一文读懂TigerHash
感觉自己鸽了好久的文章了，好久也没写过具体的密码学算法了，然后本文主要是来聊一聊TigerHash的算法实现过程，再来水一篇文章，溜了溜了。
算法介绍
「TigerHash」是一个可以处理512分块然后输出192bit哈希值的函数，是由Ross Anderson和Eli Biham在1995年设计出来运行在64位平台上的。
算法过程
因为这个是基于64位平台上来设计的，因此呢对于使用到的state均为64位的，通过最终输出192bit我们可以推断出来这里需要用到3个64位的变量。
初始值
对于TigerHash算法，他的初始值如下:
A = 0x0123456789abcdef
B = 0xfedcba9876543210
C = 0xf096a5b4c3b2e187
压缩函数
整个TigerHash的压缩算法过程如下，其实主要就是pass 函数和 key_schedule函数的交替使用，对于具体的这两个函数的算法在下文在下文当中介绍。
pass函数
def _pass(a, b, c, x, mul):
a, b, c = _round(a, b, c, x[0], mul)
b, c, a = _round(b, c, a, x[1], mul)
c, a, b = _round(c, a, b, x[2], mul)
a, b, c = _round(a, b, c, x[3], mul)
b, c, a = _round(b, c, a, x[4], mul)
c, a, b = _round(c, a, b, x[5], mul)
a, b, c = _round(a, b, c, x[6], mul)
b, c, a = _round(b, c, a, x[7], mul)
return a, b, c
round函数
具体的round函数如下图所示
def _round(a, b, c, x, mul):
c ^= x
c &= 0xffffffffffffffff
a -= T1[(c >> (0 * 8)) & 0xFF] ^
T2[(c >> (2 * 8)) & 0xFF] ^
T3[(c >> (4 * 8)) & 0xFF] ^
T4[(c >> (6 * 8)) & 0xFF]
b += T4[(c >> (1 * 8)) & 0xFF] ^
T3[(c >> (3 * 8)) & 0xFF] ^
T2[(c >> (5 * 8)) & 0xFF] ^
T1[(c >> (7 * 8)) & 0xFF]
b *= mul
a &= 0xffffffffffffffff
b &= 0xffffffffffffffff
c &= 0xffffffffffffffff
return a, b, c
key_schedule函数
def _key_schedule(x):
x[0] = (x[0] - (x[7] ^ 0xA5A5A5A5A5A5A5A5) & MASK_64) & MASK_64
x[1] ^= x[0]
x[2] = (x[2] + x[1]) & MASK_64
x[3] = (x[3] - (x[2] ^ (~x[1] & MASK_64) << 19) & MASK_64) & MASK_64
x[4] ^= x[3]
x[5] = (x[5] + x[4]) & MASK_64
x[6] = (x[6] - (x[5] ^ (~x[4] & MASK_64) >> 23) & MASK_64) & MASK_64
x[7] ^= x[6]
x[0] = (x[0] + x[7]) & MASK_64
x[1] = (x[1] - (x[0] ^ (~x[7] & MASK_64) << 19) & MASK_64) & MASK_64
x[2] ^= x[1]
x[3] = (x[3] + x[2]) & MASK_64
x[4] = (x[4] - (x[3] ^ (~x[2] & MASK_64) >> 23) & MASK_64) & MASK_64
x[5] ^= x[4]
x[6] = (x[6] + x[5]) & MASK_64
x[7] = (x[7] - (x[6] ^ 0x0123456789ABCDEF) & MASK_64) & MASK_64
有了上面这些介绍，理解整个算法的结构应该就不难了。
代码实现
听取读者们的建议，因为发现好多读者有用Python来实现加密算法的诉求，因此呢这个算法我给一个python的版本吧，虽然我是对Python当中的位运算感到相当的难受的，但是毕竟有读者的诉求，这里作为我鸽了这么久的补偿，给出一个Python的实现，因为我在原始的TigerHash当中的论文里面并没有找到有关padding的描述，因此，对于padding的处理我是参考了一下github上大佬们开源的代码。
Python实现
import io
import struct
from typing import List
# region S_BOX
from utils import MASK_64
T1 = [
0x02AAB17CF7E90C5E, 0xAC424B03E243A8EC,
0x72CD5BE30DD5FCD3, 0x6D019B93F6F97F3A,
0xCD9978FFD21F9193, 0x7573A1C9708029E2,
0xB164326B922A83C3, 0x46883EEE04915870,
0xEAACE3057103ECE6, 0xC54169B808A3535C,
0x4CE754918DDEC47C, 0x0AA2F4DFDC0DF40C,
0x10B76F18A74DBEFA, 0xC6CCB6235AD1AB6A,
0x13726121572FE2FF, 0x1A488C6F199D921E,
0x4BC9F9F4DA0007CA, 0x26F5E6F6E85241C7,
0x859079DBEA5947B6, 0x4F1885C5C99E8C92,
0xD78E761EA96F864B, 0x8E36428C52B5C17D,
0x69CF6827373063C1, 0xB607C93D9BB4C56E,
0x7D820E760E76B5EA, 0x645C9CC6F07FDC42,
0xBF38A078243342E0, 0x5F6B343C9D2E7D04,
0xF2C28AEB600B0EC6, 0x6C0ED85F7254BCAC,
0x71592281A4DB4FE5, 0x1967FA69CE0FED9F,
0xFD5293F8B96545DB, 0xC879E9D7F2A7600B,
0x860248920193194E, 0xA4F9533B2D9CC0B3,
0x9053836C15957613, 0xDB6DCF8AFC357BF1,
0x18BEEA7A7A370F57, 0x037117CA50B99066,
0x6AB30A9774424A35, 0xF4E92F02E325249B,
0x7739DB07061CCAE1, 0xD8F3B49CECA42A05,
0xBD56BE3F51382F73, 0x45FAED5843B0BB28,
0x1C813D5C11BF1F83, 0x8AF0E4B6D75FA169,
0x33EE18A487AD9999, 0x3C26E8EAB1C94410,
0xB510102BC0A822F9, 0x141EEF310CE6123B,
0xFC65B90059DDB154, 0xE0158640C5E0E607,
0x884E079826C3A3CF, 0x930D0D9523C535FD,
0x35638D754E9A2B00, 0x4085FCCF40469DD5,
