1 /**
2 * Blowfish
3 * 
4 * Copyright:
5 * (C) 1999-2011 Jack Lloyd
6 * (C) 2014-2015 Etienne Cimon
7 *
8 * License:
9 * Botan is released under the Simplified BSD License (see LICENSE.md)
10 */
11 
12 module botan.block.blowfish;
13 
14 import botan.constants;
15 static if (BOTAN_HAS_BLOWFISH):
16 
17 import std.range : iota;
18 import std.algorithm : min;
19 import botan.block.block_cipher;
20 import botan.utils.loadstor;
21 import botan.utils.types;
22 import botan.utils.mem_ops;
23 
24 /**
25 * Blowfish
26 */
27 final class Blowfish : BlockCipherFixedParams!(8, 1, 56), BlockCipher, SymmetricAlgorithm
28 {
29 public:
30     /*
31     * Blowfish Encryption
32     */
33     override void encryptN(const(ubyte)* input, ubyte* output, size_t blocks)
34     {
35         import botan.utils.get_byte : get_byte;
36         const uint* S1 = m_S.ptr;
37         const uint* S2 = &m_S[256];
38         const uint* S3 = &m_S[512];
39         const uint* S4 = &m_S[768];
40         
41         foreach (size_t i; 0 .. blocks)
42         {
43             uint L = loadBigEndian!uint(input, 0);
44             uint R = loadBigEndian!uint(input, 1);
45             
46             for (size_t j = 0; j < 16; j += 2)
47             {
48                 L ^= m_P[j];
49                 R ^= ((S1[get_byte(0, L)]  + S2[get_byte(1, L)]) ^
50                        S3[get_byte(2, L)]) + S4[get_byte(3, L)];
51                 
52                 R ^= m_P[j+1];
53                 L ^= ((S1[get_byte(0, R)]  + S2[get_byte(1, R)]) ^
54                        S3[get_byte(2, R)]) + S4[get_byte(3, R)];
55             }
56             
57             L ^= m_P[16]; R ^= m_P[17];
58             
59             storeBigEndian(output, R, L);
60             
61             input += BLOCK_SIZE;
62             output += BLOCK_SIZE;
63         }
64     }
65 
66 
67     /*
68     * Blowfish Decryption
69     */
70     override void decryptN(const(ubyte)* input, ubyte* output, size_t blocks)
71     {
72         import botan.utils.get_byte : get_byte;
73         const uint* S1 = m_S.ptr;
74         const uint* S2 = &m_S[256];
75         const uint* S3 = &m_S[512];
76         const uint* S4 = &m_S[768];
77         
78         foreach (size_t i; 0 .. blocks)
79         {
80             uint L = loadBigEndian!uint(input, 0);
81             uint R = loadBigEndian!uint(input, 1);
82             
83             for (int j = 17; j > 1; j -= 2)
84             {
85                 L ^= m_P[j];
86                 R ^= ((S1[get_byte(0, L)]  + S2[get_byte(1, L)]) ^
87                        S3[get_byte(2, L)]) + S4[get_byte(3, L)];
88                 
89                 R ^= m_P[j-1];
90                 L ^= ((S1[get_byte(0, R)]  + S2[get_byte(1, R)]) ^
91                        S3[get_byte(2, R)]) + S4[get_byte(3, R)];
92             }
93             
94             L ^= m_P[1]; R ^= m_P[0];
95             
96             storeBigEndian(output, R, L);
97             
98             input += BLOCK_SIZE;
99             output += BLOCK_SIZE;
100         }
101     }
102 
103 
104     /**
105     * Modified EKSBlowfish key schedule, used for bcrypt password hashing
106     */
107     void eksKeySchedule(const(ubyte)* key, size_t length,
108                         in ubyte[16] salt, size_t workfactor)
109     {
110         import std.conv : to;
111         // Truncate longer passwords to the 56 ubyte limit Blowfish enforces
112         length = min(length, 55);
113         
114         if (workfactor == 0)
115             throw new InvalidArgument("Bcrypt work factor must be at least 1");
116         
117         /*
118         * On a 2.8 GHz Core-i7, workfactor == 18 takes about 25 seconds to
119         * hash a password. This seems like a reasonable upper bound for the
120         * time being.
