Botan 1.10.17
aes.cpp
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1/*
2* AES
3* (C) 1999-2010 Jack Lloyd
4*
5* Based on the public domain reference implemenation
6*
7* Distributed under the terms of the Botan license
8*/
9
10#include <botan/aes.h>
11#include <botan/loadstor.h>
12#include <botan/rotate.h>
13#include <botan/internal/assert.h>
14
15namespace Botan {
16
17namespace {
18
19const byte SE[256] = {
20 0x63, 0x7C, 0x77, 0x7B, 0xF2, 0x6B, 0x6F, 0xC5, 0x30, 0x01, 0x67, 0x2B,
21 0xFE, 0xD7, 0xAB, 0x76, 0xCA, 0x82, 0xC9, 0x7D, 0xFA, 0x59, 0x47, 0xF0,
22 0xAD, 0xD4, 0xA2, 0xAF, 0x9C, 0xA4, 0x72, 0xC0, 0xB7, 0xFD, 0x93, 0x26,
23 0x36, 0x3F, 0xF7, 0xCC, 0x34, 0xA5, 0xE5, 0xF1, 0x71, 0xD8, 0x31, 0x15,
24 0x04, 0xC7, 0x23, 0xC3, 0x18, 0x96, 0x05, 0x9A, 0x07, 0x12, 0x80, 0xE2,
25 0xEB, 0x27, 0xB2, 0x75, 0x09, 0x83, 0x2C, 0x1A, 0x1B, 0x6E, 0x5A, 0xA0,
26 0x52, 0x3B, 0xD6, 0xB3, 0x29, 0xE3, 0x2F, 0x84, 0x53, 0xD1, 0x00, 0xED,
27 0x20, 0xFC, 0xB1, 0x5B, 0x6A, 0xCB, 0xBE, 0x39, 0x4A, 0x4C, 0x58, 0xCF,
28 0xD0, 0xEF, 0xAA, 0xFB, 0x43, 0x4D, 0x33, 0x85, 0x45, 0xF9, 0x02, 0x7F,
29 0x50, 0x3C, 0x9F, 0xA8, 0x51, 0xA3, 0x40, 0x8F, 0x92, 0x9D, 0x38, 0xF5,
30 0xBC, 0xB6, 0xDA, 0x21, 0x10, 0xFF, 0xF3, 0xD2, 0xCD, 0x0C, 0x13, 0xEC,
31 0x5F, 0x97, 0x44, 0x17, 0xC4, 0xA7, 0x7E, 0x3D, 0x64, 0x5D, 0x19, 0x73,
32 0x60, 0x81, 0x4F, 0xDC, 0x22, 0x2A, 0x90, 0x88, 0x46, 0xEE, 0xB8, 0x14,
33 0xDE, 0x5E, 0x0B, 0xDB, 0xE0, 0x32, 0x3A, 0x0A, 0x49, 0x06, 0x24, 0x5C,
34 0xC2, 0xD3, 0xAC, 0x62, 0x91, 0x95, 0xE4, 0x79, 0xE7, 0xC8, 0x37, 0x6D,
35 0x8D, 0xD5, 0x4E, 0xA9, 0x6C, 0x56, 0xF4, 0xEA, 0x65, 0x7A, 0xAE, 0x08,
36 0xBA, 0x78, 0x25, 0x2E, 0x1C, 0xA6, 0xB4, 0xC6, 0xE8, 0xDD, 0x74, 0x1F,
37 0x4B, 0xBD, 0x8B, 0x8A, 0x70, 0x3E, 0xB5, 0x66, 0x48, 0x03, 0xF6, 0x0E,
38 0x61, 0x35, 0x57, 0xB9, 0x86, 0xC1, 0x1D, 0x9E, 0xE1, 0xF8, 0x98, 0x11,
39 0x69, 0xD9, 0x8E, 0x94, 0x9B, 0x1E, 0x87, 0xE9, 0xCE, 0x55, 0x28, 0xDF,
40 0x8C, 0xA1, 0x89, 0x0D, 0xBF, 0xE6, 0x42, 0x68, 0x41, 0x99, 0x2D, 0x0F,
41 0xB0, 0x54, 0xBB, 0x16 };
42
43const byte SD[256] = {
44 0x52, 0x09, 0x6A, 0xD5, 0x30, 0x36, 0xA5, 0x38, 0xBF, 0x40, 0xA3, 0x9E,
45 0x81, 0xF3, 0xD7, 0xFB, 0x7C, 0xE3, 0x39, 0x82, 0x9B, 0x2F, 0xFF, 0x87,
46 0x34, 0x8E, 0x43, 0x44, 0xC4, 0xDE, 0xE9, 0xCB, 0x54, 0x7B, 0x94, 0x32,
47 0xA6, 0xC2, 0x23, 0x3D, 0xEE, 0x4C, 0x95, 0x0B, 0x42, 0xFA, 0xC3, 0x4E,
48 0x08, 0x2E, 0xA1, 0x66, 0x28, 0xD9, 0x24, 0xB2, 0x76, 0x5B, 0xA2, 0x49,
49 0x6D, 0x8B, 0xD1, 0x25, 0x72, 0xF8, 0xF6, 0x64, 0x86, 0x68, 0x98, 0x16,
50 0xD4, 0xA4, 0x5C, 0xCC, 0x5D, 0x65, 0xB6, 0x92, 0x6C, 0x70, 0x48, 0x50,
51 0xFD, 0xED, 0xB9, 0xDA, 0x5E, 0x15, 0x46, 0x57, 0xA7, 0x8D, 0x9D, 0x84,
52 0x90, 0xD8, 0xAB, 0x00, 0x8C, 0xBC, 0xD3, 0x0A, 0xF7, 0xE4, 0x58, 0x05,
53 0xB8, 0xB3, 0x45, 0x06, 0xD0, 0x2C, 0x1E, 0x8F, 0xCA, 0x3F, 0x0F, 0x02,
54 0xC1, 0xAF, 0xBD, 0x03, 0x01, 0x13, 0x8A, 0x6B, 0x3A, 0x91, 0x11, 0x41,
55 0x4F, 0x67, 0xDC, 0xEA, 0x97, 0xF2, 0xCF, 0xCE, 0xF0, 0xB4, 0xE6, 0x73,
56 0x96, 0xAC, 0x74, 0x22, 0xE7, 0xAD, 0x35, 0x85, 0xE2, 0xF9, 0x37, 0xE8,
57 0x1C, 0x75, 0xDF, 0x6E, 0x47, 0xF1, 0x1A, 0x71, 0x1D, 0x29, 0xC5, 0x89,
58 0x6F, 0xB7, 0x62, 0x0E, 0xAA, 0x18, 0xBE, 0x1B, 0xFC, 0x56, 0x3E, 0x4B,
59 0xC6, 0xD2, 0x79, 0x20, 0x9A, 0xDB, 0xC0, 0xFE, 0x78, 0xCD, 0x5A, 0xF4,
60 0x1F, 0xDD, 0xA8, 0x33, 0x88, 0x07, 0xC7, 0x31, 0xB1, 0x12, 0x10, 0x59,
61 0x27, 0x80, 0xEC, 0x5F, 0x60, 0x51, 0x7F, 0xA9, 0x19, 0xB5, 0x4A, 0x0D,
62 0x2D, 0xE5, 0x7A, 0x9F, 0x93, 0xC9, 0x9C, 0xEF, 0xA0, 0xE0, 0x3B, 0x4D,
63 0xAE, 0x2A, 0xF5, 0xB0, 0xC8, 0xEB, 0xBB, 0x3C, 0x83, 0x53, 0x99, 0x61,
64 0x17, 0x2B, 0x04, 0x7E, 0xBA, 0x77, 0xD6, 0x26, 0xE1, 0x69, 0x14, 0x63,
65 0x55, 0x21, 0x0C, 0x7D };
66
67const u32bit TE[1024] = {
68 0xC66363A5, 0xF87C7C84, 0xEE777799, 0xF67B7B8D, 0xFFF2F20D, 0xD66B6BBD,
69 0xDE6F6FB1, 0x91C5C554, 0x60303050, 0x02010103, 0xCE6767A9, 0x562B2B7D,
70 0xE7FEFE19, 0xB5D7D762, 0x4DABABE6, 0xEC76769A, 0x8FCACA45, 0x1F82829D,
71 0x89C9C940, 0xFA7D7D87, 0xEFFAFA15, 0xB25959EB, 0x8E4747C9, 0xFBF0F00B,
72 0x41ADADEC, 0xB3D4D467, 0x5FA2A2FD, 0x45AFAFEA, 0x239C9CBF, 0x53A4A4F7,
73 0xE4727296, 0x9BC0C05B, 0x75B7B7C2, 0xE1FDFD1C, 0x3D9393AE, 0x4C26266A,
74 0x6C36365A, 0x7E3F3F41, 0xF5F7F702, 0x83CCCC4F, 0x6834345C, 0x51A5A5F4,
75 0xD1E5E534, 0xF9F1F108, 0xE2717193, 0xABD8D873, 0x62313153, 0x2A15153F,
76 0x0804040C, 0x95C7C752, 0x46232365, 0x9DC3C35E, 0x30181828, 0x379696A1,
77 0x0A05050F, 0x2F9A9AB5, 0x0E070709, 0x24121236, 0x1B80809B, 0xDFE2E23D,
78 0xCDEBEB26, 0x4E272769, 0x7FB2B2CD, 0xEA75759F, 0x1209091B, 0x1D83839E,
79 0x582C2C74, 0x341A1A2E, 0x361B1B2D, 0xDC6E6EB2, 0xB45A5AEE, 0x5BA0A0FB,
80 0xA45252F6, 0x763B3B4D, 0xB7D6D661, 0x7DB3B3CE, 0x5229297B, 0xDDE3E33E,
81 0x5E2F2F71, 0x13848497, 0xA65353F5, 0xB9D1D168, 0x00000000, 0xC1EDED2C,
82 0x40202060, 0xE3FCFC1F, 0x79B1B1C8, 0xB65B5BED, 0xD46A6ABE, 0x8DCBCB46,
83 0x67BEBED9, 0x7239394B, 0x944A4ADE, 0x984C4CD4, 0xB05858E8, 0x85CFCF4A,
84 0xBBD0D06B, 0xC5EFEF2A, 0x4FAAAAE5, 0xEDFBFB16, 0x864343C5, 0x9A4D4DD7,
85 0x66333355, 0x11858594, 0x8A4545CF, 0xE9F9F910, 0x04020206, 0xFE7F7F81,
86 0xA05050F0, 0x783C3C44, 0x259F9FBA, 0x4BA8A8E3, 0xA25151F3, 0x5DA3A3FE,