0xC4B17AD28BE23A4C, 0xCAB2F0FC6A3E6A2E,
0x2860971A6B943FCD, 0x3DDE6EE212E30446,
0x6222F32AE01765AE, 0x5D550BB5478308FE,
0xA9EFA98DA0EDA22A, 0xC351A71686C40DA7,
0x1105586D9C867C84, 0xDCFFEE85FDA22853,
0xCCFBD0262C5EEF76, 0xBAF294CB8990D201,
0xE69464F52AFAD975, 0x94B013AFDF133E14,
0x06A7D1A32823C958, 0x6F95FE5130F61119,
0xD92AB34E462C06C0, 0xED7BDE33887C71D2,
0x79746D6E6518393E, 0x5BA419385D713329,
0x7C1BA6B948A97564, 0x31987C197BFDAC67,
0xDE6C23C44B053D02, 0x581C49FED002D64D,
0xDD474D6338261571, 0xAA4546C3E473D062,
0x928FCE349455F860, 0x48161BBACAAB94D9,
0x63912430770E6F68, 0x6EC8A5E602C6641C,
0x87282515337DDD2B, 0x2CDA6B42034B701B,
0xB03D37C181CB096D, 0xE108438266C71C6F,
0x2B3180C7EB51B255, 0xDF92B82F96C08BBC,
0x5C68C8C0A632F3BA, 0x5504CC861C3D0556,
0xABBFA4E55FB26B8F, 0x41848B0AB3BACEB4,
0xB334A273AA445D32, 0xBCA696F0A85AD881,
0x24F6EC65B528D56C, 0x0CE1512E90F4524A,
0x4E9DD79D5506D35A, 0x258905FAC6CE9779,
0x2019295B3E109B33, 0xF8A9478B73A054CC,
0x2924F2F934417EB0, 0x3993357D536D1BC4,
0x38A81AC21DB6FF8B, 0x47C4FBF17D6016BF,
0x1E0FAADD7667E3F5, 0x7ABCFF62938BEB96,
0xA78DAD948FC179C9, 0x8F1F98B72911E50D,
0x61E48EAE27121A91, 0x4D62F7AD31859808,
0xECEBA345EF5CEAEB, 0xF5CEB25EBC9684CE,
0xF633E20CB7F76221, 0xA32CDF06AB8293E4,
0x985A202CA5EE2CA4, 0xCF0B8447CC8A8FB1,
0x9F765244979859A3, 0xA8D516B1A1240017,
0x0BD7BA3EBB5DC726, 0xE54BCA55B86ADB39,
0x1D7A3AFD6C478063, 0x519EC608E7669EDD,
0x0E5715A2D149AA23, 0x177D4571848FF194,
0xEEB55F3241014C22, 0x0F5E5CA13A6E2EC2,
0x8029927B75F5C361, 0xAD139FABC3D6E436,
0x0D5DF1A94CCF402F, 0x3E8BD948BEA5DFC8,
0xA5A0D357BD3FF77E, 0xA2D12E251F74F645,
0x66FD9E525E81A082, 0x2E0C90CE7F687A49,
0xC2E8BCBEBA973BC5, 0x000001BCE509745F,
0x423777BBE6DAB3D6, 0xD1661C7EAEF06EB5,
0xA1781F354DAACFD8, 0x2D11284A2B16AFFC,
0xF1FC4F67FA891D1F, 0x73ECC25DCB920ADA,
0xAE610C22C2A12651, 0x96E0A810D356B78A,
0x5A9A381F2FE7870F, 0xD5AD62EDE94E5530,
0xD225E5E8368D1427, 0x65977B70C7AF4631,
0x99F889B2DE39D74F, 0x233F30BF54E1D143,
0x9A9675D3D9A63C97, 0x5470554FF334F9A8,
0x166ACB744A4F5688, 0x70C74CAAB2E4AEAD,
0xF0D091646F294D12, 0x57B82A89684031D1,
0xEFD95A5A61BE0B6B, 0x2FBD12E969F2F29A,
0x9BD37013FEFF9FE8, 0x3F9B0404D6085A06,
0x4940C1F3166CFE15, 0x09542C4DCDF3DEFB,
0xB4C5218385CD5CE3, 0xC935B7DC4462A641,
0x3417F8A68ED3B63F, 0xB80959295B215B40,
0xF99CDAEF3B8C8572, 0x018C0614F8FCB95D,
0x1B14ACCD1A3ACDF3, 0x84D471F200BB732D,
0xC1A3110E95E8DA16, 0x430A7220BF1A82B8,
0xB77E090D39DF210E, 0x5EF4BD9F3CD05E9D,
0x9D4FF6DA7E57A444, 0xDA1D60E183D4A5F8,
0xB287C38417998E47, 0xFE3EDC121BB31886,
0xC7FE3CCC980CCBEF, 0xE46FB590189BFD03,
0x3732FD469A4C57DC, 0x7EF700A07CF1AD65,
0x59C64468A31D8859, 0x762FB0B4D45B61F6,
0x155BAED099047718, 0x68755E4C3D50BAA6,
0xE9214E7F22D8B4DF, 0x2ADDBF532EAC95F4,
0x32AE3909B4BD0109, 0x834DF537B08E3450,
0xFA209DA84220728D, 0x9E691D9B9EFE23F7,
0x0446D288C4AE8D7F, 0x7B4CC524E169785B,
0x21D87F0135CA1385, 0xCEBB400F137B8AA5,
0x272E2B66580796BE, 0x3612264125C2B0DE,
0x057702BDAD1EFBB2, 0xD4BABB8EACF84BE9,
0x91583139641BC67B, 0x8BDC2DE08036E024,
0x603C8156F49F68ED, 0xF7D236F7DBEF5111,
0x9727C4598AD21E80, 0xA08A0896670A5FD7,
0xCB4A8F4309EBA9CB, 0x81AF564B0F7036A1,
0xC0B99AA778199ABD, 0x959F1EC83FC8E952,
0x8C505077794A81B9, 0x3ACAAF8F056338F0,
0x07B43F50627A6778, 0x4A44AB49F5ECCC77,
0x3BC3D6E4B679EE98, 0x9CC0D4D1CF14108C,
0x4406C00B206BC8A0, 0x82A18854C8D72D89,
0x67E366B35C3C432C, 0xB923DD61102B37F2,
