FreeCalypso > hg > freecalypso-tools

annotate rvinterf/etmsync/cl_des.c @ 802:1c599681fd60

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pcm-sms-decode & sms-pdu-decode: revamp bad char decoding
author Mychaela Falconia <falcon@freecalypso.org>
date Thu, 25 Mar 2021 02:58:30 +0000
parents 3d148edb87c2
children
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rev   line source
14
3d148edb87c2 eliminated the dependency on OpenSSL for Pirelli IMEI DES decryption
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1 /*
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2 * This DES implementation is used for the purpose of decrypting
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3 * Pirelli's factory IMEI record; it has been lifted out of TI's
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4 * reference GSM firmware source.
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5 */
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6
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7 #include "cl_des.h"
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8
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9 typedef unsigned char UBYTE;
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10
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11 /* 64+64+17*56+16*48+64+17*32+17*32 = 3000 bytes */
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12 static UBYTE binmsg[64] , binkey[64], cd[17][56] , deskey[16][48] , ip[64];
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13 static UBYTE l[17][32] , r[17][32];
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14 /* 64+64+32+32+64+64+17*3+2 = 373 bytes */
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15 static UBYTE rnew[64] , xorres[64] , scale[32] , perm[32] , rl[64] , encpt[64];
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16
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17 /* 64+16+48+64+48+32+64+8*66 = 864 bytes */
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18 static
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19 const UBYTE shtamt[16] = {1,1,2,2,2,2,2,2,1,2,2,2,2,2,2,1};
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20 static
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21 const UBYTE iporder[64] = {58,50,42,34,26,18,10,2,60,52,44,36,28,20,12,4,62,54,
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22 46,38,30,22,14,6,64,56,48,40,32,24,16,8,57,49,41,33,
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23 25,17,9,1,59,51,43,35,27,19,11,3,61,53,45,37,29,21,
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24 13,5,63,55,47,39,31,23,15,7};
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25 static
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26 const UBYTE pc1[64] = {57,49,41,33,25,17,9,1,58,50,42,34,26,18,10,2,59,51,43,
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27 35,27,19,11,3,60,52,44,36,63,55,47,39,31,23,15,7,62,54,
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28 46,38,30,22,14,6,61,53,45,37,29,21,13,5,28,20,12,4};
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29 static
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30 const UBYTE pc2[48] = {14,17,11,24,1,5,3,28,15,6,21,10,23,19,12,4,26,8,
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31 16,7,27,20,13,2,41,52,31,37,47,55,30,40,51,45,33,
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32 48,44,49,39,56,34,53,46,42,50,36,29,32};
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33 static
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34 const UBYTE e[48] = {32,1,2,3,4,5,4,5,6,7,8,9,8,9,10,11,12,13,12,13,14,15,
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35 16,17,16,17,18,19,20,21,20,21,22,23,24,25,24,25,26,27,
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36 28,29,28, 29,30,31,32,1};
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37 static
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38 const UBYTE sp[32] = {16,7,20,21,29,12,28,17,1,15,23,26,5,18,31,10,
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39 2,8,24,14,32,27,3,9,19,13,30,6,22,11,4,25};
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40 static
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41 const UBYTE ipinv[64] = {40,8,48,16,56,24,64,32,39,7,47,15,55,23,63,31,38,6,46,
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42 14,54,22,62,30,37,5,45,13,53,21,61,29,36,4,44,12,52,
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43 20,60,28,35,3,43,11,51,19,59,27,34,2,42,10,50,18,58,
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44 26,33,1,41,9,49,17,57,25};
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45 static
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46 const UBYTE s[8][66] = {{14,4,13,1,2,15,11,8,3,10,6,12,5,9,0,7,0,15,7,4,14,2,13,
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47 1,10,6,12,11,9,5,3,8,4,1,14,8,13,6,2,11,15,12,9,7,3,10,
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48 5,0,15,12,8,2,4,9,1,7,5,11,3,14,10,0,6,13},
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49 {15,1,8,14,6,11,3,4,9,7,2,13,12,0,5,10,3,13,4,7,15,2,8,
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50 14,12,0,1,10,6,9,11,5,0,14,7,11,10,4,13,1,5,8,12,6,9,3,
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51 2,15,13,8,10,1,3,15,4,2,11,6,7,12,0,5,14,9},
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52 {10,0,9,14,6,3,15,5,1,13,12,7,11,4,2,8,13,7,0,9,3,4,6,
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53 10,2,8,5,14,12,11,15,1,13,6,4,9,8,15,3,0,11,1,2,12,5,
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54 10,14,7,1,10,13,0,6,9,8,7,4,15,14,3,11,5,2,12 },
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55 {7,13,14,3,0,6,9,10,1,2,8,5,11,12,4,15,13,8,11,5,6,15,
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56 0,3,4,7,2,12,1,10,14,9,10,6,9,0,12,11,7,13,15,1,3,14,
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57 5,2,8,4,3,15,0,6,10,1,13,8,9,4,5,11,12,7,2,14 },
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58 {2,12,4,1,7,10,11,6,8,5,3,15,13,0,14,9,14,11,2,12,4,7,
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59 13,1,5,0,15,10,3,9,8,6,4,2,1,11,10,13,7,8,15,9,12,5,6,
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60 3,0,14,11,8,12,7,1,14,2,13,6,15,0,9,10,4,5,3 },
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61 {12,1,10,15,9,2,6,8,0,13,3,4,14,7,5,11,10,15,4,2,7,12,
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62 9,5,6,1,13,14,0,11,3,8,9,14,15,5,2,8,12,3,7,0,4,10,1,
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63 13,11,6,4,3,2,12,9,5,15,10,11,14,1,7,6,0,8,13 },
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64 {4,11,2,14,15,0,8,13,3,12,9,7,5,10,6,1,13,0,11,7,4,9,1,
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65 10,14,3,5,12,2,15,8,6,1,4,11,13,12,3,7,14,10,15,6,8,0,
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66 5,9,2,6,11,13,8,1,4,10,7,9,5,0,15,14,2,3,12 },
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67 {13,2,8,4,6,15,11,1,10,9,3,14,5,0,12,7,1,15,13,8,10,3,7,
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68 4,12,5,6,11,0,14,9,2,7,11,4,1,9,12,14,2,0,6,10,13,15,3,
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69 5,8,2,1,14,7,4,10,8,13,15,12,9,0,3,5,6,11 }};
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70
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71
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72 /*==== FUNCTIONS ==================================================*/
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73
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74 #define LOCAL static
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75
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76 /*
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77 +------------------------------------------------------------------------------
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78 | Function : des_hex2bin4
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79 +------------------------------------------------------------------------------
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80 | Description : The function converts a 4 bit hex value to 4 binary values
