48e0b22d0e11ULL, 0xddded83dcb771233ULL, + 0xa59feb79ac0c51bdULL, 0xc7f5912a55792135ULL }, + /* 5 */ + { 0x6d6ae04668a9b08aULL, 0x3ab3f04b0be8c743ULL, + 0xe51e166b54b3c908ULL, 0xbe90a9eb35c2f139ULL, + 0xb2c7066637f2bec1ULL, 0xaa6945613392202cULL, + 0x9a28c36f3b5201ebULL, 0xddce5a93ab536994ULL, + 0x0e34133ef6382827ULL, 0x52a02ba1ec55048bULL, + 0xa2f88f97c4b2a177ULL, 0x8640e513ca2251a5ULL, + 0xcdf1d36258137622ULL, 0xfe6cb708dedf8ddbULL, + 0x8a174a9ec8121e5dULL, 0x679896036b81560eULL, + 0x59ed033395795feeULL, 0x1dd778ab8b74edafULL, + 0xee533ef92d9f926dULL, 0x2a8c79baf8a8d8f5ULL, + 0x6bcf398e69b119f6ULL, 0xe20491742fafdd95ULL, + 0x276488e0809c2aecULL, 0xea955b82d88f5cceULL, + 0x7102c63a99d9e0c4ULL, 0xf9763017a5c39946ULL, + 0x429fa2501f151b3dULL, 0x4659c72bea05d59eULL, + 0x984b7fdccf5a6634ULL, 0xf742232953fbb161ULL, + 0x3041860e08c021c7ULL, 0x747bfd9616cd9386ULL, + 0x4bb1367192312787ULL, 0x1b72a1638a6c44d3ULL, + 0x4a0e68a6e8359a66ULL, 0x169a5039f258b6caULL, + 0xb98a2ef44edee5a4ULL, 0xd9083fe85e43a737ULL, + 0x967f6ce239624e13ULL, 0x8874f62d3c1a7982ULL, + 0x3c1629830af06e3fULL, 0x9165ebfd427e5a8eULL, + 0xb5dd81794ceeaa5cULL, 0x0de8f15a7834f219ULL, + 0x70bd98ede3dd5d25ULL, 0xaccc9ca9328a8950ULL, + 0x56664eda1945ca28ULL, 0x221db34c0f8859aeULL, + 0x26dbd637fa98970dULL, 0x1acdffb4f068f932ULL, + 0x4585254f64090fa0ULL, 0x72de245e17d53afaULL, + 0x1546b25d7c546cf4ULL, 0x207e0ffffb803e71ULL, + 0xfaaad2732bcf4378ULL, 0xb462dfae36ea17bdULL, + 0xcf926fd1ac1b11fdULL, 0xe0672dc7dba7ba4aULL, + 0xd3fa49ad5d6b41b3ULL, 0x8ba81449b216a3bcULL, + 0x14f9ec8a0650d115ULL, 0x40fc1ee3eb1d7ce2ULL, + 0x23a2ed9b758ce44fULL, 0x782c521b14fddc7eULL, + 0x1c68267cf170504eULL, 0xbcf31558c1ca96e6ULL, + 0xa781b43b4ba6d235ULL, 0xf6fd7dfe29ff0c80ULL, + 0xb0a4bad5c3fad91eULL, 0xd199f51ea963266cULL, + 0x414340349119c103ULL, 0x5405f269ed4dadf7ULL, + 0xabd61bb649969dcdULL, 0x6813dbeae7bdc3c8ULL, + 0x65fb2ab09f8931d1ULL, 0xf1e7fae152e3181dULL, + 0xc1a67cef5a2339daULL, 0x7a4feea8e0f5bba1ULL, + 0x1e0b9acf05783791ULL, 0x5b8ebf8061713831ULL, + 0x80e53cdbcb3af8d9ULL, 0x7e898bd315e57502ULL, + 0xc6bcfbf0213f2d47ULL, 0x95a38e86b76e942dULL, + 0x092e94218d243cbaULL, 0x8339debf453622e7ULL, + 0xb11be402b9fe64ffULL, 0x57d9100d634177c9ULL, + 0xcc4e8db52217cbc3ULL, 0x3b0cae9c71ec7aa2ULL, + 0xfb158ca451cbfe99ULL, 0x2b33276d82ac6514ULL, + 0x01bf5ed77a04bde1ULL, 0xc5601994af33f779ULL, + 0x75c4a3416cc92e67ULL, 0xf3844652a6eb7fc2ULL, + 0x3487e375fdd0ef64ULL, 0x18ae430704609eedULL, + 0x4d14efb993298efbULL, 0x815a620cb13e4538ULL, + 0x125c354207487869ULL, 0x9eeea614ce42cf48ULL, + 0xce2d3106d61fac1cULL, 0xbbe99247bad6827bULL, + 0x071a871f7b1c149dULL, 0x2e4a1cc10db81656ULL, + 0x77a71ff298c149b8ULL, 0x06a5d9c80118a97cULL, + 0xad73c27e488e34b1ULL, 0x443a7b981e0db241ULL, + 0xe3bbcfa355ab6074ULL, 0x0af276450328e684ULL, + 0x73617a896dd1871bULL, 0x58525de4ef7de20fULL, + 0xb7be3dcab8e6cd83ULL, 0x19111dd07e64230cULL, + 0x842359a03e2a367aULL, 0x103f89f1f3401fb6ULL, + 0xdc710444d157d475ULL, 0xb835702334da5845ULL, + 0x4320fc876511a6dcULL, 0xd026abc9d3679b8dULL, + 0x17250eee885c0b2bULL, 0x90dab52a387ae76fULL, + 0x31fed8d972c49c26ULL, 0x89cba8fa461ec463ULL, + 0x2ff5421677bcabb7ULL, 0x396f122f85e41d7dULL, + 0xa09b332430bac6a8ULL, 0xc888e8ced7070560ULL, + 0xaeaf201ac682ee8fULL, 0x1180d7268944a257ULL, + 0xf058a43628e7a5fcULL, 0xbd4c4b8fbbce2b07ULL, + 0xa1246df34abe7b49ULL, 0x7d5569b79be9af3cULL, + 0xa9b5a705bd9efa12ULL, 0xdb6b835baa4bc0e8ULL, + 0x05793bac8f147342ULL, 0x21c1512881848390ULL, + 0xfdb0556c50d357e5ULL, 0x613d4fcb6a99ff72ULL, + 0x03dce2648e0cda3eULL, 0xe949b9e6568386f0ULL, + 0xfc0f0bbb2ad7ea04ULL, 0x6a70675913b5a417ULL, + 0x7f36d5046fe1c8e3ULL, 0x0c57af8d02304ff8ULL, + 0x32223abdfcc84618ULL, 0x0891caf6f720815bULL, + 0xa63eeaec31a26fd4ULL, 0x2507345374944d33ULL, + 0x49d28ac266394058ULL, 0xf5219f9aa7f3d6beULL, + 0x2d96fea583b4cc68ULL, 0x5a31e1571b7585d0ULL, + 0x8ed12fe53d02d0feULL, 0xdfade6205f5b0e4bULL, + 0x4cabb16ee92d331aULL, 0x04c6657bf510cea3ULL, + 0xd73c2cd6a87b8f10ULL, 0xe1d87310a1a307abULL, + 0x6cd5be9112ad0d6bULL, 0x97c032354366f3f2ULL, + 0xd4e0ceb22677552eULL, 0x0000000000000000ULL, + 0x29509bde76a402cbULL, 0xc27a9e8bd42fe3e4ULL, + 0x5ef7842cee654b73ULL, 0xaf107ecdbc86536eULL, + 0x3fcacbe784fcb401ULL, 0xd55f90655c73e8cfULL, + 0xe6c2f40fdabf1336ULL, 0xe8f6e7312c873b11ULL, + 0xeb2a0555a28be12fULL, 0xe4a148bc2eb774e9ULL, + 0x9b979db84156bc0aULL, 0x6eb60222e6a56ab4ULL, + 0x87ffbbc4b026ec44ULL, 0xc703a5275b3b90a6ULL, + 0x47e699fc9001687fULL, 0x9c8d1aa73a4aa897ULL, + 0x7cea3760e1ed12ddULL, 0x4ec80ddd1d2554c5ULL, + 0x13e36b957d4cc588ULL, 0x5d2b66486069914dULL, + 0x92b90999cc7280b0ULL, 0x517cc9c56259deb5ULL, + 0xc937b619ad03b881ULL, 0xec30824ad997f5b2ULL, + 0xa45d565fc5aa080bULL, 0xd6837201d27f32f1ULL, + 0x635ef3789e9198adULL, 0x531f75769651b96aULL, + 0x4f77530a6721e924ULL, 0x486dd4151c3dfdb9ULL, + 0x5f48dafb9461f692ULL, 0x375b011173dc355aULL, + 0x3da9775470f4d3deULL, 0x8d0dcd81b30e0ac0ULL, + 0x36e45fc609d888bbULL, 0x55baacbe97491016ULL, + 0x8cb29356c90ab721ULL, 0x76184125e2c5f459ULL, + 0x99f4210bb55edbd5ULL, 0x6f095cf59ca1d755ULL, + 0x9f51f8c3b44672a9ULL, 0x3538bda287d45285ULL, + 0x50c39712185d6354ULL, 0xf23b1885dcefc223ULL, + 0x79930ccc6ef9619fULL, 0xed8fdc9da3934853ULL, + 0xcb540aaa590bdf5eULL, 0x5c94389f1a6d2cacULL, + 0xe77daad8a0bbaed7ULL, 0x28efc5090ca0bf2aULL, + 0xbf2ff73c4fc64cd8ULL, 0xb37858b14df60320ULL, + 0xf8c96ec0dfc724a7ULL, 0x828680683f329f06ULL, + 0x941cd051cd6a29ccULL, 0xc3c5c05cae2b5e05ULL, + 0xb601631dc2e27062ULL, 0xc01922382027843bULL, + 0x24b86a840e90f0d2ULL, 0xd245177a276ffc52ULL, + 0x0f8b4de98c3c95c6ULL, 0x3e759530fef809e0ULL, + 0x0b4d2892792c5b65ULL, 0xc4df4743d5374a98ULL, + 0xa5e20888bfaeb5eaULL, 0xba56cc90c0d23f9aULL, + 0x38d04cf8ffe0a09cULL, 0x62e1adafe495254cULL, + 0x0263bcb3f40867dfULL, 0xcaeb547d230f62bfULL, + 0x6082111c109d4293ULL, 0xdad4dd8cd04f7d09ULL, + 0xefec602e579b2f8cULL, 0x1fb4c4187f7c8a70ULL, + 0xffd3e9dfa4db303aULL, 0x7bf0b07f9af10640ULL, + 0xf49ec14dddf76b5fULL, 0x8f6e713247066d1fULL, + 0x339d646a86ccfbf9ULL, 0x64447467e58d8c30ULL, + 0x2c29a072f9b07189ULL, 0xd8b7613f24471ad6ULL, + 0x6627c8d41185ebefULL, 0xa347d140beb61c96ULL, + 0xde12b8f7255fb3aaULL, 0x9d324470404e1576ULL, + 0x9306574eb6763d51ULL, 0xa80af9d2c79a47f3ULL, + 0x859c0777442e8b9bULL, 0x69ac853d9db97e29ULL }, + /* 6 */ + { 0xc3407dfc2de6377eULL, 0x5b9e93eea4256f77ULL, + 0xadb58fdd50c845e0ULL, 0x5219ff11a75bed86ULL, + 0x356b61cfd90b1de9ULL, 0xfb8f406e25abe037ULL, + 0x7a5a0231c0f60796ULL, 0x9d3cd216e1f5020bULL, + 0x0c6550fb6b48d8f3ULL, 0xf57508c427ff1c62ULL, + 0x4ad35ffa71cb407dULL, 0x6290a2da1666aa6dULL, + 0xe284ec2349355f9fULL, 0xb3c307c53d7c84ecULL, + 0x05e23c0468365a02ULL, 0x190bac4d6c9ebfa8ULL, + 0x94bbbee9e28b80faULL, 0xa34fc777529cb9b5ULL, + 0xcc7b39f095bcd978ULL, 0x2426addb0ce532e3ULL, + 0x7e79329312ce4fc7ULL, 0xab09a72eebec2917ULL, + 0xf8d15499f6b9d6c2ULL, 0x1a55b8babf8c895dULL, + 0xdb8add17fb769a85ULL, 0xb57f2f368658e81bULL, + 0x8acd36f18f3f41f6ULL, 0x5ce3b7bba50f11d3ULL, + 0x114dcc14d5ee2f0aULL, 0xb91a7fcded1030e8ULL, + 0x81d5425fe55de7a1ULL, 0xb6213bc1554adeeeULL, + 0x80144ef95f53f5f2ULL, 0x1e7688186db4c10cULL, + 0x3b912965db5fe1bcULL, 0xc281715a97e8252dULL, + 0x54a5d7e21c7f8171ULL, 0x4b12535ccbc5522eULL, + 0x1d289cefbea6f7f9ULL, 0x6ef5f2217d2e729eULL, + 0xe6a7dc819b0d17ceULL, 0x1b94b41c05829b0eULL, + 0x33d7493c622f711eULL, 0xdcf7f942fa5ce421ULL, + 0x600fba8b7f7a8ecbULL, 0x46b60f011a83988eULL, + 0x235b898e0dcf4c47ULL, 0x957ab24f588592a9ULL, + 0x4354330572b5c28cULL, 0xa5f3ef84e9b8d542ULL, + 0x8c711e02341b2d01ULL, 0x0b1874ae6a62a657ULL, + 0x1213d8e306fc19ffULL, 0xfe6d7c6a4d9dba35ULL, + 0x65ed868f174cd4c9ULL, 0x88522ea0e6236550ULL, + 0x899322065c2d7703ULL, 0xc01e690bfef4018bULL, + 0x915982ed8abddaf8ULL, 0xbe675b98ec3a4e4cULL, + 0xa996bf7f82f00db1ULL, 0xe1daf8d49a27696aULL, + 0x2effd5d3dc8986e7ULL, 0xd153a51f2b1a2e81ULL, + 0x18caa0ebd690adfbULL, 0x390e3134b243c51aULL, + 0x2778b92cdff70416ULL, 0x029f1851691c24a6ULL, + 0x5e7cafeacc133575ULL, 0xfa4e4cc89fa5f264ULL, + 0x5a5f9f481e2b7d24ULL, 0x484c47ab18d764dbULL, + 0x400a27f2a1a7f479ULL, 0xaeeb9b2a83da7315ULL, + 0x721c626879869734ULL, 0x042330a2d2384851ULL, + 0x85f672fd3765aff0ULL, 0xba446b3a3e02061dULL, + 0x73dd6ecec3888567ULL, 0xffac70ccf793a866ULL, + 0xdfa9edb5294ed2d4ULL, 0x6c6aea7014325638ULL, + 0x834a5a0e8c41c307ULL, 0xcdba35562fb2cb2bULL, + 0x0ad97808d06cb404ULL, 0x0f3b440cb85aee06ULL, + 0xe5f9c876481f213bULL, 0x98deee1289c35809ULL, + 0x59018bbfcd394bd1ULL, 0xe01bf47220297b39ULL, + 0xde68e1139340c087ULL, 0x9fa3ca4788e926adULL, + 0xbb85679c840c144eULL, 0x53d8f3b71d55ffd5ULL, + 0x0da45c5dd146caa0ULL, 0x6f34fe87c72060cdULL, + 0x57fbc315cf6db784ULL, 0xcee421a1fca0fddeULL, + 0x3d2d0196607b8d4bULL, 0x642c8a29ad42c69aULL, + 0x14aff010bdd87508ULL, 0xac74837beac657b3ULL, + 0x3216459ad821634dULL, 0x3fb219c70967a9edULL, + 0x06bc28f3bb246cf7ULL, 0xf2082c9126d562c6ULL, + 0x66b39278c45ee23cULL, 0xbd394f6f3f2878b9ULL, + 0xfd33689d9e8f8cc0ULL, 0x37f4799eb017394fULL, + 0x108cc0b26fe03d59ULL, 0xda4bd1b1417888d6ULL, + 0xb09d1332ee6eb219ULL, 0x2f3ed975668794b4ULL, + 0x58c0871977375982ULL, 0x7561463d78ace990ULL, + 0x09876cff037e82f1ULL, 0x7fb83e35a8c05d94ULL, + 0x26b9b58a65f91645ULL, 0xef20b07e9873953fULL, + 0x3148516d0b3355b8ULL, 0x41cb2b541ba9e62aULL, + 0x790416c613e43163ULL, 0xa011d380818e8f40ULL, + 0x3a5025c36151f3efULL, 0xd57095bdf92266d0ULL, + 0x498d4b0da2d97688ULL, 0x8b0c3a57353153a5ULL, + 0x21c491df64d368e1ULL, 0x8f2f0af5e7091bf4ULL, + 0x2da1c1240f9bb012ULL, 0xc43d59a92ccc49daULL, + 0xbfa6573e56345c1fULL, 0x828b56a8364fd154ULL, + 0x9a41f643e0df7cafULL, 0xbcf843c985266aeaULL, + 0x2b1de9d7b4bfdce5ULL, 0x20059d79dedd7ab2ULL, + 0x6dabe6d6ae3c446bULL, 0x45e81bf6c991ae7bULL, + 0x6351ae7cac68b83eULL, 0xa432e32253b6c711ULL, + 0xd092a9b991143cd2ULL, 0xcac711032e98b58fULL, + 0xd8d4c9e02864ac70ULL, 0xc5fc550f96c25b89ULL, + 0xd7ef8dec903e4276ULL, 0x67729ede7e50f06fULL, + 0xeac28c7af045cf3dULL, 0xb15c1f945460a04aULL, + 0x9cfddeb05bfb1058ULL, 0x93c69abce3a1fe5eULL, + 0xeb0380dc4a4bdd6eULL, 0xd20db1e8f8081874ULL, + 0x229a8528b7c15e14ULL, 0x44291750739fbc28ULL, + 0xd3ccbd4e42060a27ULL, 0xf62b1c33f4ed2a97ULL, + 0x86a8660ae4779905ULL, 0xd62e814a2a305025ULL, + 0x477703a7a08d8addULL, 0x7b9b0e977af815c5ULL, + 0x78c51a60a9ea2330ULL, 0xa6adfb733aaae3b7ULL, + 0x97e5aa1e3199b60fULL, 0x0000000000000000ULL, + 0xf4b404629df10e31ULL, 0x5564db44a6719322ULL, + 0x9207961a59afec0dULL, 0x9624a6b88b97a45cULL, + 0x363575380a192b1cULL, 0x2c60cd82b595a241ULL, + 0x7d272664c1dc7932ULL, 0x7142769faa94a1c1ULL, + 0xa1d0df263b809d13ULL, 0x1630e841d4c451aeULL, + 0xc1df65ad44fa13d8ULL, 0x13d2d445bcf20bacULL, + 0xd915c546926abe23ULL, 0x38cf3d92084dd749ULL, + 0xe766d0272103059dULL, 0xc7634d5effde7f2fULL, + 0x077d2455012a7ea4ULL, 0xedbfa82ff16fb199ULL, + 0xaf2a978c39d46146ULL, 0x42953fa3c8bbd0dfULL, + 0xcb061da59496a7dcULL, 0x25e7a17db6eb20b0ULL, + 0x34aa6d6963050fbaULL, 0xa76cf7d580a4f1e4ULL, + 0xf7ea10954ee338c4ULL, 0xfcf2643b24819e93ULL, + 0xcf252d0746aeef8dULL, 0x4ef06f58a3f3082cULL, + 0x563acfb37563a5d7ULL, 0x5086e740ce47c920ULL, + 0x2982f186dda3f843ULL, 0x87696aac5e798b56ULL, + 0x5d22bb1d1f010380ULL, 0x035e14f7d31236f5ULL, + 0x3cec0d30da759f18ULL, 0xf3c920379cdb7095ULL, + 0xb8db736b571e22bbULL, 0xdd36f5e44052f672ULL, + 0xaac8ab8851e23b44ULL, 0xa857b3d938fe1fe2ULL, + 0x17f1e4e76eca43fdULL, 0xec7ea4894b61a3caULL, + 0x9e62c6e132e734feULL, 0xd4b1991b432c7483ULL, + 0x6ad6c283af163acfULL, 0x1ce9904904a8e5aaULL, + 0x5fbda34c761d2726ULL, 0xf910583f4cb7c491ULL, + 0xc6a241f845d06d7cULL, 0x4f3163fe19fd1a7fULL, + 0xe99c988d2357f9c8ULL, 0x8eee06535d0709a7ULL, + 0x0efa48aa0254fc55ULL, 0xb4be23903c56fa48ULL, + 0x763f52caabbedf65ULL, 0xeee1bcd8227d876cULL, + 0xe345e085f33b4dccULL, 0x3e731561b369bbbeULL, + 0x2843fd2067adea10ULL, 0x2adce5710eb1ceb6ULL, + 0xb7e03767ef44ccbdULL, 0x8db012a48e153f52ULL, + 0x61ceb62dc5749c98ULL, 0xe85d942b9959eb9bULL, + 0x4c6f7709caef2c8aULL, 0x84377e5b8d6bbda3ULL, + 0x30895dcbb13d47ebULL, 0x74a04a9bc2a2fbc3ULL, + 0x6b17ce251518289cULL, 0xe438c4d0f2113368ULL, + 0x1fb784bed7bad35fULL, 0x9b80fae55ad16efcULL, + 