path: root/src/block/aes/aes.cpp

/**
* AES
* (C) 1999-2009 Jack Lloyd
*
* Distributed under the terms of the Botan license
*/

#include <botan/aes.h>
#include <botan/loadstor.h>
#include <botan/rotate.h>

namespace Botan {

namespace {

const byte SE[256] = {
   0x63, 0x7C, 0x77, 0x7B, 0xF2, 0x6B, 0x6F, 0xC5, 0x30, 0x01, 0x67, 0x2B,
   0xFE, 0xD7, 0xAB, 0x76, 0xCA, 0x82, 0xC9, 0x7D, 0xFA, 0x59, 0x47, 0xF0,
   0xAD, 0xD4, 0xA2, 0xAF, 0x9C, 0xA4, 0x72, 0xC0, 0xB7, 0xFD, 0x93, 0x26,
   0x36, 0x3F, 0xF7, 0xCC, 0x34, 0xA5, 0xE5, 0xF1, 0x71, 0xD8, 0x31, 0x15,
   0x04, 0xC7, 0x23, 0xC3, 0x18, 0x96, 0x05, 0x9A, 0x07, 0x12, 0x80, 0xE2,
   0xEB, 0x27, 0xB2, 0x75, 0x09, 0x83, 0x2C, 0x1A, 0x1B, 0x6E, 0x5A, 0xA0,
   0x52, 0x3B, 0xD6, 0xB3, 0x29, 0xE3, 0x2F, 0x84, 0x53, 0xD1, 0x00, 0xED,
   0x20, 0xFC, 0xB1, 0x5B, 0x6A, 0xCB, 0xBE, 0x39, 0x4A, 0x4C, 0x58, 0xCF,
   0xD0, 0xEF, 0xAA, 0xFB, 0x43, 0x4D, 0x33, 0x85, 0x45, 0xF9, 0x02, 0x7F,
   0x50, 0x3C, 0x9F, 0xA8, 0x51, 0xA3, 0x40, 0x8F, 0x92, 0x9D, 0x38, 0xF5,
   0xBC, 0xB6, 0xDA, 0x21, 0x10, 0xFF, 0xF3, 0xD2, 0xCD, 0x0C, 0x13, 0xEC,
   0x5F, 0x97, 0x44, 0x17, 0xC4, 0xA7, 0x7E, 0x3D, 0x64, 0x5D, 0x19, 0x73,
   0x60, 0x81, 0x4F, 0xDC, 0x22, 0x2A, 0x90, 0x88, 0x46, 0xEE, 0xB8, 0x14,
   0xDE, 0x5E, 0x0B, 0xDB, 0xE0, 0x32, 0x3A, 0x0A, 0x49, 0x06, 0x24, 0x5C,
   0xC2, 0xD3, 0xAC, 0x62, 0x91, 0x95, 0xE4, 0x79, 0xE7, 0xC8, 0x37, 0x6D,
   0x8D, 0xD5, 0x4E, 0xA9, 0x6C, 0x56, 0xF4, 0xEA, 0x65, 0x7A, 0xAE, 0x08,
   0xBA, 0x78, 0x25, 0x2E, 0x1C, 0xA6, 0xB4, 0xC6, 0xE8, 0xDD, 0x74, 0x1F,
   0x4B, 0xBD, 0x8B, 0x8A, 0x70, 0x3E, 0xB5, 0x66, 0x48, 0x03, 0xF6, 0x0E,
   0x61, 0x35, 0x57, 0xB9, 0x86, 0xC1, 0x1D, 0x9E, 0xE1, 0xF8, 0x98, 0x11,
   0x69, 0xD9, 0x8E, 0x94, 0x9B, 0x1E, 0x87, 0xE9, 0xCE, 0x55, 0x28, 0xDF,
   0x8C, 0xA1, 0x89, 0x0D, 0xBF, 0xE6, 0x42, 0x68, 0x41, 0x99, 0x2D, 0x0F,
   0xB0, 0x54, 0xBB, 0x16 };

const byte SD[256] = {
   0x52, 0x09, 0x6A, 0xD5, 0x30, 0x36, 0xA5, 0x38, 0xBF, 0x40, 0xA3, 0x9E,
   0x81, 0xF3, 0xD7, 0xFB, 0x7C, 0xE3, 0x39, 0x82, 0x9B, 0x2F, 0xFF, 0x87,
   0x34, 0x8E, 0x43, 0x44, 0xC4, 0xDE, 0xE9, 0xCB, 0x54, 0x7B, 0x94, 0x32,
   0xA6, 0xC2, 0x23, 0x3D, 0xEE, 0x4C, 0x95, 0x0B, 0x42, 0xFA, 0xC3, 0x4E,
   0x08, 0x2E, 0xA1, 0x66, 0x28, 0xD9, 0x24, 0xB2, 0x76, 0x5B, 0xA2, 0x49,
   0x6D, 0x8B, 0xD1, 0x25, 0x72, 0xF8, 0xF6, 0x64, 0x86, 0x68, 0x98, 0x16,
   0xD4, 0xA4, 0x5C, 0xCC, 0x5D, 0x65, 0xB6, 0x92, 0x6C, 0x70, 0x48, 0x50,
   0xFD, 0xED, 0xB9, 0xDA, 0x5E, 0x15, 0x46, 0x57, 0xA7, 0x8D, 0x9D, 0x84,
   0x90, 0xD8, 0xAB, 0x00, 0x8C, 0xBC, 0xD3, 0x0A, 0xF7, 0xE4, 0x58, 0x05,
   0xB8, 0xB3, 0x45, 0x06, 0xD0, 0x2C, 0x1E, 0x8F, 0xCA, 0x3F, 0x0F, 0x02,
   0xC1, 0xAF, 0xBD, 0x03, 0x01, 0x13, 0x8A, 0x6B, 0x3A, 0x91, 0x11, 0x41,
   0x4F, 0x67, 0xDC, 0xEA, 0x97, 0xF2, 0xCF, 0xCE, 0xF0, 0xB4, 0xE6, 0x73,
   0x96, 0xAC, 0x74, 0x22, 0xE7, 0xAD, 0x35, 0x85, 0xE2, 0xF9, 0x37, 0xE8,
   0x1C, 0x75, 0xDF, 0x6E, 0x47, 0xF1, 0x1A, 0x71, 0x1D, 0x29, 0xC5, 0x89,
   0x6F, 0xB7, 0x62, 0x0E, 0xAA, 0x18, 0xBE, 0x1B, 0xFC, 0x56, 0x3E, 0x4B,
   0xC6, 0xD2, 0x79, 0x20, 0x9A, 0xDB, 0xC0, 0xFE, 0x78, 0xCD, 0x5A, 0xF4,
   0x1F, 0xDD, 0xA8, 0x33, 0x88, 0x07, 0xC7, 0x31, 0xB1, 0x12, 0x10, 0x59,
   0x27, 0x80, 0xEC, 0x5F, 0x60, 0x51, 0x7F, 0xA9, 0x19, 0xB5, 0x4A, 0x0D,
   0x2D, 0xE5, 0x7A, 0x9F, 0x93, 0xC9, 0x9C, 0xEF, 0xA0, 0xE0, 0x3B, 0x4D,
   0xAE, 0x2A, 0xF5, 0xB0, 0xC8, 0xEB, 0xBB, 0x3C, 0x83, 0x53, 0x99, 0x61,
   0x17, 0x2B, 0x04, 0x7E, 0xBA, 0x77, 0xD6, 0x26, 0xE1, 0x69, 0x14, 0x63,
   0x55, 0x21, 0x0C, 0x7D };