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81 |
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82 | Parameters : hex : value in hex
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83 | m : pointer to buffer of 4 elements to store binary values
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84 +------------------------------------------------------------------------------
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85 */
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86 LOCAL void des_hex2bin4(UBYTE hex, UBYTE *m)
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87 {
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88 m[0] = (hex & 0x08) >> 3;
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89 m[1] = (hex & 0x04) >> 2;
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90 m[2] = (hex & 0x02) >> 1;
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91 m[3] = hex & 0x01;
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92 }
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93
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94 /*
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95 +------------------------------------------------------------------------------
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96 | Function : des_hex2bin8
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97 +------------------------------------------------------------------------------
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98 | Description : The function converts a 8 bit hex value to 8 binary values
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99 |
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100 | Parameters : hex : value in hex
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101 | m : pointer to buffer of 8 elements to store binary values
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102 +------------------------------------------------------------------------------
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103 */
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104 LOCAL void des_hex2bin8(UBYTE hex, UBYTE *m)
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105 {
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106 m[0] = (hex & 0x80) >> 7;
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107 m[1] = (hex & 0x40) >> 6;
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108 m[2] = (hex & 0x20) >> 5;
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109 m[3] = (hex & 0x10) >> 4;
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110 m[4] = (hex & 0x08) >> 3;
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111 m[5] = (hex & 0x04) >> 2;
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112 m[6] = (hex & 0x02) >> 1;
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113 m[7] = hex & 0x01;
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114 }
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115
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116 /*
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117 +------------------------------------------------------------------------------
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118 | Function : des_bin2hex
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119 +------------------------------------------------------------------------------
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120 | Description : The function converts 8 bin values to an 8 bit hex value
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121 |
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122 | Parameters : m[8] : input bin values
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123 | Return : converted hex value
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124 +------------------------------------------------------------------------------
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125 */
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126
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127 LOCAL UBYTE des_bin2hex(UBYTE *m)
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128 {
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129 UBYTE hex;
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130 return hex = (m[0]<<7) | (m[1]<<6) | (m[2]<<5) | (m[3]<<4) |
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131 (m[4]<<3) | (m[5]<<2) | (m[6]<<1) | m[7];
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132 }
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133
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134
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135
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136 /*
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137 +------------------------------------------------------------------------------
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138 | Function : des_shift
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139 +------------------------------------------------------------------------------
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140 | Description : The function performs shifting
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141 |
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142 | Parameters : dst : pointer to destination buffer
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143 | src : pointer to source buffer
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144 | sht : shift value
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145 +------------------------------------------------------------------------------
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146 */
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147
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148 LOCAL void des_shift(UBYTE *dst, UBYTE *src, UBYTE sht)
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149 {
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150 UBYTE c1 , c2 , d1 , d2;
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151 int i;
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152
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153 c1 = src[0];
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154 c2 = src[1];
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155 d1 = src[28];
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156 d2 = src[29];
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157
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158 for ( i = 0 ; i < 28 - sht ; i++) {
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159 dst[i] = src[i + sht]; /* copying c[i] */
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160 dst[28 + i] = src[28 + i + sht]; /* copying d[i] */
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161 }
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162
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163 if (sht == 1){
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164 dst[27] = c1;
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165 dst[55] = d1;
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166 } else {
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167 dst[26] = c1;
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168 dst[27] = c2;
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169 dst[54] = d1;
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170 dst[55] = d2;
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171 }
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172 }
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173
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174 /*
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175 +------------------------------------------------------------------------------
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176 | Function : des_indx
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177 +------------------------------------------------------------------------------
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178 | Description : The function generates index for S table
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179 |