0x56AB2779D884271D, 0xBE83E1B0FF1525AF,
0xFB7C65D4217E49A9, 0x6BDBE0E76D48E7D4,
0x08DF828745D9179E, 0x22EA6A9ADD53BD34,
0xE36E141C5622200A, 0x7F805D1B8CB750EE,
0xAFE5C7A59F58E837, 0xE27F996A4FB1C23C,
0xD3867DFB0775F0D0, 0xD0E673DE6E88891A,
0x123AEB9EAFB86C25, 0x30F1D5D5C145B895,
0xBB434A2DEE7269E7, 0x78CB67ECF931FA38,
0xF33B0372323BBF9C, 0x52D66336FB279C74,
0x505F33AC0AFB4EAA, 0xE8A5CD99A2CCE187,
0x534974801E2D30BB, 0x8D2D5711D5876D90,
0x1F1A412891BC038E, 0xD6E2E71D82E56648,
0x74036C3A497732B7, 0x89B67ED96361F5AB,
0xFFED95D8F1EA02A2, 0xE72B3BD61464D43D,
0xA6300F170BDC4820, 0xEBC18760ED78A77A
]
T2 = [
0xE6A6BE5A05A12138, 0xB5A122A5B4F87C98,
0x563C6089140B6990, 0x4C46CB2E391F5DD5,
0xD932ADDBC9B79434, 0x08EA70E42015AFF5,
0xD765A6673E478CF1, 0xC4FB757EAB278D99,
0xDF11C6862D6E0692, 0xDDEB84F10D7F3B16,
0x6F2EF604A665EA04, 0x4A8E0F0FF0E0DFB3,
0xA5EDEEF83DBCBA51, 0xFC4F0A2A0EA4371E,
0xE83E1DA85CB38429, 0xDC8FF882BA1B1CE2,
0xCD45505E8353E80D, 0x18D19A00D4DB0717,
0x34A0CFEDA5F38101, 0x0BE77E518887CAF2,
0x1E341438B3C45136, 0xE05797F49089CCF9,
0xFFD23F9DF2591D14, 0x543DDA228595C5CD,
0x661F81FD99052A33, 0x8736E641DB0F7B76,
0x15227725418E5307, 0xE25F7F46162EB2FA,
0x48A8B2126C13D9FE, 0xAFDC541792E76EEA,
0x03D912BFC6D1898F, 0x31B1AAFA1B83F51B,
0xF1AC2796E42AB7D9, 0x40A3A7D7FCD2EBAC,
0x1056136D0AFBBCC5, 0x7889E1DD9A6D0C85,
0xD33525782A7974AA, 0xA7E25D09078AC09B,
0xBD4138B3EAC6EDD0, 0x920ABFBE71EB9E70,
0xA2A5D0F54FC2625C, 0xC054E36B0B1290A3,
0xF6DD59FF62FE932B, 0x3537354511A8AC7D,
0xCA845E9172FADCD4, 0x84F82B60329D20DC,
0x79C62CE1CD672F18, 0x8B09A2ADD124642C,
0xD0C1E96A19D9E726, 0x5A786A9B4BA9500C,
0x0E020336634C43F3, 0xC17B474AEB66D822,
0x6A731AE3EC9BAAC2, 0x8226667AE0840258,
0x67D4567691CAECA5, 0x1D94155C4875ADB5,
0x6D00FD985B813FDF, 0x51286EFCB774CD06,
0x5E8834471FA744AF, 0xF72CA0AEE761AE2E,
0xBE40E4CDAEE8E09A, 0xE9970BBB5118F665,
0x726E4BEB33DF1964, 0x703B000729199762,
0x4631D816F5EF30A7, 0xB880B5B51504A6BE,
0x641793C37ED84B6C, 0x7B21ED77F6E97D96,
0x776306312EF96B73, 0xAE528948E86FF3F4,
0x53DBD7F286A3F8F8, 0x16CADCE74CFC1063,
0x005C19BDFA52C6DD, 0x68868F5D64D46AD3,
0x3A9D512CCF1E186A, 0x367E62C2385660AE,
0xE359E7EA77DCB1D7, 0x526C0773749ABE6E,
0x735AE5F9D09F734B, 0x493FC7CC8A558BA8,
0xB0B9C1533041AB45, 0x321958BA470A59BD,
0x852DB00B5F46C393, 0x91209B2BD336B0E5,
0x6E604F7D659EF19F, 0xB99A8AE2782CCB24,
0xCCF52AB6C814C4C7, 0x4727D9AFBE11727B,
0x7E950D0C0121B34D, 0x756F435670AD471F,
0xF5ADD442615A6849, 0x4E87E09980B9957A,
0x2ACFA1DF50AEE355, 0xD898263AFD2FD556,
0xC8F4924DD80C8FD6, 0xCF99CA3D754A173A,
0xFE477BACAF91BF3C, 0xED5371F6D690C12D,
0x831A5C285E687094, 0xC5D3C90A3708A0A4,
0x0F7F903717D06580, 0x19F9BB13B8FDF27F,
0xB1BD6F1B4D502843, 0x1C761BA38FFF4012,
0x0D1530C4E2E21F3B, 0x8943CE69A7372C8A,
0xE5184E11FEB5CE66, 0x618BDB80BD736621,
0x7D29BAD68B574D0B, 0x81BB613E25E6FE5B,
0x071C9C10BC07913F, 0xC7BEEB7909AC2D97,
0xC3E58D353BC5D757, 0xEB017892F38F61E8,
0xD4EFFB9C9B1CC21A, 0x99727D26F494F7AB,
0xA3E063A2956B3E03, 0x9D4A8B9A4AA09C30,
0x3F6AB7D500090FB4, 0x9CC0F2A057268AC0,
0x3DEE9D2DEDBF42D1, 0x330F49C87960A972,
0xC6B2720287421B41, 0x0AC59EC07C00369C,
0xEF4EAC49CB353425, 0xF450244EEF0129D8,
0x8ACC46E5CAF4DEB6, 0x2FFEAB63989263F7,
0x8F7CB9FE5D7A4578, 0x5BD8F7644E634635,
0x427A7315BF2DC900, 0x17D0C4AA2125261C,
0x3992486C93518E50, 0xB4CBFEE0A2D7D4C3,
0x7C75D6202C5DDD8D, 0xDBC295D8E35B6C61,
0x60B369D302032B19, 0xCE42685FDCE44132,