const u32bit TE[1024] = {
   0xC66363A5, 0xF87C7C84, 0xEE777799, 0xF67B7B8D, 0xFFF2F20D, 0xD66B6BBD,
   0xDE6F6FB1, 0x91C5C554, 0x60303050, 0x02010103, 0xCE6767A9, 0x562B2B7D,
   0xE7FEFE19, 0xB5D7D762, 0x4DABABE6, 0xEC76769A, 0x8FCACA45, 0x1F82829D,
   0x89C9C940, 0xFA7D7D87, 0xEFFAFA15, 0xB25959EB, 0x8E4747C9, 0xFBF0F00B,
   0x41ADADEC, 0xB3D4D467, 0x5FA2A2FD, 0x45AFAFEA, 0x239C9CBF, 0x53A4A4F7,
   0xE4727296, 0x9BC0C05B, 0x75B7B7C2, 0xE1FDFD1C, 0x3D9393AE, 0x4C26266A,
   0x6C36365A, 0x7E3F3F41, 0xF5F7F702, 0x83CCCC4F, 0x6834345C, 0x51A5A5F4,
   0xD1E5E534, 0xF9F1F108, 0xE2717193, 0xABD8D873, 0x62313153, 0x2A15153F,
   0x0804040C, 0x95C7C752, 0x46232365, 0x9DC3C35E, 0x30181828, 0x379696A1,
   0x0A05050F, 0x2F9A9AB5, 0x0E070709, 0x24121236, 0x1B80809B, 0xDFE2E23D,
   0xCDEBEB26, 0x4E272769, 0x7FB2B2CD, 0xEA75759F, 0x1209091B, 0x1D83839E,
   0x582C2C74, 0x341A1A2E, 0x361B1B2D, 0xDC6E6EB2, 0xB45A5AEE, 0x5BA0A0FB,
   0xA45252F6, 0x763B3B4D, 0xB7D6D661, 0x7DB3B3CE, 0x5229297B, 0xDDE3E33E,
   0x5E2F2F71, 0x13848497, 0xA65353F5, 0xB9D1D168, 0x00000000, 0xC1EDED2C,
   0x40202060, 0xE3FCFC1F, 0x79B1B1C8, 0xB65B5BED, 0xD46A6ABE, 0x8DCBCB46,
   0x67BEBED9, 0x7239394B, 0x944A4ADE, 0x984C4CD4, 0xB05858E8, 0x85CFCF4A,
   0xBBD0D06B, 0xC5EFEF2A, 0x4FAAAAE5, 0xEDFBFB16, 0x864343C5, 0x9A4D4DD7,
   0x66333355, 0x11858594, 0x8A4545CF, 0xE9F9F910, 0x04020206, 0xFE7F7F81,
   0xA05050F0, 0x783C3C44, 0x259F9FBA, 0x4BA8A8E3, 0xA25151F3, 0x5DA3A3FE,
   0x804040C0, 0x058F8F8A, 0x3F9292AD, 0x219D9DBC, 0x70383848, 0xF1F5F504,
   0x63BCBCDF, 0x77B6B6C1, 0xAFDADA75, 0x42212163, 0x20101030, 0xE5FFFF1A,
   0xFDF3F30E, 0xBFD2D26D, 0x81CDCD4C, 0x180C0C14, 0x26131335, 0xC3ECEC2F,
   0xBE5F5FE1, 0x359797A2, 0x884444CC, 0x2E171739, 0x93C4C457, 0x55A7A7F2,
   0xFC7E7E82, 0x7A3D3D47, 0xC86464AC, 0xBA5D5DE7, 0x3219192B, 0xE6737395,
   0xC06060A0, 0x19818198, 0x9E4F4FD1, 0xA3DCDC7F, 0x44222266, 0x542A2A7E,
   0x3B9090AB, 0x0B888883, 0x8C4646CA, 0xC7EEEE29, 0x6BB8B8D3, 0x2814143C,
   0xA7DEDE79, 0xBC5E5EE2, 0x160B0B1D, 0xADDBDB76, 0xDBE0E03B, 0x64323256,
   0x743A3A4E, 0x140A0A1E, 0x924949DB, 0x0C06060A, 0x4824246C, 0xB85C5CE4,
   0x9FC2C25D, 0xBDD3D36E, 0x43ACACEF, 0xC46262A6, 0x399191A8, 0x319595A4,
   0xD3E4E437, 0xF279798B, 0xD5E7E732, 0x8BC8C843, 0x6E373759, 0xDA6D6DB7,
   0x018D8D8C, 0xB1D5D564, 0x9C4E4ED2, 0x49A9A9E0, 0xD86C6CB4, 0xAC5656FA,
   0xF3F4F407, 0xCFEAEA25, 0xCA6565AF, 0xF47A7A8E, 0x47AEAEE9, 0x10080818,
   0x6FBABAD5, 0xF0787888, 0x4A25256F, 0x5C2E2E72, 0x381C1C24, 0x57A6A6F1,
   0x73B4B4C7, 0x97C6C651, 0xCBE8E823, 0xA1DDDD7C, 0xE874749C, 0x3E1F1F21,
   0x964B4BDD, 0x61BDBDDC, 0x0D8B8B86, 0x0F8A8A85, 0xE0707090, 0x7C3E3E42,
   0x71B5B5C4, 0xCC6666AA, 0x904848D8, 0x06030305, 0xF7F6F601, 0x1C0E0E12,
   0xC26161A3, 0x6A35355F, 0xAE5757F9, 0x69B9B9D0, 0x17868691, 0x99C1C158,
   0x3A1D1D27, 0x279E9EB9, 0xD9E1E138, 0xEBF8F813, 0x2B9898B3, 0x22111133,
   0xD26969BB, 0xA9D9D970, 0x078E8E89, 0x339494A7, 0x2D9B9BB6, 0x3C1E1E22,
   0x15878792, 0xC9E9E920, 0x87CECE49, 0xAA5555FF, 0x50282878, 0xA5DFDF7A,
   0x038C8C8F, 0x59A1A1F8, 0x09898980, 0x1A0D0D17, 0x65BFBFDA, 0xD7E6E631,
   0x844242C6, 0xD06868B8, 0x824141C3, 0x299999B0, 0x5A2D2D77, 0x1E0F0F11,
   0x7BB0B0CB, 0xA85454FC, 0x6DBBBBD6, 0x2C16163A, 0xA5C66363, 0x84F87C7C,
   0x99EE7777, 0x8DF67B7B, 0x0DFFF2F2, 0xBDD66B6B, 0xB1DE6F6F, 0x5491C5C5,
   0x50603030, 0x03020101, 0xA9CE6767, 0x7D562B2B, 0x19E7FEFE, 0x62B5D7D7,
   0xE64DABAB, 0x9AEC7676, 0x458FCACA, 0x9D1F8282, 0x4089C9C9, 0x87FA7D7D,
   0x15EFFAFA, 0xEBB25959, 0xC98E4747, 0x0BFBF0F0, 0xEC41ADAD, 0x67B3D4D4,
   0xFD5FA2A2, 0xEA45AFAF, 0xBF239C9C, 0xF753A4A4, 0x96E47272, 0x5B9BC0C0,
   0xC275B7B7, 0x1CE1FDFD, 0xAE3D9393, 0x6A4C2626, 0x5A6C3636, 0x417E3F3F,
   0x02F5F7F7, 0x4F83CCCC, 0x5C683434, 0xF451A5A5, 0x34D1E5E5, 0x08F9F1F1,
   0x93E27171, 0x73ABD8D8, 0x53623131, 0x3F2A1515, 0x0C080404, 0x5295C7C7,
   0x65462323, 0x5E9DC3C3, 0x28301818, 0xA1379696, 0x0F0A0505, 0xB52F9A9A,
   0x090E0707, 0x36241212, 0x9B1B8080, 0x3DDFE2E2, 0x26CDEBEB, 0x694E2727,
   0xCD7FB2B2, 0x9FEA7575, 0x1B120909, 0x9E1D8383, 0x74582C2C, 0x2E341A1A,
   0x2D361B1B, 0xB2DC6E6E, 0xEEB45A5A, 0xFB5BA0A0, 0xF6A45252, 0x4D763B3B,
   0x61B7D6D6, 0xCE7DB3B3, 0x7B522929, 0x3EDDE3E3, 0x715E2F2F, 0x97138484,
   0xF5A65353, 0x68B9D1D1, 0x00000000, 0x2CC1EDED, 0x60402020, 0x1FE3FCFC,