0x77fe5e6c11b0cd36ULL, 0xc858095247849129ULL, + 0x08466059b97090a2ULL, 0x01c10ca6ba0e1253ULL, + 0x6988d6747c040c3aULL, 0x6849dad2c60a1e69ULL, + 0x5147ebe67449db73ULL, 0xc99905f4fd8a837aULL, + 0x991fe2b433cd4a5aULL, 0xf09734c04fc94660ULL, + 0xa28ecbd1e892abe6ULL, 0xf1563866f5c75433ULL, + 0x4dae7baf70e13ed9ULL, 0x7ce62ac27bd26b61ULL, + 0x70837a39109ab392ULL, 0x90988e4b30b3c8abULL, + 0xb2020b63877296bfULL, 0x156efcb607d6675bULL }, + /* 7 */ + { 0xe63f55ce97c331d0ULL, 0x25b506b0015bba16ULL, + 0xc8706e29e6ad9ba8ULL, 0x5b43d3775d521f6aULL, + 0x0bfa3d577035106eULL, 0xab95fc172afb0e66ULL, + 0xf64b63979e7a3276ULL, 0xf58b4562649dad4bULL, + 0x48f7c3dbae0c83f1ULL, 0xff31916642f5c8c5ULL, + 0xcbb048dc1c4a0495ULL, 0x66b8f83cdf622989ULL, + 0x35c130e908e2b9b0ULL, 0x7c761a61f0b34fa1ULL, + 0x3601161cf205268dULL, 0x9e54ccfe2219b7d6ULL, + 0x8b7d90a538940837ULL, 0x9cd403588ea35d0bULL, + 0xbc3c6fea9ccc5b5aULL, 0xe5ff733b6d24aeedULL, + 0xceed22de0f7eb8d2ULL, 0xec8581cab1ab545eULL, + 0xb96105e88ff8e71dULL, 0x8ca03501871a5eadULL, + 0x76ccce65d6db2a2fULL, 0x5883f582a7b58057ULL, + 0x3f7be4ed2e8adc3eULL, 0x0fe7be06355cd9c9ULL, + 0xee054e6c1d11be83ULL, 0x1074365909b903a6ULL, + 0x5dde9f80b4813c10ULL, 0x4a770c7d02b6692cULL, + 0x5379c8d5d7809039ULL, 0xb4067448161ed409ULL, + 0x5f5e5026183bd6cdULL, 0xe898029bf4c29df9ULL, + 0x7fb63c940a54d09cULL, 0xc5171f897f4ba8bcULL, + 0xa6f28db7b31d3d72ULL, 0x2e4f3be7716eaa78ULL, + 0x0d6771a099e63314ULL, 0x82076254e41bf284ULL, + 0x2f0fd2b42733df98ULL, 0x5c9e76d3e2dc49f0ULL, + 0x7aeb569619606cdbULL, 0x83478b07b2468764ULL, + 0xcfadcb8d5923cd32ULL, 0x85dac7f05b95a41eULL, + 0xb5469d1b4043a1e9ULL, 0xb821ecbbd9a592fdULL, + 0x1b8e0b0e798c13c8ULL, 0x62a57b6d9a0be02eULL, + 0xfcf1b793b81257f8ULL, 0x9d94ea0bd8fe28ebULL, + 0x4cea408aeb654a56ULL, 0x23284a47e888996cULL, + 0x2d8f1d128b893545ULL, 0xf4cbac3132c0d8abULL, + 0xbd7c86b9ca912ebaULL, 0x3a268eef3dbe6079ULL, + 0xf0d62f6077a9110cULL, 0x2735c916ade150cbULL, + 0x89fd5f03942ee2eaULL, 0x1acee25d2fd16628ULL, + 0x90f39bab41181bffULL, 0x430dfe8cde39939fULL, + 0xf70b8ac4c8274796ULL, 0x1c53aeaac6024552ULL, + 0x13b410acf35e9c9bULL, 0xa532ab4249faa24fULL, + 0x2b1251e5625a163fULL, 0xd7e3e676da4841c7ULL, + 0xa7b264e4e5404892ULL, 0xda8497d643ae72d3ULL, + 0x861ae105a1723b23ULL, 0x38a6414991048aa4ULL, + 0x6578dec92585b6b4ULL, 0x0280cfa6acbaeaddULL, + 0x88bdb650c273970aULL, 0x9333bd5ebbff84c2ULL, + 0x4e6a8f2c47dfa08bULL, 0x321c954db76cef2aULL, + 0x418d312a72837942ULL, 0xb29b38bfffcdf773ULL, + 0x6c022c38f90a4c07ULL, 0x5a033a240b0f6a8aULL, + 0x1f93885f3ce5da6fULL, 0xc38a537e96988bc6ULL, + 0x39e6a81ac759ff44ULL, 0x29929e43cee0fce2ULL, + 0x40cdd87924de0ca2ULL, 0xe9d8ebc8a29fe819ULL, + 0x0c2798f3cfbb46f4ULL, 0x55e484223e53b343ULL, + 0x4650948ecd0d2fd8ULL, 0x20e86cb2126f0651ULL, + 0x6d42c56baf5739e7ULL, 0xa06fc1405ace1e08ULL, + 0x7babbfc54f3d193bULL, 0x424d17df8864e67fULL, + 0xd8045870ef14980eULL, 0xc6d7397c85ac3781ULL, + 0x21a885e1443273b1ULL, 0x67f8116f893f5c69ULL, + 0x24f5efe35706cff6ULL, 0xd56329d076f2ab1aULL, + 0x5e1eb9754e66a32dULL, 0x28d2771098bd8902ULL, + 0x8f6013f47dfdc190ULL, 0x17a993fdb637553cULL, + 0xe0a219397e1012aaULL, 0x786b9930b5da8606ULL, + 0x6e82e39e55b0a6daULL, 0x875a0856f72f4ec3ULL, + 0x3741ff4fa458536dULL, 0xac4859b3957558fcULL, + 0x7ef6d5c75c09a57cULL, 0xc04a758b6c7f14fbULL, + 0xf9acdd91ab26ebbfULL, 0x7391a467c5ef9668ULL, + 0x335c7c1ee1319acaULL, 0xa91533b18641e4bbULL, + 0xe4bf9a683b79db0dULL, 0x8e20faa72ba0b470ULL, + 0x51f907737b3a7ae4ULL, 0x2268a314bed5ec8cULL, + 0xd944b123b949edeeULL, 0x31dcb3b84d8b7017ULL, + 0xd3fe65279f218860ULL, 0x097af2f1dc8ffab3ULL, + 0x9b09a6fc312d0b91ULL, 0xcc6ded78a3c4520fULL, + 0x3481d9ba5ebfcc50ULL, 0x4f2a667f1182d56bULL, + 0xdfd9fdd4509ace94ULL, 0x26752045fbbc252bULL, + 0xbffc491f662bc467ULL, 0xdd593272fc202449ULL, + 0x3cbbc218d46d4303ULL, 0x91b372f817456e1fULL, + 0x681faf69bc6385a0ULL, 0xb686bbeebaa43ed4ULL, + 0x1469b5084cd0ca01ULL, 0x98c98009cbca94acULL, + 0x6438379a73d8c354ULL, 0xc2caba2dc0c5fe26ULL, + 0x3e3b0dbe78d7a9deULL, 0x50b9ee202d670f04ULL, + 0x4590b27b37eab0e5ULL, 0x6025b4cb36b10af3ULL, + 0xfb2c1237079c0162ULL, 0xa12f28130c936be8ULL, + 0x4b37e52e54eb1cccULL, 0x083a1ba28ad28f53ULL, + 0xc10a9cd83a22611bULL, 0x9f1425ad7444c236ULL, + 0x069d4cf7e9d3237aULL, 0xedc56899e7f621beULL, + 0x778c273680865fcfULL, 0x309c5aeb1bd605f7ULL, + 0x8de0dc52d1472b4dULL, 0xf8ec34c2fd7b9e5fULL, + 0xea18cd3d58787724ULL, 0xaad515447ca67b86ULL, + 0x9989695a9d97e14cULL, 0x0000000000000000ULL, + 0xf196c63321f464ecULL, 0x71116bc169557cb5ULL, + 0xaf887f466f92c7c1ULL, 0x972e3e0ffe964d65ULL, + 0x190ec4a8d536f915ULL, 0x95aef1a9522ca7b8ULL, + 0xdc19db21aa7d51a9ULL, 0x94ee18fa0471d258ULL, + 0x8087adf248a11859ULL, 0xc457f6da2916dd5cULL, + 0xfa6cfb6451c17482ULL, 0xf256e0c6db13fbd1ULL, + 0x6a9f60cf10d96f7dULL, 0x4daaa9d9bd383fb6ULL, + 0x03c026f5fae79f3dULL, 0xde99148706c7bb74ULL, + 0x2a52b8b6340763dfULL, 0x6fc20acd03edd33aULL, + 0xd423c08320afdefaULL, 0xbbe1ca4e23420dc0ULL, + 0x966ed75ca8cb3885ULL, 0xeb58246e0e2502c4ULL, + 0x055d6a021334bc47ULL, 0xa47242111fa7d7afULL, + 0xe3623fcc84f78d97ULL, 0x81c744a11efc6db9ULL, + 0xaec8961539cfb221ULL, 0xf31609958d4e8e31ULL, + 0x63e5923ecc5695ceULL, 0x47107ddd9b505a38ULL, + 0xa3afe7b5a0298135ULL, 0x792b7063e387f3e6ULL, + 0x0140e953565d75e0ULL, 0x12f4f9ffa503e97bULL, + 0x750ce8902c3cb512ULL, 0xdbc47e8515f30733ULL, + 0x1ed3610c6ab8af8fULL, 0x5239218681dde5d9ULL, + 0xe222d69fd2aaf877ULL, 0xfe71783514a8bd25ULL, + 0xcaf0a18f4a177175ULL, 0x61655d9860ec7f13ULL, + 0xe77fbc9dc19e4430ULL, 0x2ccff441ddd440a5ULL, + 0x16e97aaee06a20dcULL, 0xa855dae2d01c915bULL, + 0x1d1347f9905f30b2ULL, 0xb7c652bdecf94b34ULL, + 0xd03e43d265c6175dULL, 0xfdb15ec0ee4f2218ULL, + 0x57644b8492e9599eULL, 0x07dda5a4bf8e569aULL, + 0x54a46d71680ec6a3ULL, 0x5624a2d7c4b42c7eULL, + 0xbebca04c3076b187ULL, 0x7d36f332a6ee3a41ULL, + 0x3b6667bc6be31599ULL, 0x695f463aea3ef040ULL, + 0xad08b0e0c3282d1cULL, 0xb15b1e4a052a684eULL, + 0x44d05b2861b7c505ULL, 0x15295c5b1a8dbfe1ULL, + 0x744c01c37a61c0f2ULL, 0x59c31cd1f1e8f5b7ULL, + 0xef45a73f4b4ccb63ULL, 0x6bdf899c46841a9dULL, + 0x3dfb2b4b823036e3ULL, 0xa2ef0ee6f674f4d5ULL, + 0x184e2dfb836b8cf5ULL, 0x1134df0a5fe47646ULL, + 0xbaa1231d751f7820ULL, 0xd17eaa81339b62bdULL, + 0xb01bf71953771daeULL, 0x849a2ea30dc8d1feULL, + 0x705182923f080955ULL, 0x0ea757556301ac29ULL, + 0x041d83514569c9a7ULL, 0x0abad4042668658eULL, + 0x49b72a88f851f611ULL, 0x8a3d79f66ec97dd7ULL, + 0xcd2d042bf59927efULL, 0xc930877ab0f0ee48ULL, + 0x9273540deda2f122ULL, 0xc797d02fd3f14261ULL, + 0xe1e2f06a284d674aULL, 0xd2be8c74c97cfd80ULL, + 0x9a494faf67707e71ULL, 0xb3dbd1eca9908293ULL, + 0x72d14d3493b2e388ULL, 0xd6a30f258c153427ULL }, +}; + +static const uint64_t C16[12][8] = +{ + { 0xdd806559f2a64507ULL, 0x05767436cc744d23ULL, + 0xa2422a08a460d315ULL, 0x4b7ce09192676901ULL, + 0x714eb88d7585c4fcULL, 0x2f6a76432e45d016ULL, + 0xebcb2f81c0657c1fULL, 0xb1085bda1ecadae9ULL }, + { 0xe679047021b19bb7ULL, 0x55dda21bd7cbcd56ULL, + 0x5cb561c2db0aa7caULL, 0x9ab5176b12d69958ULL, + 0x61d55e0f16b50131ULL, 0xf3feea720a232b98ULL, + 0x4fe39d460f70b5d7ULL, 0x6fa3b58aa99d2f1aULL }, + { 0x991e96f50aba0ab2ULL, 0xc2b6f443867adb31ULL, + 0xc1c93a376062db09ULL, 0xd3e20fe490359eb1ULL, + 0xf2ea7514b1297b7bULL, 0x06f15e5f529c1f8bULL, + 0x0a39fc286a3d8435ULL, 0xf574dcac2bce2fc7ULL }, + { 0x220cbebc84e3d12eULL, 0x3453eaa193e837f1ULL, + 0xd8b71333935203beULL, 0xa9d72c82ed03d675ULL, + 0x9d721cad685e353fULL, 0x488e857e335c3c7dULL, + 0xf948e1a05d71e4ddULL, 0xef1fdfb3e81566d2ULL }, + { 0x601758fd7c6cfe57ULL, 0x7a56a27ea9ea63f5ULL, + 0xdfff00b723271a16ULL, 0xbfcd1747253af5a3ULL, + 0x359e35d7800fffbdULL, 0x7f151c1f1686104aULL, + 0x9a3f410c6ca92363ULL, 0x4bea6bacad474799ULL }, + { 0xfa68407a46647d6eULL, 0xbf71c57236904f35ULL, + 0x0af21f66c2bec6b6ULL, 0xcffaa6b71c9ab7b4ULL, + 0x187f9ab49af08ec6ULL, 0x2d66c4f95142a46cULL, + 0x6fa4c33b7a3039c0ULL, 0xae4faeae1d3ad3d9ULL }, + { 0x8886564d3a14d493ULL, 0x3517454ca23c4af3ULL, + 0x06476983284a0504ULL, 0x0992abc52d822c37ULL, + 0xd3473e33197a93c9ULL, 0x399ec6c7e6bf87c9ULL, + 0x51ac86febf240954ULL, 0xf4c70e16eeaac5ecULL }, + { 0xa47f0dd4bf02e71eULL, 0x36acc2355951a8d9ULL, + 0x69d18d2bd1a5c42fULL, 0xf4892bcb929b0690ULL, + 0x89b4443b4ddbc49aULL, 0x4eb7f8719c36de1eULL, + 0x03e7aa020c6e4141ULL, 0x9b1f5b424d93c9a7ULL }, + { 0x7261445183235adbULL, 0x0e38dc92cb1f2a60ULL, + 0x7b2b8a9aa6079c54ULL, 0x800a440bdbb2ceb1ULL, + 0x3cd955b7e00d0984ULL, 0x3a7d3a1b25894224ULL, + 0x944c9ad8ec165fdeULL, 0x378f5a541631229bULL }, + { 0x74b4c7fb98459cedULL, 0x3698fad1153bb6c3ULL, + 0x7a1e6c303b7652f4ULL, 0x9fe76702af69334bULL, + 0x1fffe18a1b336103ULL, 0x8941e71cff8a78dbULL, + 0x382ae548b2e4f3f3ULL, 0xabbedea680056f52ULL }, + { 0x6bcaa4cd81f32d1bULL, 0xdea2594ac06fd85dULL, + 0xefbacd1d7d476e98ULL, 0x8a1d71efea48b9caULL, + 0x2001802114846679ULL, 0xd8fa6bbbebab0761ULL, + 0x3002c6cd635afe94ULL, 0x7bcd9ed0efc889fbULL }, + { 0x48bc924af11bd720ULL, 0xfaf417d5d9b21b99ULL, + 0xe71da4aa88e12852ULL, 0x5d80ef9d1891cc86ULL, + 0xf82012d430219f9bULL, 0xcda43c32bcdf1d77ULL, + 0xd21380b00449b17aULL, 0x378ee767f11631baULL }, +}; + +#define strido(out, temp, i) do { \ + uint64_t t; \ + t = streebog_table[0][(temp[0] >> (i * 8)) & 0xff]; \ + t ^= streebog_table[1][(temp[1] >> (i * 8)) & 0xff]; \ + t ^= streebog_table[2][(temp[2] >> (i * 8)) & 0xff]; \ + t ^= streebog_table[3][(temp[3] >> (i * 8)) & 0xff]; \ + t ^= streebog_table[4][(temp[4] >> (i * 8)) & 0xff]; \ + t ^= streebog_table[5][(temp[5] >> (i * 8)) & 0xff]; \ + t ^= streebog_table[6][(temp[6] >> (i * 8)) & 0xff]; \ + t ^= streebog_table[7][(temp[7] >> (i * 8)) & 0xff]; \ + out[i] = t; } while(0) + +static void LPSX (uint64_t *out, const uint64_t *a, const uint64_t *b) +{ + uint64_t temp[8]; + temp[0] = a[0] ^ b[0]; + temp[1] = a[1] ^ b[1]; + temp[2] = a[2] ^ b[2]; + temp[3] = a[3] ^ b[3]; + temp[4] = a[4] ^ b[4]; + temp[5] = a[5] ^ b[5]; + temp[6] = a[6] ^ b[6]; + temp[7] = a[7] ^ b[7]; + strido (out, temp, 0); + strido (out, temp, 1); + strido (out, temp, 2); + strido (out, temp, 3); + strido (out, temp, 4); + strido (out, temp, 5); + strido (out, temp, 6); + strido (out, temp, 7); +} + +static inline void g (uint64_t *h, uint64_t *m, uint64_t *N) +{ + uint64_t K[8]; + uint64_t T[8]; + int i; + + LPSX (K, h, N); + + LPSX (T, K, m); + LPSX (K, K, C16[0]); + for (i = 1; i < 12; i++) + { + LPSX (T, K, T); + LPSX (K, K, C16[i]); + } + + h[0] ^= T[0] ^ K[0] ^ m[0]; + h[1] ^= T[1] ^ K[1] ^ m[1]; + h[2] ^= T[2] ^ K[2] ^ m[2]; + h[3] ^= T[3] ^ K[3] ^ m[3]; + h[4] ^= T[4] ^ K[4] ^ m[4]; + h[5] ^= T[5] ^ K[5] ^ m[5]; + h[6] ^= T[6] ^ K[6] ^ m[6]; + h[7] ^= T[7] ^ K[7] ^ m[7]; +} + + +static void +streebog512_compress (struct streebog512_ctx *ctx, const uint8_t *input, size_t count) +{ + uint64_t M[8]; + uint64_t l, cf; + int i; + + for (i = 0; i < 8; i++, input += 8) + M[i] = LE_READ_UINT64(input); + + g (ctx->state, M, ctx->count); + l = ctx->count[0]; + ctx->count[0] += count; + if (ctx->count[0] < l) + { /* overflow */ + for (i = 1; i < 8; i++) + { + ctx->count[i]++; + if (ctx->count[i] != 0) + break; + } + } + + cf = 0; + ctx->sigma[0] += M[0]; + for (i = 1; i < 8; i++) + { + if (ctx->sigma[i-1] != M[i-1]) + cf = (ctx->sigma[i-1] < M[i-1]); + ctx->sigma[i] += M[i] + cf; + } +} + +static void +streebog_final (struct streebog512_ctx *ctx) +{ + uint64_t Z[8] = {}; + unsigned int i; + + /* PAD. It does not count towards message length */ + i = ctx->index; + /* We have at least one byte free) */ + ctx->block[i++] = 1; + while (i < 64) + ctx->block[i++] = 0; + streebog512_compress (ctx, ctx->block, ctx->index * 8); + + g (ctx->state, ctx->count, Z); + g (ctx->state, ctx->sigma, Z); +} + +#define COMPRESS(ctx, data) (streebog512_compress((ctx), (data), 64 * 8)) + +void +streebog512_init(struct streebog512_ctx *ctx) +{ + memset(ctx->state, 0, sizeof(ctx->state)); + memset(ctx->count, 0, sizeof(ctx->count)); + memset(ctx->sigma, 0, sizeof(ctx->sigma)); + + /* Initialize buffer */ + ctx->index = 0; +} + +void +streebog512_update(struct streebog512_ctx *ctx, + size_t length, const uint8_t *data) +{ + MD_UPDATE (ctx, length, data, COMPRESS, (void)0); +} + +static void +streebog512_write_digest(struct streebog512_ctx *ctx, + size_t offset, size_t length, + uint8_t *digest) +{ + unsigned i; + unsigned words; + unsigned leftover; + + assert(offset + length <= STREEBOG512_DIGEST_SIZE); + + streebog_final(ctx); + + words = length / 8; + leftover = length % 8; + + for (i = 0; i < words; i++, digest += 8) + LE_WRITE_UINT64(digest, ctx->state[offset + i]); + + if (leftover) + { + /* Truncate to the right size */ + uint64_t word = ctx->state[offset + i] << (8*(8 - leftover)); + + do { + digest[--leftover] = (word >> 56) & 0xff; + word <<= 8; + } while (leftover); + } +} + +void +streebog512_digest(struct streebog512_ctx *ctx, + size_t length, + uint8_t *digest) +{ + assert(length <= STREEBOG512_DIGEST_SIZE); + + streebog512_write_digest(ctx, 0, length, digest); + streebog512_init(ctx); +} + +void +streebog256_init(struct streebog256_ctx *ctx) +{ + memset(ctx->state, 1, sizeof(ctx->state)); + memset(ctx->count, 0, sizeof(ctx->count)); + memset(ctx->sigma, 0, sizeof(ctx->sigma)); + + /* Initialize buffer */ + ctx->index = 0; +} + +void +streebog256_digest(struct streebog256_ctx *ctx, + size_t length, + uint8_t *digest) +{ + assert(length <= STREEBOG256_DIGEST_SIZE); + + streebog512_write_digest(ctx, + 4, + length, + digest); + streebog256_init(ctx); +} diff --git a/streebog.h b/streebog.h new file mode 100644 index 000000000000..3408224e0240 --- /dev/null +++ b/streebog.h @@ -0,0 +1,99 @@ +/* streebog.h + + The Streebog family of hash functions. + + Copyright (C) 2015 Dmitry Eremin-Solenikov + + This file is part of GNU Nettle. + + GNU Nettle is free software: you can redistribute it and/or + modify it under the terms of either: + + * the GNU Lesser General Public License as published by the Free + Software Foundation; either version 3 of the License, or (at your + option) any later version. + + or + + * the GNU General Public License as published by the Free + Software Foundation; either version 2 of the License, or (at your + option) any later version. + + or both in parallel, as here. + + GNU Nettle is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + General Public License for more details. + + You should have received copies of the GNU General Public License and + the GNU Lesser General Public License along with this program. If + not, see http://www.gnu.org/licenses/. +*/ + +#ifndef NETTLE_STREEBOG_H_INCLUDED +#define NETTLE_STREEBOG_H_INCLUDED + +#include "nettle-types.h" + +#ifdef __cplusplus +extern "C" { +#endif + +/* Name mangling */ +#define streebog256_init nettle_streebog256_init +#define streebog256_digest nettle_streebog256_digest +#define streebog512_init nettle_streebog512_init +#define streebog512_update nettle_streebog512_update +#define streebog512_digest nettle_streebog512_digest + +/* STREEBOG512 */ + +#define STREEBOG512_DIGEST_SIZE 64 +#define STREEBOG512_BLOCK_SIZE 64 + +/* Digest is kept internally as 8 64-bit words. */ +#define _STREEBOG512_DIGEST_LENGTH 8 + +struct streebog512_ctx +{ + uint64_t state[_STREEBOG512_DIGEST_LENGTH]; /* State variables */ + uint64_t count[_STREEBOG512_DIGEST_LENGTH]; + uint64_t sigma[_STREEBOG512_DIGEST_LENGTH]; + unsigned int index; /* index into buffer */ + uint8_t block[STREEBOG512_BLOCK_SIZE]; /* STREEBOG512 data buffer */ +}; + +void +streebog512_init(struct streebog512_ctx *ctx); + +void +streebog512_update(struct streebog512_ctx *ctx, + size_t length, + const uint8_t *data); + +void +streebog512_digest(struct streebog512_ctx *ctx, + size_t length, + uint8_t *digest); + + +#define STREEBOG256_DIGEST_SIZE 32 +#define STREEBOG256_BLOCK_SIZE STREEBOG512_BLOCK_SIZE +#define streebog256_ctx streebog512_ctx + +void +streebog256_init(struct streebog256_ctx *ctx); + +#define streebog256_update nettle_streebog512_update + +void +streebog256_digest(struct streebog256_ctx *ctx, + size_t length, + uint8_t *digest); + +#ifdef __cplusplus +} +#endif + +#endif /* NETTLE_STREEBOG_H_INCLUDED */ diff --git a/testsuite/.gitignore b/testsuite/.gitignore index 066bcee2fb23..b4b41af308ea 100644 --- a/testsuite/.gitignore +++ b/testsuite/.gitignore @@ -90,6 +90,7 @@ /sha512-224-test /sha512-256-test /sha512-test +/streebog-test /twofish-test /umac-test /version-test diff --git a/testsuite/.test-rules.make b/testsuite/.test-rules.make index efb7df3cbf7a..2c567f64e7be 100644 --- a/testsuite/.test-rules.make +++ b/testsuite/.test-rules.make @@ -100,6 +100,9 @@ sha3-384-test$(EXEEXT): sha3-384-test.$(OBJEXT) sha3-512-test$(EXEEXT): sha3-512-test.$(OBJEXT) $(LINK) sha3-512-test.$(OBJEXT) $(TEST_OBJS) -o sha3-512-test$(EXEEXT) +streebog-test$(EXEEXT): streebog-test.$(OBJEXT) + $(LINK) streebog-test.$(OBJEXT) $(TEST_OBJS) -o streebog-test$(EXEEXT) + serpent-test$(EXEEXT): serpent-test.$(OBJEXT) $(LINK) serpent-test.$(OBJEXT) $(TEST_OBJS) -o serpent-test$(EXEEXT) diff --git a/testsuite/Makefile.in b/testsuite/Makefile.in index f8f85701ef35..3a073d673ce6 100644 --- a/testsuite/Makefile.in +++ b/testsuite/Makefile.in @@ -24,6 +24,7 @@ TS_NETTLE_SOURCES = aes-test.c arcfour-test.c arctwo-test.c \ sha384-test.c sha512-test.c sha512-224-test.c sha512-256-test.c \ sha3-permute-test.c sha3-224-test.c sha3-256-test.c \ sha3-384-test.c sha3-512-test.c \ + streebog-test.c \ serpent-test.c twofish-test.c version-test.c \ knuth-lfib-test.c \ cbc-test.c cfb-test.c ctr-test.c gcm-test.c eax-test.c ccm-test.c \ diff --git a/testsuite/hmac-test.c b/testsuite/hmac-test.c index f009c8003d34..618de75d431b 100644 --- a/testsuite/hmac-test.c +++ b/testsuite/hmac-test.c @@ -908,4 +908,21 @@ test_main(void) SHEX("0126bdb87800af214341456563780100"), SHEX("bad70b61c41095bc47e1141cfaed4272" "6a5ceebd62ce75dbbb9ad76cda9f72f7")); + + /* RFC 7836 */ + HMAC_TEST(streebog512, + SHEX("000102030405060708090a0b0c0d0e0f" + "101112131415161718191a1b1c1d1e1f"), + SHEX("0126bdb87800af214341456563780100"), + SHEX("a59bab22ecae19c65fbde6e5f4e9f5d8" + "549d31f037f9df9b905500e171923a77" + "3d5f1530f2ed7e964cb2eedc29e9ad2f" + "3afe93b2814f79f5000ffc0366c251e6")); + + HMAC_TEST(streebog256, + SHEX("000102030405060708090a0b0c0d0e0f" + "101112131415161718191a1b1c1d1e1f"), + SHEX("0126bdb87800af214341456563780100"), + SHEX("a1aa5f7de402d7b3d323f2991c8d4534" + "013137010a83754fd0af6d7cd4922ed9")); } diff --git a/testsuite/meta-hash-test.c b/testsuite/meta-hash-test.c index 7d863a7c386d..eb9f3698e353 100644 --- a/testsuite/meta-hash-test.c +++ b/testsuite/meta-hash-test.c @@ -20,6 +20,8 @@ const char* hashes[] = { "sha3_256", "sha3_384", "sha3_512", + "streebog256", + "streebog512" }; void diff --git a/testsuite/pbkdf2-test.c b/testsuite/pbkdf2-test.c index e64a20d09dea..9e024e57b7f5 100644 --- a/testsuite/pbkdf2-test.c +++ b/testsuite/pbkdf2-test.c @@ -19,7 +19,8 @@ ASSERT(dk[expect->length] == 17); \ } while (0) -#define MAX_DKLEN SHA512_DIGEST_SIZE +/* Streebog test has particularly long testcase */ +#define MAX_DKLEN 100 void test_main (void) @@ -29,6 +30,8 @@ test_main (void) struct hmac_sha256_ctx sha256ctx; struct hmac_sha512_ctx sha512ctx; struct hmac_gosthash94cp_ctx gosthash94cpctx; + struct hmac_streebog512_ctx streebog512ctx; + struct hmac_streebog256_ctx streebog256ctx; /* Test vectors for PBKDF2 from RFC 6070. */ @@ -134,4 +137,29 @@ test_main (void) PBKDF2_HMAC_TEST (pbkdf2_hmac_gosthash94cp, LDATA("password"), 1, LDATA("salt"), SHEX("7314e7c04fb2e662c543674253f68bd0b73445d07f241bed872882da21662d58")); + + hmac_streebog512_set_key (&streebog512ctx, LDATA("password")); + PBKDF2_TEST (&streebog512ctx, hmac_streebog512_update, hmac_streebog512_digest, + STREEBOG512_DIGEST_SIZE, 1, LDATA("salt"), + SHEX("64770af7f748c3b1c9ac831dbcfd85c26111b30a8a657ddc3056b80ca73e040d2854fd36811f6d825cc4ab66ec0a68a490a9e5cf5156b3a2b7eecddbf9a16b47")); + PBKDF2_TEST (&streebog512ctx, hmac_streebog512_update, hmac_streebog512_digest, + STREEBOG512_DIGEST_SIZE, 4096, LDATA("salt"), + SHEX("e52deb9a2d2aaff4e2ac9d47a41f34c20376591c67807f0477e32549dc341bc7867c09841b6d58e29d0347c996301d55df0d34e47cf68f4e3c2cdaf1d9ab86c3")); + + hmac_streebog512_set_key (&streebog512ctx, LDATA("passwordPASSWORDpassword")); + PBKDF2_TEST (&streebog512ctx, hmac_streebog512_update, hmac_streebog512_digest, + STREEBOG512_DIGEST_SIZE, 4096, LDATA("saltSALTsaltSALTsaltSALTsaltSALTsalt"), + SHEX("b2d8f1245fc4d29274802057e4b54e0a0753aa22fc53760b301cf008679e58fe4bee9addcae99ba2b0b20f431a9c5e50f395" + "c89387d0945aedeca6eb4015dfc2bd2421ee9bb71183ba882ceebfef259f33f9e27dc6178cb89dc37428cf9cc52a2baa2d3a")); + + hmac_streebog512_set_key (&streebog512ctx, LDATA("pass\0word")); + PBKDF2_TEST (&streebog512ctx, hmac_streebog512_update, hmac_streebog512_digest, + STREEBOG512_DIGEST_SIZE, 4096, LDATA("sa\0lt"), + SHEX("50df062885b69801a3c10248eb0a27ab6e522ffeb20c991c660f001475d73a4e167f782c18e97e92976d9c1d970831ea78ccb879f67068cdac1910740844e830")); + + /* Generated */ + hmac_streebog256_set_key (&streebog256ctx, LDATA("password")); + PBKDF2_TEST (&streebog256ctx, hmac_streebog256_update, hmac_streebog256_digest, + STREEBOG256_DIGEST_SIZE, 1, LDATA("salt"), + SHEX("d789458d143b9abebc4ef63ca8e576c72b13c7d4289db23fc1e946f84cd605bc")); } diff --git a/testsuite/streebog-test.c b/testsuite/streebog-test.c new file mode 100644 index 000000000000..f3532e73a7ee --- /dev/null +++ b/testsuite/streebog-test.c @@ -0,0 +1,81 @@ +#include "testutils.h" +#include "streebog.h" + +/* Using test vectors from the standard itself */ + +void +test_main(void) +{ + test_hash(&nettle_streebog512, + SDATA("012345678901234567890123456789012345678901234567890123456789012"), + SHEX("1b54d01a4af5b9d5 cc3d86d68d285462" + "b19abc2475222f35 c085122be4ba1ffa" + "00ad30f8767b3a82 384c6574f024c311" + "e2a481332b08ef7f 41797891c1646f48")); + + test_hash(&nettle_streebog256, + SDATA("012345678901234567890123456789012345678901234567890123456789012"), + SHEX("9d151eefd8590b89 daa6ba6cb74af927" + "5dd051026bb149a4 52fd84e5e57b5500")); + + test_hash(&nettle_streebog512, + SHEX("d1e520e2e5f2f0e82c20d1f2f0e8e1ee" + "e6e820e2edf3f6e82c20e2e5fef2fa20" + "f120eceef0ff20f1f2f0e5ebe0ece820" + "ede020f5f0e0e1f0fbff20efebfaeafb" + "20c8e3eef0e5e2fb"), + SHEX("1e88e62226bfca6f 9994f1f2d51569e0" + "daf8475a3b0fe61a 5300eee46d961376" + "035fe83549ada2b8 620fcd7c496ce5b3" + "3f0cb9dddc2b6460 143b03dabac9fb28")); + + test_hash(&nettle_streebog256, + SHEX("d1e520e2e5f2f0e82c20d1f2f0e8e1ee" + "e6e820e2edf3f6e82c20e2e5fef2fa20" + "f120eceef0ff20f1f2f0e5ebe0ece820" + "ede020f5f0e0e1f0fbff20efebfaeafb" + "20c8e3eef0e5e2fb"), + SHEX("9dd2fe4e90409e5d a87f53976d7405b0" + "c0cac628fc669a74 1d50063c557e8f50")); + + test_hash(&nettle_streebog512, + SHEX("eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee" + "eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee" + "eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee" + "eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee" + "16111111111111111111111111111111" + "11111111111111111111111111111111" + "11111111111111111111111111111111" + "11111111111111111111111111111116"), + SHEX("8b06f41e59907d9636e892caf5942fcd" + "fb71fa31169a5e70f0edb873664df41c" + "2cce6e06dc6755d15a61cdeb92bd607c" + "c4aaca6732bf3568a23a210dd520fd41")); + + test_hash(&nettle_streebog256, + SHEX("eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee" + "eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee" + "eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee" + "eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee" + "16111111111111111111111111111111" + "11111111111111111111111111111111" + "11111111111111111111111111111111" + "11111111111111111111111111111116"), + SHEX("81bb632fa31fcc38b4c379a662dbc58b" + "9bed83f50d3a1b2ce7271ab02d25babb")); + + test_hash(&nettle_streebog512, + SHEX("ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff"), + SHEX("90a161d12ad309498d3fe5d48202d8a4" + "e9c406d6a264aeab258ac5ecc37a7962" + "aaf9587a5abb09b6bb81ec4b3752a3ff" + "5a838ef175be5772056bc5fe54fcfc7e")); + +} -- 2.23.0

