nettle-bugs October 2019

nettle-bugs@lists.lysator.liu.se

10 participants
10 discussions

Curve point decompression
by Wim Lewis 11 Nov '21

11 Nov '21

I'm looking at implementing elliptic curve point compression a la SEC1 (admittedly, mostly to reduce the number of "feature not supported" code paths in a library, but it seems like a somewhat useful ability). Nettle/Hogweed already implements it internally for curve25519, but I want to implement it for the "secp" curves as well. Point compression is easy enough, but point decompression requires some curve math, potentially dependent on the specific curve, and some of it is redundant with what's already done in ecc_point_set(). So I was thinking about moving this functionality into Hogweed as a function along the lines of ecc_point_set_compressed(), which would take, instead of a y-coordinate, an int containing the sign/parity of the y-coordinate. So my question for the list and for the maintainers is, is this a reasonable API to add to Hogweed? Is there interest in including it in Hogweed if I were to take the time to turn it into a tidy patch?

3 10

[PATCH 1/6] Start separating GOST 28147-89 from GOST R 34.11-94
by Dmitry Eremin-Solenikov 20 Apr '20

20 Apr '20

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 | 4 +- gost28147.c | 342 +++++++++++++++++++++++++++++++++++++++++++++++++++ gost28147.h | 63 ++++++++++ gosthash94.c | 245 +----------------------------------- 4 files changed, 412 insertions(+), 242 deletions(-) create mode 100644 gost28147.c create mode 100644 gost28147.h diff --git a/Makefile.in b/Makefile.in index 537e97d19bea..795d66edb2c8 100644 --- a/Makefile.in +++ b/Makefile.in @@ -102,7 +102,7 @@ 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 \ @@ -195,7 +195,7 @@ 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 \ diff --git a/gost28147.c b/gost28147.c new file mode 100644 index 000000000000..c734c4365fa7 --- /dev/null +++ b/gost28147.c @@ -0,0 +1,342 @@ +/* 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" + +/* 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. + * 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*256 + (tmp & 0xff)] ^ (sbox)[1*256 + ((tmp >> 8) & 0xff)] ^ \ + (sbox)[2*256 + ((tmp >> 16) & 0xff)] ^ (sbox)[3*256 + (tmp >> 24)]; \ + tmp = (key2) + l; \ + r ^= (sbox)[0*256 + (tmp & 0xff)] ^ (sbox)[1*256 + ((tmp >> 8) & 0xff)] ^ \ + (sbox)[2*256 + ((tmp >> 16) & 0xff)] ^ (sbox)[3*256 + (tmp >> 24)]; + +/* encrypt a block with the given key */ +void gost28147_encrypt_simple (const uint32_t *key, const uint32_t *sbox, + const uint32_t *in, uint32_t *out) +{ + uint32_t l, r, tmp; + + r = in[0], l = in[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) + *out = l, *(out + 1) = r; +} diff --git a/gost28147.h b/gost28147.h new file mode 100644 index 000000000000..83d8915b9d38 --- /dev/null +++ b/gost28147.h @@ -0,0 +1,63 @@ +/* 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 + +/* Private */ +#define gost28147_encrypt_simple nettle_gost28147_encrypt_simple + +struct gost28147_param +{ + uint32_t sbox[4*256]; +}; + +extern const struct gost28147_param gost28147_param_test_3411; + +/* Internal interface for use by GOST R 34.11-94 */ +void gost28147_encrypt_simple (const uint32_t *key, const uint32_t *sbox, + const uint32_t *in, uint32_t *out); + +#ifdef __cplusplus +} +#endif + +#endif /* NETTLE_GOST28147_H_INCLUDED */ diff --git a/gosthash94.c b/gosthash94.c index e60c9ae5cddf..870235eefa34 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 +40,7 @@ #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" /** * Initialize algorithm context before calculating hash @@ -254,40 +54,6 @@ 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 +65,6 @@ 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 +106,7 @@ 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_simple (key, gost28147_param_test_3411.sbox, &ctx->hash[i], &s[i]); if (i == 0) { -- 2.20.1