   0xC879B1B1, 0xEDB65B5B, 0xBED46A6A, 0x468DCBCB, 0xD967BEBE, 0x4B723939,
   0xDE944A4A, 0xD4984C4C, 0xE8B05858, 0x4A85CFCF, 0x6BBBD0D0, 0x2AC5EFEF,
   0xE54FAAAA, 0x16EDFBFB, 0xC5864343, 0xD79A4D4D, 0x55663333, 0x94118585,
   0xCF8A4545, 0x10E9F9F9, 0x06040202, 0x81FE7F7F, 0xF0A05050, 0x44783C3C,
   0xBA259F9F, 0xE34BA8A8, 0xF3A25151, 0xFE5DA3A3, 0xC0804040, 0x8A058F8F,
   0xAD3F9292, 0xBC219D9D, 0x48703838, 0x04F1F5F5, 0xDF63BCBC, 0xC177B6B6,
   0x75AFDADA, 0x63422121, 0x30201010, 0x1AE5FFFF, 0x0EFDF3F3, 0x6DBFD2D2,
   0x4C81CDCD, 0x14180C0C, 0x35261313, 0x2FC3ECEC, 0xE1BE5F5F, 0xA2359797,
   0xCC884444, 0x392E1717, 0x5793C4C4, 0xF255A7A7, 0x82FC7E7E, 0x477A3D3D,
   0xACC86464, 0xE7BA5D5D, 0x2B321919, 0x95E67373, 0xA0C06060, 0x98198181,
   0xD19E4F4F, 0x7FA3DCDC, 0x66442222, 0x7E542A2A, 0xAB3B9090, 0x830B8888,
   0xCA8C4646, 0x29C7EEEE, 0xD36BB8B8, 0x3C281414, 0x79A7DEDE, 0xE2BC5E5E,
   0x1D160B0B, 0x76ADDBDB, 0x3BDBE0E0, 0x56643232, 0x4E743A3A, 0x1E140A0A,
   0xDB924949, 0x0A0C0606, 0x6C482424, 0xE4B85C5C, 0x5D9FC2C2, 0x6EBDD3D3,
   0xEF43ACAC, 0xA6C46262, 0xA8399191, 0xA4319595, 0x37D3E4E4, 0x8BF27979,
   0x32D5E7E7, 0x438BC8C8, 0x596E3737, 0xB7DA6D6D, 0x8C018D8D, 0x64B1D5D5,
   0xD29C4E4E, 0xE049A9A9, 0xB4D86C6C, 0xFAAC5656, 0x07F3F4F4, 0x25CFEAEA,
   0xAFCA6565, 0x8EF47A7A, 0xE947AEAE, 0x18100808, 0xD56FBABA, 0x88F07878,
   0x6F4A2525, 0x725C2E2E, 0x24381C1C, 0xF157A6A6, 0xC773B4B4, 0x5197C6C6,
   0x23CBE8E8, 0x7CA1DDDD, 0x9CE87474, 0x213E1F1F, 0xDD964B4B, 0xDC61BDBD,
   0x860D8B8B, 0x850F8A8A, 0x90E07070, 0x427C3E3E, 0xC471B5B5, 0xAACC6666,
   0xD8904848, 0x05060303, 0x01F7F6F6, 0x121C0E0E, 0xA3C26161, 0x5F6A3535,
   0xF9AE5757, 0xD069B9B9, 0x91178686, 0x5899C1C1, 0x273A1D1D, 0xB9279E9E,
   0x38D9E1E1, 0x13EBF8F8, 0xB32B9898, 0x33221111, 0xBBD26969, 0x70A9D9D9,
   0x89078E8E, 0xA7339494, 0xB62D9B9B, 0x223C1E1E, 0x92158787, 0x20C9E9E9,
   0x4987CECE, 0xFFAA5555, 0x78502828, 0x7AA5DFDF, 0x8F038C8C, 0xF859A1A1,
   0x80098989, 0x171A0D0D, 0xDA65BFBF, 0x31D7E6E6, 0xC6844242, 0xB8D06868,
   0xC3824141, 0xB0299999, 0x775A2D2D, 0x111E0F0F, 0xCB7BB0B0, 0xFCA85454,
   0xD66DBBBB, 0x3A2C1616, 0x63A5C663, 0x7C84F87C, 0x7799EE77, 0x7B8DF67B,
   0xF20DFFF2, 0x6BBDD66B, 0x6FB1DE6F, 0xC55491C5, 0x30506030, 0x01030201,
   0x67A9CE67, 0x2B7D562B, 0xFE19E7FE, 0xD762B5D7, 0xABE64DAB, 0x769AEC76,
   0xCA458FCA, 0x829D1F82, 0xC94089C9, 0x7D87FA7D, 0xFA15EFFA, 0x59EBB259,
   0x47C98E47, 0xF00BFBF0, 0xADEC41AD, 0xD467B3D4, 0xA2FD5FA2, 0xAFEA45AF,
   0x9CBF239C, 0xA4F753A4, 0x7296E472, 0xC05B9BC0, 0xB7C275B7, 0xFD1CE1FD,
   0x93AE3D93, 0x266A4C26, 0x365A6C36, 0x3F417E3F, 0xF702F5F7, 0xCC4F83CC,
   0x345C6834, 0xA5F451A5, 0xE534D1E5, 0xF108F9F1, 0x7193E271, 0xD873ABD8,
   0x31536231, 0x153F2A15, 0x040C0804, 0xC75295C7, 0x23654623, 0xC35E9DC3,
   0x18283018, 0x96A13796, 0x050F0A05, 0x9AB52F9A, 0x07090E07, 0x12362412,
   0x809B1B80, 0xE23DDFE2, 0xEB26CDEB, 0x27694E27, 0xB2CD7FB2, 0x759FEA75,
   0x091B1209, 0x839E1D83, 0x2C74582C, 0x1A2E341A, 0x1B2D361B, 0x6EB2DC6E,
   0x5AEEB45A, 0xA0FB5BA0, 0x52F6A452, 0x3B4D763B, 0xD661B7D6, 0xB3CE7DB3,
   0x297B5229, 0xE33EDDE3, 0x2F715E2F, 0x84971384, 0x53F5A653, 0xD168B9D1,
   0x00000000, 0xED2CC1ED, 0x20604020, 0xFC1FE3FC, 0xB1C879B1, 0x5BEDB65B,
   0x6ABED46A, 0xCB468DCB, 0xBED967BE, 0x394B7239, 0x4ADE944A, 0x4CD4984C,
   0x58E8B058, 0xCF4A85CF, 0xD06BBBD0, 0xEF2AC5EF, 0xAAE54FAA, 0xFB16EDFB,
   0x43C58643, 0x4DD79A4D, 0x33556633, 0x85941185, 0x45CF8A45, 0xF910E9F9,
   0x02060402, 0x7F81FE7F, 0x50F0A050, 0x3C44783C, 0x9FBA259F, 0xA8E34BA8,
   0x51F3A251, 0xA3FE5DA3, 0x40C08040, 0x8F8A058F, 0x92AD3F92, 0x9DBC219D,
   0x38487038, 0xF504F1F5, 0xBCDF63BC, 0xB6C177B6, 0xDA75AFDA, 0x21634221,
   0x10302010, 0xFF1AE5FF, 0xF30EFDF3, 0xD26DBFD2, 0xCD4C81CD, 0x0C14180C,
   0x13352613, 0xEC2FC3EC, 0x5FE1BE5F, 0x97A23597, 0x44CC8844, 0x17392E17,
   0xC45793C4, 0xA7F255A7, 0x7E82FC7E, 0x3D477A3D, 0x64ACC864, 0x5DE7BA5D,
   0x192B3219, 0x7395E673, 0x60A0C060, 0x81981981, 0x4FD19E4F, 0xDC7FA3DC,
   0x22664422, 0x2A7E542A, 0x90AB3B90, 0x88830B88, 0x46CA8C46, 0xEE29C7EE,
   0xB8D36BB8, 0x143C2814, 0xDE79A7DE, 0x5EE2BC5E, 0x0B1D160B, 0xDB76ADDB,
   0xE03BDBE0, 0x32566432, 0x3A4E743A, 0x0A1E140A, 0x49DB9249, 0x060A0C06,
   0x246C4824, 0x5CE4B85C, 0xC25D9FC2, 0xD36EBDD3, 0xACEF43AC, 0x62A6C462,