121         */
122         if (workfactor > 18)
123             throw new InvalidArgument("Requested Bcrypt work factor " ~ to!string(workfactor) ~ " too large");
124         
125         m_P.reserve(18);
126         m_P[] = P_INIT[0 .. 18];
127         
128         m_S.reserve(1024);
129         m_S[] = S_INIT[0 .. 1024];
130         
131         key_expansion(key, length, salt);
132 
133         const ubyte[16] null_salt;
134         const size_t rounds = 1 << workfactor;
135         for (size_t r = 0; r != rounds; ++r)
136         {
137             key_expansion(key, length, null_salt);
138             key_expansion(salt.ptr, 16, null_salt);
139         }
140     }
141 
142     /*
143     * Clear memory of sensitive data
144     */
145     override void clear()
146     {
147         zap(m_P);
148         zap(m_S);
149     }
150 
151     override @property string name() const { return "Blowfish"; }
152     override @property size_t parallelism() const { return 1; }
153     override BlockCipher clone() const { return new Blowfish; }
154     override size_t blockSize() const { return super.blockSize(); }
155     override KeyLengthSpecification keySpec() const { return super.keySpec(); }
156 protected:
157     /*
158     * Blowfish Key Schedule
159     */
160     override void keySchedule(const(ubyte)* key, size_t length)
161     {
162         m_P.reserve(18);
163         m_P[] = P_INIT[0 .. 18];
164         
165         m_S.reserve(1024);
166         m_S[] = S_INIT[0 .. 1024];
167         
168         immutable ubyte[16] null_salt;
169         
170         key_expansion(key, length, null_salt);
171     }
172 
173 private:
174     void key_expansion(const(ubyte)* key,
175                        size_t length,
176                        in ubyte[16] salt)
177     {
178         for (size_t i = 0, j = 0; i < 18; ++i, j += 4) {
179             m_P[i] ^= make_uint(key[(j  ) % length], key[(j+1) % length], key[(j+2) % length], key[(j+3) % length]);
180         }
181         
182         uint L = 0, R = 0;
183         generate_sbox(m_P, L, R, salt, 0);
184         generate_sbox(m_S, L, R, salt, 2);
185     }
186 
187 
188     /*
189     * Generate one of the Sboxes
190     */
191     void generate_sbox(ref SecureVector!uint box,
192                        ref uint L, ref uint R,
193                        in ubyte[16] salt,
194                        size_t salt_off) const
195     {
196         import botan.utils.get_byte : get_byte;
197         const uint* S1 = m_S.ptr;
198         const uint* S2 = &m_S[256];
199         const uint* S3 = &m_S[512];
