1 | /* R_DH.C - Diffie-Hellman routines for RSAREF |
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2 | */ |
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3 | |
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4 | /* Copyright (C) RSA Laboratories, a division of RSA Data Security, |
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5 | Inc., created 1993. All rights reserved. |
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6 | */ |
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7 | |
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8 | #include "global.h" |
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9 | #include "rsaref.h" |
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10 | #include "r_random.h" |
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11 | #include "nn.h" |
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12 | #include "prime.h" |
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13 | |
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14 | /* Generates Diffie-Hellman parameters. |
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15 | */ |
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16 | int R_GenerateDHParams (params, primeBits, subPrimeBits, randomStruct) |
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17 | R_DH_PARAMS *params; /* new Diffie-Hellman parameters */ |
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18 | unsigned int primeBits; /* length of prime in bits */ |
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19 | unsigned int subPrimeBits; /* length of subprime in bits */ |
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20 | R_RANDOM_STRUCT *randomStruct; /* random structure */ |
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21 | { |
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22 | int status; |
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23 | NN_DIGIT g[MAX_NN_DIGITS], p[MAX_NN_DIGITS], q[MAX_NN_DIGITS], |
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24 | t[MAX_NN_DIGITS], u[MAX_NN_DIGITS], v[MAX_NN_DIGITS]; |
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25 | unsigned int pDigits; |
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26 | |
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27 | pDigits = (primeBits + NN_DIGIT_BITS - 1) / NN_DIGIT_BITS; |
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28 | |
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29 | /* Generate subprime q between 2^(subPrimeBits-1) and |
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30 | 2^subPrimeBits-1, searching in steps of 2. |
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31 | */ |
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32 | NN_Assign2Exp (t, subPrimeBits-1, pDigits); |
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33 | NN_Assign (u, t, pDigits); |
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34 | NN_ASSIGN_DIGIT (v, 1, pDigits); |
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35 | NN_Sub (v, t, v, pDigits); |
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36 | NN_Add (u, u, v, pDigits); |
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37 | NN_ASSIGN_DIGIT (v, 2, pDigits); |
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38 | if (status = GeneratePrime (q, t, u, v, pDigits, randomStruct)) |
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39 | return (status); |
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40 | |
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41 | /* Generate prime p between 2^(primeBits-1) and 2^primeBits-1, |
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42 | searching in steps of 2*q. |
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43 | */ |
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44 | NN_Assign2Exp (t, primeBits-1, pDigits); |
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45 | NN_Assign (u, t, pDigits); |
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46 | NN_ASSIGN_DIGIT (v, 1, pDigits); |
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47 | NN_Sub (v, t, v, pDigits); |
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48 | NN_Add (u, u, v, pDigits); |
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49 | NN_LShift (v, q, 1, pDigits); |
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50 | if (status = GeneratePrime (p, t, u, v, pDigits, randomStruct)) |
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51 | return (status); |
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52 | |
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53 | /* Generate generator g for subgroup as 2^((p-1)/q) mod p. |
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54 | */ |
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55 | NN_ASSIGN_DIGIT (g, 2, pDigits); |
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56 | NN_Div (t, u, p, pDigits, q, pDigits); |
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57 | NN_ModExp (g, g, t, pDigits, p, pDigits); |
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58 | |
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59 | params->generatorLen = params->primeLen = DH_PRIME_LEN (primeBits); |
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60 | NN_Encode (params->prime, params->primeLen, p, pDigits); |
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61 | NN_Encode (params->generator, params->generatorLen, g, pDigits); |
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62 | |
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63 | return (0); |
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64 | } |
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65 | |
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66 | /* Sets up Diffie-Hellman key agreement. Public value has same length |
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67 | as prime. |
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68 | */ |
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69 | int R_SetupDHAgreement |
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70 | (publicValue, privateValue, privateValueLen, params, randomStruct) |
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71 | unsigned char *publicValue; /* new public value */ |
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72 | unsigned char *privateValue; /* new private value */ |
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73 | unsigned int privateValueLen; /* length of private value */ |