2 2

Rust bindings
by Justus Winter 05 Oct '19

05 Oct '19

Hello :) I just wanted to say hi, and announce the availability of bindings for the Rust programming language. As it is idiomatic for bindings to foreign code, there are two packages. First, there is the almost completely autogenerated crate (crate is Rust-lingo for library) 'nettle-sys', which merely exposes the C API without any language-specific wrapping. https://crates.io/crates/nettle-sys Second, there is the 'nettle' crate, which adds an idiomatic and safe interface on top of the former crate. https://crates.io/crates/nettle For some context, we are working on a new OpenPGP implementation in Rust, called Sequoia-PGP. https://sequoia-pgp.org/ When we started the project, we evaluated cryptographic libraries, and decided that Nettle would be the best fit for us, even if it involved creating language bindings first. Looking back after one and a half years, we're still happy with our choice. So let me express our gratitude for everyone who is or has been working on Nettle! Cheers, Justus

3 8

[PATCH] cfb8: don't truncate output IV if input is shorter than block size
by Daiki Ueno 01 Oct '19

01 Oct '19

Hello, We realized that cfb8_decrypt doesn't update the IV correctly when the input is shorter than AES block size. The attached patches should fix it. Samba is also affected by this and there are similar fixes: https://git.samba.org/?p=gd/nettle;a=commit;h=c9926d319a44858d9bde5c28e37f3… https://git.samba.org/?p=gd/nettle;a=commit;h=a2aa783012ab874eebe79d6150027… Regards, -- Daiki Ueno

2 3

ANNOUNCE: Nettle-3.5
by nisse＠lysator.liu.se 24 Sep '19

24 Sep '19

I'm happy to announce a new release of GNU Nettle, a low-level cryptographics library. This release includes a couple of new features and improved performance. The Nettle home page can be found at https://www.lysator.liu.se/~nisse/nettle/, and the manual at https://www.lysator.liu.se/~nisse/nettle/nettle.html. The release can be downloaded from https://ftp.gnu.org/gnu/nettle/nettle-3.5.tar.gz ftp://ftp.gnu.org/gnu/nettle/nettle-3.5.tar.gz https://www.lysator.liu.se/~nisse/archive/nettle-3.5.tar.gz Regards, /Niels NEWS for the Nettle 3.5 release This release adds a couple of new features and optimizations, and deletes or deprecates a few obsolete features. It is *not* binary (ABI) compatible with earlier versions. Except for deprecations listed below, it is intended to be fully source-level (API) compatible with Nettle-3.4.1. The shared library names are libnettle.so.7.0 and libhogweed.so.5.0, with sonames libnettle.so.7 and libhogweed.so.5. Changes in behavior: * Nettle's gcm_crypt will now call the underlying block cipher to process more than one block at a time. This is not a change to the documented behavior, but unfortunately breaks assumptions accidentally made in GnuTLS, up to and including version 3.6.1. New features: * Support for CFB8 (Cipher Feedback Mode, processing a single octet per block cipher operation), contributed by Dmitry Eremin-Solenikov. * Support for CMAC (RFC 4493), contributed by Nikos Mavrogiannopoulos. * Support for XTS mode, contributed by Simo Sorce. Optimizations: * Improved performance of the x86_64 AES implementation using the aesni instructions. Gives a large speedup for operations processing multiple blocks at a time (including CTR mode, GCM mode, and CBC decrypt, but *not* CBC encrypt). * Improved performance for CTR mode, for the common case of 16-byte block size. Pass more data at a time to underlying block cipher, and fill the counter blocks more efficiently. Extension to also handle GCM mode efficiently contributed by Nikos Mavrogiannopoulos. * New x86_64 implementation of sha1 and sha256, for processors supporting the sha_ni instructions. Speedup of 3-5 times on affected processors. * Improved parameters for the precomputation of tables used for ecc signatures. Roughly 10%-15% speedup of the ecdsa sign operation using the secp_256r1, secp_384r1 and secp_521r1 curves, and 25% speedup of ed25519 sign operation, benchmarked on x86_64. Table sizes unchanged, around 16 KB per curve. * In ARM fat builds, automatically select Neon implementation of Chacha, where possible. Contributed by Yuriy M. Kaminskiy. Deleted features: * The header file des-compat.h and everything declared therein has been deleted, as announced earlier. This file provided a subset of the old libdes/ssleay/openssl interface for DES and triple-DES. DES is still supported, via the functions declared in des.h. * Functions using the old struct aes_ctx have been marked as deprecated. Use the fixed key size interface instead, e.g., struct aes256_ctx, introduced in Nettle-3.0. * The header file nettle-stdint.h, and corresponding autoconf tests, have been deleted. Nettle now requires that the compiler/libc provides <stdint.h>. Miscellaneous: * Support for big-endian ARM systems, contributed by Michael Weiser. * The programs aesdata, desdata, twofishdata, shadata and gcmdata are no longer built by default. Makefile improvements contributed by Jay Foad. * The "example" program examples/eratosthenes.c has been deleted. * The contents of hash context structs, and the deprecated aes_ctx struct, have been reorganized, to enable later optimizations. -- Niels Möller. PGP-encrypted email is preferred. Keyid 368C6677. Internet email is subject to wholesale government surveillance.