2 8

[PATCH v2 0/6] Add meta interface for MAC algorithms
by Daiki Ueno 10 Feb '20

10 Feb '20

From: Daiki Ueno <dueno(a)redhat.com> The changes from the previous series are: - remove the global hmac_*_set_key_expanded functions - leave out set_nonce member if the operation is not supported For the latter, I was wondering whether it is better to define a no-op set_nonce, but given the fact that that the caller nevertheless checks nonce_size, I chose to make the field blank. Daiki Ueno (6): nettle-meta: Move struct nettle_mac to nettle-meta.h nettle-meta: Add meta interface for CMAC functions nettle-meta: Add meta interface for HMAC functions nettle-meta: Add meta interface for UMAC functions nettle-meta: Expose all defined MACs through nettle_macs tests: Add test for meta interface for MAC algorithms Makefile.in | 7 +++- cmac-aes128-meta.c | 43 ++++++++++++++++++++ cmac-aes256-meta.c | 43 ++++++++++++++++++++ hmac-md5-meta.c | 47 ++++++++++++++++++++++ hmac-ripemd160-meta.c | 47 ++++++++++++++++++++++ hmac-sha1-meta.c | 47 ++++++++++++++++++++++ hmac-sha224-meta.c | 47 ++++++++++++++++++++++ hmac-sha256-meta.c | 47 ++++++++++++++++++++++ hmac-sha384-meta.c | 47 ++++++++++++++++++++++ hmac-sha512-meta.c | 47 ++++++++++++++++++++++ nettle-meta-macs.c | 61 ++++++++++++++++++++++++++++ nettle-meta.h | 81 ++++++++++++++++++++++++++++++++++++++ testsuite/.gitignore | 1 + testsuite/.test-rules.make | 3 ++ testsuite/Makefile.in | 2 +- testsuite/cmac-test.c | 24 ----------- testsuite/meta-mac-test.c | 43 ++++++++++++++++++++ testsuite/testutils.h | 29 -------------- umac128-meta.c | 47 ++++++++++++++++++++++ umac32-meta.c | 47 ++++++++++++++++++++++ umac64-meta.c | 47 ++++++++++++++++++++++ umac96-meta.c | 47 ++++++++++++++++++++++ 22 files changed, 799 insertions(+), 55 deletions(-) create mode 100644 cmac-aes128-meta.c create mode 100644 cmac-aes256-meta.c create mode 100644 hmac-md5-meta.c create mode 100644 hmac-ripemd160-meta.c create mode 100644 hmac-sha1-meta.c create mode 100644 hmac-sha224-meta.c create mode 100644 hmac-sha256-meta.c create mode 100644 hmac-sha384-meta.c create mode 100644 hmac-sha512-meta.c create mode 100644 nettle-meta-macs.c create mode 100644 testsuite/meta-mac-test.c create mode 100644 umac128-meta.c create mode 100644 umac32-meta.c create mode 100644 umac64-meta.c create mode 100644 umac96-meta.c -- 2.21.0

