package org.bouncycastle.pqc.crypto.gmss; import java.security.SecureRandom; import java.util.Vector; import org.bouncycastle.crypto.AsymmetricCipherKeyPair; import org.bouncycastle.crypto.AsymmetricCipherKeyPairGenerator; import org.bouncycastle.crypto.Digest; import org.bouncycastle.crypto.KeyGenerationParameters; import org.bouncycastle.pqc.crypto.gmss.util.GMSSRandom; import org.bouncycastle.pqc.crypto.gmss.util.WinternitzOTSVerify; import org.bouncycastle.pqc.crypto.gmss.util.WinternitzOTSignature; /** * This class implements key pair generation of the generalized Merkle signature * scheme (GMSS). * * @see GMSSSigner */ public class GMSSKeyPairGenerator implements AsymmetricCipherKeyPairGenerator { /** * The source of randomness for OTS private key generation */ private GMSSRandom gmssRandom; /** * The hash function used for the construction of the authentication trees */ private Digest messDigestTree; /** * An array of the seeds for the PRGN (for main tree, and all current * subtrees) */ private byte[][] currentSeeds; /** * An array of seeds for the PRGN (for all subtrees after next) */ private byte[][] nextNextSeeds; /** * An array of the RootSignatures */ private byte[][] currentRootSigs; /** * Class of hash function to use */ private GMSSDigestProvider digestProvider; /** * The length of the seed for the PRNG */ private int mdLength; /** * the number of Layers */ private int numLayer; /** * Flag indicating if the class already has been initialized */ private boolean initialized = false; /** * Instance of GMSSParameterset */ private GMSSParameters gmssPS; /** * An array of the heights of the authentication trees of each layer */ private int[] heightOfTrees; /** * An array of the Winternitz parameter 'w' of each layer */ private int[] otsIndex; /** * The parameter K needed for the authentication path computation */ private int[] K; private GMSSKeyGenerationParameters gmssParams; /** * The GMSS OID. */ public static final String OID = "1.3.6.1.4.1.8301.3.1.3.3"; /** * The standard constructor tries to generate the GMSS algorithm identifier * with the corresponding OID. * <p/> * * @param digestProvider provider for digest implementations. */ public GMSSKeyPairGenerator(GMSSDigestProvider digestProvider) { this.digestProvider = digestProvider; messDigestTree = digestProvider.get(); // set mdLength this.mdLength = messDigestTree.getDigestSize(); // construct randomizer this.gmssRandom = new GMSSRandom(messDigestTree); } /** * Generates the GMSS key pair. The public key is an instance of * JDKGMSSPublicKey, the private key is an instance of JDKGMSSPrivateKey. * * @return Key pair containing a JDKGMSSPublicKey and a JDKGMSSPrivateKey */ private AsymmetricCipherKeyPair genKeyPair() { if (!initialized) { initializeDefault(); } // initialize authenticationPaths and treehash instances byte[][][] currentAuthPaths = new byte[numLayer][][]; byte[][][] nextAuthPaths = new byte[numLayer - 1][][]; Treehash[][] currentTreehash = new Treehash[numLayer][]; Treehash[][] nextTreehash = new Treehash[numLayer - 1][]; Vector[] currentStack = new Vector[numLayer]; Vector[] nextStack = new Vector[numLayer - 1]; Vector[][] currentRetain = new Vector[numLayer][]; Vector[][] nextRetain = new Vector[numLayer - 1][]; for (int i = 0; i < numLayer; i++) { currentAuthPaths[i] = new byte[heightOfTrees[i]][mdLength]; currentTreehash[i] = new Treehash[heightOfTrees[i] - K[i]]; if (i > 0) { nextAuthPaths[i - 1] = new byte[heightOfTrees[i]][mdLength]; nextTreehash[i - 1] = new Treehash[heightOfTrees[i] - K[i]]; } currentStack[i] = new Vector(); if (i > 0) { nextStack[i - 1] = new Vector(); } } // initialize roots byte[][] currentRoots = new byte[numLayer][mdLength]; byte[][] nextRoots = new byte[numLayer - 1][mdLength]; // initialize seeds byte[][] seeds = new byte[numLayer][mdLength]; // initialize seeds[] by copying starting-seeds of first trees of each // layer for (int i = 0; i < numLayer; i++) { System.arraycopy(currentSeeds[i], 0, seeds[i], 0, mdLength); } // initialize rootSigs currentRootSigs = new byte[numLayer - 1][mdLength]; // ------------------------- // ------------------------- // --- calculation of current authpaths and current rootsigs (AUTHPATHS, // SIG)------ // from bottom up to the root for (int h = numLayer - 1; h >= 0; h--) { GMSSRootCalc tree = new GMSSRootCalc(this.heightOfTrees[h], this.K[h], digestProvider); try { // on lowest layer no lower root is