5 9

[PATCH 0/5] GOST 28147-89 support
by dbaryshkov＠gmail.com 16 Sep '19

16 Sep '19

GOST 28147-89 is the data encryption standard for Russia (old, but still used). English translation is provided in RFC 5830. It defines a 64-bit cipher, ECB, CFB and counter (CNT) modes on top of it and a special mode of basic transformation that is used for MAC construction called "Imitovstavka" (IMIT). For GOST 28147-89 several S-boxes are defined (standard itself has defined "test" S-box, another "test" S-box is defined in GOST R 34.11-94 (RFC 5831), RFC 4357 defines several CryptoPro S-Boxes and finally TC26 has defined TC26-Z S-Box (RFC 7836)). Before finalizing documentation I'd like to hear your opinion on the GOST 28147-89 cipher and MAC interface. -- With best wishes Dmitry

1 5

[PATCH v2 1/6] Start separating GOST 28147-89 from GOST R 34.11-94
by Dmitry Eremin-Solenikov 15 Sep '19

15 Sep '19

Hash function GOST R 34.11-94 (gosthash94) in its compression function uses Russian block cipher (GOST 28147-89, Magma). Start separating block cipher code from hash function code. For now there is no public interface for this cipher, it will be added later. Signed-off-by: Dmitry Eremin-Solenikov <dbaryshkov(a)gmail.com> --- Makefile.in | 7 +- gost28147-internal.h | 42 ++++++ gost28147.c | 350 +++++++++++++++++++++++++++++++++++++++++++ gost28147.h | 56 +++++++ gosthash94.c | 246 +----------------------------- 5 files changed, 458 insertions(+), 243 deletions(-) create mode 100644 gost28147-internal.h create mode 100644 gost28147.c create mode 100644 gost28147.h diff --git a/Makefile.in b/Makefile.in index b54e64b053c3..f583981c4367 100644 --- a/Makefile.in +++ b/Makefile.in @@ -103,7 +103,7 @@ nettle_SOURCES = aes-decrypt-internal.c aes-decrypt.c \ gcm-camellia128.c gcm-camellia128-meta.c \ gcm-camellia256.c gcm-camellia256-meta.c \ cmac.c cmac-aes128.c cmac-aes256.c \ - gosthash94.c gosthash94-meta.c \ + gost28147.c gosthash94.c gosthash94-meta.c \ hmac.c hmac-md5.c hmac-ripemd160.c hmac-sha1.c \ hmac-sha224.c hmac-sha256.c hmac-sha384.c hmac-sha512.c \ knuth-lfib.c hkdf.c \ @@ -196,7 +196,7 @@ HEADERS = aes.h arcfour.h arctwo.h asn1.h blowfish.h \ cbc.h ccm.h cfb.h chacha.h chacha-poly1305.h ctr.h \ curve25519.h des.h dsa.h dsa-compat.h eax.h \ ecc-curve.h ecc.h ecdsa.h eddsa.h \ - gcm.h gosthash94.h hmac.h \ + gcm.h gost28147.h gosthash94.h hmac.h \ knuth-lfib.h hkdf.h \ macros.h \ cmac.h siv-cmac.h \ @@ -230,7 +230,8 @@ DISTFILES = $(SOURCES) $(HEADERS) getopt.h getopt_int.h \ INSTALL NEWS ChangeLog \ nettle.pc.in hogweed.pc.in \ $(des_headers) descore.README desdata.stamp \ - aes-internal.h camellia-internal.h cmac-internal.h serpent-internal.h \ + aes-internal.h camellia-internal.h cmac-internal.h \ + gost28147-internal.h serpent-internal.h \ cast128_sboxes.h desinfo.h desCode.h \ ripemd160-internal.h sha2-internal.h \ memxor-internal.h nettle-internal.h nettle-write.h \ diff --git a/gost28147-internal.h b/gost28147-internal.h new file mode 100644 index 000000000000..7f5c6f8c63c0 --- /dev/null +++ b/gost28147-internal.h @@ -0,0 +1,42 @@ +/* gost28147-internal.h + + The GOST 28147-89 cipher function, described in RFC 5831. + + Copyright (C) 2019 Dmitry Eremin-Solenikov + + This file is part of GNU Nettle. + + GNU Nettle is free software: you can redistribute it and/or + modify it under the terms of either: + + * the GNU Lesser General Public License as published by the Free + Software Foundation; either version 3 of the License, or (at your + option) any later version. + + or + + * the GNU General Public License as published by the Free + Software Foundation; either version 2 of the License, or (at your + option) any later version. + + or both in parallel, as here. + + GNU Nettle is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + General Public License for more details. + + You should have received copies of the GNU General Public License and + the GNU Lesser General Public License along with this program. If + not, see http://www.gnu.org/licenses/. +*/ + +#ifndef NETTLE_GOST28147_INTERNAL_H_INCLUDED +#define NETTLE_GOST28147_INTERNAL_H_INCLUDED + +#define _gost28147_encrypt_block _nettle_gost28147_encrypt_block + +void _gost28147_encrypt_block (const uint32_t *key, const uint32_t sbox[4][256], + const uint32_t *in, uint32_t *out); + +#endif /* NETTLE_GOST28147_INTERNAL_H_INCLUDED */ diff --git a/gost28147.c b/gost28147.c new file mode 100644 index 000000000000..419cb943084d --- /dev/null +++ b/gost28147.c @@ -0,0 +1,350 @@ +/* gost28147.c - GOST 28147-89 cipher implementation + * + * based on Russian standard GOST 28147-89 + * For English description, check RFC 5830. + * S-Boxes are expanded from the tables defined in RFC4357: + * https://tools.ietf.org/html/rfc4357 + * + * Copyright: 2019 Dmitry Eremin-Solenikov <dbaryshkov(a)gmail.com> + * Copyright: 2009-2012 Aleksey Kravchenko <rhash.admin(a)gmail.com> + * + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the + * "Software"), to deal in the Software without restriction, including + * without limitation the rights to use, copy, modify, merge, publish, + * distribute, sublicense, and/or sell copies of the Software, and to + * permit persons to whom the Software is furnished to do so, subject to + * the following conditions: + * + * The above copyright notice and this permission notice shall be included + * in all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS + * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF + * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. + * IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY + * CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, + * TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE + * SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. + */ + +#if HAVE_CONFIG_H +#include "config.h" +#endif + +#include "macros.h" +#include "gost28147.h" +#include "gost28147-internal.h" + +/* pre-initialized GOST lookup tables based on rotated S-Box */ +const struct gost28147_param gost28147_param_test_3411 = +{ + { + { /* 0 */ + 0x00072000, 0x00075000, 0x00074800, 0x00071000, + 0x00076800, 0x00074000, 0x00070000, 0x00077000, + 0x00073000, 0x00075800, 0x00070800, 0x00076000, + 0x00073800, 0x00077800, 0x00072800, 0x00071800, + 0x0005a000, 0x0005d000, 0x0005c800, 0x00059000, + 0x0005e800, 0x0005c000, 0x00058000, 0x0005f000, + 0x0005b000, 0x0005d800, 0x00058800, 0x0005e000, + 0x0005b800, 0x0005f800, 0x0005a800, 0x00059800, + 0x00022000, 0x00025000, 0x00024800, 0x00021000, + 0x00026800, 0x00024000, 0x00020000, 0x00027000, + 0x00023000, 0x00025800, 0x00020800, 0x00026000, + 0x00023800, 0x00027800, 0x00022800, 0x00021800, + 0x00062000, 0x00065000, 0x00064800, 0x00061000, + 0x00066800, 0x00064000, 0x00060000, 0x00067000, + 0x00063000, 0x00065800, 0x00060800, 0x00066000, + 0x00063800, 0x00067800, 0x00062800, 0x00061800, + 0x00032000, 0x00035000, 0x00034800, 0x00031000, + 0x00036800, 0x00034000, 0x00030000, 0x00037000, + 0x00033000, 0x00035800, 0x00030800, 0x00036000, + 0x00033800, 0x00037800, 0x00032800, 0x00031800, + 0x0006a000, 0x0006d000, 0x0006c800, 0x00069000, + 0x0006e800, 0x0006c000, 0x00068000, 0x0006f000, + 0x0006b000, 0x0006d800, 0x00068800, 0x0006e000, + 0x0006b800, 0x0006f800, 0x0006a800, 0x00069800, + 0x0007a000, 0x0007d000, 0x0007c800, 0x00079000, + 0x0007e800, 0x0007c000, 0x00078000, 0x0007f000, + 0x0007b000, 0x0007d800, 0x00078800, 0x0007e000, + 0x0007b800, 0x0007f800, 0x0007a800, 0x00079800, + 0x00052000, 0x00055000, 0x00054800, 0x00051000, + 0x00056800, 0x00054000, 0x00050000, 0x00057000, + 0x00053000, 0x00055800, 0x00050800, 0x00056000, + 0x00053800, 0x00057800, 0x00052800, 0x00051800, + 0x00012000, 0x00015000, 0x00014800, 0x00011000, + 0x00016800, 0x00014000, 0x00010000, 0x00017000, + 0x00013000, 0x00015800, 0x00010800, 0x00016000, + 0x00013800, 0x00017800, 0x00012800, 0x00011800, + 0x0001a000, 0x0001d000, 0x0001c800, 0x00019000, + 0x0001e800, 0x0001c000, 0x00018000, 0x0001f000, + 0x0001b000, 0x0001d800, 0x00018800, 0x0001e000, + 0x0001b800, 0x0001f800, 0x0001a800, 0x00019800, + 0x00042000, 0x00045000, 0x00044800, 0x00041000, + 0x00046800, 0x00044000, 0x00040000, 0x00047000, + 0x00043000, 0x00045800, 0x00040800, 0x00046000, + 0x00043800, 0x00047800, 0x00042800, 0x00041800, + 0x0000a000, 0x0000d000, 0x0000c800, 0x00009000, + 0x0000e800, 0x0000c000, 0x00008000, 0x0000f000, + 0x0000b000, 0x0000d800, 0x00008800, 0x0000e000, + 0x0000b800, 0x0000f800, 0x0000a800, 0x00009800, + 0x00002000, 0x00005000, 0x00004800, 0x00001000, + 0x00006800, 0x00004000, 0x00000000, 0x00007000, + 0x00003000, 0x00005800, 0x00000800, 0x00006000, + 0x00003800, 0x00007800, 0x00002800, 0x00001800, + 0x0003a000, 0x0003d000, 0x0003c800, 0x00039000, + 0x0003e800, 0x0003c000, 0x00038000, 0x0003f000, + 0x0003b000, 0x0003d800, 0x00038800, 0x0003e000, + 0x0003b800, 0x0003f800, 0x0003a800, 0x00039800, + 0x0002a000, 0x0002d000, 0x0002c800, 0x00029000, + 0x0002e800, 0x0002c000, 0x00028000, 0x0002f000, + 0x0002b000, 0x0002d800, 0x00028800, 0x0002e000, + 0x0002b800, 0x0002f800, 0x0002a800, 0x00029800, + 0x0004a000, 0x0004d000, 0x0004c800, 0x00049000, + 0x0004e800, 0x0004c000, 0x00048000, 0x0004f000, + 0x0004b000, 0x0004d800, 0x00048800, 0x0004e000, + 0x0004b800, 0x0004f800, 0x0004a800, 0x00049800, + }, { /* 1 */ + 0x03a80000, 0x03c00000, 0x03880000, 0x03e80000, + 0x03d00000, 0x03980000, 0x03a00000, 0x03900000, + 0x03f00000, 0x03f80000, 0x03e00000, 0x03b80000, + 0x03b00000, 0x03800000, 0x03c80000, 0x03d80000, + 0x06a80000, 0x06c00000, 0x06880000, 0x06e80000, + 0x06d00000, 0x06980000, 0x06a00000, 0x06900000, + 0x06f00000, 0x06f80000, 0x06e00000, 0x06b80000, + 0x06b00000, 0x06800000, 0x06c80000, 0x06d80000, + 0x05280000, 0x05400000, 0x05080000, 0x05680000, + 0x05500000, 0x05180000, 0x05200000, 0x05100000, + 0x05700000, 0x05780000, 0x05600000, 0x05380000, + 0x05300000, 0x05000000, 0x05480000, 0x05580000, + 0x00a80000, 0x00c00000, 0x00880000, 0x00e80000, + 0x00d00000, 0x00980000, 0x00a00000, 0x00900000, + 0x00f00000, 0x00f80000, 0x00e00000, 0x00b80000, + 0x00b00000, 0x00800000, 0x00c80000, 0x00d80000, + 0x00280000, 0x00400000, 0x00080000, 0x00680000, + 0x00500000, 0x00180000, 0x00200000, 0x00100000, + 0x00700000, 0x00780000, 0x00600000, 0x00380000, + 0x00300000, 0x00000000, 0x00480000, 0x00580000, + 0x04280000, 0x04400000, 0x04080000, 0x04680000, + 0x04500000, 0x04180000, 0x04200000, 0x04100000, + 0x04700000, 0x04780000, 0x04600000, 0x04380000, + 0x04300000, 0x04000000, 0x04480000, 0x04580000, + 0x04a80000, 0x04c00000, 0x04880000, 0x04e80000, + 0x04d00000, 0x04980000, 0x04a00000, 0x04900000, + 0x04f00000, 0x04f80000, 0x04e00000, 0x04b80000, + 0x04b00000, 0x04800000, 0x04c80000, 0x04d80000, + 0x07a80000, 0x07c00000, 0x07880000, 0x07e80000, + 0x07d00000, 0x07980000, 0x07a00000, 0x07900000, + 0x07f00000, 0x07f80000, 0x07e00000, 0x07b80000, + 0x07b00000, 0x07800000, 0x07c80000, 0x07d80000, + 0x07280000, 0x07400000, 0x07080000, 0x07680000, + 0x07500000, 0x07180000, 0x07200000, 0x07100000, + 0x07700000, 0x07780000, 0x07600000, 0x07380000, + 0x07300000, 0x07000000, 0x07480000, 0x07580000, + 0x02280000, 0x02400000, 0x02080000, 0x02680000, + 0x02500000, 0x02180000, 0x02200000, 0x02100000, + 0x02700000, 0x02780000, 0x02600000, 0x02380000, + 0x02300000, 0x02000000, 0x02480000, 0x02580000, + 0x03280000, 0x03400000, 0x03080000, 0x03680000, + 0x03500000, 0x03180000, 0x03200000, 0x03100000, + 0x03700000, 0x03780000, 0x03600000, 0x03380000, + 0x03300000, 0x03000000, 0x03480000, 0x03580000, + 0x06280000, 0x06400000, 0x06080000, 0x06680000, + 0x06500000, 0x06180000, 0x06200000, 0x06100000, + 0x06700000, 0x06780000, 0x06600000, 0x06380000, + 0x06300000, 0x06000000, 0x06480000, 0x06580000, + 0x05a80000, 0x05c00000, 0x05880000, 0x05e80000, + 