87 0x804040C0, 0x058F8F8A, 0x3F9292AD, 0x219D9DBC, 0x70383848, 0xF1F5F504,
88 0x63BCBCDF, 0x77B6B6C1, 0xAFDADA75, 0x42212163, 0x20101030, 0xE5FFFF1A,
89 0xFDF3F30E, 0xBFD2D26D, 0x81CDCD4C, 0x180C0C14, 0x26131335, 0xC3ECEC2F,
90 0xBE5F5FE1, 0x359797A2, 0x884444CC, 0x2E171739, 0x93C4C457, 0x55A7A7F2,
91 0xFC7E7E82, 0x7A3D3D47, 0xC86464AC, 0xBA5D5DE7, 0x3219192B, 0xE6737395,
92 0xC06060A0, 0x19818198, 0x9E4F4FD1, 0xA3DCDC7F, 0x44222266, 0x542A2A7E,
93 0x3B9090AB, 0x0B888883, 0x8C4646CA, 0xC7EEEE29, 0x6BB8B8D3, 0x2814143C,
94 0xA7DEDE79, 0xBC5E5EE2, 0x160B0B1D, 0xADDBDB76, 0xDBE0E03B, 0x64323256,
95 0x743A3A4E, 0x140A0A1E, 0x924949DB, 0x0C06060A, 0x4824246C, 0xB85C5CE4,
96 0x9FC2C25D, 0xBDD3D36E, 0x43ACACEF, 0xC46262A6, 0x399191A8, 0x319595A4,
97 0xD3E4E437, 0xF279798B, 0xD5E7E732, 0x8BC8C843, 0x6E373759, 0xDA6D6DB7,
98 0x018D8D8C, 0xB1D5D564, 0x9C4E4ED2, 0x49A9A9E0, 0xD86C6CB4, 0xAC5656FA,
99 0xF3F4F407, 0xCFEAEA25, 0xCA6565AF, 0xF47A7A8E, 0x47AEAEE9, 0x10080818,
100 0x6FBABAD5, 0xF0787888, 0x4A25256F, 0x5C2E2E72, 0x381C1C24, 0x57A6A6F1,
101 0x73B4B4C7, 0x97C6C651, 0xCBE8E823, 0xA1DDDD7C, 0xE874749C, 0x3E1F1F21,
102 0x964B4BDD, 0x61BDBDDC, 0x0D8B8B86, 0x0F8A8A85, 0xE0707090, 0x7C3E3E42,
103 0x71B5B5C4, 0xCC6666AA, 0x904848D8, 0x06030305, 0xF7F6F601, 0x1C0E0E12,
104 0xC26161A3, 0x6A35355F, 0xAE5757F9, 0x69B9B9D0, 0x17868691, 0x99C1C158,
105 0x3A1D1D27, 0x279E9EB9, 0xD9E1E138, 0xEBF8F813, 0x2B9898B3, 0x22111133,
106 0xD26969BB, 0xA9D9D970, 0x078E8E89, 0x339494A7, 0x2D9B9BB6, 0x3C1E1E22,
107 0x15878792, 0xC9E9E920, 0x87CECE49, 0xAA5555FF, 0x50282878, 0xA5DFDF7A,
108 0x038C8C8F, 0x59A1A1F8, 0x09898980, 0x1A0D0D17, 0x65BFBFDA, 0xD7E6E631,
109 0x844242C6, 0xD06868B8, 0x824141C3, 0x299999B0, 0x5A2D2D77, 0x1E0F0F11,
110 0x7BB0B0CB, 0xA85454FC, 0x6DBBBBD6, 0x2C16163A, 0xA5C66363, 0x84F87C7C,
111 0x99EE7777, 0x8DF67B7B, 0x0DFFF2F2, 0xBDD66B6B, 0xB1DE6F6F, 0x5491C5C5,
112 0x50603030, 0x03020101, 0xA9CE6767, 0x7D562B2B, 0x19E7FEFE, 0x62B5D7D7,
113 0xE64DABAB, 0x9AEC7676, 0x458FCACA, 0x9D1F8282, 0x4089C9C9, 0x87FA7D7D,
114 0x15EFFAFA, 0xEBB25959, 0xC98E4747, 0x0BFBF0F0, 0xEC41ADAD, 0x67B3D4D4,
115 0xFD5FA2A2, 0xEA45AFAF, 0xBF239C9C, 0xF753A4A4, 0x96E47272, 0x5B9BC0C0,
116 0xC275B7B7, 0x1CE1FDFD, 0xAE3D9393, 0x6A4C2626, 0x5A6C3636, 0x417E3F3F,
117 0x02F5F7F7, 0x4F83CCCC, 0x5C683434, 0xF451A5A5, 0x34D1E5E5, 0x08F9F1F1,
118 0x93E27171, 0x73ABD8D8, 0x53623131, 0x3F2A1515, 0x0C080404, 0x5295C7C7,
119 0x65462323, 0x5E9DC3C3, 0x28301818, 0xA1379696, 0x0F0A0505, 0xB52F9A9A,
120 0x090E0707, 0x36241212, 0x9B1B8080, 0x3DDFE2E2, 0x26CDEBEB, 0x694E2727,
121 0xCD7FB2B2, 0x9FEA7575, 0x1B120909, 0x9E1D8383, 0x74582C2C, 0x2E341A1A,
122 0x2D361B1B, 0xB2DC6E6E, 0xEEB45A5A, 0xFB5BA0A0, 0xF6A45252, 0x4D763B3B,
123 0x61B7D6D6, 0xCE7DB3B3, 0x7B522929, 0x3EDDE3E3, 0x715E2F2F, 0x97138484,
124 0xF5A65353, 0x68B9D1D1, 0x00000000, 0x2CC1EDED, 0x60402020, 0x1FE3FCFC,
125 0xC879B1B1, 0xEDB65B5B, 0xBED46A6A, 0x468DCBCB, 0xD967BEBE, 0x4B723939,
126 0xDE944A4A, 0xD4984C4C, 0xE8B05858, 0x4A85CFCF, 0x6BBBD0D0, 0x2AC5EFEF,
127 0xE54FAAAA, 0x16EDFBFB, 0xC5864343, 0xD79A4D4D, 0x55663333, 0x94118585,
128 0xCF8A4545, 0x10E9F9F9, 0x06040202, 0x81FE7F7F, 0xF0A05050, 0x44783C3C,
129 0xBA259F9F, 0xE34BA8A8, 0xF3A25151, 0xFE5DA3A3, 0xC0804040, 0x8A058F8F,
130 0xAD3F9292, 0xBC219D9D, 0x48703838, 0x04F1F5F5, 0xDF63BCBC, 0xC177B6B6,
131 0x75AFDADA, 0x63422121, 0x30201010, 0x1AE5FFFF, 0x0EFDF3F3, 0x6DBFD2D2,
132 0x4C81CDCD, 0x14180C0C, 0x35261313, 0x2FC3ECEC, 0xE1BE5F5F, 0xA2359797,
133 0xCC884444, 0x392E1717, 0x5793C4C4, 0xF255A7A7, 0x82FC7E7E, 0x477A3D3D,
134 0xACC86464, 0xE7BA5D5D, 0x2B321919, 0x95E67373, 0xA0C06060, 0x98198181,
135 0xD19E4F4F, 0x7FA3DCDC, 0x66442222, 0x7E542A2A, 0xAB3B9090, 0x830B8888,
136 0xCA8C4646, 0x29C7EEEE, 0xD36BB8B8, 0x3C281414, 0x79A7DEDE, 0xE2BC5E5E,
137 0x1D160B0B, 0x76ADDBDB, 0x3BDBE0E0, 0x56643232, 0x4E743A3A, 0x1E140A0A,
138 0xDB924949, 0x0A0C0606, 0x6C482424, 0xE4B85C5C, 0x5D9FC2C2, 0x6EBDD3D3,
139 0xEF43ACAC, 0xA6C46262, 0xA8399191, 0xA4319595, 0x37D3E4E4, 0x8BF27979,
140 0x32D5E7E7, 0x438BC8C8, 0x596E3737, 0xB7DA6D6D, 0x8C018D8D, 0x64B1D5D5,
141 0xD29C4E4E, 0xE049A9A9, 0xB4D86C6C, 0xFAAC5656, 0x07F3F4F4, 0x25CFEAEA,
142 0xAFCA6565, 0x8EF47A7A, 0xE947AEAE, 0x18100808, 0xD56FBABA, 0x88F07878,
143 0x6F4A2525, 0x725C2E2E, 0x24381C1C, 0xF157A6A6, 0xC773B4B4, 0x5197C6C6,
144 0x23CBE8E8, 0x7CA1DDDD, 0x9CE87474, 0x213E1F1F, 0xDD964B4B, 0xDC61BDBD,
145 0x860D8B8B, 0x850F8A8A, 0x90E07070, 0x427C3E3E, 0xC471B5B5, 0xAACC6666,
146 0xD8904848, 0x05060303, 0x01F7F6F6, 0x121C0E0E, 0xA3C26161, 0x5F6A3535,
147 0xF9AE5757, 0xD069B9B9, 0x91178686, 0x5899C1C1, 0x273A1D1D, 0xB9279E9E,
148 0x38D9E1E1, 0x13EBF8F8, 0xB32B9898, 0x33221111, 0xBBD26969, 0x70A9D9D9,
149 0x89078E8E, 0xA7339494, 0xB62D9B9B, 0x223C1E1E, 0x92158787, 0x20C9E9E9,
150 0x4987CECE, 0xFFAA5555, 0x78502828, 0x7AA5DFDF, 0x8F038C8C, 0xF859A1A1,
151 0x80098989, 0x171A0D0D, 0xDA65BFBF, 0x31D7E6E6, 0xC6844242, 0xB8D06868,
152 0xC3824141, 0xB0299999, 0x775A2D2D, 0x111E0F0F, 0xCB7BB0B0, 0xFCA85454,
153 0xD66DBBBB, 0x3A2C1616, 0x63A5C663, 0x7C84F87C, 0x7799EE77, 0x7B8DF67B,