3 18

[PATCH 0/8] Implement Curve448 ECDH and Ed448
by Daiki Ueno 03 Jan '20

03 Jan '20

Hello, This patch series implements the Curve448 Diffie-Hellman protocol (RFC 7748) and the Ed448 signature scheme (RFC 8032). Although I tried to make it as close as possible to the Curve25519 and Ed25519 implementations, I had to add a few special cases, namely: - for Curve448, eccdata directly calculates points on the Edwards curve instead of the equivalent Montgomery curve - untwisted versions of ecc_add_eh* and ecc_dup_eh are added - the point decoding for Ed448 uses a different formula to recover u and v Also, optimized implementation of modular reduction is currently missing, which is beyond my expertise. I would appreciate any suggestions regarding that. The patches are also available on: https://gitlab.com/dueno/nettle/commits/wip/dueno/ed448 Thanks to Hubert Kario and Nikos Mavrogiannopoulos for initial reviews. Daiki Ueno (8): ecc-mul-test: Fix mpn_cmp calls eccdata: Emit correct ecc_Bmodq_shifted for curve448 eccdata: Redirect ecc_point_out to given stream, instead of stderr ecc: Add add_hh and dup members to ecc_curve ecc-eh-to-a, eddsa-sign: Parameterize hard-coded value Implement curve448 primitives Implement SHAKE128/256 functions Implement Ed448 signature scheme .gitignore | 1 + Makefile.in | 18 +- curve448-eh-to-x.c | 73 + curve448-mul-g.c | 74 + curve448-mul.c | 148 + curve448.h | 58 + ecc-192.c | 5 + ecc-224.c | 5 + ecc-25519.c | 5 + ecc-256.c | 5 + ecc-384.c | 5 + ecc-448.c | 273 ++ ecc-521.c | 5 + ecc-add-eh.c | 74 +- ecc-add-ehh.c | 77 +- ecc-dup-eh.c | 55 +- ecc-eh-to-a.c | 4 +- ecc-internal.h | 57 +- ecc-mul-a-eh.c | 12 +- ecc-mul-g-eh.c | 4 +- ecc-point-mul-g.c | 7 +- ecc-point-mul.c | 2 +- ecc-point.c | 15 + eccdata.c | 183 +- ecdsa-keygen.c | 4 +- ed25519-sha512-sign.c | 15 + ed448-shake256-pubkey.c | 60 + ed448-shake256-sign.c | 92 + ed448-shake256-verify.c | 66 + eddsa-compress.c | 11 +- eddsa-decompress.c | 15 +- eddsa-expand.c | 20 +- eddsa-hash.c | 35 + eddsa-pubkey.c | 2 +- eddsa-sign.c | 18 +- eddsa-verify.c | 16 +- eddsa.h | 24 + examples/ecc-benchmark.c | 1 + nettle-internal.h | 2 +- nettle-meta-hashes.c | 2 + nettle-meta.h | 2 + nettle.texinfo | 152 +- sha3.c | 13 + sha3.h | 56 + shake128-meta.c | 42 + shake128.c | 84 + shake256-meta.c | 42 + shake256.c | 84 + testsuite/.test-rules.make | 12 + testsuite/Makefile.in | 5 +- testsuite/curve448-dh-test.c | 100 + testsuite/ecc-add-test.c | 48 +- testsuite/ecc-dup-test.c | 12 +- testsuite/ecc-mul-a-test.c | 6 +- testsuite/ecc-mul-g-test.c | 6 +- testsuite/ecdh-test.c | 16 +- testsuite/ecdsa-keygen-test.c | 16 + testsuite/ed448-test.c | 240 ++ testsuite/eddsa-compress-test.c | 137 +- testsuite/eddsa-sign-test.c | 66 +- testsuite/eddsa-verify-test.c | 49 +- testsuite/meta-hash-test.c | 2 + testsuite/shake.awk | 14 + testsuite/shake128-test.c | 6183 +++++++++++++++++++++++++++++++++++++++ testsuite/shake256-test.c | 6183 +++++++++++++++++++++++++++++++++++++++ testsuite/testutils.c | 57 +- 66 files changed, 14976 insertions(+), 199 deletions(-) create mode 100644 curve448-eh-to-x.c create mode 100644 curve448-mul-g.c create mode 100644 curve448-mul.c create mode 100644 curve448.h create mode 100644 ecc-448.c create mode 100644 ed448-shake256-pubkey.c create mode 100644 ed448-shake256-sign.c create mode 100644 ed448-shake256-verify.c create mode 100644 shake128-meta.c create mode 100644 shake128.c create mode 100644 shake256-meta.c create mode 100644 shake256.c create mode 100644 testsuite/curve448-dh-test.c create mode 100644 testsuite/ed448-test.c create mode 100755 testsuite/shake.awk create mode 100644 testsuite/shake128-test.c create mode 100644 testsuite/shake256-test.c -- 2.13.3

