/* * Licensed to the Apache Software Foundation (ASF) under one or more * contributor license agreements. See the NOTICE file distributed with * this work for additional information regarding copyright ownership. * The ASF licenses this file to You under the Apache License, Version 2.0 * (the "License"); you may not use this file except in compliance with * the License. You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ package java.security.spec; import java.math.BigInteger; import java.util.Arrays; import org.apache.harmony.security.internal.nls.Messages; /** * The parameters specifying a characteristic 2 finite field of an * elliptic curve. */ public class ECFieldF2m implements ECField { // Mid terms array length for trinomial basis private static final int TPB_MID_LEN = 1; // Mid terms array length for pentanomial basis private static final int PPB_MID_LEN = 3; // All terms number for trinomial basis private static final int TPB_LEN = TPB_MID_LEN + 2; // All terms number for pentanomial basis private static final int PPB_LEN = PPB_MID_LEN + 2; // m value private final int m; // Reduction polynomial private final BigInteger rp; // Mid term(s) of reduction polynomial private final int[] ks; /** * Creates a new {@code ECFieldF2m} with {@code 2^m} elements with a normal * basis. * * @param m * the exponent {@code m} for the number of elements. * @throws IllegalArgumentException * if {@code m <= zero}. */ public ECFieldF2m(int m) { this.m = m; if (this.m <= 0) { throw new IllegalArgumentException(Messages.getString("security.75")); //$NON-NLS-1$ } this.rp = null; this.ks = null; } /** * Creates a new {@code ECFieldF2m} with {@code 2^m} elements with a polynomial * basis and the reduction polynomial based on {@code rp}. *

* The reduction polynomial must be either trinomial or * pentanomial. * * @param m * the exponent {@code m} for the number of elements. * @param rp * the base of the reduction polynomial with the n-th bit * corresponding to the n-th coefficient of the reduction * polynomial. * @throws IllegalArgumentException * if {@code m <= zero} or the {@code rp} is invalid. */ public ECFieldF2m(int m, BigInteger rp) { this.m = m; if (this.m <= 0) { throw new IllegalArgumentException(Messages.getString("security.75")); //$NON-NLS-1$ } this.rp = rp; if (this.rp == null) { throw new NullPointerException(Messages.getString("security.76")); //$NON-NLS-1$ } // the leftmost bit must be (m+1)-th one, // set bits count must be 3 or 5, // bits 0 and m must be set int rp_bc = this.rp.bitCount(); if ((this.rp.bitLength() != (m+1)) || (rp_bc != TPB_LEN && rp_bc != PPB_LEN) || (!this.rp.testBit(0) || !this.rp.testBit(m)) ) { throw new IllegalArgumentException(Messages.getString("security.77")); //$NON-NLS-1$ } // setup ks using rp: // allocate for mid terms only ks = new int[rp_bc-2]; // find midterm orders and set ks accordingly BigInteger rpTmp = rp.clearBit(0); for (int i=ks.length-1; i>=0; i-- ) { ks[i] = rpTmp.getLowestSetBit(); rpTmp = rpTmp.clearBit(ks[i]); } } /** * Creates a new {@code ECFieldF2m} with {@code 2^m} elements with * a polynomial basis and the reduction polynomial based on {@code ks}. *

* The reduction polynomial must be either trinomial or * pentanomial. * * @param m * the exponent {@code m} for the number of elements. * @param ks * the base of the reduction polynomial with coefficients * given in descending order. * @throws IllegalArgumentException * if {@code m <= zero} or the reduction polynomial is not * valid. */ public ECFieldF2m(int m, int[] ks) { this.m = m; if (this.m <= 0) { throw new IllegalArgumentException(Messages.getString("security.75")); //$NON-NLS-1$ } // Defensively copies array parameter // to prevent subsequent modification. // NPE as specified if ks is null this.ks = new int[ks.length]; System.arraycopy(ks, 0, this.ks, 0, this.ks.length); // no need to check for null already if (this.ks.length != TPB_MID_LEN && this.ks.length != PPB_MID_LEN) { // must be either trinomial or pentanomial basis throw new IllegalArgumentException(Messages.getString("security.78")); //$NON-NLS-1$ } // trinomial basis: // check that m > k >= 1, where k is ks[0] // pentanomial basis: // check that m > k3 > k2 > k1 >= 1 // and kx in descending order, where // k3 is ks[0], k2 is ks[1], k1 is ks[2] boolean checkFailed = false; int prev = this.m; for (int i=0; i