0x06F3DDB9DDF65610, 0x8EA4D21DB5E148F0,
0x20B0FCE62FCD496F, 0x2C1B912358B0EE31,
0xB28317B818F5A308, 0xA89C1E189CA6D2CF,
0x0C6B18576AAADBC8, 0xB65DEAA91299FAE3,
0xFB2B794B7F1027E7, 0x04E4317F443B5BEB,
0x4B852D325939D0A6, 0xD5AE6BEEFB207FFC,
0x309682B281C7D374, 0xBAE309A194C3B475,
0x8CC3F97B13B49F05, 0x98A9422FF8293967,
0x244B16B01076FF7C, 0xF8BF571C663D67EE,
0x1F0D6758EEE30DA1, 0xC9B611D97ADEB9B7,
0xB7AFD5887B6C57A2, 0x6290AE846B984FE1,
0x94DF4CDEACC1A5FD, 0x058A5BD1C5483AFF,
0x63166CC142BA3C37, 0x8DB8526EB2F76F40,
0xE10880036F0D6D4E, 0x9E0523C9971D311D,
0x45EC2824CC7CD691, 0x575B8359E62382C9,
0xFA9E400DC4889995, 0xD1823ECB45721568,
0xDAFD983B8206082F, 0xAA7D29082386A8CB,
0x269FCD4403B87588, 0x1B91F5F728BDD1E0,
0xE4669F39040201F6, 0x7A1D7C218CF04ADE,
0x65623C29D79CE5CE, 0x2368449096C00BB1,
0xAB9BF1879DA503BA, 0xBC23ECB1A458058E,
0x9A58DF01BB401ECC, 0xA070E868A85F143D,
0x4FF188307DF2239E, 0x14D565B41A641183,
0xEE13337452701602, 0x950E3DCF3F285E09,
0x59930254B9C80953, 0x3BF299408930DA6D,
0xA955943F53691387, 0xA15EDECAA9CB8784,
0x29142127352BE9A0, 0x76F0371FFF4E7AFB,
0x0239F450274F2228, 0xBB073AF01D5E868B,
0xBFC80571C10E96C1, 0xD267088568222E23,
0x9671A3D48E80B5B0, 0x55B5D38AE193BB81,
0x693AE2D0A18B04B8, 0x5C48B4ECADD5335F,
0xFD743B194916A1CA, 0x2577018134BE98C4,
0xE77987E83C54A4AD, 0x28E11014DA33E1B9,
0x270CC59E226AA213, 0x71495F756D1A5F60,
0x9BE853FB60AFEF77, 0xADC786A7F7443DBF,
0x0904456173B29A82, 0x58BC7A66C232BD5E,
0xF306558C673AC8B2, 0x41F639C6B6C9772A,
0x216DEFE99FDA35DA, 0x11640CC71C7BE615,
0x93C43694565C5527, 0xEA038E6246777839,
0xF9ABF3CE5A3E2469, 0x741E768D0FD312D2,
0x0144B883CED652C6, 0xC20B5A5BA33F8552,
0x1AE69633C3435A9D, 0x97A28CA4088CFDEC,
0x8824A43C1E96F420, 0x37612FA66EEEA746,
0x6B4CB165F9CF0E5A, 0x43AA1C06A0ABFB4A,
0x7F4DC26FF162796B, 0x6CBACC8E54ED9B0F,
0xA6B7FFEFD2BB253E, 0x2E25BC95B0A29D4F,
0x86D6A58BDEF1388C, 0xDED74AC576B6F054,
0x8030BDBC2B45805D, 0x3C81AF70E94D9289,
0x3EFF6DDA9E3100DB, 0xB38DC39FDFCC8847,
0x123885528D17B87E, 0xF2DA0ED240B1B642,
0x44CEFADCD54BF9A9, 0x1312200E433C7EE6,
0x9FFCC84F3A78C748, 0xF0CD1F72248576BB,
0xEC6974053638CFE4, 0x2BA7B67C0CEC4E4C,
0xAC2F4DF3E5CE32ED, 0xCB33D14326EA4C11,
0xA4E9044CC77E58BC, 0x5F513293D934FCEF,
0x5DC9645506E55444, 0x50DE418F317DE40A,
0x388CB31A69DDE259, 0x2DB4A83455820A86,
0x9010A91E84711AE9, 0x4DF7F0B7B1498371,
0xD62A2EABC0977179, 0x22FAC097AA8D5C0E
]
T3 = [
0xF49FCC2FF1DAF39B, 0x487FD5C66FF29281,
0xE8A30667FCDCA83F, 0x2C9B4BE3D2FCCE63,
0xDA3FF74B93FBBBC2, 0x2FA165D2FE70BA66,
0xA103E279970E93D4, 0xBECDEC77B0E45E71,
0xCFB41E723985E497, 0xB70AAA025EF75017,
0xD42309F03840B8E0, 0x8EFC1AD035898579,
0x96C6920BE2B2ABC5, 0x66AF4163375A9172,
0x2174ABDCCA7127FB, 0xB33CCEA64A72FF41,
0xF04A4933083066A5, 0x8D970ACDD7289AF5,
0x8F96E8E031C8C25E, 0xF3FEC02276875D47,
0xEC7BF310056190DD, 0xF5ADB0AEBB0F1491,
0x9B50F8850FD58892, 0x4975488358B74DE8,
0xA3354FF691531C61, 0x0702BBE481D2C6EE,
0x89FB24057DEDED98, 0xAC3075138596E902,
0x1D2D3580172772ED, 0xEB738FC28E6BC30D,
0x5854EF8F63044326, 0x9E5C52325ADD3BBE,
0x90AA53CF325C4623, 0xC1D24D51349DD067,
0x2051CFEEA69EA624, 0x13220F0A862E7E4F,
0xCE39399404E04864, 0xD9C42CA47086FCB7,
0x685AD2238A03E7CC, 0x066484B2AB2FF1DB,
0xFE9D5D70EFBF79EC, 0x5B13B9DD9C481854,
0x15F0D475ED1509AD, 0x0BEBCD060EC79851,
0xD58C6791183AB7F8, 0xD1187C5052F3EEE4,
0xC95D1192E54E82FF, 0x86EEA14CB9AC6CA2,
0x3485BEB153677D5D, 0xDD191D781F8C492A,