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180 | Parameters : m[6] :
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181 | Return : index value
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182 +------------------------------------------------------------------------------
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183 */
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184 LOCAL UBYTE des_indx(UBYTE *m)
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185 {
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186 return( (((m[0]<<1) + m[5])<<4) + ((m[1]<<3) + (m[2]<<2) + (m[3]<<1) + m[4]));
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187 }
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188
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189 /*
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190 +------------------------------------------------------------------------------
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191 | Function : cl_des
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192 +------------------------------------------------------------------------------
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193 | Description : The function performs DES encrypting or decrypting
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194 |
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195 | Parameters : inMsgPtr : pointer to input message M. The length of message
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196 | has to be min. 8 bytes e.g. M = 0123456789abcdef
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197 | desKeyPtr : pointer to DES key. Length has to be 8 bytes
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198 | outMsgPtr : output encrypted/decrypted message. The length is 8 b.
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199 | code : CL_DES_ENCRYPTION, CL_DES_DECRYPTION
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200 +------------------------------------------------------------------------------
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201 */
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202 void cl_des(UBYTE *inMsgPtr, UBYTE *desKeyPtr, UBYTE *outMsgPtr, UBYTE code)
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203 {
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204
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diff changeset
205 int y , z , g;
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206 UBYTE temp, more;
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207
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208 /*
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209 * convert message from hex to bin format
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210 */
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211 for(y = 0; y < 8; y++){
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212 des_hex2bin8(inMsgPtr[y], &binmsg[8 * y]);
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213 }
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214
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215 /*
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216 * Convert DES key value from hex to bin format
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diff changeset
217 */
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218 for( y = 0; y < 8; y++){
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diff changeset
219 des_hex2bin8(desKeyPtr[y], &binkey[8 * y]);
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220 }
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221
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222 /*
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223 * Step 1: Create 16 subkeys, each of which is 48-bits long.
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224 *
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225 * The 64-bit key is permuted according to the table pc1,
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226 * to get the 56 bit subkey K+. The subkey K+ consists of left
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227 * and right halves C0 and D0, where each half has 28 bits.
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228 */
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parents:
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229 for(y = 0 ; y < 56 ; y++)
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parents:
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230 cd[0][y] = binkey[pc1[y] - 1];
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
231 /*
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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232 * Create futher 15 subkeys C1-C16 and D1-D16 by left shifts of
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
233 * each previous key, i.e. C2 and D2 are obtained from C1 and D1 and so on.
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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234 */
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
235 for(y = 0 ; y < 16 ; y++)
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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236 des_shift(cd[y + 1] , cd[y] , shtamt[y]);
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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237
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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238 /*
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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239 * Form the keys K1-K16 by applying the pc2 permutation
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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240 * table to each of the concatenated pairs CnDn.
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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241 */
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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242 for(y = 0; y < 16; y++){
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parents:
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243 for(z = 0 ; z < 48 ; z++){
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parents:
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244 deskey[y][z] = cd[y + 1][pc2[z] - 1];
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parents:
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245 }
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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246 }
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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247
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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248 /*
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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249 * Step 2: Encode each 64-bit block of data
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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250 *
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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251 * Perform initial permutation IP of th e64 bits the message data M.
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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252 * This rearranges the bits according to the iporder table.
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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253 */
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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254 for(y = 0; y < 64; y++)
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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255 ip[y] = binmsg[iporder[y] - 1];
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
256
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
257 /*
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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258 * Divide the permuted block IP into left half L0
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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259 * and a right half R0 each of 32 bits.