   0x91A83991, 0x95A43195, 0xE437D3E4, 0x798BF279, 0xE732D5E7, 0xC8438BC8,
   0x37596E37, 0x6DB7DA6D, 0x8D8C018D, 0xD564B1D5, 0x4ED29C4E, 0xA9E049A9,
   0x6CB4D86C, 0x56FAAC56, 0xF407F3F4, 0xEA25CFEA, 0x65AFCA65, 0x7A8EF47A,
   0xAEE947AE, 0x08181008, 0xBAD56FBA, 0x7888F078, 0x256F4A25, 0x2E725C2E,
   0x1C24381C, 0xA6F157A6, 0xB4C773B4, 0xC65197C6, 0xE823CBE8, 0xDD7CA1DD,
   0x749CE874, 0x1F213E1F, 0x4BDD964B, 0xBDDC61BD, 0x8B860D8B, 0x8A850F8A,
   0x7090E070, 0x3E427C3E, 0xB5C471B5, 0x66AACC66, 0x48D89048, 0x03050603,
   0xF601F7F6, 0x0E121C0E, 0x61A3C261, 0x355F6A35, 0x57F9AE57, 0xB9D069B9,
   0x86911786, 0xC15899C1, 0x1D273A1D, 0x9EB9279E, 0xE138D9E1, 0xF813EBF8,
   0x98B32B98, 0x11332211, 0x69BBD269, 0xD970A9D9, 0x8E89078E, 0x94A73394,
   0x9BB62D9B, 0x1E223C1E, 0x87921587, 0xE920C9E9, 0xCE4987CE, 0x55FFAA55,
   0x28785028, 0xDF7AA5DF, 0x8C8F038C, 0xA1F859A1, 0x89800989, 0x0D171A0D,
   0xBFDA65BF, 0xE631D7E6, 0x42C68442, 0x68B8D068, 0x41C38241, 0x99B02999,
   0x2D775A2D, 0x0F111E0F, 0xB0CB7BB0, 0x54FCA854, 0xBBD66DBB, 0x163A2C16,
   0x6363A5C6, 0x7C7C84F8, 0x777799EE, 0x7B7B8DF6, 0xF2F20DFF, 0x6B6BBDD6,
   0x6F6FB1DE, 0xC5C55491, 0x30305060, 0x01010302, 0x6767A9CE, 0x2B2B7D56,
   0xFEFE19E7, 0xD7D762B5, 0xABABE64D, 0x76769AEC, 0xCACA458F, 0x82829D1F,
   0xC9C94089, 0x7D7D87FA, 0xFAFA15EF, 0x5959EBB2, 0x4747C98E, 0xF0F00BFB,
   0xADADEC41, 0xD4D467B3, 0xA2A2FD5F, 0xAFAFEA45, 0x9C9CBF23, 0xA4A4F753,
   0x727296E4, 0xC0C05B9B, 0xB7B7C275, 0xFDFD1CE1, 0x9393AE3D, 0x26266A4C,
   0x36365A6C, 0x3F3F417E, 0xF7F702F5, 0xCCCC4F83, 0x34345C68, 0xA5A5F451,
   0xE5E534D1, 0xF1F108F9, 0x717193E2, 0xD8D873AB, 0x31315362, 0x15153F2A,
   0x04040C08, 0xC7C75295, 0x23236546, 0xC3C35E9D, 0x18182830, 0x9696A137,
   0x05050F0A, 0x9A9AB52F, 0x0707090E, 0x12123624, 0x80809B1B, 0xE2E23DDF,
   0xEBEB26CD, 0x2727694E, 0xB2B2CD7F, 0x75759FEA, 0x09091B12, 0x83839E1D,
   0x2C2C7458, 0x1A1A2E34, 0x1B1B2D36, 0x6E6EB2DC, 0x5A5AEEB4, 0xA0A0FB5B,
   0x5252F6A4, 0x3B3B4D76, 0xD6D661B7, 0xB3B3CE7D, 0x29297B52, 0xE3E33EDD,
   0x2F2F715E, 0x84849713, 0x5353F5A6, 0xD1D168B9, 0x00000000, 0xEDED2CC1,
   0x20206040, 0xFCFC1FE3, 0xB1B1C879, 0x5B5BEDB6, 0x6A6ABED4, 0xCBCB468D,
   0xBEBED967, 0x39394B72, 0x4A4ADE94, 0x4C4CD498, 0x5858E8B0, 0xCFCF4A85,
   0xD0D06BBB, 0xEFEF2AC5, 0xAAAAE54F, 0xFBFB16ED, 0x4343C586, 0x4D4DD79A,
   0x33335566, 0x85859411, 0x4545CF8A, 0xF9F910E9, 0x02020604, 0x7F7F81FE,
   0x5050F0A0, 0x3C3C4478, 0x9F9FBA25, 0xA8A8E34B, 0x5151F3A2, 0xA3A3FE5D,
   0x4040C080, 0x8F8F8A05, 0x9292AD3F, 0x9D9DBC21, 0x38384870, 0xF5F504F1,
   0xBCBCDF63, 0xB6B6C177, 0xDADA75AF, 0x21216342, 0x10103020, 0xFFFF1AE5,
   0xF3F30EFD, 0xD2D26DBF, 0xCDCD4C81, 0x0C0C1418, 0x13133526, 0xECEC2FC3,
   0x5F5FE1BE, 0x9797A235, 0x4444CC88, 0x1717392E, 0xC4C45793, 0xA7A7F255,
   0x7E7E82FC, 0x3D3D477A, 0x6464ACC8, 0x5D5DE7BA, 0x19192B32, 0x737395E6,
   0x6060A0C0, 0x81819819, 0x4F4FD19E, 0xDCDC7FA3, 0x22226644, 0x2A2A7E54,
   0x9090AB3B, 0x8888830B, 0x4646CA8C, 0xEEEE29C7, 0xB8B8D36B, 0x14143C28,
   0xDEDE79A7, 0x5E5EE2BC, 0x0B0B1D16, 0xDBDB76AD, 0xE0E03BDB, 0x32325664,
   0x3A3A4E74, 0x0A0A1E14, 0x4949DB92, 0x06060A0C, 0x24246C48, 0x5C5CE4B8,
   0xC2C25D9F, 0xD3D36EBD, 0xACACEF43, 0x6262A6C4, 0x9191A839, 0x9595A431,
   0xE4E437D3, 0x79798BF2, 0xE7E732D5, 0xC8C8438B, 0x3737596E, 0x6D6DB7DA,
   0x8D8D8C01, 0xD5D564B1, 0x4E4ED29C, 0xA9A9E049, 0x6C6CB4D8, 0x5656FAAC,
   0xF4F407F3, 0xEAEA25CF, 0x6565AFCA, 0x7A7A8EF4, 0xAEAEE947, 0x08081810,
   0xBABAD56F, 0x787888F0, 0x25256F4A, 0x2E2E725C, 0x1C1C2438, 0xA6A6F157,
   0xB4B4C773, 0xC6C65197, 0xE8E823CB, 0xDDDD7CA1, 0x74749CE8, 0x1F1F213E,
   0x4B4BDD96, 0xBDBDDC61, 0x8B8B860D, 0x8A8A850F, 0x707090E0, 0x3E3E427C,
   0xB5B5C471, 0x6666AACC, 0x4848D890, 0x03030506, 0xF6F601F7, 0x0E0E121C,
   0x6161A3C2, 0x35355F6A, 0x5757F9AE, 0xB9B9D069, 0x86869117, 0xC1C15899,
   0x1D1D273A, 0x9E9EB927, 0xE1E138D9, 0xF8F813EB, 0x9898B32B, 0x11113322,
   0x6969BBD2, 0xD9D970A9, 0x8E8E8907, 0x9494A733, 0x9B9BB62D, 0x1E1E223C,
   0x87879215, 0xE9E920C9, 0xCECE4987, 0x5555FFAA, 0x28287850, 0xDFDF7AA5,
   0x8C8C8F03, 0xA1A1F859, 0x89898009, 0x0D0D171A, 0xBFBFDA65, 0xE6E631D7,
   0x4242C684, 0x6868B8D0, 0x4141C382, 0x9999B029, 0x2D2D775A, 0x0F0F111E,
   0xB0B0CB7B, 0x5454FCA8, 0xBBBBD66D, 0x16163A2C };