0xF60866BAA784EBF9, 0x518F643BA2D08C74,
0x8852E956E1087C22, 0xA768CB8DC410AE8D,
0x38047726BFEC8E1A, 0xA67738B4CD3B45AA,
0xAD16691CEC0DDE19, 0xC6D4319380462E07,
0xC5A5876D0BA61938, 0x16B9FA1FA58FD840,
0x188AB1173CA74F18, 0xABDA2F98C99C021F,
0x3E0580AB134AE816, 0x5F3B05B773645ABB,
0x2501A2BE5575F2F6, 0x1B2F74004E7E8BA9,
0x1CD7580371E8D953, 0x7F6ED89562764E30,
0xB15926FF596F003D, 0x9F65293DA8C5D6B9,
0x6ECEF04DD690F84C, 0x4782275FFF33AF88,
0xE41433083F820801, 0xFD0DFE409A1AF9B5,
0x4325A3342CDB396B, 0x8AE77E62B301B252,
0xC36F9E9F6655615A, 0x85455A2D92D32C09,
0xF2C7DEA949477485, 0x63CFB4C133A39EBA,
0x83B040CC6EBC5462, 0x3B9454C8FDB326B0,
0x56F56A9E87FFD78C, 0x2DC2940D99F42BC6,
0x98F7DF096B096E2D, 0x19A6E01E3AD852BF,
0x42A99CCBDBD4B40B, 0xA59998AF45E9C559,
0x366295E807D93186, 0x6B48181BFAA1F773,
0x1FEC57E2157A0A1D, 0x4667446AF6201AD5,
0xE615EBCACFB0F075, 0xB8F31F4F68290778,
0x22713ED6CE22D11E, 0x3057C1A72EC3C93B,
0xCB46ACC37C3F1F2F, 0xDBB893FD02AAF50E,
0x331FD92E600B9FCF, 0xA498F96148EA3AD6,
0xA8D8426E8B6A83EA, 0xA089B274B7735CDC,
0x87F6B3731E524A11, 0x118808E5CBC96749,
0x9906E4C7B19BD394, 0xAFED7F7E9B24A20C,
0x6509EADEEB3644A7, 0x6C1EF1D3E8EF0EDE,
0xB9C97D43E9798FB4, 0xA2F2D784740C28A3,
0x7B8496476197566F, 0x7A5BE3E6B65F069D,
0xF96330ED78BE6F10, 0xEEE60DE77A076A15,
0x2B4BEE4AA08B9BD0, 0x6A56A63EC7B8894E,
0x02121359BA34FEF4, 0x4CBF99F8283703FC,
0x398071350CAF30C8, 0xD0A77A89F017687A,
0xF1C1A9EB9E423569, 0x8C7976282DEE8199,
0x5D1737A5DD1F7ABD, 0x4F53433C09A9FA80,
0xFA8B0C53DF7CA1D9, 0x3FD9DCBC886CCB77,
0xC040917CA91B4720, 0x7DD00142F9D1DCDF,
0x8476FC1D4F387B58, 0x23F8E7C5F3316503,
0x032A2244E7E37339, 0x5C87A5D750F5A74B,
0x082B4CC43698992E, 0xDF917BECB858F63C,
0x3270B8FC5BF86DDA, 0x10AE72BB29B5DD76,
0x576AC94E7700362B, 0x1AD112DAC61EFB8F,
0x691BC30EC5FAA427, 0xFF246311CC327143,
0x3142368E30E53206, 0x71380E31E02CA396,
0x958D5C960AAD76F1, 0xF8D6F430C16DA536,
0xC8FFD13F1BE7E1D2, 0x7578AE66004DDBE1,
0x05833F01067BE646, 0xBB34B5AD3BFE586D,
0x095F34C9A12B97F0, 0x247AB64525D60CA8,
0xDCDBC6F3017477D1, 0x4A2E14D4DECAD24D,
0xBDB5E6D9BE0A1EEB, 0x2A7E70F7794301AB,
0xDEF42D8A270540FD, 0x01078EC0A34C22C1,
0xE5DE511AF4C16387, 0x7EBB3A52BD9A330A,
0x77697857AA7D6435, 0x004E831603AE4C32,
0xE7A21020AD78E312, 0x9D41A70C6AB420F2,
0x28E06C18EA1141E6, 0xD2B28CBD984F6B28,
0x26B75F6C446E9D83, 0xBA47568C4D418D7F,
0xD80BADBFE6183D8E, 0x0E206D7F5F166044,
0xE258A43911CBCA3E, 0x723A1746B21DC0BC,
0xC7CAA854F5D7CDD3, 0x7CAC32883D261D9C,
0x7690C26423BA942C, 0x17E55524478042B8,
0xE0BE477656A2389F, 0x4D289B5E67AB2DA0,
0x44862B9C8FBBFD31, 0xB47CC8049D141365,
0x822C1B362B91C793, 0x4EB14655FB13DFD8,
0x1ECBBA0714E2A97B, 0x6143459D5CDE5F14,
0x53A8FBF1D5F0AC89, 0x97EA04D81C5E5B00,
0x622181A8D4FDB3F3, 0xE9BCD341572A1208,
0x1411258643CCE58A, 0x9144C5FEA4C6E0A4,
0x0D33D06565CF620F, 0x54A48D489F219CA1,
0xC43E5EAC6D63C821, 0xA9728B3A72770DAF,
0xD7934E7B20DF87EF, 0xE35503B61A3E86E5,
0xCAE321FBC819D504, 0x129A50B3AC60BFA6,
0xCD5E68EA7E9FB6C3, 0xB01C90199483B1C7,
0x3DE93CD5C295376C, 0xAED52EDF2AB9AD13,
0x2E60F512C0A07884, 0xBC3D86A3E36210C9,
0x35269D9B163951CE, 0x0C7D6E2AD0CDB5FA,
0x59E86297D87F5733, 0x298EF221898DB0E7,
0x55000029D1A5AA7E, 0x8BC08AE1B5061B45,
0xC2C31C2B6C92703A, 0x94CC596BAF25EF42,
0x0A1D73DB22540456, 0x04B6A0F9D9C4179A,
0xEFFDAFA2AE3D3C60, 0xF7C8075BB49496C4,
0x9CC5C7141D1CD4E3, 0x78BD1638218E5534,
0xB2F11568F850246A, 0xEDFABCFA9502BC29,