2 35

Nettle ECC code question
by Dmitry Eremin-Solenikov 01 Nov '19

01 Nov '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 30 Oct '19

30 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 24 Oct '19

24 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, 0x35cc54060c763cf6ULL, + 0x42907d66cc45db2dULL, 0x8203d44b965af4bcULL, + 0x3d6f3cefc3a0e868ULL, 0xbc73ff69d292bda7ULL, + 0x8722ed0102e20a29ULL, 0x8f8185e8cd34deb7ULL, + 0x9b0561dda7ee01d9ULL, 0x5335a0193227fad6ULL, + 0xc9cecc74e81a6fd5ULL, 0x54f5832e5c2431eaULL, + 0x99e47ba05d553470ULL, 0xf7bee756acd226ceULL, + 0x384e05a5571816fdULL, 0xd1367452a47d0e6aULL, + 0xf29fde1c386ad85bULL, 0x320c77316275f7caULL, + 0xd0c879e2d9ae9ab0ULL, 0xdb7406c69110ef5dULL, + 0x45505e51a2461011ULL, 0xfc029872e46c5323ULL, + 0xfa3cb6f5f7bc0cc5ULL, 0x031f17cd8768a173ULL, + 0xbd8df2d9af41297dULL, 0x9d3b4f5ab43e5e3fULL, + 0x4071671b36feee84ULL, 0x716207e7d3e3b83dULL, + 0x48d20ff2f9283a1aULL, 0x27769eb4757cbc7eULL, + 0x5c56ebc793f2e574ULL, 0xa48b474f9ef5dc18ULL, + 0x52cbada94ff46e0cULL, 0x60c7da982d8199c6ULL, + 0x0e9d466edc068b78ULL, 0x4eec2175eaf865fcULL, + 0x550b8e9e21f7a530ULL, 0x6b7ba5bc653fec2bULL, + 0x5eb7f1ba6949d0ddULL, 0x57ea94e3db4c9099ULL, + 0xf640eae6d101b214ULL, 0xdd4a284182c0b0bbULL, + 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, 0x79c16f0e1c356ca3ULL, + 0x89bfab6fdee48151ULL, 0xd4174d1830c5f0ffULL, + 0x9258048415eb419dULL, 0x6139d72850520d1cULL, + 0x6a85a80c18ec78f1ULL, 0xcd11f88e0171059aULL, + 0xcceff53e7ca29140ULL, 0xd229639f2315af19ULL, + 0x90b91ef9ef507434ULL, 0x5977d28d074a1be1ULL, + 0x311360fce51d56b9ULL, 0xc093a92d5a1f2f91ULL, + 0x1a19a25bb6dc5416ULL, 0xeb996b8a09de2d3eULL, + 0xfee3820f1ed7668aULL, 0xd7085ad5b7ad518cULL, + 0x7fff41890fe53345ULL, 0xec5948bd67dde602ULL, + 0x2fd5f65dbaaa68e0ULL, 0xa5754affe32648c2ULL, + 0xf8ddac880d07396cULL, 0x6fa491468c548664ULL, + 0x0c7c5c1326bdbed1ULL, 0x4a33158f03930fb3ULL, + 0x699abfc19f84d982ULL, 0xe4fa2054a80b329cULL, + 0x6707f9af438252faULL, 0x08a368e9cfd6d49eULL, + 0x47b1442c58fd25b8ULL, 0xbbb3dc5ebc91769bULL, + 0x1665fe489061eac7ULL, 0x33f27a811fa66310ULL, + 0x93a609346838d547ULL, 0x30ed6d4c98cec263ULL, + 0x1dd9816cd8df9f2aULL, 0x94662a03063b1e7bULL, + 0x83fdd9fbeb896066ULL, 0x7b207573e68e590aULL, + 0x5f49fc0a149a4407ULL, 0x343259b671a5a82cULL, + 0xfbc2bb458a6f981fULL, 