200         const uint* S4 = &m_S[768];
201         
202         for (size_t i = 0; i < box.length; i += 2)
203         {
204             L ^= loadBigEndian!uint(salt.ptr, (i + salt_off) % 4);
205             R ^= loadBigEndian!uint(salt.ptr, (i + salt_off + 1) % 4);
206             
207             for (size_t j = 0; j < 16; j += 2)
208             {
209                 L ^= m_P[j];
210                 R ^= ((S1[get_byte(0, L)]  + S2[get_byte(1, L)]) ^
211                        S3[get_byte(2, L)]) + S4[get_byte(3, L)];
212                 
213                 R ^= m_P[j+1];
214                 L ^= ((S1[get_byte(0, R)]  + S2[get_byte(1, R)]) ^
215                        S3[get_byte(2, R)]) + S4[get_byte(3, R)];
216             }
217             
218             uint T = R; R = L ^ m_P[16]; L = T ^ m_P[17];
219             box[i] = L;
220             box[i+1] = R;
221         }
222     }
223 
224     __gshared immutable uint[18] P_INIT = [
225         0x243F6A88, 0x85A308D3, 0x13198A2E, 0x03707344, 0xA4093822, 0x299F31D0,
226         0x082EFA98, 0xEC4E6C89, 0x452821E6, 0x38D01377, 0xBE5466CF, 0x34E90C6C,
227         0xC0AC29B7, 0xC97C50DD, 0x3F84D5B5, 0xB5470917, 0x9216D5D9, 0x8979FB1B ];
228     __gshared immutable uint[1024] S_INIT = [
229         0xD1310BA6, 0x98DFB5AC, 0x2FFD72DB, 0xD01ADFB7, 0xB8E1AFED, 0x6A267E96,
230         0xBA7C9045, 0xF12C7F99, 0x24A19947, 0xB3916CF7, 0x0801F2E2, 0x858EFC16,
231         0x636920D8, 0x71574E69, 0xA458FEA3, 0xF4933D7E, 0x0D95748F, 0x728EB658,
232         0x718BCD58, 0x82154AEE, 0x7B54A41D, 0xC25A59B5, 0x9C30D539, 0x2AF26013,
233         0xC5D1B023, 0x286085F0, 0xCA417918, 0xB8DB38EF, 0x8E79DCB0, 0x603A180E,
234         0x6C9E0E8B, 0xB01E8A3E, 0xD71577C1, 0xBD314B27, 0x78AF2FDA, 0x55605C60,
235         0xE65525F3, 0xAA55AB94, 0x57489862, 0x63E81440, 0x55CA396A, 0x2AAB10B6,
236         0xB4CC5C34, 0x1141E8CE, 0xA15486AF, 0x7C72E993, 0xB3EE1411, 0x636FBC2A,
237         0x2BA9C55D, 0x741831F6, 0xCE5C3E16, 0x9B87931E, 0xAFD6BA33, 0x6C24CF5C,
238         0x7A325381, 0x28958677, 0x3B8F4898, 0x6B4BB9AF, 0xC4BFE81B, 0x66282193,
239         0x61D809CC, 0xFB21A991, 0x487CAC60, 0x5DEC8032, 0xEF845D5D, 0xE98575B1,
240         0xDC262302, 0xEB651B88, 0x23893E81, 0xD396ACC5, 0x0F6D6FF3, 0x83F44239,
241         0x2E0B4482, 0xA4842004, 0x69C8F04A, 0x9E1F9B5E, 0x21C66842, 0xF6E96C9A,
242         0x670C9C61, 0xABD388F0, 0x6A51A0D2, 0xD8542F68, 0x960FA728, 0xAB5133A3,
243         0x6EEF0B6C, 0x137A3BE4, 0xBA3BF050, 0x7EFB2A98, 0xA1F1651D, 0x39AF0176,
244         0x66CA593E, 0x82430E88, 0x8CEE8619, 0x456F9FB4, 0x7D84A5C3, 0x3B8B5EBE,