0x05d00000, 0x05980000, 0x05a00000, 0x05900000, + 0x05f00000, 0x05f80000, 0x05e00000, 0x05b80000, + 0x05b00000, 0x05800000, 0x05c80000, 0x05d80000, + 0x01280000, 0x01400000, 0x01080000, 0x01680000, + 0x01500000, 0x01180000, 0x01200000, 0x01100000, + 0x01700000, 0x01780000, 0x01600000, 0x01380000, + 0x01300000, 0x01000000, 0x01480000, 0x01580000, + 0x02a80000, 0x02c00000, 0x02880000, 0x02e80000, + 0x02d00000, 0x02980000, 0x02a00000, 0x02900000, + 0x02f00000, 0x02f80000, 0x02e00000, 0x02b80000, + 0x02b00000, 0x02800000, 0x02c80000, 0x02d80000, + 0x01a80000, 0x01c00000, 0x01880000, 0x01e80000, + 0x01d00000, 0x01980000, 0x01a00000, 0x01900000, + 0x01f00000, 0x01f80000, 0x01e00000, 0x01b80000, + 0x01b00000, 0x01800000, 0x01c80000, 0x01d80000, + }, { /* 2 */ + 0x30000002, 0x60000002, 0x38000002, 0x08000002, + 0x28000002, 0x78000002, 0x68000002, 0x40000002, + 0x20000002, 0x50000002, 0x48000002, 0x70000002, + 0x00000002, 0x18000002, 0x58000002, 0x10000002, + 0xb0000005, 0xe0000005, 0xb8000005, 0x88000005, + 0xa8000005, 0xf8000005, 0xe8000005, 0xc0000005, + 0xa0000005, 0xd0000005, 0xc8000005, 0xf0000005, + 0x80000005, 0x98000005, 0xd8000005, 0x90000005, + 0x30000005, 0x60000005, 0x38000005, 0x08000005, + 0x28000005, 0x78000005, 0x68000005, 0x40000005, + 0x20000005, 0x50000005, 0x48000005, 0x70000005, + 0x00000005, 0x18000005, 0x58000005, 0x10000005, + 0x30000000, 0x60000000, 0x38000000, 0x08000000, + 0x28000000, 0x78000000, 0x68000000, 0x40000000, + 0x20000000, 0x50000000, 0x48000000, 0x70000000, + 0x00000000, 0x18000000, 0x58000000, 0x10000000, + 0xb0000003, 0xe0000003, 0xb8000003, 0x88000003, + 0xa8000003, 0xf8000003, 0xe8000003, 0xc0000003, + 0xa0000003, 0xd0000003, 0xc8000003, 0xf0000003, + 0x80000003, 0x98000003, 0xd8000003, 0x90000003, + 0x30000001, 0x60000001, 0x38000001, 0x08000001, + 0x28000001, 0x78000001, 0x68000001, 0x40000001, + 0x20000001, 0x50000001, 0x48000001, 0x70000001, + 0x00000001, 0x18000001, 0x58000001, 0x10000001, + 0xb0000000, 0xe0000000, 0xb8000000, 0x88000000, + 0xa8000000, 0xf8000000, 0xe8000000, 0xc0000000, + 0xa0000000, 0xd0000000, 0xc8000000, 0xf0000000, + 0x80000000, 0x98000000, 0xd8000000, 0x90000000, + 0xb0000006, 0xe0000006, 0xb8000006, 0x88000006, + 0xa8000006, 0xf8000006, 0xe8000006, 0xc0000006, + 0xa0000006, 0xd0000006, 0xc8000006, 0xf0000006, + 0x80000006, 0x98000006, 0xd8000006, 0x90000006, + 0xb0000001, 0xe0000001, 0xb8000001, 0x88000001, + 0xa8000001, 0xf8000001, 0xe8000001, 0xc0000001, + 0xa0000001, 0xd0000001, 0xc8000001, 0xf0000001, + 0x80000001, 0x98000001, 0xd8000001, 0x90000001, + 0x30000003, 0x60000003, 0x38000003, 0x08000003, + 0x28000003, 0x78000003, 0x68000003, 0x40000003, + 0x20000003, 0x50000003, 0x48000003, 0x70000003, + 0x00000003, 0x18000003, 0x58000003, 0x10000003, + 0x30000004, 0x60000004, 0x38000004, 0x08000004, + 0x28000004, 0x78000004, 0x68000004, 0x40000004, + 0x20000004, 0x50000004, 0x48000004, 0x70000004, + 0x00000004, 0x18000004, 0x58000004, 0x10000004, + 0xb0000002, 0xe0000002, 0xb8000002, 0x88000002, + 0xa8000002, 0xf8000002, 0xe8000002, 0xc0000002, + 0xa0000002, 0xd0000002, 0xc8000002, 0xf0000002, + 0x80000002, 0x98000002, 0xd8000002, 0x90000002, + 0xb0000004, 0xe0000004, 0xb8000004, 0x88000004, + 0xa8000004, 0xf8000004, 0xe8000004, 0xc0000004, + 0xa0000004, 0xd0000004, 0xc8000004, 0xf0000004, + 0x80000004, 0x98000004, 0xd8000004, 0x90000004, + 0x30000006, 0x60000006, 0x38000006, 0x08000006, + 0x28000006, 0x78000006, 0x68000006, 0x40000006, + 0x20000006, 0x50000006, 0x48000006, 0x70000006, + 0x00000006, 0x18000006, 0x58000006, 0x10000006, + 0xb0000007, 0xe0000007, 0xb8000007, 0x88000007, + 0xa8000007, 0xf8000007, 0xe8000007, 0xc0000007, + 0xa0000007, 0xd0000007, 0xc8000007, 0xf0000007, + 0x80000007, 0x98000007, 0xd8000007, 0x90000007, + 0x30000007, 0x60000007, 0x38000007, 0x08000007, + 0x28000007, 0x78000007, 0x68000007, 0x40000007, + 0x20000007, 0x50000007, 0x48000007, 0x70000007, + 0x00000007, 0x18000007, 0x58000007, 0x10000007, + }, { /* 3 */ + 0x000000e8, 0x000000d8, 0x000000a0, 0x00000088, + 0x00000098, 0x000000f8, 0x000000a8, 0x000000c8, + 0x00000080, 0x000000d0, 0x000000f0, 0x000000b8, + 0x000000b0, 0x000000c0, 0x00000090, 0x000000e0, + 0x000007e8, 0x000007d8, 0x000007a0, 0x00000788, + 0x00000798, 0x000007f8, 0x000007a8, 0x000007c8, + 0x00000780, 0x000007d0, 0x000007f0, 0x000007b8, + 0x000007b0, 0x000007c0, 0x00000790, 0x000007e0, + 0x000006e8, 0x000006d8, 0x000006a0, 0x00000688, + 0x00000698, 0x000006f8, 0x000006a8, 0x000006c8, + 0x00000680, 0x000006d0, 0x000006f0, 0x000006b8, + 0x000006b0, 0x000006c0, 0x00000690, 0x000006e0, + 0x00000068, 0x00000058, 0x00000020, 0x00000008, + 0x00000018, 0x00000078, 0x00000028, 0x00000048, + 0x00000000, 0x00000050, 0x00000070, 0x00000038, + 0x00000030, 0x00000040, 0x00000010, 0x00000060, + 0x000002e8, 0x000002d8, 0x000002a0, 0x00000288, + 0x00000298, 0x000002f8, 0x000002a8, 0x000002c8, + 0x00000280, 0x000002d0, 0x000002f0, 0x000002b8, + 0x000002b0, 0x000002c0, 0x00000290, 0x000002e0, + 0x000003e8, 0x000003d8, 0x000003a0, 0x00000388, + 0x00000398, 0x000003f8, 0x000003a8, 0x000003c8, + 0x00000380, 0x000003d0, 0x000003f0, 0x000003b8, + 0x000003b0, 0x000003c0, 0x00000390, 0x000003e0, + 0x00000568, 0x00000558, 0x00000520, 0x00000508, + 0x00000518, 0x00000578, 0x00000528, 0x00000548, + 0x00000500, 0x00000550, 0x00000570, 0x00000538, + 0x00000530, 0x00000540, 0x00000510, 0x00000560, + 0x00000268, 0x00000258, 0x00000220, 0x00000208, + 0x00000218, 0x00000278, 0x00000228, 0x00000248, + 0x00000200, 0x00000250, 0x00000270, 0x00000238, + 0x00000230, 0x00000240, 0x00000210, 0x00000260, + 0x000004e8, 0x000004d8, 0x000004a0, 0x00000488, + 0x00000498, 0x000004f8, 0x000004a8, 0x000004c8, + 0x00000480, 0x000004d0, 0x000004f0, 0x000004b8, + 0x000004b0, 0x000004c0, 0x00000490, 0x000004e0, + 0x00000168, 0x00000158, 0x00000120, 0x00000108, + 0x00000118, 0x00000178, 0x00000128, 0x00000148, + 0x00000100, 0x00000150, 0x00000170, 0x00000138, + 0x00000130, 0x00000140, 0x00000110, 0x00000160, + 0x000001e8, 0x000001d8, 0x000001a0, 0x00000188, + 0x00000198, 0x000001f8, 0x000001a8, 0x000001c8, + 0x00000180, 0x000001d0, 0x000001f0, 0x000001b8, + 0x000001b0, 0x000001c0, 0x00000190, 0x000001e0, + 0x00000768, 0x00000758, 0x00000720, 0x00000708, + 0x00000718, 0x00000778, 0x00000728, 0x00000748, + 0x00000700, 0x00000750, 0x00000770, 0x00000738, + 0x00000730, 0x00000740, 0x00000710, 0x00000760, + 0x00000368, 0x00000358, 0x00000320, 0x00000308, + 0x00000318, 0x00000378, 0x00000328, 0x00000348, + 0x00000300, 0x00000350, 0x00000370, 0x00000338, + 0x00000330, 0x00000340, 0x00000310, 0x00000360, + 0x000005e8, 0x000005d8, 0x000005a0, 0x00000588, + 0x00000598, 0x000005f8, 0x000005a8, 0x000005c8, + 0x00000580, 0x000005d0, 0x000005f0, 0x000005b8, + 0x000005b0, 0x000005c0, 0x00000590, 0x000005e0, + 0x00000468, 0x00000458, 0x00000420, 0x00000408, + 0x00000418, 0x00000478, 0x00000428, 0x00000448, + 0x00000400, 0x00000450, 0x00000470, 0x00000438, + 0x00000430, 0x00000440, 0x00000410, 0x00000460, + 0x00000668, 0x00000658, 0x00000620, 0x00000608, + 0x00000618, 0x00000678, 0x00000628, 0x00000648, + 0x00000600, 0x00000650, 0x00000670, 0x00000638, + 0x00000630, 0x00000640, 0x00000610, 0x00000660, + } + } +}; + +/* + * A macro that performs a full encryption round of GOST 28147-89. + */ +#define GOST_ENCRYPT_ROUND(l, r, key1, key2, sbox) \ + do { \ + uint32_t round_tmp; \ + \ + round_tmp = (key1) + r; \ + l ^= (sbox)[0][(round_tmp & 0xff)] ^ \ + (sbox)[1][((round_tmp >> 8) & 0xff)] ^ \ + (sbox)[2][((round_tmp >> 16) & 0xff)] ^ \ + (sbox)[3][(round_tmp >> 24)]; \ + round_tmp = (key2) + l; \ + r ^= (sbox)[0][(round_tmp & 0xff)] ^ \ + (sbox)[1][((round_tmp >> 8) & 0xff)] ^ \ + (sbox)[2][((round_tmp >> 16) & 0xff)] ^ \ + (sbox)[3][(round_tmp >> 24)]; \ + } while (0) + +/* encrypt a block with the given key */ +void _gost28147_encrypt_block (const uint32_t *key, const uint32_t sbox[4][256], + const uint32_t *in, uint32_t *out) +{ + uint32_t l, r; + + r = in[0], l = in[1]; + GOST_ENCRYPT_ROUND(l, r, key[0], key[1], sbox); + GOST_ENCRYPT_ROUND(l, r, key[2], key[3], sbox); + GOST_ENCRYPT_ROUND(l, r, key[4], key[5], sbox); + GOST_ENCRYPT_ROUND(l, r, key[6], key[7], sbox); + GOST_ENCRYPT_ROUND(l, r, key[0], key[1], sbox); + GOST_ENCRYPT_ROUND(l, r, key[2], key[3], sbox); + GOST_ENCRYPT_ROUND(l, r, key[4], key[5], sbox); + GOST_ENCRYPT_ROUND(l, r, key[6], key[7], sbox); + GOST_ENCRYPT_ROUND(l, r, key[0], key[1], sbox); + GOST_ENCRYPT_ROUND(l, r, key[2], key[3], sbox); + GOST_ENCRYPT_ROUND(l, r, key[4], key[5], sbox); + GOST_ENCRYPT_ROUND(l, r, key[6], key[7], sbox); + GOST_ENCRYPT_ROUND(l, r, key[7], key[6], sbox); + GOST_ENCRYPT_ROUND(l, r, key[5], key[4], sbox); + GOST_ENCRYPT_ROUND(l, r, key[3], key[2], sbox); + GOST_ENCRYPT_ROUND(l, r, key[1], key[0], sbox); + *out = l, *(out + 1) = r; +} diff --git a/gost28147.h b/gost28147.h new file mode 100644 index 000000000000..d403c4329f13 --- /dev/null +++ b/gost28147.h @@ -0,0 +1,56 @@ +/* gost28147.h + + The GOST 28147-89 cipher function, described in RFC 5831. + + Copyright (C) 2019 Dmitry Eremin-Solenikov + + This file is part of GNU Nettle. + + GNU Nettle is free software: you can redistribute it and/or + modify it under the terms of either: + + * the GNU Lesser General Public License as published by the Free + Software Foundation; either version 3 of the License, or (at your + option) any later version. + + or + + * the GNU General Public License as published by the Free + Software Foundation; either version 2 of the License, or (at your + option) any later version. + + or both in parallel, as here. + + GNU Nettle is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + General Public License for more details. + + You should have received copies of the GNU General Public License and + the GNU Lesser General Public License along with this program. If + not, see http://www.gnu.org/licenses/. +*/ + +#ifndef NETTLE_GOST28147_H_INCLUDED +#define NETTLE_GOST28147_H_INCLUDED + +#include "nettle-types.h" + +#ifdef __cplusplus +extern "C" { +#endif + +#define gost28147_param_test_3411 nettle_gost28147_param_test_3411 + +struct gost28147_param +{ + uint32_t sbox[4][256]; +}; + +extern const struct gost28147_param gost28147_param_test_3411; + +#ifdef __cplusplus +} +#endif + +#endif /* NETTLE_GOST28147_H_INCLUDED */ diff --git a/gosthash94.c b/gosthash94.c index e60c9ae5cddf..53716ca744a2 100644 --- a/gosthash94.c +++ b/gosthash94.c @@ -1,5 +1,7 @@ -/* gost.c - an implementation of GOST Hash Function +/* gosthash94.c - an implementation of GOST Hash Function + * * based on the Russian Standard GOST R 34.11-94. + * English description in RFC 5831. * See also RFC 4357. * * Copyright: 2009-2012 Aleksey Kravchenko <rhash.admin(a)gmail.com> @@ -38,209 +40,8 @@ #include "macros.h" #include "nettle-write.h" #include "gosthash94.h" - -/* pre-initialized GOST lookup tables based on rotated S-Box */ -static const uint32_t gosthash94_sbox[4][256] = { - { - 0x72000, 0x75000, 0x74800, 0x71000, 0x76800, - 0x74000, 0x70000, 0x77000, 0x73000, 0x75800, - 0x70800, 0x76000, 0x73800, 0x77800, 0x72800, - 0x71800, 0x5A000, 0x5D000, 0x5C800, 0x59000, - 0x5E800, 0x5C000, 0x58000, 0x5F000, 0x5B000, - 0x5D800, 0x58800, 0x5E000, 0x5B800, 0x5F800, - 0x5A800, 0x59800, 0x22000, 0x25000, 0x24800, - 0x21000, 0x26800, 0x24000, 0x20000, 0x27000, - 0x23000, 0x25800, 0x20800, 0x26000, 0x23800, - 0x27800, 0x22800, 0x21800, 0x62000, 0x65000, - 0x64800, 0x61000, 0x66800, 0x64000, 0x60000, - 0x67000, 0x63000, 0x65800, 0x60800, 0x66000, - 0x63800, 0x67800, 0x62800, 0x61800, 0x32000, - 0x35000, 0x34800, 0x31000, 0x36800, 0x34000, - 0x30000, 0x37000, 0x33000, 0x35800, 0x30800, - 0x36000, 0x33800, 0x37800, 0x32800, 0x31800, - 0x6A000, 0x6D000, 0x6C800, 0x69000, 