154 0xF20DFFF2, 0x6BBDD66B, 0x6FB1DE6F, 0xC55491C5, 0x30506030, 0x01030201,
155 0x67A9CE67, 0x2B7D562B, 0xFE19E7FE, 0xD762B5D7, 0xABE64DAB, 0x769AEC76,
156 0xCA458FCA, 0x829D1F82, 0xC94089C9, 0x7D87FA7D, 0xFA15EFFA, 0x59EBB259,
157 0x47C98E47, 0xF00BFBF0, 0xADEC41AD, 0xD467B3D4, 0xA2FD5FA2, 0xAFEA45AF,
158 0x9CBF239C, 0xA4F753A4, 0x7296E472, 0xC05B9BC0, 0xB7C275B7, 0xFD1CE1FD,
159 0x93AE3D93, 0x266A4C26, 0x365A6C36, 0x3F417E3F, 0xF702F5F7, 0xCC4F83CC,
160 0x345C6834, 0xA5F451A5, 0xE534D1E5, 0xF108F9F1, 0x7193E271, 0xD873ABD8,
161 0x31536231, 0x153F2A15, 0x040C0804, 0xC75295C7, 0x23654623, 0xC35E9DC3,
162 0x18283018, 0x96A13796, 0x050F0A05, 0x9AB52F9A, 0x07090E07, 0x12362412,
163 0x809B1B80, 0xE23DDFE2, 0xEB26CDEB, 0x27694E27, 0xB2CD7FB2, 0x759FEA75,
164 0x091B1209, 0x839E1D83, 0x2C74582C, 0x1A2E341A, 0x1B2D361B, 0x6EB2DC6E,
165 0x5AEEB45A, 0xA0FB5BA0, 0x52F6A452, 0x3B4D763B, 0xD661B7D6, 0xB3CE7DB3,
166 0x297B5229, 0xE33EDDE3, 0x2F715E2F, 0x84971384, 0x53F5A653, 0xD168B9D1,
167 0x00000000, 0xED2CC1ED, 0x20604020, 0xFC1FE3FC, 0xB1C879B1, 0x5BEDB65B,
168 0x6ABED46A, 0xCB468DCB, 0xBED967BE, 0x394B7239, 0x4ADE944A, 0x4CD4984C,
169 0x58E8B058, 0xCF4A85CF, 0xD06BBBD0, 0xEF2AC5EF, 0xAAE54FAA, 0xFB16EDFB,
170 0x43C58643, 0x4DD79A4D, 0x33556633, 0x85941185, 0x45CF8A45, 0xF910E9F9,
171 0x02060402, 0x7F81FE7F, 0x50F0A050, 0x3C44783C, 0x9FBA259F, 0xA8E34BA8,
172 0x51F3A251, 0xA3FE5DA3, 0x40C08040, 0x8F8A058F, 0x92AD3F92, 0x9DBC219D,
173 0x38487038, 0xF504F1F5, 0xBCDF63BC, 0xB6C177B6, 0xDA75AFDA, 0x21634221,
174 0x10302010, 0xFF1AE5FF, 0xF30EFDF3, 0xD26DBFD2, 0xCD4C81CD, 0x0C14180C,
175 0x13352613, 0xEC2FC3EC, 0x5FE1BE5F, 0x97A23597, 0x44CC8844, 0x17392E17,
176 0xC45793C4, 0xA7F255A7, 0x7E82FC7E, 0x3D477A3D, 0x64ACC864, 0x5DE7BA5D,
177 0x192B3219, 0x7395E673, 0x60A0C060, 0x81981981, 0x4FD19E4F, 0xDC7FA3DC,
178 0x22664422, 0x2A7E542A, 0x90AB3B90, 0x88830B88, 0x46CA8C46, 0xEE29C7EE,
179 0xB8D36BB8, 0x143C2814, 0xDE79A7DE, 0x5EE2BC5E, 0x0B1D160B, 0xDB76ADDB,
180 0xE03BDBE0, 0x32566432, 0x3A4E743A, 0x0A1E140A, 0x49DB9249, 0x060A0C06,
181 0x246C4824, 0x5CE4B85C, 0xC25D9FC2, 0xD36EBDD3, 0xACEF43AC, 0x62A6C462,
182 0x91A83991, 0x95A43195, 0xE437D3E4, 0x798BF279, 0xE732D5E7, 0xC8438BC8,
183 0x37596E37, 0x6DB7DA6D, 0x8D8C018D, 0xD564B1D5, 0x4ED29C4E, 0xA9E049A9,
184 0x6CB4D86C, 0x56FAAC56, 0xF407F3F4, 0xEA25CFEA, 0x65AFCA65, 0x7A8EF47A,
185 0xAEE947AE, 0x08181008, 0xBAD56FBA, 0x7888F078, 0x256F4A25, 0x2E725C2E,
186 0x1C24381C, 0xA6F157A6, 0xB4C773B4, 0xC65197C6, 0xE823CBE8, 0xDD7CA1DD,
187 0x749CE874, 0x1F213E1F, 0x4BDD964B, 0xBDDC61BD, 0x8B860D8B, 0x8A850F8A,
188 0x7090E070, 0x3E427C3E, 0xB5C471B5, 0x66AACC66, 0x48D89048, 0x03050603,
189 0xF601F7F6, 0x0E121C0E, 0x61A3C261, 0x355F6A35, 0x57F9AE57, 0xB9D069B9,
190 0x86911786, 0xC15899C1, 0x1D273A1D, 0x9EB9279E, 0xE138D9E1, 0xF813EBF8,
191 0x98B32B98, 0x11332211, 0x69BBD269, 0xD970A9D9, 0x8E89078E, 0x94A73394,
192 0x9BB62D9B, 0x1E223C1E, 0x87921587, 0xE920C9E9, 0xCE4987CE, 0x55FFAA55,
193 0x28785028, 0xDF7AA5DF, 0x8C8F038C, 0xA1F859A1, 0x89800989, 0x0D171A0D,
194 0xBFDA65BF, 0xE631D7E6, 0x42C68442, 0x68B8D068, 0x41C38241, 0x99B02999,
195 0x2D775A2D, 0x0F111E0F, 0xB0CB7BB0, 0x54FCA854, 0xBBD66DBB, 0x163A2C16,
196 0x6363A5C6, 0x7C7C84F8, 0x777799EE, 0x7B7B8DF6, 0xF2F20DFF, 0x6B6BBDD6,
197 0x6F6FB1DE, 0xC5C55491, 0x30305060, 0x01010302, 0x6767A9CE, 0x2B2B7D56,
198 0xFEFE19E7, 0xD7D762B5, 0xABABE64D, 0x76769AEC, 0xCACA458F, 0x82829D1F,
199 0xC9C94089, 0x7D7D87FA, 0xFAFA15EF, 0x5959EBB2, 0x4747C98E, 0xF0F00BFB,
200 0xADADEC41, 0xD4D467B3, 0xA2A2FD5F, 0xAFAFEA45, 0x9C9CBF23, 0xA4A4F753,
201 0x727296E4, 0xC0C05B9B, 0xB7B7C275, 0xFDFD1CE1, 0x9393AE3D, 0x26266A4C,
202 0x36365A6C, 0x3F3F417E, 0xF7F702F5, 0xCCCC4F83, 0x34345C68, 0xA5A5F451,
203 0xE5E534D1, 0xF1F108F9, 0x717193E2, 0xD8D873AB, 0x31315362, 0x15153F2A,
204 0x04040C08, 0xC7C75295, 0x23236546, 0xC3C35E9D, 0x18182830, 0x9696A137,
205 0x05050F0A, 0x9A9AB52F, 0x0707090E, 0x12123624, 0x80809B1B, 0xE2E23DDF,
206 0xEBEB26CD, 0x2727694E, 0xB2B2CD7F, 0x75759FEA, 0x09091B12, 0x83839E1D,
207 0x2C2C7458, 0x1A1A2E34, 0x1B1B2D36, 0x6E6EB2DC, 0x5A5AEEB4, 0xA0A0FB5B,
208 0x5252F6A4, 0x3B3B4D76, 0xD6D661B7, 0xB3B3CE7D, 0x29297B52, 0xE3E33EDD,
209 0x2F2F715E, 0x84849713, 0x5353F5A6, 0xD1D168B9, 0x00000000, 0xEDED2CC1,
210 0x20206040, 0xFCFC1FE3, 0xB1B1C879, 0x5B5BEDB6, 0x6A6ABED4, 0xCBCB468D,
211 0xBEBED967, 0x39394B72, 0x4A4ADE94, 0x4C4CD498, 0x5858E8B0, 0xCFCF4A85,
212 0xD0D06BBB, 0xEFEF2AC5, 0xAAAAE54F, 0xFBFB16ED, 0x4343C586, 0x4D4DD79A,
213 0x33335566, 0x85859411, 0x4545CF8A, 0xF9F910E9, 0x02020604, 0x7F7F81FE,
214 0x5050F0A0, 0x3C3C4478, 0x9F9FBA25, 0xA8A8E34B, 0x5151F3A2, 0xA3A3FE5D,
215 0x4040C080, 0x8F8F8A05, 0x9292AD3F, 0x9D9DBC21, 0x38384870, 0xF5F504F1,
216 0xBCBCDF63, 0xB6B6C177, 0xDADA75AF, 0x21216342, 0x10103020, 0xFFFF1AE5,
217 0xF3F30EFD, 0xD2D26DBF, 0xCDCD4C81, 0x0C0C1418, 0x13133526, 0xECEC2FC3,
218 0x5F5FE1BE, 0x9797A235, 0x4444CC88, 0x1717392E, 0xC4C45793, 0xA7A7F255,
219 0x7E7E82FC, 0x3D3D477A, 0x6464ACC8, 0x5D5DE7BA, 0x19192B32, 0x737395E6,
220 0x6060A0C0, 0x81819819, 0x4F4FD19E, 0xDCDC7FA3, 0x22226644, 0x2A2A7E54,