const u32bit TD[1024] = {
   0x51F4A750, 0x7E416553, 0x1A17A4C3, 0x3A275E96, 0x3BAB6BCB, 0x1F9D45F1,
   0xACFA58AB, 0x4BE30393, 0x2030FA55, 0xAD766DF6, 0x88CC7691, 0xF5024C25,
   0x4FE5D7FC, 0xC52ACBD7, 0x26354480, 0xB562A38F, 0xDEB15A49, 0x25BA1B67,
   0x45EA0E98, 0x5DFEC0E1, 0xC32F7502, 0x814CF012, 0x8D4697A3, 0x6BD3F9C6,
   0x038F5FE7, 0x15929C95, 0xBF6D7AEB, 0x955259DA, 0xD4BE832D, 0x587421D3,
   0x49E06929, 0x8EC9C844, 0x75C2896A, 0xF48E7978, 0x99583E6B, 0x27B971DD,
   0xBEE14FB6, 0xF088AD17, 0xC920AC66, 0x7DCE3AB4, 0x63DF4A18, 0xE51A3182,
   0x97513360, 0x62537F45, 0xB16477E0, 0xBB6BAE84, 0xFE81A01C, 0xF9082B94,
   0x70486858, 0x8F45FD19, 0x94DE6C87, 0x527BF8B7, 0xAB73D323, 0x724B02E2,
   0xE31F8F57, 0x6655AB2A, 0xB2EB2807, 0x2FB5C203, 0x86C57B9A, 0xD33708A5,
   0x302887F2, 0x23BFA5B2, 0x02036ABA, 0xED16825C, 0x8ACF1C2B, 0xA779B492,
   0xF307F2F0, 0x4E69E2A1, 0x65DAF4CD, 0x0605BED5, 0xD134621F, 0xC4A6FE8A,
   0x342E539D, 0xA2F355A0, 0x058AE132, 0xA4F6EB75, 0x0B83EC39, 0x4060EFAA,
   0x5E719F06, 0xBD6E1051, 0x3E218AF9, 0x96DD063D, 0xDD3E05AE, 0x4DE6BD46,
   0x91548DB5, 0x71C45D05, 0x0406D46F, 0x605015FF, 0x1998FB24, 0xD6BDE997,
   0x894043CC, 0x67D99E77, 0xB0E842BD, 0x07898B88, 0xE7195B38, 0x79C8EEDB,
   0xA17C0A47, 0x7C420FE9, 0xF8841EC9, 0x00000000, 0x09808683, 0x322BED48,
   0x1E1170AC, 0x6C5A724E, 0xFD0EFFFB, 0x0F853856, 0x3DAED51E, 0x362D3927,
   0x0A0FD964, 0x685CA621, 0x9B5B54D1, 0x24362E3A, 0x0C0A67B1, 0x9357E70F,
   0xB4EE96D2, 0x1B9B919E, 0x80C0C54F, 0x61DC20A2, 0x5A774B69, 0x1C121A16,
   0xE293BA0A, 0xC0A02AE5, 0x3C22E043, 0x121B171D, 0x0E090D0B, 0xF28BC7AD,
   0x2DB6A8B9, 0x141EA9C8, 0x57F11985, 0xAF75074C, 0xEE99DDBB, 0xA37F60FD,
   0xF701269F, 0x5C72F5BC, 0x44663BC5, 0x5BFB7E34, 0x8B432976, 0xCB23C6DC,
   0xB6EDFC68, 0xB8E4F163, 0xD731DCCA, 0x42638510, 0x13972240, 0x84C61120,
   0x854A247D, 0xD2BB3DF8, 0xAEF93211, 0xC729A16D, 0x1D9E2F4B, 0xDCB230F3,
   0x0D8652EC, 0x77C1E3D0, 0x2BB3166C, 0xA970B999, 0x119448FA, 0x47E96422,
   0xA8FC8CC4, 0xA0F03F1A, 0x567D2CD8, 0x223390EF, 0x87494EC7, 0xD938D1C1,
   0x8CCAA2FE, 0x98D40B36, 0xA6F581CF, 0xA57ADE28, 0xDAB78E26, 0x3FADBFA4,
   0x2C3A9DE4, 0x5078920D, 0x6A5FCC9B, 0x547E4662, 0xF68D13C2, 0x90D8B8E8,
   0x2E39F75E, 0x82C3AFF5, 0x9F5D80BE, 0x69D0937C, 0x6FD52DA9, 0xCF2512B3,
   0xC8AC993B, 0x10187DA7, 0xE89C636E, 0xDB3BBB7B, 0xCD267809, 0x6E5918F4,
   0xEC9AB701, 0x834F9AA8, 0xE6956E65, 0xAAFFE67E, 0x21BCCF08, 0xEF15E8E6,
   0xBAE79BD9, 0x4A6F36CE, 0xEA9F09D4, 0x29B07CD6, 0x31A4B2AF, 0x2A3F2331,
   0xC6A59430, 0x35A266C0, 0x744EBC37, 0xFC82CAA6, 0xE090D0B0, 0x33A7D815,
   0xF104984A, 0x41ECDAF7, 0x7FCD500E, 0x1791F62F, 0x764DD68D, 0x43EFB04D,
   0xCCAA4D54, 0xE49604DF, 0x9ED1B5E3, 0x4C6A881B, 0xC12C1FB8, 0x4665517F,
   0x9D5EEA04, 0x018C355D, 0xFA877473, 0xFB0B412E, 0xB3671D5A, 0x92DBD252,
   0xE9105633, 0x6DD64713, 0x9AD7618C, 0x37A10C7A, 0x59F8148E, 0xEB133C89,
   0xCEA927EE, 0xB761C935, 0xE11CE5ED, 0x7A47B13C, 0x9CD2DF59, 0x55F2733F,
   0x1814CE79, 0x73C737BF, 0x53F7CDEA, 0x5FFDAA5B, 0xDF3D6F14, 0x7844DB86,
   0xCAAFF381, 0xB968C43E, 0x3824342C, 0xC2A3405F, 0x161DC372, 0xBCE2250C,
   0x283C498B, 0xFF0D9541, 0x39A80171, 0x080CB3DE, 0xD8B4E49C, 0x6456C190,
   0x7BCB8461, 0xD532B670, 0x486C5C74, 0xD0B85742, 0x5051F4A7, 0x537E4165,
   0xC31A17A4, 0x963A275E, 0xCB3BAB6B, 0xF11F9D45, 0xABACFA58, 0x934BE303,
   0x552030FA, 0xF6AD766D, 0x9188CC76, 0x25F5024C, 0xFC4FE5D7, 0xD7C52ACB,
   0x80263544, 0x8FB562A3, 0x49DEB15A, 0x6725BA1B, 0x9845EA0E, 0xE15DFEC0,
   0x02C32F75, 0x12814CF0, 0xA38D4697, 0xC66BD3F9, 0xE7038F5F, 0x9515929C,
   0xEBBF6D7A, 0xDA955259, 0x2DD4BE83, 0xD3587421, 0x2949E069, 0x448EC9C8,
   0x6A75C289, 0x78F48E79, 0x6B99583E, 0xDD27B971, 0xB6BEE14F, 0x17F088AD,
   0x66C920AC, 0xB47DCE3A, 0x1863DF4A, 0x82E51A31, 0x60975133, 0x4562537F,
   0xE0B16477, 0x84BB6BAE, 0x1CFE81A0, 0x94F9082B, 0x58704868, 0x198F45FD,
   0x8794DE6C, 0xB7527BF8, 0x23AB73D3, 0xE2724B02, 0x57E31F8F, 0x2A6655AB,
   0x07B2EB28, 0x032FB5C2, 0x9A86C57B, 0xA5D33708, 0xF2302887, 0xB223BFA5,
   0xBA02036A, 0x5CED1682, 0x2B8ACF1C, 0x92A779B4, 0xF0F307F2, 0xA14E69E2,
   0xCD65DAF4, 0xD50605BE, 0x1FD13462, 0x8AC4A6FE, 0x9D342E53, 0xA0A2F355,
   0x32058AE1, 0x75A4F6EB, 0x390B83EC, 0xAA4060EF, 0x065E719F, 0x51BD6E10,
   0xF93E218A, 0x3D96DD06, 0xAEDD3E05, 0x464DE6BD, 0xB591548D, 0x0571C45D,
   0x6F0406D4, 0xFF605015, 0x241998FB, 0x97D6BDE9, 0xCC894043, 0x7767D99E,
   0xBDB0E842, 0x8807898B, 0x38E7195B, 0xDB79C8EE, 0x47A17C0A, 0xE97C420F,
   0xC9F8841E, 0x00000000, 0x83098086, 0x48322BED, 0xAC1E1170, 0x4E6C5A72,
   0xFBFD0EFF, 0x560F8538, 0x1E3DAED5, 0x27362D39, 0x640A0FD9, 0x21685CA6,
   0xD19B5B54, 0x3A24362E, 0xB10C0A67, 0x0F9357E7, 0xD2B4EE96, 0x9E1B9B91,
   0x4F80C0C5, 0xA261DC20, 0x695A774B, 0x161C121A, 0x0AE293BA, 0xE5C0A02A,
   0x433C22E0, 0x1D121B17, 0x0B0E090D, 0xADF28BC7, 0xB92DB6A8, 0xC8141EA9,
   0x8557F119, 0x4CAF7507, 0xBBEE99DD, 0xFDA37F60, 0x9FF70126, 0xBC5C72F5,
   0xC544663B, 0x345BFB7E, 0x768B4329, 0xDCCB23C6, 0x68B6EDFC, 0x63B8E4F1,
   0xCAD731DC, 0x10426385, 0x40139722, 0x2084C611, 0x7D854A24, 0xF8D2BB3D,
   0x11AEF932, 0x6DC729A1, 0x4B1D9E2F, 0xF3DCB230, 0xEC0D8652, 0xD077C1E3,
   0x6C2BB316, 0x99A970B9, 0xFA119448, 0x2247E964, 0xC4A8FC8C, 0x1AA0F03F,
   0xD8567D2C, 0xEF223390, 0xC787494E, 0xC1D938D1, 0xFE8CCAA2, 0x3698D40B,
   0xCFA6F581, 0x28A57ADE, 0x26DAB78E, 0xA43FADBF, 0xE42C3A9D, 0x0D507892,
   0x9B6A5FCC, 0x62547E46, 0xC2F68D13, 0xE890D8B8, 0x5E2E39F7, 0xF582C3AF,
   0xBE9F5D80, 0x7C69D093, 0xA96FD52D, 0xB3CF2512, 0x3BC8AC99, 0xA710187D,
   0x6EE89C63, 0x7BDB3BBB, 0x09CD2678, 0xF46E5918, 0x01EC9AB7, 0xA8834F9A,
   0x65E6956E, 0x7EAAFFE6, 0x0821BCCF, 0xE6EF15E8, 0xD9BAE79B, 0xCE4A6F36,
   0xD4EA9F09, 0xD629B07C, 0xAF31A4B2, 0x312A3F23, 0x30C6A594, 0xC035A266,
   0x37744EBC, 0xA6FC82CA, 0xB0E090D0, 0x1533A7D8, 0x4AF10498, 0xF741ECDA,
   0x0E7FCD50, 0x2F1791F6, 0x8D764DD6, 0x4D43EFB0, 0x54CCAA4D, 0xDFE49604,
   0xE39ED1B5, 0x1B4C6A88, 0xB8C12C1F, 0x7F466551, 0x049D5EEA, 0x5D018C35,
   0x73FA8774, 0x2EFB0B41, 0x5AB3671D, 0x5292DBD2, 0x33E91056, 0x136DD647,
   0x8C9AD761, 0x7A37A10C, 0x8E59F814, 0x89EB133C, 0xEECEA927, 0x35B761C9,
   0xEDE11CE5, 0x3C7A47B1, 0x599CD2DF, 0x3F55F273, 0x791814CE, 0xBF73C737,
   0xEA53F7CD, 0x5B5FFDAA, 0x14DF3D6F, 0x867844DB, 0x81CAAFF3, 0x3EB968C4,
   0x2C382434, 0x5FC2A340, 0x72161DC3, 0x0CBCE225, 0x8B283C49, 0x41FF0D95,
   0x7139A801, 0xDE080CB3, 0x9CD8B4E4, 0x906456C1, 0x617BCB84, 0x70D532B6,