0x796CE5F2DA23051B, 0xAAE128B0DC93537C,
0x3A493DA0EE4B29AE, 0xB5DF6B2C416895D7,
0xFCABBD25122D7F37, 0x70810B58105DC4B1,
0xE10FDD37F7882A90, 0x524DCAB5518A3F5C,
0x3C9E85878451255B, 0x4029828119BD34E2,
0x74A05B6F5D3CECCB, 0xB610021542E13ECA,
0x0FF979D12F59E2AC, 0x6037DA27E4F9CC50,
0x5E92975A0DF1847D, 0xD66DE190D3E623FE,
0x5032D6B87B568048, 0x9A36B7CE8235216E,
0x80272A7A24F64B4A, 0x93EFED8B8C6916F7,
0x37DDBFF44CCE1555, 0x4B95DB5D4B99BD25,
0x92D3FDA169812FC0, 0xFB1A4A9A90660BB6,
0x730C196946A4B9B2, 0x81E289AA7F49DA68,
0x64669A0F83B1A05F, 0x27B3FF7D9644F48B,
0xCC6B615C8DB675B3, 0x674F20B9BCEBBE95,
0x6F31238275655982, 0x5AE488713E45CF05,
0xBF619F9954C21157, 0xEABAC46040A8EAE9,
0x454C6FE9F2C0C1CD, 0x419CF6496412691C,
0xD3DC3BEF265B0F70, 0x6D0E60F5C3578A9E
]
T4 = [
0x5B0E608526323C55, 0x1A46C1A9FA1B59F5,
0xA9E245A17C4C8FFA, 0x65CA5159DB2955D7,
0x05DB0A76CE35AFC2, 0x81EAC77EA9113D45,
0x528EF88AB6AC0A0D, 0xA09EA253597BE3FF,
0x430DDFB3AC48CD56, 0xC4B3A67AF45CE46F,
0x4ECECFD8FBE2D05E, 0x3EF56F10B39935F0,
0x0B22D6829CD619C6, 0x17FD460A74DF2069,
0x6CF8CC8E8510ED40, 0xD6C824BF3A6ECAA7,
0x61243D581A817049, 0x048BACB6BBC163A2,
0xD9A38AC27D44CC32, 0x7FDDFF5BAAF410AB,
0xAD6D495AA804824B, 0xE1A6A74F2D8C9F94,
0xD4F7851235DEE8E3, 0xFD4B7F886540D893,
0x247C20042AA4BFDA, 0x096EA1C517D1327C,
0xD56966B4361A6685, 0x277DA5C31221057D,
0x94D59893A43ACFF7, 0x64F0C51CCDC02281,
0x3D33BCC4FF6189DB, 0xE005CB184CE66AF1,
0xFF5CCD1D1DB99BEA, 0xB0B854A7FE42980F,
0x7BD46A6A718D4B9F, 0xD10FA8CC22A5FD8C,
0xD31484952BE4BD31, 0xC7FA975FCB243847,
0x4886ED1E5846C407, 0x28CDDB791EB70B04,
0xC2B00BE2F573417F, 0x5C9590452180F877,
0x7A6BDDFFF370EB00, 0xCE509E38D6D9D6A4,
0xEBEB0F00647FA702, 0x1DCC06CF76606F06,
0xE4D9F28BA286FF0A, 0xD85A305DC918C262,
0x475B1D8732225F54, 0x2D4FB51668CCB5FE,
0xA679B9D9D72BBA20, 0x53841C0D912D43A5,
0x3B7EAA48BF12A4E8, 0x781E0E47F22F1DDF,
0xEFF20CE60AB50973, 0x20D261D19DFFB742,
0x16A12B03062A2E39, 0x1960EB2239650495,
0x251C16FED50EB8B8, 0x9AC0C330F826016E,
0xED152665953E7671, 0x02D63194A6369570,
0x5074F08394B1C987, 0x70BA598C90B25CE1,
0x794A15810B9742F6, 0x0D5925E9FCAF8C6C,
0x3067716CD868744E, 0x910AB077E8D7731B,
0x6A61BBDB5AC42F61, 0x93513EFBF0851567,
0xF494724B9E83E9D5, 0xE887E1985C09648D,
0x34B1D3C675370CFD, 0xDC35E433BC0D255D,
0xD0AAB84234131BE0, 0x08042A50B48B7EAF,
0x9997C4EE44A3AB35, 0x829A7B49201799D0,
0x263B8307B7C54441, 0x752F95F4FD6A6CA6,
0x927217402C08C6E5, 0x2A8AB754A795D9EE,
0xA442F7552F72943D, 0x2C31334E19781208,
0x4FA98D7CEAEE6291, 0x55C3862F665DB309,
0xBD0610175D53B1F3, 0x46FE6CB840413F27,
0x3FE03792DF0CFA59, 0xCFE700372EB85E8F,
0xA7BE29E7ADBCE118, 0xE544EE5CDE8431DD,
0x8A781B1B41F1873E, 0xA5C94C78A0D2F0E7,
0x39412E2877B60728, 0xA1265EF3AFC9A62C,
0xBCC2770C6A2506C5, 0x3AB66DD5DCE1CE12,
0xE65499D04A675B37, 0x7D8F523481BFD216,
0x0F6F64FCEC15F389, 0x74EFBE618B5B13C8,
0xACDC82B714273E1D, 0xDD40BFE003199D17,
0x37E99257E7E061F8, 0xFA52626904775AAA,
0x8BBBF63A463D56F9, 0xF0013F1543A26E64,
0xA8307E9F879EC898, 0xCC4C27A4150177CC,
0x1B432F2CCA1D3348, 0xDE1D1F8F9F6FA013,
0x606602A047A7DDD6, 0xD237AB64CC1CB2C7,
0x9B938E7225FCD1D3, 0xEC4E03708E0FF476,
0xFEB2FBDA3D03C12D, 0xAE0BCED2EE43889A,
0x22CB8923EBFB4F43, 0x69360D013CF7396D,
0x855E3602D2D4E022, 0x073805BAD01F784C,
0x33E17A133852F546, 0xDF4874058AC7B638,
0xBA92B29C678AA14A, 0x0CE89FC76CFAADCD,
0x5F9D4E0908339E34, 0xF1AFE9291F5923B9,
0x6E3480F60F4A265F, 0xEEBF3A2AB29B841C,