221 0x9090AB3B, 0x8888830B, 0x4646CA8C, 0xEEEE29C7, 0xB8B8D36B, 0x14143C28,
222 0xDEDE79A7, 0x5E5EE2BC, 0x0B0B1D16, 0xDBDB76AD, 0xE0E03BDB, 0x32325664,
223 0x3A3A4E74, 0x0A0A1E14, 0x4949DB92, 0x06060A0C, 0x24246C48, 0x5C5CE4B8,
224 0xC2C25D9F, 0xD3D36EBD, 0xACACEF43, 0x6262A6C4, 0x9191A839, 0x9595A431,
225 0xE4E437D3, 0x79798BF2, 0xE7E732D5, 0xC8C8438B, 0x3737596E, 0x6D6DB7DA,
226 0x8D8D8C01, 0xD5D564B1, 0x4E4ED29C, 0xA9A9E049, 0x6C6CB4D8, 0x5656FAAC,
227 0xF4F407F3, 0xEAEA25CF, 0x6565AFCA, 0x7A7A8EF4, 0xAEAEE947, 0x08081810,
228 0xBABAD56F, 0x787888F0, 0x25256F4A, 0x2E2E725C, 0x1C1C2438, 0xA6A6F157,
229 0xB4B4C773, 0xC6C65197, 0xE8E823CB, 0xDDDD7CA1, 0x74749CE8, 0x1F1F213E,
230 0x4B4BDD96, 0xBDBDDC61, 0x8B8B860D, 0x8A8A850F, 0x707090E0, 0x3E3E427C,
231 0xB5B5C471, 0x6666AACC, 0x4848D890, 0x03030506, 0xF6F601F7, 0x0E0E121C,
232 0x6161A3C2, 0x35355F6A, 0x5757F9AE, 0xB9B9D069, 0x86869117, 0xC1C15899,
233 0x1D1D273A, 0x9E9EB927, 0xE1E138D9, 0xF8F813EB, 0x9898B32B, 0x11113322,
234 0x6969BBD2, 0xD9D970A9, 0x8E8E8907, 0x9494A733, 0x9B9BB62D, 0x1E1E223C,
235 0x87879215, 0xE9E920C9, 0xCECE4987, 0x5555FFAA, 0x28287850, 0xDFDF7AA5,
236 0x8C8C8F03, 0xA1A1F859, 0x89898009, 0x0D0D171A, 0xBFBFDA65, 0xE6E631D7,
237 0x4242C684, 0x6868B8D0, 0x4141C382, 0x9999B029, 0x2D2D775A, 0x0F0F111E,
238 0xB0B0CB7B, 0x5454FCA8, 0xBBBBD66D, 0x16163A2C };
239
240const u32bit TD[1024] = {
241 0x51F4A750, 0x7E416553, 0x1A17A4C3, 0x3A275E96, 0x3BAB6BCB, 0x1F9D45F1,
242 0xACFA58AB, 0x4BE30393, 0x2030FA55, 0xAD766DF6, 0x88CC7691, 0xF5024C25,
243 0x4FE5D7FC, 0xC52ACBD7, 0x26354480, 0xB562A38F, 0xDEB15A49, 0x25BA1B67,
244 0x45EA0E98, 0x5DFEC0E1, 0xC32F7502, 0x814CF012, 0x8D4697A3, 0x6BD3F9C6,
245 0x038F5FE7, 0x15929C95, 0xBF6D7AEB, 0x955259DA, 0xD4BE832D, 0x587421D3,
246 0x49E06929, 0x8EC9C844, 0x75C2896A, 0xF48E7978, 0x99583E6B, 0x27B971DD,
247 0xBEE14FB6, 0xF088AD17, 0xC920AC66, 0x7DCE3AB4, 0x63DF4A18, 0xE51A3182,
248 0x97513360, 0x62537F45, 0xB16477E0, 0xBB6BAE84, 0xFE81A01C, 0xF9082B94,
249 0x70486858, 0x8F45FD19, 0x94DE6C87, 0x527BF8B7, 0xAB73D323, 0x724B02E2,
250 0xE31F8F57, 0x6655AB2A, 0xB2EB2807, 0x2FB5C203, 0x86C57B9A, 0xD33708A5,
251 0x302887F2, 0x23BFA5B2, 0x02036ABA, 0xED16825C, 0x8ACF1C2B, 0xA779B492,
252 0xF307F2F0, 0x4E69E2A1, 0x65DAF4CD, 0x0605BED5, 0xD134621F, 0xC4A6FE8A,
253 0x342E539D, 0xA2F355A0, 0x058AE132, 0xA4F6EB75, 0x0B83EC39, 0x4060EFAA,
254 0x5E719F06, 0xBD6E1051, 0x3E218AF9, 0x96DD063D, 0xDD3E05AE, 0x4DE6BD46,
255 0x91548DB5, 0x71C45D05, 0x0406D46F, 0x605015FF, 0x1998FB24, 0xD6BDE997,
256 0x894043CC, 0x67D99E77, 0xB0E842BD, 0x07898B88, 0xE7195B38, 0x79C8EEDB,
257 0xA17C0A47, 0x7C420FE9, 0xF8841EC9, 0x00000000, 0x09808683, 0x322BED48,
258 0x1E1170AC, 0x6C5A724E, 0xFD0EFFFB, 0x0F853856, 0x3DAED51E, 0x362D3927,
259 0x0A0FD964, 0x685CA621, 0x9B5B54D1, 0x24362E3A, 0x0C0A67B1, 0x9357E70F,
260 0xB4EE96D2, 0x1B9B919E, 0x80C0C54F, 0x61DC20A2, 0x5A774B69, 0x1C121A16,
261 0xE293BA0A, 0xC0A02AE5, 0x3C22E043, 0x121B171D, 0x0E090D0B, 0xF28BC7AD,
262 0x2DB6A8B9, 0x141EA9C8, 0x57F11985, 0xAF75074C, 0xEE99DDBB, 0xA37F60FD,
263 0xF701269F, 0x5C72F5BC, 0x44663BC5, 0x5BFB7E34, 0x8B432976, 0xCB23C6DC,
264 0xB6EDFC68, 0xB8E4F163, 0xD731DCCA, 0x42638510, 0x13972240, 0x84C61120,
265 0x854A247D, 0xD2BB3DF8, 0xAEF93211, 0xC729A16D, 0x1D9E2F4B, 0xDCB230F3,
266 0x0D8652EC, 0x77C1E3D0, 0x2BB3166C, 0xA970B999, 0x119448FA, 0x47E96422,
267 0xA8FC8CC4, 0xA0F03F1A, 0x567D2CD8, 0x223390EF, 0x87494EC7, 0xD938D1C1,
268 0x8CCAA2FE, 0x98D40B36, 0xA6F581CF, 0xA57ADE28, 0xDAB78E26, 0x3FADBFA4,
269 0x2C3A9DE4, 0x5078920D, 0x6A5FCC9B, 0x547E4662, 0xF68D13C2, 0x90D8B8E8,
270 0x2E39F75E, 0x82C3AFF5, 0x9F5D80BE, 0x69D0937C, 0x6FD52DA9, 0xCF2512B3,
271 0xC8AC993B, 0x10187DA7, 0xE89C636E, 0xDB3BBB7B, 0xCD267809, 0x6E5918F4,
272 0xEC9AB701, 0x834F9AA8, 0xE6956E65, 0xAAFFE67E, 0x21BCCF08, 0xEF15E8E6,
273 0xBAE79BD9, 0x4A6F36CE, 0xEA9F09D4, 0x29B07CD6, 0x31A4B2AF, 0x2A3F2331,
274 0xC6A59430, 0x35A266C0, 0x744EBC37, 0xFC82CAA6, 0xE090D0B0, 0x33A7D815,
275 0xF104984A, 0x41ECDAF7, 0x7FCD500E, 0x1791F62F, 0x764DD68D, 0x43EFB04D,
276 0xCCAA4D54, 0xE49604DF, 0x9ED1B5E3, 0x4C6A881B, 0xC12C1FB8, 0x4665517F,
277 0x9D5EEA04, 0x018C355D, 0xFA877473, 0xFB0B412E, 0xB3671D5A, 0x92DBD252,
278 0xE9105633, 0x6DD64713, 0x9AD7618C, 0x37A10C7A, 0x59F8148E, 0xEB133C89,
279 0xCEA927EE, 0xB761C935, 0xE11CE5ED, 0x7A47B13C, 0x9CD2DF59, 0x55F2733F,
280 0x1814CE79, 0x73C737BF, 0x53F7CDEA, 0x5FFDAA5B, 0xDF3D6F14, 0x7844DB86,
281 0xCAAFF381, 0xB968C43E, 0x3824342C, 0xC2A3405F, 0x161DC372, 0xBCE2250C,
282 0x283C498B, 0xFF0D9541, 0x39A80171, 0x080CB3DE, 0xD8B4E49C, 0x6456C190,
283 0x7BCB8461, 0xD532B670, 0x486C5C74, 0xD0B85742, 0x5051F4A7, 0x537E4165,
284 0xC31A17A4, 0x963A275E, 0xCB3BAB6B, 0xF11F9D45, 0xABACFA58, 0x934BE303,
285 0x552030FA, 0xF6AD766D, 0x9188CC76, 0x25F5024C, 0xFC4FE5D7, 0xD7C52ACB,
286 0x80263544, 0x8FB562A3, 0x49DEB15A, 0x6725BA1B, 0x9845EA0E, 0xE15DFEC0,
287 0x02C32F75, 0x12814CF0, 0xA38D4697, 0xC66BD3F9, 0xE7038F5F, 0x9515929C,
288 0xEBBF6D7A, 0xDA955259, 0x2DD4BE83, 0xD3587421, 0x2949E069, 0x448EC9C8,
289 0x6A75C289, 0x78F48E79, 0x6B99583E, 0xDD27B971, 0xB6BEE14F, 0x17F088AD,
