secure dkg without stage 4
parent
a233f2f713
commit
210cc327ac
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@ -0,0 +1,43 @@
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package Communication;
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import com.google.protobuf.InvalidProtocolBufferException;
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import meerkat.protobuf.DKGMessages;
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/**
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* Created by Tzlil on 2/14/2016.
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*/
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public class MailHandler {
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private MessageHandler messageHandler;
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public MailHandler(MessageHandler messageHandler){
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this.messageHandler = messageHandler;
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}
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public MessageHandler getMessageHandler(){
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return messageHandler;
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}
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public void handel(DKGMessages.Mail mail) throws InvalidProtocolBufferException {
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switch (mail.getType()){
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case SECRET:
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DKGMessages.SecretMessage secretMessage = DKGMessages.SecretMessage.parseFrom(mail.getMessage());
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messageHandler.handelSecretMessage(mail.getSender(),mail.getDestination()== Network.BROADCAST,secretMessage);
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break;
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case COMMITMENT:
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DKGMessages.CommitmentMessage commitmentMessage = DKGMessages.CommitmentMessage.parseFrom(mail.getMessage());
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messageHandler.handelCommitmentMessage(mail.getSender(),mail.getDestination()== Network.BROADCAST,commitmentMessage);
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break;
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case DONE:
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DKGMessages.DoneMessage doneMessage = DKGMessages.DoneMessage.parseFrom(mail.getMessage());
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messageHandler.handelDoneMessage(mail.getSender(),mail.getDestination()== Network.BROADCAST,doneMessage);
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break;
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case COMPLAINT:
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DKGMessages.ComplaintMessage complaintMessage = DKGMessages.ComplaintMessage.parseFrom(mail.getMessage());
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messageHandler.handelComplaintMessage(mail.getSender(),mail.getDestination()== Network.BROADCAST,complaintMessage);
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break;
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default:
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break;
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}
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}
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}
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@ -0,0 +1,14 @@
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package Communication;
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import meerkat.protobuf.DKGMessages;
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/**
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* Created by Tzlil on 2/14/2016.
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*/
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public interface MessageHandler {
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void handelComplaintMessage(int sender, boolean isBroadcast,DKGMessages.ComplaintMessage complaintMessage);
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void handelDoneMessage(int sender, boolean isBroadcast, DKGMessages.DoneMessage doneMessage);
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void handelCommitmentMessage(int sender, boolean isBroadcast,DKGMessages.CommitmentMessage commitmentMessage);
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void handelSecretMessage(int sender, boolean isBroadcast,DKGMessages.SecretMessage secretMessage);
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void handelDoubleSecretMessage(int sender, boolean isBroadcast,DKGMessages.DoubleSecretMessage doubleSecretMessage);
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}
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package Communication;
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import com.google.protobuf.InvalidProtocolBufferException;
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import com.google.protobuf.Message;
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import meerkat.protobuf.DKGMessages.*;
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import java.util.Queue;
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import java.util.concurrent.ArrayBlockingQueue;
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/**
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* Created by Tzlil on 2/7/2016.
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* JointFeldamn protocol assumes all parties can communicate throw broadcast chanel
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* and private chanel (for each pair)
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* this class simulates it
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*/
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public class Network {
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protected final User[] users;
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protected final int n;
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protected final Queue<Integer> availableIDs;
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public static final int BROADCAST = 0;
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public Network(int n) {
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this.n = n;
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this.users = new User[n];
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this.availableIDs = new ArrayBlockingQueue<Integer>(n);
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for (int id = 1; id <= n; id++){
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availableIDs.add(id);
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}
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}
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public User connect(MessageHandler messageHandler){
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Integer id = availableIDs.poll();
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if (id == null)
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return null;
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users[id - 1] = new User(id,this,new MailHandler(messageHandler));
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return users[id - 1];
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}
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protected boolean sendMessage(User sender,int destination,Mail.Type type,Message message){
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if(destination < 1 || destination > n)
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return false;
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User user = users[destination - 1];
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if (user == null)
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return false;
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Mail mail = Mail.newBuilder()
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.setSender(sender.getID())
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.setDestination(destination)
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.setIsPrivate(true)
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.setType(type)
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.setMessage(message.toByteString())
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.build();
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return user.mailbox.add(mail);
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}
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protected void sendBroadcast(User sender,Mail.Type type,Message message){
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User user;
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Mail mail = Mail.newBuilder()
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.setSender(sender.getID())
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.setDestination(BROADCAST)
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.setIsPrivate(false)
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.setType(type)
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.setMessage(message.toByteString())
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.build();
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for (int i = 0 ; i < n ; i++){
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user = users[i];
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user.mailbox.add(mail);
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}
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}
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}
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package Communication;
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import com.google.protobuf.InvalidProtocolBufferException;
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import com.google.protobuf.Message;
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import meerkat.protobuf.DKGMessages;
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import java.util.Queue;
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import java.util.concurrent.ArrayBlockingQueue;
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/**
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* Created by Tzlil on 2/14/2016.