245         0xE06F75D8, 0x85C12073, 0x401A449F, 0x56C16AA6, 0x4ED3AA62, 0x363F7706,
246         0x1BFEDF72, 0x429B023D, 0x37D0D724, 0xD00A1248, 0xDB0FEAD3, 0x49F1C09B,
247         0x075372C9, 0x80991B7B, 0x25D479D8, 0xF6E8DEF7, 0xE3FE501A, 0xB6794C3B,
248         0x976CE0BD, 0x04C006BA, 0xC1A94FB6, 0x409F60C4, 0x5E5C9EC2, 0x196A2463,
249         0x68FB6FAF, 0x3E6C53B5, 0x1339B2EB, 0x3B52EC6F, 0x6DFC511F, 0x9B30952C,
250         0xCC814544, 0xAF5EBD09, 0xBEE3D004, 0xDE334AFD, 0x660F2807, 0x192E4BB3,
251         0xC0CBA857, 0x45C8740F, 0xD20B5F39, 0xB9D3FBDB, 0x5579C0BD, 0x1A60320A,
252         0xD6A100C6, 0x402C7279, 0x679F25FE, 0xFB1FA3CC, 0x8EA5E9F8, 0xDB3222F8,
253         0x3C7516DF, 0xFD616B15, 0x2F501EC8, 0xAD0552AB, 0x323DB5FA, 0xFD238760,
254         0x53317B48, 0x3E00DF82, 0x9E5C57BB, 0xCA6F8CA0, 0x1A87562E, 0xDF1769DB,
255         0xD542A8F6, 0x287EFFC3, 0xAC6732C6, 0x8C4F5573, 0x695B27B0, 0xBBCA58C8,
256         0xE1FFA35D, 0xB8F011A0, 0x10FA3D98, 0xFD2183B8, 0x4AFCB56C, 0x2DD1D35B,
257         0x9A53E479, 0xB6F84565, 0xD28E49BC, 0x4BFB9790, 0xE1DDF2DA, 0xA4CB7E33,
258         0x62FB1341, 0xCEE4C6E8, 0xEF20CADA, 0x36774C01, 0xD07E9EFE, 0x2BF11FB4,
259         0x95DBDA4D, 0xAE909198, 0xEAAD8E71, 0x6B93D5A0, 0xD08ED1D0, 0xAFC725E0,
260         0x8E3C5B2F, 0x8E7594B7, 0x8FF6E2FB, 0xF2122B64, 0x8888B812, 0x900DF01C,
261         0x4FAD5EA0, 0x688FC31C, 0xD1CFF191, 0xB3A8C1AD, 0x2F2F2218, 0xBE0E1777,
262         0xEA752DFE, 0x8B021FA1, 0xE5A0CC0F, 0xB56F74E8, 0x18ACF3D6, 0xCE89E299,
263         0xB4A84FE0, 0xFD13E0B7, 0x7CC43B81, 0xD2ADA8D9, 0x165FA266, 0x80957705,
264         0x93CC7314, 0x211A1477, 0xE6AD2065, 0x77B5FA86, 0xC75442F5, 0xFB9D35CF,
265         0xEBCDAF0C, 0x7B3E89A0, 0xD6411BD3, 0xAE1E7E49, 0x00250E2D, 0x2071B35E,
266         0x226800BB, 0x57B8E0AF, 0x2464369B, 0xF009B91E, 0x5563911D, 0x59DFA6AA,
267         0x78C14389, 0xD95A537F, 0x207D5BA2, 0x02E5B9C5, 0x83260376, 0x6295CFA9,
268         0x11C81968, 0x4E734A41, 0xB3472DCA, 0x7B14A94A, 0x1B510052, 0x9A532915,
269         0xD60F573F, 0xBC9BC6E4, 0x2B60A476, 0x81E67400, 0x08BA6FB5, 0x571BE91F,
270         0xF296EC6B, 0x2A0DD915, 0xB6636521, 0xE7B9F9B6, 0xFF34052E, 0xC5855664,
271         0x53B02D5D, 0xA99F8FA1, 0x08BA4799, 0x6E85076A, 0x4B7A70E9, 0xB5B32944,
272         0xDB75092E, 0xC4192623, 0xAD6EA6B0, 0x49A7DF7D, 0x9CEE60B8, 0x8FEDB266,
273         0xECAA8C71, 0x699A17FF, 0x5664526C, 0xC2B19EE1, 0x193602A5, 0x75094C29,
274         0xA0591340, 0xE4183A3E, 0x3F54989A, 0x5B429D65, 0x6B8FE4D6, 0x99F73FD6,
275         0xA1D29C07, 0xEFE830F5, 0x4D2D38E6, 0xF0255DC1, 0x4CDD2086, 0x8470EB26,