290 0x66C920AC, 0xB47DCE3A, 0x1863DF4A, 0x82E51A31, 0x60975133, 0x4562537F,
291 0xE0B16477, 0x84BB6BAE, 0x1CFE81A0, 0x94F9082B, 0x58704868, 0x198F45FD,
292 0x8794DE6C, 0xB7527BF8, 0x23AB73D3, 0xE2724B02, 0x57E31F8F, 0x2A6655AB,
293 0x07B2EB28, 0x032FB5C2, 0x9A86C57B, 0xA5D33708, 0xF2302887, 0xB223BFA5,
294 0xBA02036A, 0x5CED1682, 0x2B8ACF1C, 0x92A779B4, 0xF0F307F2, 0xA14E69E2,
295 0xCD65DAF4, 0xD50605BE, 0x1FD13462, 0x8AC4A6FE, 0x9D342E53, 0xA0A2F355,
296 0x32058AE1, 0x75A4F6EB, 0x390B83EC, 0xAA4060EF, 0x065E719F, 0x51BD6E10,
297 0xF93E218A, 0x3D96DD06, 0xAEDD3E05, 0x464DE6BD, 0xB591548D, 0x0571C45D,
298 0x6F0406D4, 0xFF605015, 0x241998FB, 0x97D6BDE9, 0xCC894043, 0x7767D99E,
299 0xBDB0E842, 0x8807898B, 0x38E7195B, 0xDB79C8EE, 0x47A17C0A, 0xE97C420F,
300 0xC9F8841E, 0x00000000, 0x83098086, 0x48322BED, 0xAC1E1170, 0x4E6C5A72,
301 0xFBFD0EFF, 0x560F8538, 0x1E3DAED5, 0x27362D39, 0x640A0FD9, 0x21685CA6,
302 0xD19B5B54, 0x3A24362E, 0xB10C0A67, 0x0F9357E7, 0xD2B4EE96, 0x9E1B9B91,
303 0x4F80C0C5, 0xA261DC20, 0x695A774B, 0x161C121A, 0x0AE293BA, 0xE5C0A02A,
304 0x433C22E0, 0x1D121B17, 0x0B0E090D, 0xADF28BC7, 0xB92DB6A8, 0xC8141EA9,
305 0x8557F119, 0x4CAF7507, 0xBBEE99DD, 0xFDA37F60, 0x9FF70126, 0xBC5C72F5,
306 0xC544663B, 0x345BFB7E, 0x768B4329, 0xDCCB23C6, 0x68B6EDFC, 0x63B8E4F1,
307 0xCAD731DC, 0x10426385, 0x40139722, 0x2084C611, 0x7D854A24, 0xF8D2BB3D,
308 0x11AEF932, 0x6DC729A1, 0x4B1D9E2F, 0xF3DCB230, 0xEC0D8652, 0xD077C1E3,
309 0x6C2BB316, 0x99A970B9, 0xFA119448, 0x2247E964, 0xC4A8FC8C, 0x1AA0F03F,
310 0xD8567D2C, 0xEF223390, 0xC787494E, 0xC1D938D1, 0xFE8CCAA2, 0x3698D40B,
311 0xCFA6F581, 0x28A57ADE, 0x26DAB78E, 0xA43FADBF, 0xE42C3A9D, 0x0D507892,
312 0x9B6A5FCC, 0x62547E46, 0xC2F68D13, 0xE890D8B8, 0x5E2E39F7, 0xF582C3AF,
313 0xBE9F5D80, 0x7C69D093, 0xA96FD52D, 0xB3CF2512, 0x3BC8AC99, 0xA710187D,
314 0x6EE89C63, 0x7BDB3BBB, 0x09CD2678, 0xF46E5918, 0x01EC9AB7, 0xA8834F9A,
315 0x65E6956E, 0x7EAAFFE6, 0x0821BCCF, 0xE6EF15E8, 0xD9BAE79B, 0xCE4A6F36,
316 0xD4EA9F09, 0xD629B07C, 0xAF31A4B2, 0x312A3F23, 0x30C6A594, 0xC035A266,
317 0x37744EBC, 0xA6FC82CA, 0xB0E090D0, 0x1533A7D8, 0x4AF10498, 0xF741ECDA,
318 0x0E7FCD50, 0x2F1791F6, 0x8D764DD6, 0x4D43EFB0, 0x54CCAA4D, 0xDFE49604,
319 0xE39ED1B5, 0x1B4C6A88, 0xB8C12C1F, 0x7F466551, 0x049D5EEA, 0x5D018C35,
320 0x73FA8774, 0x2EFB0B41, 0x5AB3671D, 0x5292DBD2, 0x33E91056, 0x136DD647,
321 0x8C9AD761, 0x7A37A10C, 0x8E59F814, 0x89EB133C, 0xEECEA927, 0x35B761C9,
322 0xEDE11CE5, 0x3C7A47B1, 0x599CD2DF, 0x3F55F273, 0x791814CE, 0xBF73C737,
323 0xEA53F7CD, 0x5B5FFDAA, 0x14DF3D6F, 0x867844DB, 0x81CAAFF3, 0x3EB968C4,
324 0x2C382434, 0x5FC2A340, 0x72161DC3, 0x0CBCE225, 0x8B283C49, 0x41FF0D95,
325 0x7139A801, 0xDE080CB3, 0x9CD8B4E4, 0x906456C1, 0x617BCB84, 0x70D532B6,
326 0x74486C5C, 0x42D0B857, 0xA75051F4, 0x65537E41, 0xA4C31A17, 0x5E963A27,
327 0x6BCB3BAB, 0x45F11F9D, 0x58ABACFA, 0x03934BE3, 0xFA552030, 0x6DF6AD76,
328 0x769188CC, 0x4C25F502, 0xD7FC4FE5, 0xCBD7C52A, 0x44802635, 0xA38FB562,
329 0x5A49DEB1, 0x1B6725BA, 0x0E9845EA, 0xC0E15DFE, 0x7502C32F, 0xF012814C,
330 0x97A38D46, 0xF9C66BD3, 0x5FE7038F, 0x9C951592, 0x7AEBBF6D, 0x59DA9552,
331 0x832DD4BE, 0x21D35874, 0x692949E0, 0xC8448EC9, 0x896A75C2, 0x7978F48E,
332 0x3E6B9958, 0x71DD27B9, 0x4FB6BEE1, 0xAD17F088, 0xAC66C920, 0x3AB47DCE,
333 0x4A1863DF, 0x3182E51A, 0x33609751, 0x7F456253, 0x77E0B164, 0xAE84BB6B,
334 0xA01CFE81, 0x2B94F908, 0x68587048, 0xFD198F45, 0x6C8794DE, 0xF8B7527B,
335 0xD323AB73, 0x02E2724B, 0x8F57E31F, 0xAB2A6655, 0x2807B2EB, 0xC2032FB5,
336 0x7B9A86C5, 0x08A5D337, 0x87F23028, 0xA5B223BF, 0x6ABA0203, 0x825CED16,
337 0x1C2B8ACF, 0xB492A779, 0xF2F0F307, 0xE2A14E69, 0xF4CD65DA, 0xBED50605,
338 0x621FD134, 0xFE8AC4A6, 0x539D342E, 0x55A0A2F3, 0xE132058A, 0xEB75A4F6,
339 0xEC390B83, 0xEFAA4060, 0x9F065E71, 0x1051BD6E, 0x8AF93E21, 0x063D96DD,
340 0x05AEDD3E, 0xBD464DE6, 0x8DB59154, 0x5D0571C4, 0xD46F0406, 0x15FF6050,
341 0xFB241998, 0xE997D6BD, 0x43CC8940, 0x9E7767D9, 0x42BDB0E8, 0x8B880789,
342 0x5B38E719, 0xEEDB79C8, 0x0A47A17C, 0x0FE97C42, 0x1EC9F884, 0x00000000,
343 0x86830980, 0xED48322B, 0x70AC1E11, 0x724E6C5A, 0xFFFBFD0E, 0x38560F85,
344 0xD51E3DAE, 0x3927362D, 0xD9640A0F, 0xA621685C, 0x54D19B5B, 0x2E3A2436,
345 0x67B10C0A, 0xE70F9357, 0x96D2B4EE, 0x919E1B9B, 0xC54F80C0, 0x20A261DC,
346 0x4B695A77, 0x1A161C12, 0xBA0AE293, 0x2AE5C0A0, 0xE0433C22, 0x171D121B,
347 0x0D0B0E09, 0xC7ADF28B, 0xA8B92DB6, 0xA9C8141E, 0x198557F1, 0x074CAF75,
348 0xDDBBEE99, 0x60FDA37F, 0x269FF701, 0xF5BC5C72, 0x3BC54466, 0x7E345BFB,
349 0x29768B43, 0xC6DCCB23, 0xFC68B6ED, 0xF163B8E4, 0xDCCAD731, 0x85104263,
350 0x22401397, 0x112084C6, 0x247D854A, 0x3DF8D2BB, 0x3211AEF9, 0xA16DC729,
351 0x2F4B1D9E, 0x30F3DCB2, 0x52EC0D86, 0xE3D077C1, 0x166C2BB3, 0xB999A970,
352 0x48FA1194, 0x642247E9, 0x8CC4A8FC, 0x3F1AA0F0, 0x2CD8567D, 0x90EF2233,
353 0x4EC78749, 0xD1C1D938, 0xA2FE8CCA, 0x0B3698D4, 0x81CFA6F5, 0xDE28A57A,
354 0x8E26DAB7, 0xBFA43FAD, 0x9DE42C3A, 0x920D5078, 0xCC9B6A5F, 0x4662547E,
355 0x13C2F68D, 0xB8E890D8, 0xF75E2E39, 0xAFF582C3, 0x80BE9F5D, 0x937C69D0,
356 0x2DA96FD5, 0x12B3CF25, 0x993BC8AC, 0x7DA71018, 0x636EE89C, 0xBB7BDB3B,