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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260 */
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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261 for(y = 0; y < 32; y++){
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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262 l[0][y] = ip[y];
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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263 r[0][y] = ip[y + 32];
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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264 }
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
265
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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266 /*
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
267 * Proceed through 16 iterations, operation on two blocks:
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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268 * a data block of 32 bits and a key Kn of 48 bits to produce a block of 32
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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269 * bits. This results in a final block L16R16. In each iteration, we take
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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270 * the right 32 bits of the previous result and make them the left 32 bits
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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271 * of the current step. For the right 32 bits in the current step, we XOR
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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272 * the left 32 bits of the previous step.
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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273 */
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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274 for (y = 0; y < 16; y++){
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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275 if (code == CL_DES_ENCRYPTION)/* encryption */
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Mychaela Falconia <falcon@freecalypso.org>
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276 g = y;
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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277 else /* decryption */
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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278 g = 15 - y;
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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279
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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280 /*
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
281 * Copie the right bits Rn of the current step
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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282 * to the left bits Ln+1 of the next step
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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283 */
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
284 for(z = 0; z < 32; z++)
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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285 l[y + 1][z] = r[y][z];
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
286
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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287 /*
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
288 * Expand the block Rn from 32 to 48 bits by using the selection table E.
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
289 * Then XOR the result with the key Kn+1.
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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290 */
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
291 for(z = 0; z < 48; z++){
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
292 rnew[z] = r[y][e[z] - 1];
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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293 xorres[z] = (rnew[z] ^ deskey[g][z]);
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parents:
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294 }
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
295
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
296 /*
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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297 * We now have 48 bits, or eight groups of six bits. We use them as
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Mychaela Falconia <falcon@freecalypso.org>
parents:
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298 * addresses in tables calle "S boxes". Each group of six bits will
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
299 * give us an address in a different S box.
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
300 */
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
301 for(z = 0; z < 8; z++){
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
302 temp = s[z][des_indx(&xorres[z * 6])];
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
303 des_hex2bin4(temp, &scale[z * 4]);
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
304 }
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
305
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
306 /*
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
307 * Perform a permutation P of the S box output.
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
308 */
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
309 for(z = 0; z < 32; z++)
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
310 perm[z] = scale[sp[z] - 1];
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
311
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
312 /*
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
313 * XOR the result with the left half of current step
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
314 * and copie it to the right half of the next step
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
315 */
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
316 for(z = 0; z < 32; z++)
3d148edb87c2 eliminated the dependency on OpenSSL for Pirelli IMEI DES decryption
Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
317 r[y+1][z] = (l[y][z] ^ perm[z]);
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
318 }
3d148edb87c2 eliminated the dependency on OpenSSL for Pirelli IMEI DES decryption
Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
319
3d148edb87c2 eliminated the dependency on OpenSSL for Pirelli IMEI DES decryption
Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
320 /*
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
321 * Reserve the order of the final block L16R16 to R16L16
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
322 */
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
323 for( z = 0; z < 32; z++){
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
324 rl[z] = r[16][z];
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
325 rl[z + 32] = l[16][z];
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
326 }
3d148edb87c2 eliminated the dependency on OpenSSL for Pirelli IMEI DES decryption
Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
327
3d148edb87c2 eliminated the dependency on OpenSSL for Pirelli IMEI DES decryption
Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
328 /*
3d148edb87c2 eliminated the dependency on OpenSSL for Pirelli IMEI DES decryption
Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
329 * Apply the final inverse permutation IP
3d148edb87c2 eliminated the dependency on OpenSSL for Pirelli IMEI DES decryption
Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
330 */
3d148edb87c2 eliminated the dependency on OpenSSL for Pirelli IMEI DES decryption
Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
331 for( z = 0; z < 64; z++){
3d148edb87c2 eliminated the dependency on OpenSSL for Pirelli IMEI DES decryption
Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
332 encpt[z] = rl[ipinv[z] - 1];
3d148edb87c2 eliminated the dependency on OpenSSL for Pirelli IMEI DES decryption
Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
333 }
3d148edb87c2 eliminated the dependency on OpenSSL for Pirelli IMEI DES decryption
Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
334
3d148edb87c2 eliminated the dependency on OpenSSL for Pirelli IMEI DES decryption
Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
335 /*
3d148edb87c2 eliminated the dependency on OpenSSL for Pirelli IMEI DES decryption
Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
336 * Convert from bin to hex format
3d148edb87c2 eliminated the dependency on OpenSSL for Pirelli IMEI DES decryption
Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
337 */
3d148edb87c2 eliminated the dependency on OpenSSL for Pirelli IMEI DES decryption
Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
338 for(z = 0; z < 8; z++){
3d148edb87c2 eliminated the dependency on OpenSSL for Pirelli IMEI DES decryption
Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
339 outMsgPtr[z] = des_bin2hex(&encpt[8 * z]);
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Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
340 }
3d148edb87c2 eliminated the dependency on OpenSSL for Pirelli IMEI DES decryption
Mychaela Falconia <falcon@freecalypso.org>
parents:
diff changeset
341 }