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*/
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public class User{
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protected final MailHandler mailHandler;
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protected final Queue<DKGMessages.Mail> mailbox;
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protected final int ID;
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protected final Thread receiverThread;
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private final Network network;
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protected User(int ID, Network network, MailHandler mailHandler) {
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this.mailbox = new ArrayBlockingQueue<DKGMessages.Mail>(2 * network.n * network.n);
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this.ID = ID;
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this.mailHandler = mailHandler;
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this.receiverThread = new Thread(new Receiver());
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this.network = network;
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}
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public boolean send(int id, DKGMessages.Mail.Type type, Message message){
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return network.sendMessage(this,id,type,message);
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}
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public void broadcast(DKGMessages.Mail.Type type, Message message){
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network.sendBroadcast(this,type,message);
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}
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public MessageHandler getMessageHandler(){
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return mailHandler.getMessageHandler();
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}
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public int getID() {
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return ID;
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}
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public Thread getReceiverThread(){
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return receiverThread;
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}
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private class Receiver implements Runnable{
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@Override
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public void run() {
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while (true){
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if (!mailbox.isEmpty()){
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try {
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mailHandler.handel(mailbox.poll());
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} catch (InvalidProtocolBufferException e) {
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e.printStackTrace();
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}
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}else{
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try {
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Thread.sleep(30);
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} catch (InterruptedException e) {
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// do nothing
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}
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}
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}
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}
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}
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}
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@ -1,9 +1,12 @@
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package FeldmanVerifiableSecretSharing;
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import FeldmanVerifiableSecretSharing.ShamirSecretSharing.Polynomial;
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import FeldmanVerifiableSecretSharing.ShamirSecretSharing.SecretSharing;
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import org.bouncycastle.util.Arrays;
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import org.factcenter.qilin.primitives.CyclicGroup;
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import Communication.Network;
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import Communication.User;
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import ShamirSecretSharing.Polynomial;
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import ShamirSecretSharing.SecretSharing;
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import com.google.protobuf.ByteString;
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import meerkat.protobuf.DKGMessages;
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import java.util.Arrays;
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import org.factcenter.qilin.primitives.concrete.Zpstar;
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import java.math.BigInteger;
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protected final Zpstar zpstar;
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protected final BigInteger g; // public generator of group
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private final BigInteger y; // y = g ^ x
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private final BigInteger[] commitments;
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protected final BigInteger[] commitments;
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/**
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* @param p a large prime
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* @param q a large prime dividing p - 1.
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* the generated group is a subgroup of Zp*.
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* it must be chosen such that computing discrete logarithms is hard in this group.
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*/
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public VerifiableSecretSharing(int t, int n, BigInteger x, Random random,BigInteger p,BigInteger q,BigInteger g) {
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super(t, n, x, random,q);
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public VerifiableSecretSharing(int t, int n, BigInteger x, Random random, BigInteger p, BigInteger q, BigInteger g
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, User user) {
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super(t, n, x, random,q,user);
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this.g = g;
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this.zpstar = new Zpstar(p);
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assert (zpstar.contains(g));
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this.y = zpstar.multiply(g,x);
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}
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public VerifiableSecretSharing(int t, int n, BigInteger x, Random random, BigInteger p, BigInteger q, BigInteger g
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, Network network) {
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this(t,n,x,random,p,q,g,network.connect(new VerifiableSecretSharingMessageHandler(t)));
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}
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/**
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* @return commitments[i] = g ^ polynomial.coefficients[i]
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*/
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* @return copy of commitments
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*/
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public BigInteger[] getCommitments() {
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return Arrays.clone(commitments);
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return Arrays.copyOf(commitments,commitments.length);
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}
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public DKGMessages.CommitmentMessage[] prepareCommitmentMessages(){
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DKGMessages.CommitmentMessage[] commitmentMessages = new DKGMessages.CommitmentMessage[t + 1];
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for (int k = 0; k <= t ; k ++) {
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commitmentMessages[k] = DKGMessages.CommitmentMessage.newBuilder()
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.setK(k)
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.setCommitment(ByteString.copyFrom(commitments[k].toByteArray()))
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.build();
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}
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return commitmentMessages;
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}
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protected void computeAndSendCommitments(){
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DKGMessages.CommitmentMessage[] commitmentMessages = prepareCommitmentMessages();
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for (int k = 0; k <= t ; k ++){
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user.broadcast(DKGMessages.Mail.Type.COMMITMENT,commitmentMessages[k]);
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}
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}
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@Override
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public void run() {
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super.run();
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computeAndSendCommitments();
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}
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}
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package FeldmanVerifiableSecretSharing;
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import Communication.Network;
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import ShamirSecretSharing.SecretSharingMessageHandler;
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import meerkat.protobuf.DKGMessages;
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import java.math.BigInteger;
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import java.util.Arrays;
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/**
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* Created by Tzlil on 2/16/2016.