0xE21938A88F91B4AD, 0x57DFEFF845C6D3C3,
0x2F006B0BF62CAAF2, 0x62F479EF6F75EE78,
0x11A55AD41C8916A9, 0xF229D29084FED453,
0x42F1C27B16B000E6, 0x2B1F76749823C074,
0x4B76ECA3C2745360, 0x8C98F463B91691BD,
0x14BCC93CF1ADE66A, 0x8885213E6D458397,
0x8E177DF0274D4711, 0xB49B73B5503F2951,
0x10168168C3F96B6B, 0x0E3D963B63CAB0AE,
0x8DFC4B5655A1DB14, 0xF789F1356E14DE5C,
0x683E68AF4E51DAC1, 0xC9A84F9D8D4B0FD9,
0x3691E03F52A0F9D1, 0x5ED86E46E1878E80,
0x3C711A0E99D07150, 0x5A0865B20C4E9310,
0x56FBFC1FE4F0682E, 0xEA8D5DE3105EDF9B,
0x71ABFDB12379187A, 0x2EB99DE1BEE77B9C,
0x21ECC0EA33CF4523, 0x59A4D7521805C7A1,
0x3896F5EB56AE7C72, 0xAA638F3DB18F75DC,
0x9F39358DABE9808E, 0xB7DEFA91C00B72AC,
0x6B5541FD62492D92, 0x6DC6DEE8F92E4D5B,
0x353F57ABC4BEEA7E, 0x735769D6DA5690CE,
0x0A234AA642391484, 0xF6F9508028F80D9D,
0xB8E319A27AB3F215, 0x31AD9C1151341A4D,
0x773C22A57BEF5805, 0x45C7561A07968633,
0xF913DA9E249DBE36, 0xDA652D9B78A64C68,
0x4C27A97F3BC334EF, 0x76621220E66B17F4,
0x967743899ACD7D0B, 0xF3EE5BCAE0ED6782,
0x409F753600C879FC, 0x06D09A39B5926DB6,
0x6F83AEB0317AC588, 0x01E6CA4A86381F21,
0x66FF3462D19F3025, 0x72207C24DDFD3BFB,
0x4AF6B6D3E2ECE2EB, 0x9C994DBEC7EA08DE,
0x49ACE597B09A8BC4, 0xB38C4766CF0797BA,
0x131B9373C57C2A75, 0xB1822CCE61931E58,
0x9D7555B909BA1C0C, 0x127FAFDD937D11D2,
0x29DA3BADC66D92E4, 0xA2C1D57154C2ECBC,
0x58C5134D82F6FE24, 0x1C3AE3515B62274F,
0xE907C82E01CB8126, 0xF8ED091913E37FCB,
0x3249D8F9C80046C9, 0x80CF9BEDE388FB63,
0x1881539A116CF19E, 0x5103F3F76BD52457,
0x15B7E6F5AE47F7A8, 0xDBD7C6DED47E9CCF,
0x44E55C410228BB1A, 0xB647D4255EDB4E99,
0x5D11882BB8AAFC30, 0xF5098BBB29D3212A,
0x8FB5EA14E90296B3, 0x677B942157DD025A,
0xFB58E7C0A390ACB5, 0x89D3674C83BD4A01,
0x9E2DA4DF4BF3B93B, 0xFCC41E328CAB4829,
0x03F38C96BA582C52, 0xCAD1BDBD7FD85DB2,
0xBBB442C16082AE83, 0xB95FE86BA5DA9AB0,
0xB22E04673771A93F, 0x845358C9493152D8,
0xBE2A488697B4541E, 0x95A2DC2DD38E6966,
0xC02C11AC923C852B, 0x2388B1990DF2A87B,
0x7C8008FA1B4F37BE, 0x1F70D0C84D54E503,
0x5490ADEC7ECE57D4, 0x002B3C27D9063A3A,
0x7EAEA3848030A2BF, 0xC602326DED2003C0,
0x83A7287D69A94086, 0xC57A5FCB30F57A8A,
0xB56844E479EBE779, 0xA373B40F05DCBCE9,
0xD71A786E88570EE2, 0x879CBACDBDE8F6A0,
0x976AD1BCC164A32F, 0xAB21E25E9666D78B,
0x901063AAE5E5C33C, 0x9818B34448698D90,
0xE36487AE3E1E8ABB, 0xAFBDF931893BDCB4,
0x6345A0DC5FBBD519, 0x8628FE269B9465CA,
0x1E5D01603F9C51EC, 0x4DE44006A15049B7,
0xBF6C70E5F776CBB1, 0x411218F2EF552BED,
0xCB0C0708705A36A3, 0xE74D14754F986044,
0xCD56D9430EA8280E, 0xC12591D7535F5065,
0xC83223F1720AEF96, 0xC3A0396F7363A51F
]
# endregion
def _round(a, b, c, x, mul):
c ^= x
c &= 0xffffffffffffffff
a -= T1[(c >> (0 * 8)) & 0xFF] ^
T2[(c >> (2 * 8)) & 0xFF] ^
T3[(c >> (4 * 8)) & 0xFF] ^
T4[(c >> (6 * 8)) & 0xFF]
b += T4[(c >> (1 * 8)) & 0xFF] ^
T3[(c >> (3 * 8)) & 0xFF] ^
T2[(c >> (5 * 8)) & 0xFF] ^
T1[(c >> (7 * 8)) & 0xFF]
b *= mul
a &= 0xffffffffffffffff
b &= 0xffffffffffffffff
c &= 0xffffffffffffffff
return a, b, c
def _pass(a, b, c, x, mul):
a, b, c = _round(a, b, c, x[0], mul)
b, c, a = _round(b, c, a, x[1], mul)
c, a, b = _round(c, a, b, x[2], mul)
a, b, c = _round(a, b, c, x[3], mul)
b, c, a = _round(b, c, a, x[4], mul)
c, a, b = _round(c, a, b, x[5], mul)
a, b, c = _round(a, b, c, x[6], mul)
b, c, a = _round(b, c, a, x[7], mul)
return a, b, c
def _key_schedule(x):
x[0] = (x[0] - (x[7] ^ 0xA5A5A5A5A5A5A5A5) & MASK_64) & MASK_64