357 0x7809CD26, 0x18F46E59, 0xB701EC9A, 0x9AA8834F, 0x6E65E695, 0xE67EAAFF,
358 0xCF0821BC, 0xE8E6EF15, 0x9BD9BAE7, 0x36CE4A6F, 0x09D4EA9F, 0x7CD629B0,
359 0xB2AF31A4, 0x23312A3F, 0x9430C6A5, 0x66C035A2, 0xBC37744E, 0xCAA6FC82,
360 0xD0B0E090, 0xD81533A7, 0x984AF104, 0xDAF741EC, 0x500E7FCD, 0xF62F1791,
361 0xD68D764D, 0xB04D43EF, 0x4D54CCAA, 0x04DFE496, 0xB5E39ED1, 0x881B4C6A,
362 0x1FB8C12C, 0x517F4665, 0xEA049D5E, 0x355D018C, 0x7473FA87, 0x412EFB0B,
363 0x1D5AB367, 0xD25292DB, 0x5633E910, 0x47136DD6, 0x618C9AD7, 0x0C7A37A1,
364 0x148E59F8, 0x3C89EB13, 0x27EECEA9, 0xC935B761, 0xE5EDE11C, 0xB13C7A47,
365 0xDF599CD2, 0x733F55F2, 0xCE791814, 0x37BF73C7, 0xCDEA53F7, 0xAA5B5FFD,
366 0x6F14DF3D, 0xDB867844, 0xF381CAAF, 0xC43EB968, 0x342C3824, 0x405FC2A3,
367 0xC372161D, 0x250CBCE2, 0x498B283C, 0x9541FF0D, 0x017139A8, 0xB3DE080C,
368 0xE49CD8B4, 0xC1906456, 0x84617BCB, 0xB670D532, 0x5C74486C, 0x5742D0B8,
369 0xF4A75051, 0x4165537E, 0x17A4C31A, 0x275E963A, 0xAB6BCB3B, 0x9D45F11F,
370 0xFA58ABAC, 0xE303934B, 0x30FA5520, 0x766DF6AD, 0xCC769188, 0x024C25F5,
371 0xE5D7FC4F, 0x2ACBD7C5, 0x35448026, 0x62A38FB5, 0xB15A49DE, 0xBA1B6725,
372 0xEA0E9845, 0xFEC0E15D, 0x2F7502C3, 0x4CF01281, 0x4697A38D, 0xD3F9C66B,
373 0x8F5FE703, 0x929C9515, 0x6D7AEBBF, 0x5259DA95, 0xBE832DD4, 0x7421D358,
374 0xE0692949, 0xC9C8448E, 0xC2896A75, 0x8E7978F4, 0x583E6B99, 0xB971DD27,
375 0xE14FB6BE, 0x88AD17F0, 0x20AC66C9, 0xCE3AB47D, 0xDF4A1863, 0x1A3182E5,
376 0x51336097, 0x537F4562, 0x6477E0B1, 0x6BAE84BB, 0x81A01CFE, 0x082B94F9,
377 0x48685870, 0x45FD198F, 0xDE6C8794, 0x7BF8B752, 0x73D323AB, 0x4B02E272,
378 0x1F8F57E3, 0x55AB2A66, 0xEB2807B2, 0xB5C2032F, 0xC57B9A86, 0x3708A5D3,
379 0x2887F230, 0xBFA5B223, 0x036ABA02, 0x16825CED, 0xCF1C2B8A, 0x79B492A7,
380 0x07F2F0F3, 0x69E2A14E, 0xDAF4CD65, 0x05BED506, 0x34621FD1, 0xA6FE8AC4,
381 0x2E539D34, 0xF355A0A2, 0x8AE13205, 0xF6EB75A4, 0x83EC390B, 0x60EFAA40,
382 0x719F065E, 0x6E1051BD, 0x218AF93E, 0xDD063D96, 0x3E05AEDD, 0xE6BD464D,
383 0x548DB591, 0xC45D0571, 0x06D46F04, 0x5015FF60, 0x98FB2419, 0xBDE997D6,
384 0x4043CC89, 0xD99E7767, 0xE842BDB0, 0x898B8807, 0x195B38E7, 0xC8EEDB79,
385 0x7C0A47A1, 0x420FE97C, 0x841EC9F8, 0x00000000, 0x80868309, 0x2BED4832,
386 0x1170AC1E, 0x5A724E6C, 0x0EFFFBFD, 0x8538560F, 0xAED51E3D, 0x2D392736,
387 0x0FD9640A, 0x5CA62168, 0x5B54D19B, 0x362E3A24, 0x0A67B10C, 0x57E70F93,
388 0xEE96D2B4, 0x9B919E1B, 0xC0C54F80, 0xDC20A261, 0x774B695A, 0x121A161C,
389 0x93BA0AE2, 0xA02AE5C0, 0x22E0433C, 0x1B171D12, 0x090D0B0E, 0x8BC7ADF2,
390 0xB6A8B92D, 0x1EA9C814, 0xF1198557, 0x75074CAF, 0x99DDBBEE, 0x7F60FDA3,
391 0x01269FF7, 0x72F5BC5C, 0x663BC544, 0xFB7E345B, 0x4329768B, 0x23C6DCCB,
392 0xEDFC68B6, 0xE4F163B8, 0x31DCCAD7, 0x63851042, 0x97224013, 0xC6112084,
393 0x4A247D85, 0xBB3DF8D2, 0xF93211AE, 0x29A16DC7, 0x9E2F4B1D, 0xB230F3DC,
394 0x8652EC0D, 0xC1E3D077, 0xB3166C2B, 0x70B999A9, 0x9448FA11, 0xE9642247,
395 0xFC8CC4A8, 0xF03F1AA0, 0x7D2CD856, 0x3390EF22, 0x494EC787, 0x38D1C1D9,
396 0xCAA2FE8C, 0xD40B3698, 0xF581CFA6, 0x7ADE28A5, 0xB78E26DA, 0xADBFA43F,
397 0x3A9DE42C, 0x78920D50, 0x5FCC9B6A, 0x7E466254, 0x8D13C2F6, 0xD8B8E890,
398 0x39F75E2E, 0xC3AFF582, 0x5D80BE9F, 0xD0937C69, 0xD52DA96F, 0x2512B3CF,
399 0xAC993BC8, 0x187DA710, 0x9C636EE8, 0x3BBB7BDB, 0x267809CD, 0x5918F46E,
400 0x9AB701EC, 0x4F9AA883, 0x956E65E6, 0xFFE67EAA, 0xBCCF0821, 0x15E8E6EF,
401 0xE79BD9BA, 0x6F36CE4A, 0x9F09D4EA, 0xB07CD629, 0xA4B2AF31, 0x3F23312A,
402 0xA59430C6, 0xA266C035, 0x4EBC3774, 0x82CAA6FC, 0x90D0B0E0, 0xA7D81533,
403 0x04984AF1, 0xECDAF741, 0xCD500E7F, 0x91F62F17, 0x4DD68D76, 0xEFB04D43,
404 0xAA4D54CC, 0x9604DFE4, 0xD1B5E39E, 0x6A881B4C, 0x2C1FB8C1, 0x65517F46,
405 0x5EEA049D, 0x8C355D01, 0x877473FA, 0x0B412EFB, 0x671D5AB3, 0xDBD25292,
406 0x105633E9, 0xD647136D, 0xD7618C9A, 0xA10C7A37, 0xF8148E59, 0x133C89EB,
407 0xA927EECE, 0x61C935B7, 0x1CE5EDE1, 0x47B13C7A, 0xD2DF599C, 0xF2733F55,
408 0x14CE7918, 0xC737BF73, 0xF7CDEA53, 0xFDAA5B5F, 0x3D6F14DF, 0x44DB8678,
409 0xAFF381CA, 0x68C43EB9, 0x24342C38, 0xA3405FC2, 0x1DC37216, 0xE2250CBC,
410 0x3C498B28, 0x0D9541FF, 0xA8017139, 0x0CB3DE08, 0xB4E49CD8, 0x56C19064,
411 0xCB84617B, 0x32B670D5, 0x6C5C7448, 0xB85742D0 };
412
413/*
414* AES Encryption
415*/
416void aes_encrypt_n(const byte in[], byte out[],
417 size_t blocks,
418 const MemoryRegion<u32bit>& EK,
419 const MemoryRegion<byte>& ME)
420 {
421 const size_t BLOCK_SIZE = 16;
422
423 const u32bit* TE0 = TE;
424 const u32bit* TE1 = TE + 256;
425 const u32bit* TE2 = TE + 512;
426 const u32bit* TE3 = TE + 768;
427
428 for(size_t i = 0; i != blocks; ++i)
429 {
430 u32bit T0 = load_be<u32bit>(in, 0) ^ EK[0];
431 u32bit T1 = load_be<u32bit>(in, 1) ^ EK[1];
432 u32bit T2 = load_be<u32bit>(in, 2) ^ EK[2];
433 u32bit T3 = load_be<u32bit>(in, 3) ^ EK[3];
434
435 /* Use only the first 256 entries of the TE table and do the
436 * rotations directly in the code. This reduces the number of
437 * cache lines potentially used in the first round from 64 to 16
438 * (assuming a typical 64 byte cache line), which makes timing
439 * attacks a little harder; the first round is particularly
440 * vulnerable.
