1 /* 2 * Copyright (C) 2015 The Android Open Source Project 3 * 4 * Licensed under the Apache License, Version 2.0 (the "License"); 5 * you may not use this file except in compliance with the License. 6 * You may obtain a copy of the License at 7 * 8 * http://www.apache.org/licenses/LICENSE-2.0 9 * 10 * Unless required by applicable law or agreed to in writing, software 11 * distributed under the License is distributed on an "AS IS" BASIS, 12 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 13 * See the License for the specific language governing permissions and 14 * limitations under the License. 15 */ 16 17 package android.keystore.cts; 18 19 import java.math.BigInteger; 20 import java.security.spec.ECField; 21 import java.security.spec.ECFieldFp; 22 import java.security.spec.ECParameterSpec; 23 import java.security.spec.ECPoint; 24 import java.security.spec.EllipticCurve; 25 26 abstract class ECCurves { ECCurves()27 private ECCurves() {} 28 29 // NIST EC curve parameters copied from "Standards for Efficient Cryptography 2 (SEC 2)". 30 31 static ECParameterSpec NIST_P_192_SPEC = createNistPCurveSpec( 32 new BigInteger("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", 16), 33 new BigInteger("FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831", 16), 34 new BigInteger("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", 16), 35 new BigInteger("64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1", 16), 36 new BigInteger("188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012", 16), 37 new BigInteger("07192B95FFC8DA78631011ED6B24CDD573F977A11E794811", 16), 38 1, 39 HexEncoding.decode("3045AE6FC8422F64ED579528D38120EAE12196D5")); 40 41 static ECParameterSpec NIST_P_224_SPEC = createNistPCurveSpec( 42 new BigInteger("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", 16), 43 new BigInteger("FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", 16), 44 new BigInteger("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", 16), 45 new BigInteger("B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", 16), 46 new BigInteger("B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", 16), 47 new BigInteger("BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", 16), 48 1, 49 HexEncoding.decode("BD71344799D5C7FCDC45B59FA3B9AB8F6A948BC5")); 50 51 static ECParameterSpec NIST_P_256_SPEC = createNistPCurveSpec( 52 new BigInteger("FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFF" 53 + "FFFFFFFF", 16), 54 new BigInteger("FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2" 55 + "FC632551", 16), 56 new BigInteger("FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFF" 57 + "FFFFFFFC", 16), 58 new BigInteger("5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E" 59 + "27D2604B", 16), 60 new BigInteger("6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945" 61 + "D898C296", 16), 62 new BigInteger("4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB64068" 63 + "37BF51F5", 16), 64 1, 65 HexEncoding.decode("C49D360886E704936A6678E1139D26B7819F7E90")); 66 67 static ECParameterSpec NIST_P_384_SPEC = createNistPCurveSpec( 68 new BigInteger("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 69 + "FFFFFFFEFFFFFFFF0000000000000000FFFFFFFF", 16), 70 new BigInteger("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81" 71 + "F4372DDF581A0DB248B0A77AECEC196ACCC52973", 16), 72 new BigInteger("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 73 + "FFFFFFFEFFFFFFFF0000000000000000FFFFFFFC", 16), 74 new BigInteger("B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F" 75 + "5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF", 16), 76 new BigInteger("AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E0" 77 + "82542A385502F25DBF55296C3A545E3872760AB7", 16), 78 new BigInteger("3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113" 79 + "B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F", 16), 80 1, 81 HexEncoding.decode("A335926AA319A27A1D00896A6773A4827ACDAC73")); 82 83 static ECParameterSpec NIST_P_521_SPEC = createNistPCurveSpec( 84 new BigInteger("01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 85 + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 86 + "FFFFFFFFFFFFFFFFFFFFFFFF", 16), 87 new BigInteger("01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 88 + "FFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8" 89 + "899C47AEBB6FB71E91386409", 16), 90 new BigInteger("01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 91 + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 92 + "FFFFFFFFFFFFFFFFFFFFFFFC", 16), 93 new BigInteger("0051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3" 94 + "B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF88" 95 + "3D2C34F1EF451FD46B503F00", 16), 96 new BigInteger("00C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521" 97 + "F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1" 98 + "856A429BF97E7E31C2E5BD66", 16), 99 new BigInteger("011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B4468" 100 + "17AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086" 101 + "A272C24088BE94769FD16650", 16), 102 1, 103 HexEncoding.decode("D09E8800291CB85396CC6717393284AAA0DA64BA")); 104 createNistPCurveSpec( BigInteger p, BigInteger order, BigInteger a, BigInteger b, BigInteger gx, BigInteger gy, int cofactor, byte[] seed)105 private static ECParameterSpec createNistPCurveSpec( 106 BigInteger p, 107 BigInteger order, 108 BigInteger a, 109 BigInteger b, 110 BigInteger gx, 111 BigInteger gy, 112 int cofactor, 113 byte[] seed) { 114 ECField field = new ECFieldFp(p); 115 EllipticCurve curve = new EllipticCurve(field, a, b, seed); 116 ECPoint generator = new ECPoint(gx, gy); 117 return new ECParameterSpec( 118 curve, 119 generator, 120 order, 121 cofactor); 122 } 123 } 124