1 | // Named EC curves
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2 |
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3 | // Requires ec.js, jsbn.js, and jsbn2.js
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4 | var BigInteger = require('jsbn').BigInteger
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5 | var ECCurveFp = require('./ec.js').ECCurveFp
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6 |
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7 |
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8 | // ----------------
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9 | // X9ECParameters
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10 |
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11 | // constructor
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12 | function X9ECParameters(curve,g,n,h) {
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13 | this.curve = curve;
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14 | this.g = g;
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15 | this.n = n;
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16 | this.h = h;
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17 | }
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18 |
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19 | function x9getCurve() {
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20 | return this.curve;
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21 | }
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22 |
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23 | function x9getG() {
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24 | return this.g;
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25 | }
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26 |
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27 | function x9getN() {
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28 | return this.n;
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29 | }
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30 |
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31 | function x9getH() {
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32 | return this.h;
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33 | }
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34 |
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35 | X9ECParameters.prototype.getCurve = x9getCurve;
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36 | X9ECParameters.prototype.getG = x9getG;
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37 | X9ECParameters.prototype.getN = x9getN;
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38 | X9ECParameters.prototype.getH = x9getH;
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39 |
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40 | // ----------------
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41 | // SECNamedCurves
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42 |
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43 | function fromHex(s) { return new BigInteger(s, 16); }
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44 |
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45 | function secp128r1() {
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46 | // p = 2^128 - 2^97 - 1
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47 | var p = fromHex("FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF");
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48 | var a = fromHex("FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC");
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49 | var b = fromHex("E87579C11079F43DD824993C2CEE5ED3");
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50 | //byte[] S = Hex.decode("000E0D4D696E6768756151750CC03A4473D03679");
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51 | var n = fromHex("FFFFFFFE0000000075A30D1B9038A115");
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52 | var h = BigInteger.ONE;
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53 | var curve = new ECCurveFp(p, a, b);
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54 | var G = curve.decodePointHex("04"
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55 | + "161FF7528B899B2D0C28607CA52C5B86"
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56 | + "CF5AC8395BAFEB13C02DA292DDED7A83");
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57 | return new X9ECParameters(curve, G, n, h);
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58 | }
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59 |
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60 | function secp160k1() {
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61 | // p = 2^160 - 2^32 - 2^14 - 2^12 - 2^9 - 2^8 - 2^7 - 2^3 - 2^2 - 1
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62 | var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73");
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63 | var a = BigInteger.ZERO;
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64 | var b = fromHex("7");
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65 | //byte[] S = null;
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66 | var n = fromHex("0100000000000000000001B8FA16DFAB9ACA16B6B3");
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67 | var h = BigInteger.ONE;
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68 | var curve = new ECCurveFp(p, a, b);
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69 | var G = curve.decodePointHex("04"
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70 | + "3B4C382CE37AA192A4019E763036F4F5DD4D7EBB"
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71 | + "938CF935318FDCED6BC28286531733C3F03C4FEE");
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72 | return new X9ECParameters(curve, G, n, h);
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73 | }
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74 |
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75 | function secp160r1() {
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76 | // p = 2^160 - 2^31 - 1
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77 | var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF");
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78 | var a = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC");
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79 | var b = fromHex("1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45");
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80 | //byte[] S = Hex.decode("1053CDE42C14D696E67687561517533BF3F83345");
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81 | var n = fromHex("0100000000000000000001F4C8F927AED3CA752257");
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82 | var h = BigInteger.ONE;
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83 | var curve = new ECCurveFp(p, a, b);
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84 | var G = curve.decodePointHex("04"
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85 | + "4A96B5688EF573284664698968C38BB913CBFC82"
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86 | + "23A628553168947D59DCC912042351377AC5FB32");
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87 | return new X9ECParameters(curve, G, n, h);
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88 | }
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89 |
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90 | function secp192k1() {
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91 | // p = 2^192 - 2^32 - 2^12 - 2^8 - 2^7 - 2^6 - 2^3 - 1
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92 | var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37");
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93 | var a = BigInteger.ZERO;
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94 | var b = fromHex("3");
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95 | //byte[] S = null;
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96 | var n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D");
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97 | var h = BigInteger.ONE;
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98 | var curve = new ECCurveFp(p, a, b);
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99 | var G = curve.decodePointHex("04"
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100 | + "DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D"
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101 | + "9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D");
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102 | return new X9ECParameters(curve, G, n, h);
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103 | }
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104 |
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105 | function secp192r1() {
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106 | // p = 2^192 - 2^64 - 1
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107 | var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF");
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108 | var a = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC");
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109 | var b = fromHex("64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1");
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110 | //byte[] S = Hex.decode("3045AE6FC8422F64ED579528D38120EAE12196D5");
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111 | var n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831");
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112 | var h = BigInteger.ONE;
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113 | var curve = new ECCurveFp(p, a, b);
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114 | var G = curve.decodePointHex("04"
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115 | + "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012"
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116 | + "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811");
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117 | return new X9ECParameters(curve, G, n, h);
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118 | }
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119 |
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120 | function secp224r1() {
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121 | // p = 2^224 - 2^96 + 1
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122 | var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001");
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123 | var a = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE");
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124 | var b = fromHex("B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4");
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125 | //byte[] S = Hex.decode("BD71344799D5C7FCDC45B59FA3B9AB8F6A948BC5");
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126 | var n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D");
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127 | var h = BigInteger.ONE;
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128 | var curve = new ECCurveFp(p, a, b);
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129 | var G = curve.decodePointHex("04"
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130 | + "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21"
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131 | + "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34");
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132 | return new X9ECParameters(curve, G, n, h);
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133 | }
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134 |
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135 | function secp256r1() {
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136 | // p = 2^224 (2^32 - 1) + 2^192 + 2^96 - 1
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137 | var p = fromHex("FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF");
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138 | var a = fromHex("FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC");
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139 | var b = fromHex("5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B");
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140 | //byte[] S = Hex.decode("C49D360886E704936A6678E1139D26B7819F7E90");
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141 | var n = fromHex("FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551");
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142 | var h = BigInteger.ONE;
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143 | var curve = new ECCurveFp(p, a, b);
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144 | var G = curve.decodePointHex("04"
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145 | + "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296"
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146 | + "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5");
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147 | return new X9ECParameters(curve, G, n, h);
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148 | }
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149 |
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150 | // TODO: make this into a proper hashtable
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151 | function getSECCurveByName(name) {
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152 | if(name == "secp128r1") return secp128r1();
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153 | if(name == "secp160k1") return secp160k1();
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154 | if(name == "secp160r1") return secp160r1();
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155 | if(name == "secp192k1") return secp192k1();
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156 | if(name == "secp192r1") return secp192r1();
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157 | if(name == "secp224r1") return secp224r1();
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158 | if(name == "secp256r1") return secp256r1();
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159 | return null;
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160 | }
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161 |
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162 | module.exports = {
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163 | "secp128r1":secp128r1,
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164 | "secp160k1":secp160k1,
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165 | "secp160r1":secp160r1,
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166 | "secp192k1":secp192k1,
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167 | "secp192r1":secp192r1,
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168 | "secp224r1":secp224r1,
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169 | "secp256r1":secp256r1
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170 | }
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