   0x74486C5C, 0x42D0B857, 0xA75051F4, 0x65537E41, 0xA4C31A17, 0x5E963A27,
   0x6BCB3BAB, 0x45F11F9D, 0x58ABACFA, 0x03934BE3, 0xFA552030, 0x6DF6AD76,
   0x769188CC, 0x4C25F502, 0xD7FC4FE5, 0xCBD7C52A, 0x44802635, 0xA38FB562,
   0x5A49DEB1, 0x1B6725BA, 0x0E9845EA, 0xC0E15DFE, 0x7502C32F, 0xF012814C,
   0x97A38D46, 0xF9C66BD3, 0x5FE7038F, 0x9C951592, 0x7AEBBF6D, 0x59DA9552,
   0x832DD4BE, 0x21D35874, 0x692949E0, 0xC8448EC9, 0x896A75C2, 0x7978F48E,
   0x3E6B9958, 0x71DD27B9, 0x4FB6BEE1, 0xAD17F088, 0xAC66C920, 0x3AB47DCE,
   0x4A1863DF, 0x3182E51A, 0x33609751, 0x7F456253, 0x77E0B164, 0xAE84BB6B,
   0xA01CFE81, 0x2B94F908, 0x68587048, 0xFD198F45, 0x6C8794DE, 0xF8B7527B,
   0xD323AB73, 0x02E2724B, 0x8F57E31F, 0xAB2A6655, 0x2807B2EB, 0xC2032FB5,
   0x7B9A86C5, 0x08A5D337, 0x87F23028, 0xA5B223BF, 0x6ABA0203, 0x825CED16,
   0x1C2B8ACF, 0xB492A779, 0xF2F0F307, 0xE2A14E69, 0xF4CD65DA, 0xBED50605,
   0x621FD134, 0xFE8AC4A6, 0x539D342E, 0x55A0A2F3, 0xE132058A, 0xEB75A4F6,
   0xEC390B83, 0xEFAA4060, 0x9F065E71, 0x1051BD6E, 0x8AF93E21, 0x063D96DD,
   0x05AEDD3E, 0xBD464DE6, 0x8DB59154, 0x5D0571C4, 0xD46F0406, 0x15FF6050,
   0xFB241998, 0xE997D6BD, 0x43CC8940, 0x9E7767D9, 0x42BDB0E8, 0x8B880789,
   0x5B38E719, 0xEEDB79C8, 0x0A47A17C, 0x0FE97C42, 0x1EC9F884, 0x00000000,
   0x86830980, 0xED48322B, 0x70AC1E11, 0x724E6C5A, 0xFFFBFD0E, 0x38560F85,
   0xD51E3DAE, 0x3927362D, 0xD9640A0F, 0xA621685C, 0x54D19B5B, 0x2E3A2436,
   0x67B10C0A, 0xE70F9357, 0x96D2B4EE, 0x919E1B9B, 0xC54F80C0, 0x20A261DC,
   0x4B695A77, 0x1A161C12, 0xBA0AE293, 0x2AE5C0A0, 0xE0433C22, 0x171D121B,
   0x0D0B0E09, 0xC7ADF28B, 0xA8B92DB6, 0xA9C8141E, 0x198557F1, 0x074CAF75,
   0xDDBBEE99, 0x60FDA37F, 0x269FF701, 0xF5BC5C72, 0x3BC54466, 0x7E345BFB,
   0x29768B43, 0xC6DCCB23, 0xFC68B6ED, 0xF163B8E4, 0xDCCAD731, 0x85104263,
   0x22401397, 0x112084C6, 0x247D854A, 0x3DF8D2BB, 0x3211AEF9, 0xA16DC729,
   0x2F4B1D9E, 0x30F3DCB2, 0x52EC0D86, 0xE3D077C1, 0x166C2BB3, 0xB999A970,
   0x48FA1194, 0x642247E9, 0x8CC4A8FC, 0x3F1AA0F0, 0x2CD8567D, 0x90EF2233,
   0x4EC78749, 0xD1C1D938, 0xA2FE8CCA, 0x0B3698D4, 0x81CFA6F5, 0xDE28A57A,
   0x8E26DAB7, 0xBFA43FAD, 0x9DE42C3A, 0x920D5078, 0xCC9B6A5F, 0x4662547E,
   0x13C2F68D, 0xB8E890D8, 0xF75E2E39, 0xAFF582C3, 0x80BE9F5D, 0x937C69D0,
   0x2DA96FD5, 0x12B3CF25, 0x993BC8AC, 0x7DA71018, 0x636EE89C, 0xBB7BDB3B,
   0x7809CD26, 0x18F46E59, 0xB701EC9A, 0x9AA8834F, 0x6E65E695, 0xE67EAAFF,
   0xCF0821BC, 0xE8E6EF15, 0x9BD9BAE7, 0x36CE4A6F, 0x09D4EA9F, 0x7CD629B0,
   0xB2AF31A4, 0x23312A3F, 0x9430C6A5, 0x66C035A2, 0xBC37744E, 0xCAA6FC82,
   0xD0B0E090, 0xD81533A7, 0x984AF104, 0xDAF741EC, 0x500E7FCD, 0xF62F1791,
   0xD68D764D, 0xB04D43EF, 0x4D54CCAA, 0x04DFE496, 0xB5E39ED1, 0x881B4C6A,
   0x1FB8C12C, 0x517F4665, 0xEA049D5E, 0x355D018C, 0x7473FA87, 0x412EFB0B,
   0x1D5AB367, 0xD25292DB, 0x5633E910, 0x47136DD6, 0x618C9AD7, 0x0C7A37A1,
   0x148E59F8, 0x3C89EB13, 0x27EECEA9, 0xC935B761, 0xE5EDE11C, 0xB13C7A47,
   0xDF599CD2, 0x733F55F2, 0xCE791814, 0x37BF73C7, 0xCDEA53F7, 0xAA5B5FFD,
   0x6F14DF3D, 0xDB867844, 0xF381CAAF, 0xC43EB968, 0x342C3824, 0x405FC2A3,
   0xC372161D, 0x250CBCE2, 0x498B283C, 0x9541FF0D, 0x017139A8, 0xB3DE080C,
   0xE49CD8B4, 0xC1906456, 0x84617BCB, 0xB670D532, 0x5C74486C, 0x5742D0B8,
   0xF4A75051, 0x4165537E, 0x17A4C31A, 0x275E963A, 0xAB6BCB3B, 0x9D45F11F,
   0xFA58ABAC, 0xE303934B, 0x30FA5520, 0x766DF6AD, 0xCC769188, 0x024C25F5,
   0xE5D7FC4F, 0x2ACBD7C5, 0x35448026, 0x62A38FB5, 0xB15A49DE, 0xBA1B6725,
   0xEA0E9845, 0xFEC0E15D, 0x2F7502C3, 0x4CF01281, 0x4697A38D, 0xD3F9C66B,
   0x8F5FE703, 0x929C9515, 0x6D7AEBBF, 0x5259DA95, 0xBE832DD4, 0x7421D358,
   0xE0692949, 0xC9C8448E, 0xC2896A75, 0x8E7978F4, 0x583E6B99, 0xB971DD27,
   0xE14FB6BE, 0x88AD17F0, 0x20AC66C9, 0xCE3AB47D, 0xDF4A1863, 0x1A3182E5,
   0x51336097, 0x537F4562, 0x6477E0B1, 0x6BAE84BB, 0x81A01CFE, 0x082B94F9,
   0x48685870, 0x45FD198F, 0xDE6C8794, 0x7BF8B752, 0x73D323AB, 0x4B02E272,
   0x1F8F57E3, 0x55AB2A66, 0xEB2807B2, 0xB5C2032F, 0xC57B9A86, 0x3708A5D3,
   0x2887F230, 0xBFA5B223, 0x036ABA02, 0x16825CED, 0xCF1C2B8A, 0x79B492A7,
   0x07F2F0F3, 0x69E2A14E, 0xDAF4CD65, 0x05BED506, 0x34621FD1, 0xA6FE8AC4,
   0x2E539D34, 0xF355A0A2, 0x8AE13205, 0xF6EB75A4, 0x83EC390B, 0x60EFAA40,
   0x719F065E, 0x6E1051BD, 0x218AF93E, 0xDD063D96, 0x3E05AEDD, 0xE6BD464D,
   0x548DB591, 0xC45D0571, 0x06D46F04, 0x5015FF60, 0x98FB2419, 0xBDE997D6,
   0x4043CC89, 0xD99E7767, 0xE842BDB0, 0x898B8807, 0x195B38E7, 0xC8EEDB79,
   0x7C0A47A1, 0x420FE97C, 0x841EC9F8, 0x00000000, 0x80868309, 0x2BED4832,
   0x1170AC1E, 0x5A724E6C, 0x0EFFFBFD, 0x8538560F, 0xAED51E3D, 0x2D392736,
   0x0FD9640A, 0x5CA62168, 0x5B54D19B, 0x362E3A24, 0x0A67B10C, 0x57E70F93,
   0xEE96D2B4, 0x9B919E1B, 0xC0C54F80, 0xDC20A261, 0x774B695A, 0x121A161C,
   0x93BA0AE2, 0xA02AE5C0, 0x22E0433C, 0x1B171D12, 0x090D0B0E, 0x8BC7ADF2,
   0xB6A8B92D, 0x1EA9C814, 0xF1198557, 0x75074CAF, 0x99DDBBEE, 0x7F60FDA3,
   0x01269FF7, 0x72F5BC5C, 0x663BC544, 0xFB7E345B, 0x4329768B, 0x23C6DCCB,
   0xEDFC68B6, 0xE4F163B8, 0x31DCCAD7, 0x63851042, 0x97224013, 0xC6112084,
   0x4A247D85, 0xBB3DF8D2, 0xF93211AE, 0x29A16DC7, 0x9E2F4B1D, 0xB230F3DC,
   0x8652EC0D, 0xC1E3D077, 0xB3166C2B, 0x70B999A9, 0x9448FA11, 0xE9642247,
   0xFC8CC4A8, 0xF03F1AA0, 0x7D2CD856, 0x3390EF22, 0x494EC787, 0x38D1C1D9,
   0xCAA2FE8C, 0xD40B3698, 0xF581CFA6, 0x7ADE28A5, 0xB78E26DA, 0xADBFA43F,
   0x3A9DE42C, 0x78920D50, 0x5FCC9B6A, 0x7E466254, 0x8D13C2F6, 0xD8B8E890,
   0x39F75E2E, 0xC3AFF582, 0x5D80BE9F, 0xD0937C69, 0xD52DA96F, 0x2512B3CF,
   0xAC993BC8, 0x187DA710, 0x9C636EE8, 0x3BBB7BDB, 0x267809CD, 0x5918F46E,
   0x9AB701EC, 0x4F9AA883, 0x956E65E6, 0xFFE67EAA, 0xBCCF0821, 0x15E8E6EF,
   0xE79BD9BA, 0x6F36CE4A, 0x9F09D4EA, 0xB07CD629, 0xA4B2AF31, 0x3F23312A,
   0xA59430C6, 0xA266C035, 0x4EBC3774, 0x82CAA6FC, 0x90D0B0E0, 0xA7D81533,
   0x04984AF1, 0xECDAF741, 0xCD500E7F, 0x91F62F17, 0x4DD68D76, 0xEFB04D43,
   0xAA4D54CC, 0x9604DFE4, 0xD1B5E39E, 0x6A881B4C, 0x2C1FB8C1, 0x65517F46,
   0x5EEA049D, 0x8C355D01, 0x877473FA, 0x0B412EFB, 0x671D5AB3, 0xDBD25292,
   0x105633E9, 0xD647136D, 0xD7618C9A, 0xA10C7A37, 0xF8148E59, 0x133C89EB,
   0xA927EECE, 0x61C935B7, 0x1CE5EDE1, 0x47B13C7A, 0xD2DF599C, 0xF2733F55,
   0x14CE7918, 0xC737BF73, 0xF7CDEA53, 0xFDAA5B5F, 0x3D6F14DF, 0x44DB8678,
   0xAFF381CA, 0x68C43EB9, 0x24342C38, 0xA3405FC2, 0x1DC37216, 0xE2250CBC,
   0x3C498B28, 0x0D9541FF, 0xA8017139, 0x0CB3DE08, 0xB4E49CD8, 0x56C19064,
   0xCB84617B, 0x32B670D5, 0x6C5C7448, 0xB85742D0 };