276         0x6382E9C6, 0x021ECC5E, 0x09686B3F, 0x3EBAEFC9, 0x3C971814, 0x6B6A70A1,
277         0x687F3584, 0x52A0E286, 0xB79C5305, 0xAA500737, 0x3E07841C, 0x7FDEAE5C,
278         0x8E7D44EC, 0x5716F2B8, 0xB03ADA37, 0xF0500C0D, 0xF01C1F04, 0x0200B3FF,
279         0xAE0CF51A, 0x3CB574B2, 0x25837A58, 0xDC0921BD, 0xD19113F9, 0x7CA92FF6,
280         0x94324773, 0x22F54701, 0x3AE5E581, 0x37C2DADC, 0xC8B57634, 0x9AF3DDA7,
281         0xA9446146, 0x0FD0030E, 0xECC8C73E, 0xA4751E41, 0xE238CD99, 0x3BEA0E2F,
282         0x3280BBA1, 0x183EB331, 0x4E548B38, 0x4F6DB908, 0x6F420D03, 0xF60A04BF,
283         0x2CB81290, 0x24977C79, 0x5679B072, 0xBCAF89AF, 0xDE9A771F, 0xD9930810,
284         0xB38BAE12, 0xDCCF3F2E, 0x5512721F, 0x2E6B7124, 0x501ADDE6, 0x9F84CD87,
285         0x7A584718, 0x7408DA17, 0xBC9F9ABC, 0xE94B7D8C, 0xEC7AEC3A, 0xDB851DFA,
286         0x63094366, 0xC464C3D2, 0xEF1C1847, 0x3215D908, 0xDD433B37, 0x24C2BA16,
287         0x12A14D43, 0x2A65C451, 0x50940002, 0x133AE4DD, 0x71DFF89E, 0x10314E55,
288         0x81AC77D6, 0x5F11199B, 0x043556F1, 0xD7A3C76B, 0x3C11183B, 0x5924A509,
289         0xF28FE6ED, 0x97F1FBFA, 0x9EBABF2C, 0x1E153C6E, 0x86E34570, 0xEAE96FB1,
290         0x860E5E0A, 0x5A3E2AB3, 0x771FE71C, 0x4E3D06FA, 0x2965DCB9, 0x99E71D0F,
291         0x803E89D6, 0x5266C825, 0x2E4CC978, 0x9C10B36A, 0xC6150EBA, 0x94E2EA78,
292         0xA5FC3C53, 0x1E0A2DF4, 0xF2F74EA7, 0x361D2B3D, 0x1939260F, 0x19C27960,
293         0x5223A708, 0xF71312B6, 0xEBADFE6E, 0xEAC31F66, 0xE3BC4595, 0xA67BC883,
294         0xB17F37D1, 0x018CFF28, 0xC332DDEF, 0xBE6C5AA5, 0x65582185, 0x68AB9802,
295         0xEECEA50F, 0xDB2F953B, 0x2AEF7DAD, 0x5B6E2F84, 0x1521B628, 0x29076170,
296         0xECDD4775, 0x619F1510, 0x13CCA830, 0xEB61BD96, 0x0334FE1E, 0xAA0363CF,
297         0xB5735C90, 0x4C70A239, 0xD59E9E0B, 0xCBAADE14, 0xEECC86BC, 0x60622CA7,
298         0x9CAB5CAB, 0xB2F3846E, 0x648B1EAF, 0x19BDF0CA, 0xA02369B9, 0x655ABB50,
299         0x40685A32, 0x3C2AB4B3, 0x319EE9D5, 0xC021B8F7, 0x9B540B19, 0x875FA099,
300         0x95F7997E, 0x623D7DA8, 0xF837889A, 0x97E32D77, 0x11ED935F, 0x16681281,
301         0x0E358829, 0xC7E61FD6, 0x96DEDFA1, 0x7858BA99, 0x57F584A5, 0x1B227263,
302         0x9B83C3FF, 0x1AC24696, 0xCDB30AEB, 0x532E3054, 0x8FD948E4, 0x6DBC3128,
303         0x58EBF2EF, 0x34C6FFEA, 0xFE28ED61, 0xEE7C3C73, 0x5D4A14D9, 0xE864B7E3,
304         0x42105D14, 0x203E13E0, 0x45EEE2B6, 0xA3AAABEA, 0xDB6C4F15, 0xFACB4FD0,
305         0xC742F442, 0xEF6ABBB5, 0x654F3B1D, 0x41CD2105, 0xD81E799E, 0x86854DC7,
306         0xE44B476A, 0x3D816250, 0xCF62A1F2, 0x5B8D2646, 0xFC8883A0, 0xC1C7B6A3,
