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      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 {
     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 
    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