441 */
442
443 u32bit B0 = TE[get_byte(0, T0)] ^
444 rotate_right(TE[get_byte(1, T1)], 8) ^
445 rotate_right(TE[get_byte(2, T2)], 16) ^
446 rotate_right(TE[get_byte(3, T3)], 24) ^ EK[4];
447
448 u32bit B1 = TE[get_byte(0, T1)] ^
449 rotate_right(TE[get_byte(1, T2)], 8) ^
450 rotate_right(TE[get_byte(2, T3)], 16) ^
451 rotate_right(TE[get_byte(3, T0)], 24) ^ EK[5];
452
453 u32bit B2 = TE[get_byte(0, T2)] ^
454 rotate_right(TE[get_byte(1, T3)], 8) ^
455 rotate_right(TE[get_byte(2, T0)], 16) ^
456 rotate_right(TE[get_byte(3, T1)], 24) ^ EK[6];
457
458 u32bit B3 = TE[get_byte(0, T3)] ^
459 rotate_right(TE[get_byte(1, T0)], 8) ^
460 rotate_right(TE[get_byte(2, T1)], 16) ^
461 rotate_right(TE[get_byte(3, T2)], 24) ^ EK[7];
462
463 for(size_t r = 2*4; r < EK.size(); r += 2*4)
464 {
465 T0 = TE0[get_byte(0, B0)] ^ TE1[get_byte(1, B1)] ^
466 TE2[get_byte(2, B2)] ^ TE3[get_byte(3, B3)] ^ EK[r];
467 T1 = TE0[get_byte(0, B1)] ^ TE1[get_byte(1, B2)] ^
468 TE2[get_byte(2, B3)] ^ TE3[get_byte(3, B0)] ^ EK[r+1];
469 T2 = TE0[get_byte(0, B2)] ^ TE1[get_byte(1, B3)] ^
470 TE2[get_byte(2, B0)] ^ TE3[get_byte(3, B1)] ^ EK[r+2];
471 T3 = TE0[get_byte(0, B3)] ^ TE1[get_byte(1, B0)] ^
472 TE2[get_byte(2, B1)] ^ TE3[get_byte(3, B2)] ^ EK[r+3];
473
474 B0 = TE0[get_byte(0, T0)] ^ TE1[get_byte(1, T1)] ^
475 TE2[get_byte(2, T2)] ^ TE3[get_byte(3, T3)] ^ EK[r+4];
476 B1 = TE0[get_byte(0, T1)] ^ TE1[get_byte(1, T2)] ^
477 TE2[get_byte(2, T3)] ^ TE3[get_byte(3, T0)] ^ EK[r+5];
478 B2 = TE0[get_byte(0, T2)] ^ TE1[get_byte(1, T3)] ^
479 TE2[get_byte(2, T0)] ^ TE3[get_byte(3, T1)] ^ EK[r+6];
480 B3 = TE0[get_byte(0, T3)] ^ TE1[get_byte(1, T0)] ^
481 TE2[get_byte(2, T1)] ^ TE3[get_byte(3, T2)] ^ EK[r+7];
482 }
483
484 /*
485 Joseph Bonneau and Ilya Mironov's paper "Cache-Collision Timing
486 Attacks Against AES" describes an attack that can recover AES
487 keys with as few as 2**13 samples.
488
489 http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.88.4753
490
491 They recommend using a byte-wide table, which still allows an attack
492 but increases the samples required from 2**13 to 2**25:
493
494 """In addition to OpenSSL v. 0.9.8.(a), which was used in our
495 experiments, the AES implementations of Crypto++ 5.2.1 and
496 LibTomCrypt 1.09 use the original Rijndael C implementation with
497 very few changes and are highly vulnerable. The AES implementations
498 in libgcrypt v. 1.2.2 and Botan v. 1.4.2 are also vulnerable, but
499 use a smaller byte-wide final table which lessens the effectiveness
500 of the attacks."""
501 */
502
503 out[ 0] = SE[get_byte(0, B0)] ^ ME[0];
504 out[ 1] = SE[get_byte(1, B1)] ^ ME[1];
505 out[ 2] = SE[get_byte(2, B2)] ^ ME[2];
506 out[ 3] = SE[get_byte(3, B3)] ^ ME[3];
507 out[ 4] = SE[get_byte(0, B1)] ^ ME[4];
508 out[ 5] = SE[get_byte(1, B2)] ^ ME[5];
509 out[ 6] = SE[get_byte(2, B3)] ^ ME[6];
510 out[ 7] = SE[get_byte(3, B0)] ^ ME[7];
511 out[ 8] = SE[get_byte(0, B2)] ^ ME[8];
512 out[ 9] = SE[get_byte(1, B3)] ^ ME[9];
513 out[10] = SE[get_byte(2, B0)] ^ ME[10];
514 out[11] = SE[get_byte(3, B1)] ^ ME[11];
515 out[12] = SE[get_byte(0, B3)] ^ ME[12];
516 out[13] = SE[get_byte(1, B0)] ^ ME[13];
517 out[14] = SE[get_byte(2, B1)] ^ ME[14];
518 out[15] = SE[get_byte(3, B2)] ^ ME[15];
519
520 in += BLOCK_SIZE;
521 out += BLOCK_SIZE;
522 }
523 }
524
525/*
526* AES Decryption
527*/
528void aes_decrypt_n(const byte in[], byte out[], size_t blocks,
529 const MemoryRegion<u32bit>& DK,
530 const MemoryRegion<byte>& MD)
531 {
532 const size_t BLOCK_SIZE = 16;
533
534 const u32bit* TD0 = TD;
535 const u32bit* TD1 = TD + 256;
536 const u32bit* TD2 = TD + 512;
537 const u32bit* TD3 = TD + 768;
538
539 for(size_t i = 0; i != blocks; ++i)
540 {
541 u32bit T0 = load_be<u32bit>(in, 0) ^ DK[0];
542 u32bit T1 = load_be<u32bit>(in, 1) ^ DK[1];
543 u32bit T2 = load_be<u32bit>(in, 2) ^ DK[2];
544 u32bit T3 = load_be<u32bit>(in, 3) ^ DK[3];
545
546 u32bit B0 = TD[get_byte(0, T0)] ^
547 rotate_right(TD[get_byte(1, T3)], 8) ^
548 rotate_right(TD[get_byte(2, T2)], 16) ^
549 rotate_right(TD[get_byte(3, T1)], 24) ^ DK[4];
550
551 u32bit B1 = TD[get_byte(0, T1)] ^
552 rotate_right(TD[get_byte(1, T0)], 8) ^
553 rotate_right(TD[get_byte(2, T3)], 16) ^
554 rotate_right(TD[get_byte(3, T2)], 24) ^ DK[5];
555
556 u32bit B2 = TD[get_byte(0, T2)] ^
557 rotate_right(TD[get_byte(1, T1)], 8) ^
558 rotate_right(TD[get_byte(2, T0)], 16) ^
559 rotate_right(TD[get_byte(3, T3)], 24) ^ DK[6];
560
561 u32bit B3 = TD[get_byte(0, T3)] ^
562 rotate_right(TD[get_byte(1, T2)], 8) ^
563 rotate_right(TD[get_byte(2, T1)], 16) ^
564 rotate_right(TD[get_byte(3, T0)], 24) ^ DK[7];
565
566 for(size_t r = 2*4; r < DK.size(); r += 2*4)
567 {
568 T0 = TD0[get_byte(0, B0)] ^ TD1[get_byte(1, B3)] ^
569 TD2[get_byte(2, B2)] ^ TD3[get_byte(3, B1)] ^ DK[r];
570 T1 = TD0[get_byte(0, B1)] ^ TD1[get_byte(1, B0)] ^
571 TD2[get_byte(2, B3)] ^ TD3[get_byte(3, B2)] ^ DK[r+1];
572 T2 = TD0[get_byte(0, B2)] ^ TD1[get_byte(1, B1)] ^
573 TD2[get_byte(2, B0)] ^ TD3[get_byte(3, B3)] ^ DK[r+2];
574 T3 = TD0[get_byte(0, B3)] ^ TD1[get_byte(1, B2)] ^
575 TD2[get_byte(2, B1)] ^ TD3[get_byte(3, B0)] ^ DK[r+3];
576
577 B0 = TD0[get_byte(0, T0)] ^ TD1[get_byte(1, T3)] ^
578 TD2[get_byte(2, T2)] ^ TD3[get_byte(3, T1)] ^ DK[r+4];
579 B1 = TD0[get_byte(0, T1)] ^ TD1[get_byte(1, T0)] ^
580 TD2[get_byte(2, T3)] ^ TD3[get_byte(3, T2)] ^ DK[r+5];
581 B2 = TD0[get_byte(0, T2)] ^ TD1[get_byte(1, T1)] ^