307         0x7F1524C3, 0x69CB7492, 0x47848A0B, 0x5692B285, 0x095BBF00, 0xAD19489D,
308         0x1462B174, 0x23820E00, 0x58428D2A, 0x0C55F5EA, 0x1DADF43E, 0x233F7061,
309         0x3372F092, 0x8D937E41, 0xD65FECF1, 0x6C223BDB, 0x7CDE3759, 0xCBEE7460,
310         0x4085F2A7, 0xCE77326E, 0xA6078084, 0x19F8509E, 0xE8EFD855, 0x61D99735,
311         0xA969A7AA, 0xC50C06C2, 0x5A04ABFC, 0x800BCADC, 0x9E447A2E, 0xC3453484,
312         0xFDD56705, 0x0E1E9EC9, 0xDB73DBD3, 0x105588CD, 0x675FDA79, 0xE3674340,
313         0xC5C43465, 0x713E38D8, 0x3D28F89E, 0xF16DFF20, 0x153E21E7, 0x8FB03D4A,
314         0xE6E39F2B, 0xDB83ADF7, 0xE93D5A68, 0x948140F7, 0xF64C261C, 0x94692934,
315         0x411520F7, 0x7602D4F7, 0xBCF46B2E, 0xD4A20068, 0xD4082471, 0x3320F46A,
316         0x43B7D4B7, 0x500061AF, 0x1E39F62E, 0x97244546, 0x14214F74, 0xBF8B8840,
317         0x4D95FC1D, 0x96B591AF, 0x70F4DDD3, 0x66A02F45, 0xBFBC09EC, 0x03BD9785,
318         0x7FAC6DD0, 0x31CB8504, 0x96EB27B3, 0x55FD3941, 0xDA2547E6, 0xABCA0A9A,
319         0x28507825, 0x530429F4, 0x0A2C86DA, 0xE9B66DFB, 0x68DC1462, 0xD7486900,
320         0x680EC0A4, 0x27A18DEE, 0x4F3FFEA2, 0xE887AD8C, 0xB58CE006, 0x7AF4D6B6,
321         0xAACE1E7C, 0xD3375FEC, 0xCE78A399, 0x406B2A42, 0x20FE9E35, 0xD9F385B9,
322         0xEE39D7AB, 0x3B124E8B, 0x1DC9FAF7, 0x4B6D1856, 0x26A36631, 0xEAE397B2,
323         0x3A6EFA74, 0xDD5B4332, 0x6841E7F7, 0xCA7820FB, 0xFB0AF54E, 0xD8FEB397,
324         0x454056AC, 0xBA489527, 0x55533A3A, 0x20838D87, 0xFE6BA9B7, 0xD096954B,
325         0x55A867BC, 0xA1159A58, 0xCCA92963, 0x99E1DB33, 0xA62A4A56, 0x3F3125F9,
326         0x5EF47E1C, 0x9029317C, 0xFDF8E802, 0x04272F70, 0x80BB155C, 0x05282CE3,
327         0x95C11548, 0xE4C66D22, 0x48C1133F, 0xC70F86DC, 0x07F9C9EE, 0x41041F0F,
328         0x404779A4, 0x5D886E17, 0x325F51EB, 0xD59BC0D1, 0xF2BCC18F, 0x41113564,
329         0x257B7834, 0x602A9C60, 0xDFF8E8A3, 0x1F636C1B, 0x0E12B4C2, 0x02E1329E,
330         0xAF664FD1, 0xCAD18115, 0x6B2395E0, 0x333E92E1, 0x3B240B62, 0xEEBEB922,
331         0x85B2A20E, 0xE6BA0D99, 0xDE720C8C, 0x2DA2F728, 0xD0127845, 0x95B794FD,
332         0x647D0862, 0xE7CCF5F0, 0x5449A36F, 0x877D48FA, 0xC39DFD27, 0xF33E8D1E,
333         0x0A476341, 0x992EFF74, 0x3A6F6EAB, 0xF4F8FD37, 0xA812DC60, 0xA1EBDDF8,
334         0x991BE14C, 0xDB6E6B0D, 0xC67B5510, 0x6D672C37, 0x2765D43B, 0xDCD0E804,
335         0xF1290DC7, 0xCC00FFA3, 0xB5390F92, 0x690FED0B, 0x667B9FFB, 0xCEDB7D9C,
336         0xA091CF0B, 0xD9155EA3, 0xBB132F88, 0x515BAD24, 0x7B9479BF, 0x763BD6EB,
337         0x37392EB3, 0xCC115979, 0x8026E297, 0xF42E312D, 0x6842ADA7, 0xC66A2B3B,