}

/**
* AES Encryption
*/
void AES::encrypt_n(const byte in[], byte out[], u32bit blocks) const
   {
   const u32bit* TE0 = TE;
   const u32bit* TE1 = TE + 256;
   const u32bit* TE2 = TE + 512;
   const u32bit* TE3 = TE + 768;

   for(u32bit i = 0; i != blocks; ++i)
      {
      u32bit T0 = load_be<u32bit>(in, 0) ^ EK[0];
      u32bit T1 = load_be<u32bit>(in, 1) ^ EK[1];
      u32bit T2 = load_be<u32bit>(in, 2) ^ EK[2];
      u32bit T3 = load_be<u32bit>(in, 3) ^ EK[3];

      u32bit B0, B1, B2, B3;
      B0 = TE0[get_byte(0, T0)] ^ TE1[get_byte(1, T1)] ^
           TE2[get_byte(2, T2)] ^ TE3[get_byte(3, T3)] ^ EK[4];
      B1 = TE0[get_byte(0, T1)] ^ TE1[get_byte(1, T2)] ^
           TE2[get_byte(2, T3)] ^ TE3[get_byte(3, T0)] ^ EK[5];
      B2 = TE0[get_byte(0, T2)] ^ TE1[get_byte(1, T3)] ^
           TE2[get_byte(2, T0)] ^ TE3[get_byte(3, T1)] ^ EK[6];
      B3 = TE0[get_byte(0, T3)] ^ TE1[get_byte(1, T0)] ^
           TE2[get_byte(2, T1)] ^ TE3[get_byte(3, T2)] ^ EK[7];

      for(u32bit j = 2; j != ROUNDS; j += 2)
         {
         const u32bit K0 = EK[4*j];
         const u32bit K1 = EK[4*j+1];
         const u32bit K2 = EK[4*j+2];
         const u32bit K3 = EK[4*j+3];

         T0 = TE0[get_byte(0, B0)] ^ TE1[get_byte(1, B1)] ^
              TE2[get_byte(2, B2)] ^ TE3[get_byte(3, B3)] ^ K0;
         T1 = TE0[get_byte(0, B1)] ^ TE1[get_byte(1, B2)] ^
              TE2[get_byte(2, B3)] ^ TE3[get_byte(3, B0)] ^ K1;
         T2 = TE0[get_byte(0, B2)] ^ TE1[get_byte(1, B3)] ^
              TE2[get_byte(2, B0)] ^ TE3[get_byte(3, B1)] ^ K2;
         T3 = TE0[get_byte(0, B3)] ^ TE1[get_byte(1, B0)] ^
              TE2[get_byte(2, B1)] ^ TE3[get_byte(3, B2)] ^ K3;

         const u32bit K4 = EK[4*(j+1)+0];
         const u32bit K5 = EK[4*(j+1)+1];
         const u32bit K6 = EK[4*(j+1)+2];
         const u32bit K7 = EK[4*(j+1)+3];

         B0 = TE0[get_byte(0, T0)] ^ TE1[get_byte(1, T1)] ^
              TE2[get_byte(2, T2)] ^ TE3[get_byte(3, T3)] ^ K4;
         B1 = TE0[get_byte(0, T1)] ^ TE1[get_byte(1, T2)] ^
              TE2[get_byte(2, T3)] ^ TE3[get_byte(3, T0)] ^ K5;
         B2 = TE0[get_byte(0, T2)] ^ TE1[get_byte(1, T3)] ^
              TE2[get_byte(2, T0)] ^ TE3[get_byte(3, T1)] ^ K6;
         B3 = TE0[get_byte(0, T3)] ^ TE1[get_byte(1, T0)] ^
              TE2[get_byte(2, T1)] ^ TE3[get_byte(3, T2)] ^ K7;
         }

      /*
      Joseph Bonneau and Ilya Mironov's paper
      <a href = "http://icme2007.org/users/mironov/papers/aes-timing.pdf">
      Cache-Collision Timing Attacks Against AES</a> describes an attack
      that can recover AES keys with as few as 2<sup>13</sup> samples.