available, so just call // the method with null as first parameter if (h == numLayer - 1) { tree = this.generateCurrentAuthpathAndRoot(null, currentStack[h], seeds[h], h); } else // otherwise call the method with the former computed root // value { tree = this.generateCurrentAuthpathAndRoot(currentRoots[h + 1], currentStack[h], seeds[h], h); } } catch (Exception e1) { e1.printStackTrace(); } // set initial values needed for the private key construction for (int i = 0; i < heightOfTrees[h]; i++) { System.arraycopy(tree.getAuthPath()[i], 0, currentAuthPaths[h][i], 0, mdLength); } currentRetain[h] = tree.getRetain(); currentTreehash[h] = tree.getTreehash(); System.arraycopy(tree.getRoot(), 0, currentRoots[h], 0, mdLength); } // --- calculation of next authpaths and next roots (AUTHPATHS+, ROOTS+) // ------ for (int h = numLayer - 2; h >= 0; h--) { GMSSRootCalc tree = this.generateNextAuthpathAndRoot(nextStack[h], seeds[h + 1], h + 1); // set initial values needed for the private key construction for (int i = 0; i < heightOfTrees[h + 1]; i++) { System.arraycopy(tree.getAuthPath()[i], 0, nextAuthPaths[h][i], 0, mdLength); } nextRetain[h] = tree.getRetain(); nextTreehash[h] = tree.getTreehash(); System.arraycopy(tree.getRoot(), 0, nextRoots[h], 0, mdLength); // create seed for the Merkle tree after next (nextNextSeeds) // SEEDs++ System.arraycopy(seeds[h + 1], 0, this.nextNextSeeds[h], 0, mdLength); } // ------------ // generate JDKGMSSPublicKey GMSSPublicKeyParameters publicKey = new GMSSPublicKeyParameters(currentRoots[0], gmssPS); // generate the JDKGMSSPrivateKey GMSSPrivateKeyParameters privateKey = new GMSSPrivateKeyParameters(currentSeeds, nextNextSeeds, currentAuthPaths, nextAuthPaths, currentTreehash, nextTreehash, currentStack, nextStack, currentRetain, nextRetain, nextRoots, currentRootSigs, gmssPS, digestProvider); // return the KeyPair return (new AsymmetricCipherKeyPair(publicKey, privateKey)); } /** * calculates the authpath for tree in layer h which starts with seed[h] * additionally computes the rootSignature of underlaying root * * @param currentStack stack used for the treehash instance created by this method * @param lowerRoot stores the root of the lower tree * @param seed starting seeds * @param h actual layer */ private GMSSRootCalc generateCurrentAuthpathAndRoot(byte[] lowerRoot, Vector currentStack, byte[] seed, int h) { byte[] help = new byte[mdLength]; byte[] OTSseed = new byte[mdLength]; OTSseed = gmssRandom.nextSeed(seed); WinternitzOTSignature ots; // data structure that constructs the whole tree and stores // the initial values for treehash, Auth and retain GMSSRootCalc treeToConstruct = new GMSSRootCalc(this.heightOfTrees[h], this.K[h], digestProvider); treeToConstruct.initialize(currentStack); // generate the first leaf if (h == numLayer - 1) { ots = new WinternitzOTSignature(OTSseed, digestProvider.get(), otsIndex[h]); help = ots.getPublicKey(); } else { // for all layers except the lowest, generate the signature of the // underlying root // and reuse this signature to compute the first leaf of acual layer // more efficiently (by verifiing the signature) ots = new WinternitzOTSignature(OTSseed, digestProvider.get(), otsIndex[h]); currentRootSigs[h] = ots.getSignature(lowerRoot); WinternitzOTSVerify otsver = new WinternitzOTSVerify(digestProvider.get(), otsIndex[h]); help = otsver.Verify(lowerRoot, currentRootSigs[h]); } // update the tree with the first leaf treeToConstruct.update(help); int seedForTreehashIndex = 3; int count = 0; // update the tree 2^(H) - 1 times, from the second to the last leaf for (int i = 1; i < (1 << this.heightOfTrees[h]); i++) { // initialize the seeds for the leaf generation with index 3 * 2^h if (i == seedForTreehashIndex && count < this.heightOfTrees[h] - this.K[h]) { treeToConstruct.initializeTreehashSeed(seed, count); seedForTreehashIndex *= 2; count++; } OTSseed = gmssRandom.nextSeed(seed); ots = new WinternitzOTSignature(OTSseed, digestProvider.get(), otsIndex[h]); treeToConstruct.update(ots.getPublicKey()); } if (treeToConstruct.wasFinished()) { return treeToConstruct; } System.err.println("Baum noch nicht fertig konstruiert!!!"); return null; } /** * calculates the authpath and root for tree in layer h which starts with * seed[h] * * @param nextStack stack used for the treehash instance created by this method * @param seed starting seeds * @param h actual layer */ private GMSSRootCalc