338         0x12754CCC, 0x782EF11C, 0x6A124237, 0xB79251E7, 0x06A1BBE6, 0x4BFB6350,
339         0x1A6B1018, 0x11CAEDFA, 0x3D25BDD8, 0xE2E1C3C9, 0x44421659, 0x0A121386,
340         0xD90CEC6E, 0xD5ABEA2A, 0x64AF674E, 0xDA86A85F, 0xBEBFE988, 0x64E4C3FE,
341         0x9DBC8057, 0xF0F7C086, 0x60787BF8, 0x6003604D, 0xD1FD8346, 0xF6381FB0,
342         0x7745AE04, 0xD736FCCC, 0x83426B33, 0xF01EAB71, 0xB0804187, 0x3C005E5F,
343         0x77A057BE, 0xBDE8AE24, 0x55464299, 0xBF582E61, 0x4E58F48F, 0xF2DDFDA2,
344         0xF474EF38, 0x8789BDC2, 0x5366F9C3, 0xC8B38E74, 0xB475F255, 0x46FCD9B9,
345         0x7AEB2661, 0x8B1DDF84, 0x846A0E79, 0x915F95E2, 0x466E598E, 0x20B45770,
346         0x8CD55591, 0xC902DE4C, 0xB90BACE1, 0xBB8205D0, 0x11A86248, 0x7574A99E,
347         0xB77F19B6, 0xE0A9DC09, 0x662D09A1, 0xC4324633, 0xE85A1F02, 0x09F0BE8C,
348         0x4A99A025, 0x1D6EFE10, 0x1AB93D1D, 0x0BA5A4DF, 0xA186F20F, 0x2868F169,
349         0xDCB7DA83, 0x573906FE, 0xA1E2CE9B, 0x4FCD7F52, 0x50115E01, 0xA70683FA,
350         0xA002B5C4, 0x0DE6D027, 0x9AF88C27, 0x773F8641, 0xC3604C06, 0x61A806B5,
351         0xF0177A28, 0xC0F586E0, 0x006058AA, 0x30DC7D62, 0x11E69ED7, 0x2338EA63,
352         0x53C2DD94, 0xC2C21634, 0xBBCBEE56, 0x90BCB6DE, 0xEBFC7DA1, 0xCE591D76,
353         0x6F05E409, 0x4B7C0188, 0x39720A3D, 0x7C927C24, 0x86E3725F, 0x724D9DB9,
354         0x1AC15BB4, 0xD39EB8FC, 0xED545578, 0x08FCA5B5, 0xD83D7CD3, 0x4DAD0FC4,
355         0x1E50EF5E, 0xB161E6F8, 0xA28514D9, 0x6C51133C, 0x6FD5C7E7, 0x56E14EC4,
356         0x362ABFCE, 0xDDC6C837, 0xD79A3234, 0x92638212, 0x670EFA8E, 0x406000E0,
357         0x3A39CE37, 0xD3FAF5CF, 0xABC27737, 0x5AC52D1B, 0x5CB0679E, 0x4FA33742,
358         0xD3822740, 0x99BC9BBE, 0xD5118E9D, 0xBF0F7315, 0xD62D1C7E, 0xC700C47B,
359         0xB78C1B6B, 0x21A19045, 0xB26EB1BE, 0x6A366EB4, 0x5748AB2F, 0xBC946E79,
360         0xC6A376D2, 0x6549C2C8, 0x530FF8EE, 0x468DDE7D, 0xD5730A1D, 0x4CD04DC6,
361         0x2939BBDB, 0xA9BA4650, 0xAC9526E8, 0xBE5EE304, 0xA1FAD5F0, 0x6A2D519A,
362         0x63EF8CE2, 0x9A86EE22, 0xC089C2B8, 0x43242EF6, 0xA51E03AA, 0x9CF2D0A4,
363         0x83C061BA, 0x9BE96A4D, 0x8FE51550, 0xBA645BD6, 0x2826A2F9, 0xA73A3AE1,
364         0x4BA99586, 0xEF5562E9, 0xC72FEFD3, 0xF752F7DA, 0x3F046F69, 0x77FA0A59,
365         0x80E4A915, 0x87B08601, 0x9B09E6AD, 0x3B3EE593, 0xE990FD5A, 0x9E34D797,
366         0x2CF0B7D9, 0x022B8B51, 0x96D5AC3A, 0x017DA67D, 0xD1CF3ED6, 0x7C7D2D28,
367         0x1F9F25CF, 0xADF2B89B, 0x5AD6B472, 0x5A88F54C, 0xE029AC71, 0xE019A5E6,
368         0x47B0ACFD, 0xED93FA9B, 0xE8D3C48D, 0x283B57CC, 0xF8D56629, 0x79132E28,
