package gnu.crypto.key.srp6; // ---------------------------------------------------------------------------- // $Id: SRPAlgorithm.java,v 1.3 2005/10/06 04:24:16 rsdio Exp $ // // Copyright (C) 2003 Free Software Foundation, Inc. // // This file is part of GNU Crypto. // // GNU Crypto is free software; you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation; either version 2, or (at your option) // any later version. // // GNU Crypto is distributed in the hope that it will be useful, but // WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU // General Public License for more details. // // You should have received a copy of the GNU General Public License // along with this program; see the file COPYING. If not, write to the // // Free Software Foundation Inc., // 51 Franklin Street, Fifth Floor, // Boston, MA 02110-1301 // USA // // Linking this library statically or dynamically with other modules is // making a combined work based on this library. Thus, the terms and // conditions of the GNU General Public License cover the whole // combination. // // As a special exception, the copyright holders of this library give // you permission to link this library with independent modules to // produce an executable, regardless of the license terms of these // independent modules, and to copy and distribute the resulting // executable under terms of your choice, provided that you also meet, // for each linked independent module, the terms and conditions of the // license of that module. An independent module is a module which is // not derived from or based on this library. If you modify this // library, you may extend this exception to your version of the // library, but you are not obligated to do so. If you do not wish to // do so, delete this exception statement from your version. // ---------------------------------------------------------------------------- import gnu.crypto.sasl.srp.SRPRegistry; import gnu.crypto.util.Prime; import java.math.BigInteger; /** * <p>Utilities for use with SRP-6 based methods and protocols.</p> * * <p>Reference:</p> * <ol> * <li><a href="http://srp.stanford.edu/design.html">SRP Protocol Design</a><br> * Thomas J. Wu.</li> * </ol> * * @version $Revision: 1.3 $ */ public class SRPAlgorithm { // Constants and variables // ------------------------------------------------------------------------- // lifted from draft-burdis-cat-srp-sasl-09 public static final BigInteger N_2048 = new BigInteger( "AC6BDB41324A9A9BF166DE5E1389582FAF72B6651987EE07FC3192943DB56050"+ "A37329CBB4A099ED8193E0757767A13DD52312AB4B03310DCD7F48A9DA04FD50"+ "E8083969EDB767B0CF6095179A163AB3661A05FBD5FAAAE82918A9962F0B93B8"+ "55F97993EC975EEAA80D740ADBF4FF747359D041D5C33EA71D281E446B14773B"+ "CA97B43A23FB801676BD207A436C6481F1D2B9078717461A5B9D32E688F87748"+ "544523B524B0D57D5EA77A2775D2ECFA032CFBDBF52FB3786160279004E57AE6"+ "AF874E7303CE53299CCC041C7BC308D82A5698F3A8D0C38271AE35F8E9DBFBB6"+ "94B5C803D89F7AE435DE236D525F54759B65E372FCD68EF20FA7111F9E4AFF73", 16); public static final BigInteger N_1536 = new BigInteger( "9DEF3CAFB939277AB1F12A8617A47BBBDBA51DF499AC4C80BEEEA9614B19CC4D"+ "5F4F5F556E27CBDE51C6A94BE4607A291558903BA0D0F84380B655BB9A22E8DC"+ "DF028A7CEC67F0D08134B1C8B97989149B609E0BE3BAB63D47548381DBC5B1FC"+ "764E3F4B53DD9DA1158BFD3E2B9C8CF56EDF019539349627DB2FD53D24B7C486"+ "65772E437D6C7F8CE442734AF7CCB7AE837C264AE3A9BEB87F8A2FE9B8B5292E"+ "5A021FFF5E91479E8CE7A28C2442C6F315180F93499A234DCF76E3FED135F9BB", 16); public static final BigInteger N_1280 = new BigInteger( "D77946826E811914B39401D56A0A7843A8E7575D738C672A090AB1187D690DC4"+ "3872FC06A7B6A43F3B95BEAEC7DF04B9D242EBDC481111283216CE816E004B78"+ "6C5FCE856780D41837D95AD787A50BBE90BD3A9C98AC0F5FC0DE744B1CDE1891"+ "690894BC1F65E00DE15B4B2AA6D87100C9ECC2527E45EB849DEB14BB2049B163"+ "EA04187FD27C1BD9C7958CD40CE7067A9C024F9B7C5A0B4F5003686161F0605B", 16); public static final BigInteger N_1024 = new BigInteger( "EEAF0AB9ADB38DD69C33F80AFA8FC5E86072618775FF3C0B9EA2314C9C256576"+ "D674DF7496EA81D3383B4813D692C6E0E0D5D8E250B98BE48E495C1D6089DAD1"+ "5DC7D7B46154D6B6CE8EF4AD69B15D4982559B297BCF1885C529F566660E57EC"+ "68EDBC3C05726CC02FD4CBF4976EAA9AFD5138FE8376435B9FC61D2FC0EB06E3", 16); public static final BigInteger N_768 = new BigInteger( "B344C7C4F8C495031BB4E04FF8F84EE95008163940B9558276744D91F7CC9F40"+ "2653BE7147F00F576B93754BCDDF71B636F2099E6FFF90E79575F3D0DE694AFF"+ "737D9BE9713CEF8D837ADA6380B1093E94B6A529A8C6C2BE33E0867C60C3262B", 16); public static final BigInteger N_640 = new BigInteger( "C94D67EB5B1A2346E8AB422FC6A0EDAEDA8C7F894C9EEEC42F9ED250FD7F0046"+ "E5AF2CF73D6B2FA26BB08033DA4DE322E144E7A8E9B12A0E4637F6371F34A207"+ "1C4B3836CBEEAB15034460FAA7ADF483", 16); public static final BigInteger N_512 = new BigInteger( "D4C7F8A2B32C11B8FBA9581EC4BA4F1B04215642EF7355E37C0FC0443EF756EA"+ "2C6B8EEB755A1C723027663CAA265EF785B8FF6A9B35227A52D86633DBDFCA43", 16); public static final BigInteger N_384 = new BigInteger( "8025363296FB943FCE54BE717E0E2958A02A9672EF561953B2BAA3BAACC3ED57"+ "54EB764C7AB7184578C57D5949CCB41B", 16); public static final BigInteger N_264 = new BigInteger( "115B8B692E0E045692CF280B436735C77A5A9E8A9E7ED56C965F87DB5B2A2ECE3", 16); private static final BigInteger ZERO = BigInteger.ZERO; private static final BigInteger ONE = BigInteger.ONE; private static final BigInteger TWO = BigInteger.valueOf(2L); // Constructor(s) // ------------------------------------------------------------------------- /** Trivial constructor to enforce usage through class methods. */ private SRPAlgorithm() { super(); } // Class methods // ------------------------------------------------------------------------- public static void checkParams(final BigInteger N, final BigInteger g) { // 1. N should be at least 512-bit long final int blen = N.bitLength(); if (blen < SRPRegistry.MINIMUM_MODULUS_BITLENGTH) { throw new IllegalArgumentException("Bit length of N (" +blen+") is too low. Should be at least " +SRPRegistry.MINIMUM_MODULUS_BITLENGTH); } // 2. N should be a prime if (!Prime.passEulerCriterion(N)) { throw new IllegalArgumentException("N should be prime but isn't"); } // 3. N should be of the form 2*q + 1, where q is prime final BigInteger q = N.subtract(ONE).divide(TWO); if (!Prime.passEulerCriterion(q)) { throw new IllegalArgumentException("(N-1)/2 should be prime but isn't"); } // 4. g**q should be -1 mod N final BigInteger gq = g.modPow(q, N).add(ONE).mod(N); if (gq.compareTo(ZERO) != 0) { throw new IllegalArgumentException("g**q should be -1 (mod N) but isn't"); } } // Instance methods // ------------------------------------------------------------------------- }