generateNextAuthpathAndRoot(Vector nextStack, byte[] seed, int h) { byte[] OTSseed = new byte[numLayer]; WinternitzOTSignature ots; // data structure that constructs the whole tree and stores // the initial values for treehash, Auth and retain GMSSRootCalc treeToConstruct = new GMSSRootCalc(this.heightOfTrees[h], this.K[h], this.digestProvider); treeToConstruct.initialize(nextStack); int seedForTreehashIndex = 3; int count = 0; // update the tree 2^(H) times, from the first to the last leaf for (int i = 0; i < (1 << this.heightOfTrees[h]); i++) { // initialize the seeds for the leaf generation with index 3 * 2^h if (i == seedForTreehashIndex && count < this.heightOfTrees[h] - this.K[h]) { treeToConstruct.initializeTreehashSeed(seed, count); seedForTreehashIndex *= 2; count++; } OTSseed = gmssRandom.nextSeed(seed); ots = new WinternitzOTSignature(OTSseed, digestProvider.get(), otsIndex[h]); treeToConstruct.update(ots.getPublicKey()); } if (treeToConstruct.wasFinished()) { return treeToConstruct; } System.err.println("N�chster Baum noch nicht fertig konstruiert!!!"); return null; } /** * This method initializes the GMSS KeyPairGenerator using an integer value * <code>keySize</code> as input. It provides a simple use of the GMSS for * testing demands. * <p/> * A given <code>keysize</code> of less than 10 creates an amount 2^10 * signatures. A keySize between 10 and 20 creates 2^20 signatures. Given an * integer greater than 20 the key pair generator creates 2^40 signatures. * * @param keySize Assigns the parameters used for the GMSS signatures. There are * 3 choices:<br/> * 1. keysize <= 10: creates 2^10 signatures using the * parameterset<br/> * P = (2, (5, 5), (3, 3), (3, 3))<br/> * 2. keysize > 10 and <= 20: creates 2^20 signatures using the * parameterset<br/> * P = (2, (10, 10), (5, 4), (2, 2))<br/> * 3. keysize > 20: creates 2^40 signatures using the * parameterset<br/> * P = (2, (10, 10, 10, 10), (9, 9, 9, 3), (2, 2, 2, 2)) * @param secureRandom not used by GMSS, the SHA1PRNG of the SUN Provider is always * used */ public void initialize(int keySize, SecureRandom secureRandom) { KeyGenerationParameters kgp; if (keySize <= 10) { // create 2^10 keys int[] defh = {10}; int[] defw = {3}; int[] defk = {2}; // XXX sec random neede? kgp = new GMSSKeyGenerationParameters(secureRandom, new GMSSParameters(defh.length, defh, defw, defk)); } else if (keySize <= 20) { // create 2^20 keys int[] defh = {10, 10}; int[] defw = {5, 4}; int[] defk = {2, 2}; kgp = new GMSSKeyGenerationParameters(secureRandom, new GMSSParameters(defh.length, defh, defw, defk)); } else { // create 2^40 keys, keygen lasts around 80 seconds int[] defh = {10, 10, 10, 10}; int[] defw = {9, 9, 9, 3}; int[] defk = {2, 2, 2, 2}; kgp = new GMSSKeyGenerationParameters(secureRandom, new GMSSParameters(defh.length, defh, defw, defk)); } // call the initializer with the chosen parameters this.initialize(kgp); } /** * Initalizes the key pair generator using a parameter set as input */ public void initialize(KeyGenerationParameters param) { this.gmssParams = (GMSSKeyGenerationParameters)param; // generate GMSSParameterset this.gmssPS = new GMSSParameters(gmssParams.getParameters().getNumOfLayers(), gmssParams.getParameters().getHeightOfTrees(), gmssParams.getParameters().getWinternitzParameter(), gmssParams.getParameters().getK()); this.numLayer = gmssPS.getNumOfLayers(); this.heightOfTrees = gmssPS.getHeightOfTrees(); this.otsIndex = gmssPS.getWinternitzParameter(); this.K = gmssPS.getK(); // seeds this.currentSeeds = new byte[numLayer][mdLength]; this.nextNextSeeds = new byte[numLayer - 1][mdLength]; // construct SecureRandom for initial seed generation SecureRandom secRan = new SecureRandom(); // generation of initial seeds for (int i = 0; i < numLayer; i++) { secRan.nextBytes(currentSeeds[i]); gmssRandom.nextSeed(currentSeeds[i]); } this.initialized = true; } /** * This method is called by generateKeyPair() in case that no other * initialization method has been called by the user */ private void initializeDefault() { int[] defh = {10, 10, 10, 10}; int[] defw = {3, 3, 3, 3}; int[] defk = {2, 2, 2, 2}; KeyGenerationParameters kgp = new GMSSKeyGenerationParameters(new SecureRandom(), new GMSSParameters(defh.length, defh, defw, defk)); this.initialize(kgp); } public void init(KeyGenerationParameters param) { this.initialize(param); } public AsymmetricCipherKeyPair generateKeyPair() { return genKeyPair(); } }