0x6E800, - 0x6C000, 0x68000, 0x6F000, 0x6B000, 0x6D800, - 0x68800, 0x6E000, 0x6B800, 0x6F800, 0x6A800, - 0x69800, 0x7A000, 0x7D000, 0x7C800, 0x79000, - 0x7E800, 0x7C000, 0x78000, 0x7F000, 0x7B000, - 0x7D800, 0x78800, 0x7E000, 0x7B800, 0x7F800, - 0x7A800, 0x79800, 0x52000, 0x55000, 0x54800, - 0x51000, 0x56800, 0x54000, 0x50000, 0x57000, - 0x53000, 0x55800, 0x50800, 0x56000, 0x53800, - 0x57800, 0x52800, 0x51800, 0x12000, 0x15000, - 0x14800, 0x11000, 0x16800, 0x14000, 0x10000, - 0x17000, 0x13000, 0x15800, 0x10800, 0x16000, - 0x13800, 0x17800, 0x12800, 0x11800, 0x1A000, - 0x1D000, 0x1C800, 0x19000, 0x1E800, 0x1C000, - 0x18000, 0x1F000, 0x1B000, 0x1D800, 0x18800, - 0x1E000, 0x1B800, 0x1F800, 0x1A800, 0x19800, - 0x42000, 0x45000, 0x44800, 0x41000, 0x46800, - 0x44000, 0x40000, 0x47000, 0x43000, 0x45800, - 0x40800, 0x46000, 0x43800, 0x47800, 0x42800, - 0x41800, 0xA000, 0xD000, 0xC800, 0x9000, - 0xE800, 0xC000, 0x8000, 0xF000, 0xB000, - 0xD800, 0x8800, 0xE000, 0xB800, 0xF800, - 0xA800, 0x9800, 0x2000, 0x5000, 0x4800, - 0x1000, 0x6800, 0x4000, 0x0, 0x7000, - 0x3000, 0x5800, 0x800, 0x6000, 0x3800, - 0x7800, 0x2800, 0x1800, 0x3A000, 0x3D000, - 0x3C800, 0x39000, 0x3E800, 0x3C000, 0x38000, - 0x3F000, 0x3B000, 0x3D800, 0x38800, 0x3E000, - 0x3B800, 0x3F800, 0x3A800, 0x39800, 0x2A000, - 0x2D000, 0x2C800, 0x29000, 0x2E800, 0x2C000, - 0x28000, 0x2F000, 0x2B000, 0x2D800, 0x28800, - 0x2E000, 0x2B800, 0x2F800, 0x2A800, 0x29800, - 0x4A000, 0x4D000, 0x4C800, 0x49000, 0x4E800, - 0x4C000, 0x48000, 0x4F000, 0x4B000, 0x4D800, - 0x48800, 0x4E000, 0x4B800, 0x4F800, 0x4A800, - 0x49800 - }, { - 0x3A80000, 0x3C00000, 0x3880000, 0x3E80000, 0x3D00000, - 0x3980000, 0x3A00000, 0x3900000, 0x3F00000, 0x3F80000, - 0x3E00000, 0x3B80000, 0x3B00000, 0x3800000, 0x3C80000, - 0x3D80000, 0x6A80000, 0x6C00000, 0x6880000, 0x6E80000, - 0x6D00000, 0x6980000, 0x6A00000, 0x6900000, 0x6F00000, - 0x6F80000, 0x6E00000, 0x6B80000, 0x6B00000, 0x6800000, - 0x6C80000, 0x6D80000, 0x5280000, 0x5400000, 0x5080000, - 0x5680000, 0x5500000, 0x5180000, 0x5200000, 0x5100000, - 0x5700000, 0x5780000, 0x5600000, 0x5380000, 0x5300000, - 0x5000000, 0x5480000, 0x5580000, 0xA80000, 0xC00000, - 0x880000, 0xE80000, 0xD00000, 0x980000, 0xA00000, - 0x900000, 0xF00000, 0xF80000, 0xE00000, 0xB80000, - 0xB00000, 0x800000, 0xC80000, 0xD80000, 0x280000, - 0x400000, 0x80000, 0x680000, 0x500000, 0x180000, - 0x200000, 0x100000, 0x700000, 0x780000, 0x600000, - 0x380000, 0x300000, 0x0, 0x480000, 0x580000, - 0x4280000, 0x4400000, 0x4080000, 0x4680000, 0x4500000, - 0x4180000, 0x4200000, 0x4100000, 0x4700000, 0x4780000, - 0x4600000, 0x4380000, 0x4300000, 0x4000000, 0x4480000, - 0x4580000, 0x4A80000, 0x4C00000, 0x4880000, 0x4E80000, - 0x4D00000, 0x4980000, 0x4A00000, 0x4900000, 0x4F00000, - 0x4F80000, 0x4E00000, 0x4B80000, 0x4B00000, 0x4800000, - 0x4C80000, 0x4D80000, 0x7A80000, 0x7C00000, 0x7880000, - 0x7E80000, 0x7D00000, 0x7980000, 0x7A00000, 0x7900000, - 0x7F00000, 0x7F80000, 0x7E00000, 0x7B80000, 0x7B00000, - 0x7800000, 0x7C80000, 0x7D80000, 0x7280000, 0x7400000, - 0x7080000, 0x7680000, 0x7500000, 0x7180000, 0x7200000, - 0x7100000, 0x7700000, 0x7780000, 0x7600000, 0x7380000, - 0x7300000, 0x7000000, 0x7480000, 0x7580000, 0x2280000, - 0x2400000, 0x2080000, 0x2680000, 0x2500000, 0x2180000, - 0x2200000, 0x2100000, 0x2700000, 0x2780000, 0x2600000, - 0x2380000, 0x2300000, 0x2000000, 0x2480000, 0x2580000, - 0x3280000, 0x3400000, 0x3080000, 0x3680000, 0x3500000, - 0x3180000, 0x3200000, 0x3100000, 0x3700000, 0x3780000, - 0x3600000, 0x3380000, 0x3300000, 0x3000000, 0x3480000, - 0x3580000, 0x6280000, 0x6400000, 0x6080000, 0x6680000, - 0x6500000, 0x6180000, 0x6200000, 0x6100000, 0x6700000, - 0x6780000, 0x6600000, 0x6380000, 0x6300000, 0x6000000, - 0x6480000, 0x6580000, 0x5A80000, 0x5C00000, 0x5880000, - 0x5E80000, 0x5D00000, 0x5980000, 0x5A00000, 0x5900000, - 0x5F00000, 0x5F80000, 0x5E00000, 0x5B80000, 0x5B00000, - 0x5800000, 0x5C80000, 0x5D80000, 0x1280000, 0x1400000, - 0x1080000, 0x1680000, 0x1500000, 0x1180000, 0x1200000, - 0x1100000, 0x1700000, 0x1780000, 0x1600000, 0x1380000, - 0x1300000, 0x1000000, 0x1480000, 0x1580000, 0x2A80000, - 0x2C00000, 0x2880000, 0x2E80000, 0x2D00000, 0x2980000, - 0x2A00000, 0x2900000, 0x2F00000, 0x2F80000, 0x2E00000, - 0x2B80000, 0x2B00000, 0x2800000, 0x2C80000, 0x2D80000, - 0x1A80000, 0x1C00000, 0x1880000, 0x1E80000, 0x1D00000, - 0x1980000, 0x1A00000, 0x1900000, 0x1F00000, 0x1F80000, - 0x1E00000, 0x1B80000, 0x1B00000, 0x1800000, 0x1C80000, - 0x1D80000 - }, { - 0x30000002, 0x60000002, 0x38000002, 0x8000002, - 0x28000002, 0x78000002, 0x68000002, 0x40000002, - 0x20000002, 0x50000002, 0x48000002, 0x70000002, - 0x2, 0x18000002, 0x58000002, 0x10000002, - 0xB0000005, 0xE0000005, 0xB8000005, 0x88000005, - 0xA8000005, 0xF8000005, 0xE8000005, 0xC0000005, - 0xA0000005, 0xD0000005, 0xC8000005, 0xF0000005, - 0x80000005, 0x98000005, 0xD8000005, 0x90000005, - 0x30000005, 0x60000005, 0x38000005, 0x8000005, - 0x28000005, 0x78000005, 0x68000005, 0x40000005, - 0x20000005, 0x50000005, 0x48000005, 0x70000005, - 0x5, 0x18000005, 0x58000005, 0x10000005, - 0x30000000, 0x60000000, 0x38000000, 0x8000000, - 0x28000000, 0x78000000, 0x68000000, 0x40000000, - 0x20000000, 0x50000000, 0x48000000, 0x70000000, - 0x0, 0x18000000, 0x58000000, 0x10000000, - 0xB0000003, 0xE0000003, 0xB8000003, 0x88000003, - 0xA8000003, 0xF8000003, 0xE8000003, 0xC0000003, - 0xA0000003, 0xD0000003, 0xC8000003, 0xF0000003, - 0x80000003, 0x98000003, 0xD8000003, 0x90000003, - 0x30000001, 0x60000001, 0x38000001, 0x8000001, - 0x28000001, 0x78000001, 0x68000001, 0x40000001, - 0x20000001, 0x50000001, 0x48000001, 0x70000001, - 0x1, 0x18000001, 0x58000001, 0x10000001, - 0xB0000000, 0xE0000000, 0xB8000000, 0x88000000, - 0xA8000000, 0xF8000000, 0xE8000000, 0xC0000000, - 0xA0000000, 0xD0000000, 0xC8000000, 0xF0000000, - 0x80000000, 0x98000000, 0xD8000000, 0x90000000, - 0xB0000006, 0xE0000006, 0xB8000006, 0x88000006, - 0xA8000006, 0xF8000006, 0xE8000006, 0xC0000006, - 0xA0000006, 0xD0000006, 0xC8000006, 0xF0000006, - 0x80000006, 0x98000006, 0xD8000006, 0x90000006, - 0xB0000001, 0xE0000001, 0xB8000001, 0x88000001, - 0xA8000001, 0xF8000001, 0xE8000001, 0xC0000001, - 0xA0000001, 0xD0000001, 0xC8000001, 0xF0000001, - 0x80000001, 0x98000001, 0xD8000001, 0x90000001, - 0x30000003, 0x60000003, 0x38000003, 0x8000003, - 0x28000003, 0x78000003, 0x68000003, 0x40000003, - 0x20000003, 0x50000003, 0x48000003, 0x70000003, - 0x3, 0x18000003, 0x58000003, 0x10000003, - 0x30000004, 0x60000004, 0x38000004, 0x8000004, - 0x28000004, 0x78000004, 0x68000004, 0x40000004, - 0x20000004, 0x50000004, 0x48000004, 0x70000004, - 0x4, 0x18000004, 0x58000004, 0x10000004, - 0xB0000002, 0xE0000002, 0xB8000002, 0x88000002, - 0xA8000002, 0xF8000002, 0xE8000002, 0xC0000002, - 0xA0000002, 0xD0000002, 0xC8000002, 0xF0000002, - 0x80000002, 0x98000002, 0xD8000002, 0x90000002, - 0xB0000004, 0xE0000004, 0xB8000004, 0x88000004, - 0xA8000004, 0xF8000004, 0xE8000004, 0xC0000004, - 0xA0000004, 0xD0000004, 0xC8000004, 0xF0000004, - 0x80000004, 0x98000004, 0xD8000004, 0x90000004, - 0x30000006, 0x60000006, 0x38000006, 0x8000006, - 0x28000006, 0x78000006, 0x68000006, 0x40000006, - 0x20000006, 0x50000006, 0x48000006, 0x70000006, - 0x6, 0x18000006, 0x58000006, 0x10000006, - 0xB0000007, 0xE0000007, 0xB8000007, 0x88000007, - 0xA8000007, 0xF8000007, 0xE8000007, 0xC0000007, - 0xA0000007, 0xD0000007, 0xC8000007, 0xF0000007, - 0x80000007, 0x98000007, 0xD8000007, 0x90000007, - 0x30000007, 0x60000007, 0x38000007, 0x8000007, - 0x28000007, 0x78000007, 0x68000007, 0x40000007, - 0x20000007, 0x50000007, 0x48000007, 0x70000007, - 0x7, 0x18000007, 0x58000007, 0x10000007 - }, { - 0xE8, 0xD8, 0xA0, 0x88, 0x98, 0xF8, 0xA8, 0xC8, 0x80, 0xD0, - 0xF0, 0xB8, 0xB0, 0xC0, 0x90, 0xE0, 0x7E8, 0x7D8, 0x7A0, 0x788, - 0x798, 0x7F8, 0x7A8, 0x7C8, 0x780, 0x7D0, 0x7F0, 0x7B8, 0x7B0, 0x7C0, - 0x790, 0x7E0, 0x6E8, 0x6D8, 0x6A0, 0x688, 0x698, 0x6F8, 0x6A8, 0x6C8, - 0x680, 0x6D0, 0x6F0, 0x6B8, 0x6B0, 0x6C0, 0x690, 0x6E0, 0x68, 0x58, - 0x20, 0x8, 0x18, 0x78, 0x28, 0x48, 0x0, 0x50, 0x70, 0x38, - 0x30, 0x40, 0x10, 0x60, 0x2E8, 0x2D8, 0x2A0, 0x288, 0x298, 0x2F8, - 0x2A8, 0x2C8, 0x280, 0x2D0, 0x2F0, 0x2B8, 0x2B0, 0x2C0, 0x290, 0x2E0, - 0x3E8, 0x3D8, 0x3A0, 0x388, 0x398, 0x3F8, 0x3A8, 0x3C8, 0x380, 0x3D0, - 0x3F0, 0x3B8, 0x3B0, 0x3C0, 0x390, 0x3E0, 0x568, 0x558, 0x520, 0x508, - 0x518, 0x578, 0x528, 0x548, 0x500, 0x550, 0x570, 0x538, 0x530, 0x540, - 0x510, 0x560, 0x268, 0x258, 0x220, 0x208, 0x218, 0x278, 0x228, 0x248, - 0x200, 0x250, 0x270, 0x238, 0x230, 0x240, 0x210, 0x260, 0x4E8, 0x4D8, - 0x4A0, 0x488, 0x498, 0x4F8, 0x4A8, 0x4C8, 0x480, 0x4D0, 0x4F0, 0x4B8, - 0x4B0, 0x4C0, 0x490, 0x4E0, 0x168, 0x158, 0x120, 0x108, 0x118, 0x178, - 0x128, 0x148, 0x100, 0x150, 0x170, 0x138, 0x130, 0x140, 0x110, 0x160, - 0x1E8, 0x1D8, 0x1A0, 0x188, 0x198, 0x1F8, 0x1A8, 0x1C8, 0x180, 0x1D0, - 0x1F0, 0x1B8, 0x1B0, 0x1C0, 0x190, 0x1E0, 0x768, 0x758, 0x720, 0x708, - 0x718, 0x778, 0x728, 0x748, 0x700, 0x750, 0x770, 0x738, 0x730, 0x740, - 0x710, 0x760, 0x368, 0x358, 0x320, 0x308, 0x318, 0x378, 0x328, 0x348, - 0x300, 0x350, 0x370, 0x338, 0x330, 0x340, 0x310, 0x360, 0x5E8, 0x5D8, - 0x5A0, 0x588, 0x598, 0x5F8, 0x5A8, 0x5C8, 0x580, 0x5D0, 0x5F0, 0x5B8, - 0x5B0, 0x5C0, 0x590, 0x5E0, 0x468, 0x458, 0x420, 0x408, 0x418, 0x478, - 0x428, 0x448, 0x400, 0x450, 0x470, 0x438, 0x430, 0x440, 0x410, 0x460, - 0x668, 0x658, 0x620, 0x608, 0x618, 0x678, 0x628, 0x648, 0x600, 0x650, - 0x670, 0x638, 0x630, 0x640, 0x610, 0x660 - } -}; +#include "gost28147.h" +#include "gost28147-internal.h" /** * Initialize algorithm context before calculating hash @@ -254,40 +55,6 @@ gosthash94_init (struct gosthash94_ctx *ctx) memset (ctx, 0, sizeof (struct gosthash94_ctx)); } -/* - * A macro that performs a full encryption round of GOST 28147-89. - * Temporary variables tmp assumed and variables r and l for left and right - * blocks. - */ -#define GOST_ENCRYPT_ROUND(key1, key2, sbox) \ - tmp = (key1) + r; \ - l ^= (sbox)[0][tmp & 0xff] ^ (sbox)[1][(tmp >> 8) & 0xff] ^ \ - (sbox)[2][(tmp >> 16) & 0xff] ^ (sbox)[3][tmp >> 24]; \ - tmp = (key2) + l; \ - r ^= (sbox)[0][tmp & 0xff] ^ (sbox)[1][(tmp >> 8) & 0xff] ^ \ - (sbox)[2][(tmp >> 16) & 0xff] ^ (sbox)[3][tmp >> 24]; - -/* encrypt a block with the given key */ -#define GOST_ENCRYPT(result, i, key, hash, sbox) \ - r = hash[i], l = hash[i + 1]; \ - GOST_ENCRYPT_ROUND(key[0], key[1], sbox) \ - GOST_ENCRYPT_ROUND(key[2], key[3], sbox) \ - GOST_ENCRYPT_ROUND(key[4], key[5], sbox) \ - GOST_ENCRYPT_ROUND(key[6], key[7], sbox) \ - GOST_ENCRYPT_ROUND(key[0], key[1], sbox) \ - GOST_ENCRYPT_ROUND(key[2], key[3], sbox) \ - GOST_ENCRYPT_ROUND(key[4], key[5], sbox) \ - GOST_ENCRYPT_ROUND(key[6], key[7], sbox) \ - GOST_ENCRYPT_ROUND(key[0], key[1], sbox) \ - GOST_ENCRYPT_ROUND(key[2], key[3], sbox) \ - GOST_ENCRYPT_ROUND(key[4], key[5], sbox) \ - GOST_ENCRYPT_ROUND(key[6], key[7], sbox) \ - GOST_ENCRYPT_ROUND(key[7], key[6], sbox) \ - GOST_ENCRYPT_ROUND(key[5], key[4], sbox) \ - GOST_ENCRYPT_ROUND(key[3], key[2], sbox) \ - GOST_ENCRYPT_ROUND(key[1], key[0], sbox) \ - result[i] = l, result[i + 1] = r; - /** * The core transformation. Process a 512-bit block. * @@ -299,7 +66,6 @@ gost_block_compress (struct gosthash94_ctx *ctx, const uint32_t *block) { unsigned i; uint32_t key[8], u[8], v[8], w[8], s[8]; - uint32_t l, r, tmp; /* u := hash, v := <256-bit message block> */ memcpy (u, ctx->hash, sizeof (u)); @@ -341,7 +107,7 @@ gost_block_compress (struct gosthash94_ctx *ctx, const uint32_t *block) ((w[5] & 0xff000000) >> 8) | (w[7] & 0xff000000); /* encryption: s_i := E_{key_i} (h_i) */ - GOST_ENCRYPT (s, i, key, ctx->hash, gosthash94_sbox); + _gost28147_encrypt_block (key, gost28147_param_test_3411.sbox, &ctx->hash[i], &s[i]); if (i == 0) { -- 2.20.1