0xc272b350a0a41a38ULL, + 0x3aaf1fd8ada32354ULL, 0x6cbb868b0b3c2717ULL, + 0xa2b569c88d2583feULL, 0xf180c9d1bf027928ULL, + 0xaf37386bd64ba9f5ULL, 0x12bacab2790a8088ULL, + 0x4c0d3b0810435055ULL, 0xb2eeb9070e9436dfULL, + 0xc5b29067cea7d104ULL, 0xdcb425f1ff132461ULL, + 0x4f122cc5972bf126ULL, 0xac282fa651230886ULL, + 0xe7e537992f6393efULL, 0xe61b3a2952b00735ULL, + 0x709c0a57ae302ce7ULL, 0xe02514ae416058d3ULL, + 0xc44c9dd7b37445deULL, 0x5a68c5408022ba92ULL, + 0x1c278cdca50c0bf0ULL, 0x6e5a9cf6f18712beULL, + 0x86dce0b17f319ef3ULL, 0x2d34ec2040115d49ULL, + 0x4bcd183f7e409b69ULL, 0x2815d56ad4a9a3dcULL, + 0x24698979f2141d0dULL, 0x0000000000000000ULL, + 0x1ec696a15fb73e59ULL, 0xd86b110b16784e2eULL, + 0x8e7f8858b0e74a6dULL, 0x063e2e8713d05fe6ULL, + 0xe2c40ed3bbdb6d7aULL, 0xb1f1aeca89fc97acULL, + 0xe1db191e3cb3cc09ULL, 0x6418ee62c4eaf389ULL, + 0xc6ad87aa49cf7077ULL, 0xd6f65765ca7ec556ULL, + 0x9afb6c6dda3d9503ULL, 0x7ce05644888d9236ULL, + 0x8d609f95378feb1eULL, 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, 0x4df1600c92337a16ULL, + 0x84e503ea523b12fbULL, 0x0790bbfd53ab0c4aULL, + 0x198a780f38f6ea9dULL, 0x2ab30c8f55ec48cbULL, + 0xe0f7fed6b2c49db5ULL, 0xb6ecf3f422cadbdcULL, + 0x409c9a541358df11ULL, 0xd3ce8a56dfde3fe3ULL, + 0xc3e9224312c8c1a0ULL, 0x0d6dfa58816ba507ULL, + 0xddf3e1b179952777ULL, 0x04c02a42748bb1d9ULL, + 0x94c2abff9f2decb8ULL, 0x4f91752da8f8acf4ULL, + 0x78682befb169bf7bULL, 0xe1c77a48af2ff6c4ULL, + 0x0c5d7ec69c80ce76ULL, 0x4cc1e4928fd81167ULL, + 0xfeed3d24d9997b62ULL, 0x518bb6dfc3a54a23ULL, + 0x6dbf2d26151f9b90ULL, 0xb5bc624b05ea664fULL, + 0xe86aaa525acfe21aULL, 0x4801ced0fb53a0beULL, + 0xc91463e6c00868edULL, 0x1027a815cd16fe43ULL, + 0xf67069a0319204cdULL, 0xb04ccc976c8abce7ULL, + 0xc0b9b3fc35e87c33ULL, 0xf380c77c58f2de65ULL, + 0x50bb3241de4e2152ULL, 0xdf93f490435ef195ULL, + 0xf1e0d25d62390887ULL, 0xaf668bfb1a3c3141ULL, + 0xbc11b251f00a7291ULL, 0x73a5eed47e427d47ULL, + 0x25bee3f6ee4c3b2eULL, 0x43cc0beb34786282ULL, + 0xc824e778dde3039cULL, 0xf97d86d98a327728ULL, + 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

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[PATCH] cfb8: don't truncate output IV if input is shorter than block size
by Daiki Ueno 02 Oct '19

02 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

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nettle-bugs October 2019