582 TD2[get_byte(2, T0)] ^ TD3[get_byte(3, T3)] ^ DK[r+6];
583 B3 = TD0[get_byte(0, T3)] ^ TD1[get_byte(1, T2)] ^
584 TD2[get_byte(2, T1)] ^ TD3[get_byte(3, T0)] ^ DK[r+7];
585 }
586
587 out[ 0] = SD[get_byte(0, B0)] ^ MD[0];
588 out[ 1] = SD[get_byte(1, B3)] ^ MD[1];
589 out[ 2] = SD[get_byte(2, B2)] ^ MD[2];
590 out[ 3] = SD[get_byte(3, B1)] ^ MD[3];
591 out[ 4] = SD[get_byte(0, B1)] ^ MD[4];
592 out[ 5] = SD[get_byte(1, B0)] ^ MD[5];
593 out[ 6] = SD[get_byte(2, B3)] ^ MD[6];
594 out[ 7] = SD[get_byte(3, B2)] ^ MD[7];
595 out[ 8] = SD[get_byte(0, B2)] ^ MD[8];
596 out[ 9] = SD[get_byte(1, B1)] ^ MD[9];
597 out[10] = SD[get_byte(2, B0)] ^ MD[10];
598 out[11] = SD[get_byte(3, B3)] ^ MD[11];
599 out[12] = SD[get_byte(0, B3)] ^ MD[12];
600 out[13] = SD[get_byte(1, B2)] ^ MD[13];
601 out[14] = SD[get_byte(2, B1)] ^ MD[14];
602 out[15] = SD[get_byte(3, B0)] ^ MD[15];
603
604 in += BLOCK_SIZE;
605 out += BLOCK_SIZE;
606 }
607 }
608
609void aes_key_schedule(const byte key[], size_t length,
614 {
615 static const u32bit RC[10] = {
616 0x01000000, 0x02000000, 0x04000000, 0x08000000, 0x10000000,
617 0x20000000, 0x40000000, 0x80000000, 0x1B000000, 0x36000000 };
618
619 const size_t rounds = (length / 4) + 6;
620
621 SecureVector<u32bit> XEK(length + 32), XDK(length + 32);
622
623 const size_t X = length / 4;
624
625 BOTAN_ASSERT(X == 4 || X == 6 || X == 8, "Known AES key size");
626
627 for(size_t i = 0; i != X; ++i)
628 XEK[i] = load_be<u32bit>(key, i);
629
630 for(size_t i = X; i < 4*(rounds+1); i += X)
631 {
632 XEK[i] = XEK[i-X] ^ RC[(i-X)/X] ^
633 make_u32bit(SE[get_byte(1, XEK[i-1])],
634 SE[get_byte(2, XEK[i-1])],
635 SE[get_byte(3, XEK[i-1])],
636 SE[get_byte(0, XEK[i-1])]);
637
638 for(size_t j = 1; j != X; ++j)
639 {
640 XEK[i+j] = XEK[i+j-X];
641
642 if(X == 8 && j == 4)
643 XEK[i+j] ^= make_u32bit(SE[get_byte(0, XEK[i+j-1])],
644 SE[get_byte(1, XEK[i+j-1])],
645 SE[get_byte(2, XEK[i+j-1])],
646 SE[get_byte(3, XEK[i+j-1])]);
647 else
648 XEK[i+j] ^= XEK[i+j-1];
649 }
650 }
651
652 for(size_t i = 0; i != 4*(rounds+1); i += 4)
653 {
654 XDK[i ] = XEK[4*rounds-i ];
655 XDK[i+1] = XEK[4*rounds-i+1];
656 XDK[i+2] = XEK[4*rounds-i+2];
657 XDK[i+3] = XEK[4*rounds-i+3];
658 }
659
660 for(size_t i = 4; i != length + 24; ++i)
661 XDK[i] = TD[SE[get_byte(0, XDK[i])] + 0] ^
662 TD[SE[get_byte(1, XDK[i])] + 256] ^
663 TD[SE[get_byte(2, XDK[i])] + 512] ^
664 TD[SE[get_byte(3, XDK[i])] + 768];
665
666 for(size_t i = 0; i != 4; ++i)
667 {
668 store_be(XEK[i+4*rounds], &ME[4*i]);
669 store_be(XEK[i], &MD[4*i]);
670 }
671
672 EK.resize(length + 24);
673 DK.resize(length + 24);
674 copy_mem(&EK[0], &XEK[0], EK.size());
675 copy_mem(&DK[0], &XDK[0], DK.size());
676 }
677
678}
679
680void AES_128::encrypt_n(const byte in[], byte out[], size_t blocks) const
681 {
682 aes_encrypt_n(in, out, blocks, EK, ME);
683 }
684
685void AES_128::decrypt_n(const byte in[], byte out[], size_t blocks) const
686 {
687 aes_decrypt_n(in, out, blocks, DK, MD);
688 }
689
690void AES_128::key_schedule(const byte key[], size_t length)
691 {
692 aes_key_schedule(key, length, EK, DK, ME, MD);
693 }
694
696 {
697 zeroise(EK);
698 zeroise(DK);
699 zeroise(ME);
700 zeroise(MD);
701 }
702
703void AES_192::encrypt_n(const byte in[], byte out[], size_t blocks) const
704 {
705 aes_encrypt_n(in, out, blocks, EK, ME);
706 }
707
708void AES_192::decrypt_n(const byte in[], byte out[], size_t blocks) const
709 {
710 aes_decrypt_n(in, out, blocks, DK, MD);
711 }
712
713void AES_192::key_schedule(const byte key[], size_t length)
714 {
715 aes_key_schedule(key, length, EK, DK, ME, MD);
716 }
717
719 {
720 zeroise(EK);
721 zeroise(DK);
722 zeroise(ME);
723 zeroise(MD);
724 }
725
726void AES_256::encrypt_n(const byte in[], byte out[], size_t blocks) const
727 {
728 aes_encrypt_n(in, out, blocks, EK, ME);
729 }
730
731void AES_256::decrypt_n(const byte in[], byte out[], size_t blocks) const
732 {
733 aes_decrypt_n(in, out, blocks, DK, MD);
734 }
735
736void AES_256::key_schedule(const byte key[], size_t length)
737 {
738 aes_key_schedule(key, length, EK, DK, ME, MD);
739 }
740
742 {
743 zeroise(EK);
744 zeroise(DK);
745 zeroise(ME);
746 zeroise(MD);
747 }
748
749}
#define BOTAN_ASSERT(expr, msg)
Definition assert.h:19
void decrypt_n(const byte in[], byte out[], size_t blocks) const
Definition aes.cpp:685
void clear()
Definition aes.cpp:695
void encrypt_n(const byte in[], byte out[], size_t blocks) const
Definition aes.cpp:680
void clear()
Definition aes.cpp:718
void encrypt_n(const byte in[], byte out[], size_t blocks) const
Definition aes.cpp:703
void decrypt_n(const byte in[], byte out[], size_t blocks) const
Definition aes.cpp:708
void clear()
Definition aes.cpp:741
void decrypt_n(const byte in[], byte out[], size_t blocks) const
Definition aes.cpp:731
void encrypt_n(const byte in[], byte out[], size_t blocks) const
Definition aes.cpp:726
void zeroise(MemoryRegion< T > &vec)
Definition secmem.h:428
byte get_byte(size_t byte_num, T input)
Definition get_byte.h:21
T load_be(const byte in[], size_t off)
Definition loadstor.h:100
T rotate_right(T input, size_t rot)
Definition rotate.h:34
u32bit make_u32bit(byte i0, byte i1, byte i2, byte i3)
Definition loadstor.h:60
void copy_mem(T *out, const T *in, size_t n)
Definition mem_ops.h:22
unsigned int u32bit
Definition types.h:32
void store_be(u16bit in, byte out[2])
Definition loadstor.h:412