x[1] ^= x[0]
x[2] = (x[2] + x[1]) & MASK_64
x[3] = (x[3] - (x[2] ^ (~x[1] & MASK_64) << 19) & MASK_64) & MASK_64
x[4] ^= x[3]
x[5] = (x[5] + x[4]) & MASK_64
x[6] = (x[6] - (x[5] ^ (~x[4] & MASK_64) >> 23) & MASK_64) & MASK_64
x[7] ^= x[6]
x[0] = (x[0] + x[7]) & MASK_64
x[1] = (x[1] - (x[0] ^ (~x[7] & MASK_64) << 19) & MASK_64) & MASK_64
x[2] ^= x[1]
x[3] = (x[3] + x[2]) & MASK_64
x[4] = (x[4] - (x[3] ^ (~x[2] & MASK_64) >> 23) & MASK_64) & MASK_64
x[5] ^= x[4]
x[6] = (x[6] + x[5]) & MASK_64
x[7] = (x[7] - (x[6] ^ 0x0123456789ABCDEF) & MASK_64) & MASK_64
def compress_block(state: List[int], block):
x = [0] * 8
for i in range(8):
x[i] = struct.unpack(b'Q', block[i * 8:i * 8 + 8])[0]
a, b, c = state
a, b, c = _pass(a, b, c, x, 5)
_key_schedule(x)
c, a, b = _pass(c, a, b, x, 7)
_key_schedule(x)
b, c, a = _pass(b, c, a, x, 9)
state[0] ^= a
state[1] = b - state[1]
state[1] &= MASK_64
state[2] += c
state[2] &= MASK_64
class TigerHash:
def __init__(self):
# Initial digest variables
self._h = [
0x0123456789abcdef,
0xfedcba9876543210,
0xf096a5b4c3b2e187,
]
# bytes object with 0 <= len < 64 used to store the end of the message
# if the message length is not congruent to 64
self._unprocessed = b''
# Length in bytes of all data that has been processed so far
self._message_byte_length = 0
self._digest = None
def digest(self) -> bytes:
self.final()
return self._digest
def hexdigest(self):
"""Produce the final hash value (big-endian) as a hex string"""
return self.digest().hex()
def update(self, message: bytes):
if isinstance(message, (bytes, bytearray)):
message = io.BytesIO(message)
block = self._unprocessed + message.read(64 - len(self._unprocessed))
# Read the rest of the data, 64 bytes at a time
while len(block) == 64:
compress_block(self._h, block)
self._message_byte_length += 64
block = message.read(64)
self._unprocessed = block
return self
def final(self):
"""Return finalized digest variables for the data processed so far."""
# Pre-processing:
message = self._unprocessed
message_byte_length = self._message_byte_length + len(message)
# append the bit '1' to the message
message += b'x01'
# append 0 <= k < 512 bits '0', so that the resulting message length (in bytes)
# is congruent to 56 (mod 64)
message += b'x00' * ((56 - (message_byte_length + 1) % 64) % 64)
# append length of message (before pre-processing), in bits, as 64-bit big-endian integer
message_bit_length = message_byte_length * 8
message += struct.pack(b'<Q', message_bit_length)
# Process the final chunk
# At this point, the length of the message is either 64 or 128 bytes.
compress_block(self._h, message[:64])
if len(message) == 64:
self._digest = struct.pack(f"<{len(self._h)}Q", *self._h)
return
compress_block(self._h, message[64:])
self._digest = struct.pack(f"<{len(self._h)}Q", *self._h)
好了，本文到这里就结束了，感谢各位读者读到这里，咱们下次再见。
参考资料
-
https://www.cs.technion.ac.il/~biham/Reports/Tiger/ -
https://www.reddit.com/r/crypto/comments/2bj6bs/why_is_the_tiger_hash_function_unpopular_for/ -
https://www.cs.technion.ac.il/~biham/Reports/Tiger/tiger/node3.html#SECTION00030000000000000000 -
https://github.com/browning/tiger-hash-python/blob/master/tiger.py -
https://iacr.org/archive/asiacrypt2007/48330539/48330539.pdf -
https://github.com/ajalt/python-sha1/blob/master/sha1.py
原文始发于微信公众号（Coder小Q）：【密码学】一文读懂TigerHash
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