2 12

[PATCH v2 1/4] block-internal: add block XORing functions
by dbaryshkov＠gmail.com 04 Sep '19

04 Sep '19

From: Dmitry Eremin-Solenikov <dbaryshkov(a)gmail.com> Add common implementations for functions doing XOR over nettle_block16/nettle_block8. Signed-off-by: Dmitry Eremin-Solenikov <dbaryshkov(a)gmail.com> --- Makefile.in | 3 +- block-internal.h | 93 ++++++++++++++++++++++++++++++++++++++++++++++++ cmac.c | 11 +++--- cmac64.c | 12 +++---- eax.c | 9 +---- gcm.c | 20 ++++------- siv-cmac.c | 9 ++--- 7 files changed, 120 insertions(+), 37 deletions(-) create mode 100644 block-internal.h diff --git a/Makefile.in b/Makefile.in index af4f6e46ee9b..f6658c86341c 100644 --- a/Makefile.in +++ b/Makefile.in @@ -230,7 +230,8 @@ DISTFILES = $(SOURCES) $(HEADERS) getopt.h getopt_int.h \ INSTALL NEWS ChangeLog \ nettle.pc.in hogweed.pc.in \ $(des_headers) descore.README desdata.stamp \ - aes-internal.h camellia-internal.h cmac-internal.h serpent-internal.h \ + aes-internal.h block-internal.h \ + camellia-internal.h cmac-internal.h serpent-internal.h \ cast128_sboxes.h desinfo.h desCode.h \ ripemd160-internal.h sha2-internal.h \ memxor-internal.h nettle-internal.h nettle-write.h \ diff --git a/block-internal.h b/block-internal.h new file mode 100644 index 000000000000..ab3a6a79b8cb --- /dev/null +++ b/block-internal.h @@ -0,0 +1,93 @@ +/* block-internal.h + + Internal implementations of nettle_blockZ-related functions. + + Copyright (C) 2011 Katholieke Universiteit Leuven + Copyright (C) 2011, 2013, 2018 Niels Möller + Copyright (C) 2018 Red Hat, Inc. + Copyright (C) 2019 Dmitry Eremin-Solenikov + + This file is part of GNU Nettle. + + GNU Nettle is free software: you can redistribute it and/or + modify it under the terms of either: + + * the GNU Lesser General Public License as published by the Free + Software Foundation; either version 3 of the License, or (at your + option) any later version. + + or + + * the GNU General Public License as published by the Free + Software Foundation; either version 2 of the License, or (at your + option) any later version. + + or both in parallel, as here. + + GNU Nettle is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + General Public License for more details. + + You should have received copies of the GNU General Public License and + the GNU Lesser General Public License along with this program. If + not, see http://www.gnu.org/licenses/. +*/ + +#ifndef NETTLE_BLOCK_INTERNAL_H_INCLUDED +#define NETTLE_BLOCK_INTERNAL_H_INCLUDED + +#include <assert.h> + +#include "nettle-types.h" +#include "memxor.h" + +static inline void +block16_xor (union nettle_block16 *r, + const union nettle_block16 *x) +{ + r->u64[0] ^= x->u64[0]; + r->u64[1] ^= x->u64[1]; +} + +static inline void +block16_xor3 (union nettle_block16 *r, + const union nettle_block16 *x, + const union nettle_block16 *y) +{ + r->u64[0] = x->u64[0] ^ y->u64[0]; + r->u64[1] = x->u64[1] ^ y->u64[1]; +} + +static inline void +block16_xor_bytes (union nettle_block16 *r, + const union nettle_block16 *x, + const uint8_t *bytes) +{ + memxor3 (r->b, x->b, bytes, 16); +} + +static inline void +block8_xor (union nettle_block8 *r, + const union nettle_block8 *x) +{ + r->u64 ^= x->u64; +} + +static inline void +block8_xor3 (union nettle_block8 *r, + const union nettle_block8 *x, + const union nettle_block8 *y) +{ + r->u64 = x->u64 ^ y->u64; +} + +static inline void +block8_xor_bytes (union nettle_block8 *r, + const union nettle_block8 *x, + const uint8_t *bytes) +{ + memxor3 (r->b, x->b, bytes, 8); +} + +#endif /* NETTLE_BLOCK_INTERNAL_H_INCLUDED */ diff --git a/cmac.c b/cmac.c index 70ce8132d9d1..194324421c58 100644 --- a/cmac.c +++ b/cmac.c @@ -45,6 +45,7 @@ #include "memxor.h" #include "nettle-internal.h" #include "cmac-internal.h" +#include "block-internal.h" #include "macros.h" /* shift one and XOR with 0x87. */ @@ -119,12 +120,12 @@ cmac128_update(struct cmac128_ctx *ctx, const void *cipher, /* * now checksum everything but the last block */ - memxor3(Y.b, ctx->X.b, ctx->block.b, 16); + block16_xor3(&Y, &ctx->X, &ctx->block); encrypt(cipher, 16, ctx->X.b, Y.b); while (msg_len > 16) { - memxor3(Y.b, ctx->X.b, msg, 16); + block16_xor_bytes (&Y, &ctx->X, msg); encrypt(cipher, 16, ctx->X.b, Y.b); msg += 16; msg_len -= 16; @@ -151,14 +152,14 @@ cmac128_digest(struct cmac128_ctx *ctx, const struct cmac128_key *key, ctx->block.b[ctx->index] = 0x80; memset(ctx->block.b + ctx->index + 1, 0, 16 - 1 - ctx->index); - memxor(ctx->block.b, key->K2.b, 16); + block16_xor (&ctx->block, &key->K2); } else { - memxor(ctx->block.b, key->K1.b, 16); + block16_xor (&ctx->block, &key->K1); } - memxor3(Y.b, ctx->block.b, ctx->X.b, 16); + block16_xor3 (&Y, &ctx->block, &ctx->X); assert(length <= 16); if (length == 16) diff --git a/cmac64.c b/cmac64.c index 636635ba478b..e7bb438580d6 100644 --- a/cmac64.c +++ b/cmac64.c @@ -43,8 +43,8 @@ #include "cmac.h" -#include "memxor.h" #include "nettle-internal.h" +#include "block-internal.h" #include "macros.h" /* shift one and XOR with 0x87. */ @@ -119,12 +119,12 @@ cmac64_update(struct cmac64_ctx *ctx, const void *cipher, /* * now checksum everything but the last block */ - memxor3(Y.b, ctx->X.b, ctx->block.b, 8); + block8_xor3(&Y, &ctx->X, &ctx->block); encrypt(cipher, 8, ctx->X.b, Y.b); while (msg_len > 8) { - memxor3(Y.b, ctx->X.b, msg, 8); + block8_xor_bytes(&Y, &ctx->X, msg); encrypt(cipher, 8, ctx->X.b, Y.b); msg += 8; msg_len -= 8; @@ -151,14 +151,14 @@ cmac64_digest(struct cmac64_ctx *ctx, const struct cmac64_key *key, if (ctx->index < 8) { ctx->block.b[ctx->index] = 0x80; - memxor(ctx->block.b, key->K2.b, 8); + block8_xor(&ctx->block, &key->K2); } else { - memxor(ctx->block.b, key->K1.b, 8); + block8_xor(&ctx->block, &key->K1); } - memxor3(Y.b, ctx->block.b, ctx->X.b, 8); + block8_xor3(&Y, &ctx->block, &ctx->X); assert(length <= 8); if (length == 8) diff --git a/eax.c b/eax.c index 4b8b5117746e..63f3ff82fe65 100644 --- a/eax.c +++ b/eax.c @@ -40,6 +40,7 @@ #include "eax.h" +#include "block-internal.h" #include "ctr.h" #include "memxor.h" @@ -50,14 +51,6 @@ omac_init (union nettle_block16 *state, unsigned t) state->b[EAX_BLOCK_SIZE - 1] = t; } -/* Almost the same as gcm_gf_add */ -static void -block16_xor (union nettle_block16 *dst, const union nettle_block16 *src) -{ - dst->u64[0] ^= src->u64[0]; - dst->u64[1] ^= src->u64[1]; -} - static void omac_update (union nettle_block16 *state, const struct eax_key *key, const void *cipher, nettle_cipher_func *f, diff --git a/gcm.c b/gcm.c index 627097b24218..4a04a0a10842 100644 --- a/gcm.c +++ b/gcm.c @@ -53,16 +53,10 @@ #include "nettle-internal.h" #include "macros.h" #include "ctr-internal.h" +#include "block-internal.h" #define GHASH_POLYNOMIAL 0xE1UL -static void -gcm_gf_add (union nettle_block16 *r, - const union nettle_block16 *x, const union nettle_block16 *y) -{ - r->u64[0] = x->u64[0] ^ y->u64[0]; - r->u64[1] = x->u64[1] ^ y->u64[1]; -} /* Multiplication by 010...0; a big-endian shift right. If the bit shifted out is one, the defining polynomial is added to cancel it out. r == x is allowed. */ @@ -108,7 +102,7 @@ gcm_gf_mul (union nettle_block16 *x, const union nettle_block16 *y) for (j = 0; j < 8; j++, b <<= 1) { if (b & 0x80) - gcm_gf_add(&Z, &Z, &V); + block16_xor(&Z, &V); gcm_gf_shift(&V, &V); } @@ -165,9 +159,9 @@ gcm_gf_mul (union nettle_block16 *x, const union nettle_block16 *table) uint8_t b = x->b[i]; gcm_gf_shift_4(&Z); - gcm_gf_add(&Z, &Z, &table[b & 0xf]); + block16_xor(&Z, &table[b & 0xf]); gcm_gf_shift_4(&Z); - gcm_gf_add(&Z, &Z, &table[b >> 4]); + block16_xor(&Z, &table[b >> 4]); } memcpy (x->b, Z.b, sizeof(Z)); } @@ -243,10 +237,10 @@ gcm_gf_mul (union nettle_block16 *x, const union nettle_block16 *table) for (i = GCM_BLOCK_SIZE-2; i > 0; i--) { gcm_gf_shift_8(&Z); - gcm_gf_add(&Z, &Z, &table[x->b[i]]); + block16_xor(&Z, &table[x->b[i]]); } gcm_gf_shift_8(&Z); - gcm_gf_add(x, &Z, &table[x->b[0]]); + block16_xor3(x, &Z, &table[x->b[0]]); } # endif /* ! HAVE_NATIVE_gcm_hash8 */ # else /* GCM_TABLE_BITS != 8 */ @@ -286,7 +280,7 @@ gcm_set_key(struct gcm_key *key, { unsigned j; for (j = 1; j < i; j++) - gcm_gf_add(&key->h[i+j], &key->h[i],&key->h[j]); + block16_xor3(&key->h[i+j], &key->h[i],&key->h[j]); } #endif } diff --git a/siv-cmac.c b/siv-cmac.c index f498cb863f5a..42f740cddf5d 100644 --- a/siv-cmac.c +++ b/siv-cmac.c @@ -46,6 +46,7 @@ #include "memops.h" #include "cmac-internal.h" #include "nettle-internal.h" +#include "block-internal.h" /* This is an implementation of S2V for the AEAD case where * vectors if zero, are considered as S empty components */ @@ -69,12 +70,12 @@ _siv_s2v (const struct nettle_cipher *nc, _cmac128_block_mulx (&D, &D); cmac128_update (&cmac_ctx, cmac_cipher, nc->encrypt, alength, adata); cmac128_digest (&cmac_ctx, cmac_key, cmac_cipher, nc->encrypt, 16, S.b); - memxor (D.b, S.b, 16); + block16_xor (&D, &S); _cmac128_block_mulx (&D, &D); cmac128_update (&cmac_ctx, cmac_cipher, nc->encrypt, nlength, nonce); cmac128_digest (&cmac_ctx, cmac_key, cmac_cipher, nc->encrypt, 16, S.b); - memxor (D.b, S.b, 16); + block16_xor (&D, &S); /* Sn */ if (plength >= 16) @@ -83,7 +84,7 @@ _siv_s2v (const struct nettle_cipher *nc, pdata += plength - 16; - memxor3 (T.b, pdata, D.b, 16); + block16_xor_bytes (&T, &D, pdata); } else { @@ -95,7 +96,7 @@ _siv_s2v (const struct nettle_cipher *nc, if (plength + 1 < 16) memset (&pad.b[plength + 1], 0, 16 - plength - 1); - memxor (T.b, pad.b, 16); + block16_xor (&T, &pad); } cmac128_update (&cmac_ctx, cmac_cipher, nc->encrypt, 16, T.b); -- 2.23.0.rc1

3 6

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