      """In addition to OpenSSL v. 0.9.8.(a), which was used in our
      experiments, the AES implementations of Crypto++ 5.2.1 and
      LibTomCrypt 1.09 use the original Rijndael C implementation with
      very few changes and are highly vulnerable. The AES implementations
      in libgcrypt v. 1.2.2 and Botan v. 1.4.2 are also vulnerable, but
      use a smaller byte-wide final table which lessens the effectiveness
      of the attacks."""
      */
      out[ 0] = SE[get_byte(0, B0)] ^ ME[0];
      out[ 1] = SE[get_byte(1, B1)] ^ ME[1];
      out[ 2] = SE[get_byte(2, B2)] ^ ME[2];
      out[ 3] = SE[get_byte(3, B3)] ^ ME[3];
      out[ 4] = SE[get_byte(0, B1)] ^ ME[4];
      out[ 5] = SE[get_byte(1, B2)] ^ ME[5];
      out[ 6] = SE[get_byte(2, B3)] ^ ME[6];
      out[ 7] = SE[get_byte(3, B0)] ^ ME[7];
      out[ 8] = SE[get_byte(0, B2)] ^ ME[8];
      out[ 9] = SE[get_byte(1, B3)] ^ ME[9];
      out[10] = SE[get_byte(2, B0)] ^ ME[10];
      out[11] = SE[get_byte(3, B1)] ^ ME[11];
      out[12] = SE[get_byte(0, B3)] ^ ME[12];
      out[13] = SE[get_byte(1, B0)] ^ ME[13];
      out[14] = SE[get_byte(2, B1)] ^ ME[14];
      out[15] = SE[get_byte(3, B2)] ^ ME[15];

      in += BLOCK_SIZE;
      out += BLOCK_SIZE;
      }
   }

/**
* AES Decryption
*/
void AES::decrypt_n(const byte in[], byte out[], u32bit blocks) const
   {
   const u32bit* TD0 = TD;
   const u32bit* TD1 = TD + 256;
   const u32bit* TD2 = TD + 512;
   const u32bit* TD3 = TD + 768;

   for(u32bit i = 0; i != blocks; ++i)
      {
      u32bit T0 = load_be<u32bit>(in, 0) ^ DK[0];
      u32bit T1 = load_be<u32bit>(in, 1) ^ DK[1];
      u32bit T2 = load_be<u32bit>(in, 2) ^ DK[2];
      u32bit T3 = load_be<u32bit>(in, 3) ^ DK[3];

      u32bit B0, B1, B2, B3;
      B0 = TD0[get_byte(0, T0)] ^ TD1[get_byte(1, T3)] ^
           TD2[get_byte(2, T2)] ^ TD3[get_byte(3, T1)] ^ DK[4];
      B1 = TD0[get_byte(0, T1)] ^ TD1[get_byte(1, T0)] ^
           TD2[get_byte(2, T3)] ^ TD3[get_byte(3, T2)] ^ DK[5];
      B2 = TD0[get_byte(0, T2)] ^ TD1[get_byte(1, T1)] ^
           TD2[get_byte(2, T0)] ^ TD3[get_byte(3, T3)] ^ DK[6];
      B3 = TD0[get_byte(0, T3)] ^ TD1[get_byte(1, T2)] ^
           TD2[get_byte(2, T1)] ^ TD3[get_byte(3, T0)] ^ DK[7];

      for(u32bit j = 2; j != ROUNDS; j += 2)
         {
         const u32bit K0 = DK[4*j+0];
         const u32bit K1 = DK[4*j+1];
         const u32bit K2 = DK[4*j+2];
         const u32bit K3 = DK[4*j+3];

         T0 = TD0[get_byte(0, B0)] ^ TD1[get_byte(1, B3)] ^
              TD2[get_byte(2, B2)] ^ TD3[get_byte(3, B1)] ^ K0;
         T1 = TD0[get_byte(0, B1)] ^ TD1[get_byte(1, B0)] ^
              TD2[get_byte(2, B3)] ^ TD3[get_byte(3, B2)] ^ K1;
         T2 = TD0[get_byte(0, B2)] ^ TD1[get_byte(1, B1)] ^
              TD2[get_byte(2, B0)] ^ TD3[get_byte(3, B3)] ^ K2;
         T3 = TD0[get_byte(0, B3)] ^ TD1[get_byte(1, B2)] ^
              TD2[get_byte(2, B1)] ^ TD3[get_byte(3, B0)] ^ K3;

         const u32bit K4 = DK[4*(j+1)+0];
         const u32bit K5 = DK[4*(j+1)+1];
         const u32bit K6 = DK[4*(j+1)+2];
         const u32bit K7 = DK[4*(j+1)+3];

         B0 = TD0[get_byte(0, T0)] ^ TD1[get_byte(1, T3)] ^
              TD2[get_byte(2, T2)] ^ TD3[get_byte(3, T1)] ^ K4;
         B1 = TD0[get_byte(0, T1)] ^ TD1[get_byte(1, T0)] ^
              TD2[get_byte(2, T3)] ^ TD3[get_byte(3, T2)] ^ K5;
         B2 = TD0[get_byte(0, T2)] ^ TD1[get_byte(1, T1)] ^
              TD2[get_byte(2, T0)] ^ TD3[get_byte(3, T3)] ^ K6;
         B3 = TD0[get_byte(0, T3)] ^ TD1[get_byte(1, T2)] ^
              TD2[get_byte(2, T1)] ^ TD3[get_byte(3, T0)] ^ K7;
         }

      out[ 0] = SD[get_byte(0, B0)] ^ MD[0];
      out[ 1] = SD[get_byte(1, B3)] ^ MD[1];
      out[ 2] = SD[get_byte(2, B2)] ^ MD[2];
      out[ 3] = SD[get_byte(3, B1)] ^ MD[3];
      out[ 4] = SD[get_byte(0, B1)] ^ MD[4];
      out[ 5] = SD[get_byte(1, B0)] ^ MD[5];
      out[ 6] = SD[get_byte(2, B3)] ^ MD[6];
      out[ 7] = SD[get_byte(3, B2)] ^ MD[7];
      out[ 8] = SD[get_byte(0, B2)] ^ MD[8];
      out[ 9] = SD[get_byte(1, B1)] ^ MD[9];
      out[10] = SD[get_byte(2, B0)] ^ MD[10];
      out[11] = SD[get_byte(3, B3)] ^ MD[11];
      out[12] = SD[get_byte(0, B3)] ^ MD[12];
      out[13] = SD[get_byte(1, B2)] ^ MD[13];
      out[14] = SD[get_byte(2, B1)] ^ MD[14];
      out[15] = SD[get_byte(3, B0)] ^ MD[15];

      in += BLOCK_SIZE;
      out += BLOCK_SIZE;
      }
   }

/**
* AES Key Schedule
*/
void AES::key_schedule(const byte key[], u32bit length)
   {
   static const u32bit RC[10] = {
      0x01000000, 0x02000000, 0x04000000, 0x08000000, 0x10000000, 0x20000000,
      0x40000000, 0x80000000, 0x1B000000, 0x36000000 };

   ROUNDS = (length / 4) + 6;

   SecureVector<u32bit, 64> XEK, XDK;

   const u32bit X = length / 4;
   for(u32bit j = 0; j != X; ++j)
      XEK[j] = load_be<u32bit>(key, j);

   for(u32bit j = X; j < 4*(ROUNDS+1); j += X)
      {
      XEK[j] = XEK[j-X] ^ S(rotate_left(XEK[j-1], 8)) ^ RC[(j-X)/X];
      for(u32bit k = 1; k != X; ++k)
         {
         if(X == 8 && k == 4)
            XEK[j+k] = XEK[j+k-X] ^ S(XEK[j+k-1]);
         else
            XEK[j+k] = XEK[j+k-X] ^ XEK[j+k-1];
         }
      }

   for(u32bit j = 0; j != 4*(ROUNDS+1); j += 4)
      {
      XDK[j  ] = XEK[4*ROUNDS-j  ];
      XDK[j+1] = XEK[4*ROUNDS-j+1];
      XDK[j+2] = XEK[4*ROUNDS-j+2];
      XDK[j+3] = XEK[4*ROUNDS-j+3];
      }

   for(u32bit j = 4; j != length + 24; ++j)
      XDK[j] = TD[SE[get_byte(0, XDK[j])] +   0] ^
               TD[SE[get_byte(1, XDK[j])] + 256] ^
               TD[SE[get_byte(2, XDK[j])] + 512] ^
               TD[SE[get_byte(3, XDK[j])] + 768];

   for(u32bit j = 0; j != 4; ++j)
      {
      store_be(XEK[j+4*ROUNDS], ME + 4*j);
      store_be(XEK[j], MD + 4*j);
      }

   EK.copy(XEK, length + 24);
   DK.copy(XDK, length + 24);
   }

/**
* AES Byte Substitution
*/
u32bit AES::S(u32bit input)
   {
   return make_u32bit(SE[get_byte(0, input)], SE[get_byte(1, input)],
                      SE[get_byte(2, input)], SE[get_byte(3, input)]);
   }

/**
* AES Constructor
*/
AES::AES(u32bit key_size) : BlockCipher(16, key_size)
   {
   if(key_size != 16 && key_size != 24 && key_size != 32)
      throw Invalid_Key_Length(name(), key_size);
   ROUNDS = (key_size / 4) + 6;
   }

/**
* Clear memory of sensitive data
*/
void AES::clear()
   {
   EK.clear();
   DK.clear();
   ME.clear();
   MD.clear();
   }

}