369         0x785F0191, 0xED756055, 0xF7960E44, 0xE3D35E8C, 0x15056DD4, 0x88F46DBA,
370         0x03A16125, 0x0564F0BD, 0xC3EB9E15, 0x3C9057A2, 0x97271AEC, 0xA93A072A,
371         0x1B3F6D9B, 0x1E6321F5, 0xF59C66FB, 0x26DCF319, 0x7533D928, 0xB155FDF5,
372         0x03563482, 0x8ABA3CBB, 0x28517711, 0xC20AD9F8, 0xABCC5167, 0xCCAD925F,
373         0x4DE81751, 0x3830DC8E, 0x379D5862, 0x9320F991, 0xEA7A90C2, 0xFB3E7BCE,
374         0x5121CE64, 0x774FBE32, 0xA8B6E37E, 0xC3293D46, 0x48DE5369, 0x6413E680,
375         0xA2AE0810, 0xDD6DB224, 0x69852DFD, 0x09072166, 0xB39A460A, 0x6445C0DD,
376         0x586CDECF, 0x1C20C8AE, 0x5BBEF7DD, 0x1B588D40, 0xCCD2017F, 0x6BB4E3BB,
377         0xDDA26A7E, 0x3A59FF45, 0x3E350A44, 0xBCB4CDD5, 0x72EACEA8, 0xFA6484BB,
378         0x8D6612AE, 0xBF3C6F47, 0xD29BE463, 0x542F5D9E, 0xAEC2771B, 0xF64E6370,
379         0x740E0D8D, 0xE75B1357, 0xF8721671, 0xAF537D5D, 0x4040CB08, 0x4EB4E2CC,
380         0x34D2466A, 0x0115AF84, 0xE1B00428, 0x95983A1D, 0x06B89FB4, 0xCE6EA048,
381         0x6F3F3B82, 0x3520AB82, 0x011A1D4B, 0x277227F8, 0x611560B1, 0xE7933FDC,
382         0xBB3A792B, 0x344525BD, 0xA08839E1, 0x51CE794B, 0x2F32C9B7, 0xA01FBAC9,
383         0xE01CC87E, 0xBCC7D1F6, 0xCF0111C3, 0xA1E8AAC7, 0x1A908749, 0xD44FBD9A,
384         0xD0DADECB, 0xD50ADA38, 0x0339C32A, 0xC6913667, 0x8DF9317C, 0xE0B12B4F,
385         0xF79E59B7, 0x43F5BB3A, 0xF2D519FF, 0x27D9459C, 0xBF97222C, 0x15E6FC2A,
386         0x0F91FC71, 0x9B941525, 0xFAE59361, 0xCEB69CEB, 0xC2A86459, 0x12BAA8D1,
387         0xB6C1075E, 0xE3056A0C, 0x10D25065, 0xCB03A442, 0xE0EC6E0E, 0x1698DB3B,
388         0x4C98A0BE, 0x3278E964, 0x9F1F9532, 0xE0D392DF, 0xD3A0342B, 0x8971F21E,
389         0x1B0A7441, 0x4BA3348C, 0xC5BE7120, 0xC37632D8, 0xDF359F8D, 0x9B992F2E,
390         0xE60B6F47, 0x0FE3F11D, 0xE54CDA54, 0x1EDAD891, 0xCE6279CF, 0xCD3E7E6F,
391         0x1618B166, 0xFD2C1D05, 0x848FD2C5, 0xF6FB2299, 0xF523F357, 0xA6327623,
392         0x93A83531, 0x56CCCD02, 0xACF08162, 0x5A75EBB5, 0x6E163697, 0x88D273CC,
393         0xDE966292, 0x81B949D0, 0x4C50901B, 0x71C65614, 0xE6C6C7BD, 0x327A140A,
394         0x45E1D006, 0xC3F27B9A, 0xC9AA53FD, 0x62A80F00, 0xBB25BFE2, 0x35BDD2F6,
395         0x71126905, 0xB2040222, 0xB6CBCF7C, 0xCD769C2B, 0x53113EC0, 0x1640E3D3,
396         0x38ABBD60, 0x2547ADF0, 0xBA38209C, 0xF746CE76, 0x77AFA1C5, 0x20756060,
397         0x85CBFE4E, 0x8AE88DD8, 0x7AAAF9B0, 0x4CF9AA7E, 0x1948C25C, 0x02FB8A8C,
398         0x01C36AE4, 0xD6EBE1F9, 0x90D4F869, 0xA65CDEA0, 0x3F09252D, 0xC208E69F,
399         0xB74E6132, 0xCE77E25B, 0x578FDFE3, 0x3AC372E6 ];
400 
401     SecureVector!uint m_S, m_P;
402 }