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74 | R_DH_PARAMS *params; /* Diffie-Hellman parameters */ |
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75 | R_RANDOM_STRUCT *randomStruct; /* random structure */ |
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76 | { |
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77 | int status; |
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78 | NN_DIGIT g[MAX_NN_DIGITS], p[MAX_NN_DIGITS], x[MAX_NN_DIGITS], |
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79 | y[MAX_NN_DIGITS]; |
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80 | unsigned int pDigits, xDigits; |
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81 | |
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82 | NN_Decode (p, MAX_NN_DIGITS, params->prime, params->primeLen); |
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83 | pDigits = NN_Digits (p, MAX_NN_DIGITS); |
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84 | NN_Decode (g, pDigits, params->generator, params->generatorLen); |
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85 | |
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86 | /* Generate private value. |
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87 | */ |
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88 | if (status = R_GenerateBytes (privateValue, privateValueLen, randomStruct)) |
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89 | return (status); |
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90 | NN_Decode (x, pDigits, privateValue, privateValueLen); |
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91 | xDigits = NN_Digits (x, pDigits); |
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92 | |
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93 | /* Compute y = g^x mod p. |
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94 | */ |
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95 | NN_ModExp (y, g, x, xDigits, p, pDigits); |
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96 | |
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97 | NN_Encode (publicValue, params->primeLen, y, pDigits); |
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98 | |
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99 | /* Zeroize sensitive information. |
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100 | */ |
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101 | R_memset ((POINTER)x, 0, sizeof (x)); |
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102 | |
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103 | return (0); |
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104 | } |
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105 | |
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106 | /* Computes agreed key from the other party's public value, a private |
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107 | value, and Diffie-Hellman parameters. Other public value and |
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108 | agreed-upon key have same length as prime. |
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109 | |
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110 | Requires otherPublicValue < prime. |
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111 | */ |
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112 | int R_ComputeDHAgreedKey |
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113 | (agreedKey, otherPublicValue, privateValue, privateValueLen, params) |
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114 | unsigned char *agreedKey; /* new agreed key */ |
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115 | unsigned char *otherPublicValue; /* other's public value */ |
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116 | unsigned char *privateValue; /* private value */ |
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117 | unsigned int privateValueLen; /* length of private value */ |
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118 | R_DH_PARAMS *params; /* Diffie-Hellman parameters */ |
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119 | { |
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120 | NN_DIGIT p[MAX_NN_DIGITS], x[MAX_NN_DIGITS], y[MAX_NN_DIGITS], |
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121 | z[MAX_NN_DIGITS]; |
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122 | unsigned int pDigits, xDigits; |
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123 | |
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124 | NN_Decode (p, MAX_NN_DIGITS, params->prime, params->primeLen); |
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125 | pDigits = NN_Digits (p, MAX_NN_DIGITS); |
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126 | NN_Decode (x, pDigits, privateValue, privateValueLen); |
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127 | xDigits = NN_Digits (x, pDigits); |
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128 | NN_Decode (y, pDigits, otherPublicValue, params->primeLen); |
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129 | |
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130 | if (NN_Cmp (y, p, pDigits) >= 0) |
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131 | return (RE_DATA); |
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132 | |
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133 | /* Compute z = y^x mod p. |
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134 | */ |
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135 | NN_ModExp (z, y, x, xDigits, p, pDigits); |
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136 | |
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137 | NN_Encode (agreedKey, params->primeLen, z, pDigits); |
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138 | |
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139 | /* Zeroize sensitive information. |
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140 | */ |
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141 | R_memset ((POINTER)x, 0, sizeof (x)); |
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142 | R_memset ((POINTER)z, 0, sizeof (z)); |
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143 | |
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144 | return (0); |
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145 | } |
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