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*/
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public class VerifiableSecretSharingMessageHandler extends SecretSharingMessageHandler {
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private final BigInteger[] commitments;
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public VerifiableSecretSharingMessageHandler(int t) {
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this.commitments = new BigInteger[t + 1];
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}
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public static BigInteger extractCommitment(DKGMessages.CommitmentMessage commitmentMessage){
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return new BigInteger(commitmentMessage.getCommitment().toByteArray());
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}
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@Override
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public void handelCommitmentMessage(int sender, boolean isBroadcast, DKGMessages.CommitmentMessage commitmentMessage) {
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if(isBroadcast) { // receive in broadcast only
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commitments[commitmentMessage.getK()] = extractCommitment(commitmentMessage);
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}
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}
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public BigInteger[] getCommitments() {
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return commitments;
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}
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public BigInteger getY(){
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return commitments[0];
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}
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}
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package JointFeldmanProtocol;
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import FeldmanVerifiableSecretSharing.ShamirSecretSharing.Polynomial;
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import FeldmanVerifiableSecretSharing.VerifiableSecretSharing;
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import com.google.protobuf.ByteString;
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import com.google.protobuf.InvalidProtocolBufferException;
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import org.bouncycastle.util.Arrays;
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import meerkat.protobuf.DKGMessages.*;
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import java.math.BigInteger;
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import java.util.HashSet;
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import java.util.Random;
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import java.util.Set;
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import java.util.concurrent.Callable;
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/**
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* Created by Tzlil on 2/5/2016.
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*
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* an implementation of a version of Pedersen's distributed key generation protocol
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*/
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public class DKG extends VerifiableSecretSharing implements Runnable{
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private final int id;
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private final Network.User user; // send and receive messages throw network
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private final BigInteger[] ys; // container for y values that
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private final Polynomial.Point[] shares; // shares[i] equivalent to Si,id in terms of the protocol
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private final BigInteger[][] commitmentsArray; // commitmentsArray[i] equivalent to Ai in terms of the protocol
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private final ComplainState[][] complainStates; // complainStates[i][j] == state of Pj's complaint against Pi
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private final Set<Integer> QUAL; // set of all non-disqualified parties
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private final BigInteger[] commitments; // public verification values
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private Polynomial.Point share; // final share of the secrete
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private BigInteger y; // final public value
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public DKG(int t, int n, BigInteger x, Random random, BigInteger p, BigInteger q, BigInteger g,Network network) {
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super(t, n, x, random, p, q, g);
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this.commitmentsArray = new BigInteger[n][t + 1];
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this.shares = new Polynomial.Point[n];
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this.user = network.connect(new Handler());
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this.id = user.getID();
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this.complainStates = new ComplainState[n][n];
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this.QUAL = new HashSet<Integer>();
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this.ys = new BigInteger[n];
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this.commitments = new BigInteger[t + 1];
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for (int i = 0; i < n; i ++){
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for (int j = 0 ; j < n ; j ++)
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complainStates[i][j] = ComplainState.Non;
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}
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}
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/**
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* use for simulate real distributed protocol
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*/
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@Override
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public void run() {
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user.getReceiverThread().start();
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stage1();
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stage2();
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stage3();
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stage4();
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user.getReceiverThread().interrupt();
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}
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/**
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* stage1 according to the protocol
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* 1. Pi broadcasts Aik for k = 0,...,t.
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* 2. Pi computes the shares Sij for j = 1,...,n and sends Sij secretly to Pj.
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*/
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private void stage1(){
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// for avoiding edge cases, sets commitmentsArray[id - 1]
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BigInteger[] commitments = super.getCommitments();
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System.arraycopy(commitments, 0, commitmentsArray[id - 1], 0, commitmentsArray[id - 1].length);
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// broadcasts commitments
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CommitmentMessage commitment;
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for (int k = 0; k <= t ; k ++){
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commitment = CommitmentMessage.newBuilder()
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.setK(k)
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.setCommitment(ByteString.copyFrom(commitmentsArray[id - 1][k].toByteArray()))
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.build();
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user.broadcast(Mail.Type.COMMITMENT,commitment);
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}
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// computes and sends shares
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SecretMessage secret;
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for (int j = 1; j <= n ; j++ ){
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if(j != id){
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secret = SecretMessage.newBuilder()
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.setSecret(getShare(j).asMessage())
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.build();
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user.send(j, Mail.Type.SECRET,secret);
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}
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else{
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shares[id - 1] = super.getShare(id);
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}
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}
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while (!isStage1Complete()){
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try {
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Thread.sleep(300);
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} catch (InterruptedException e) {
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// do nothing
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}
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}
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}
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/**
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* @return true iff all shares and commitments were received
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*/
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private boolean isStage1Complete(){
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for (int i = 1 ; i <= n ; i++){
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if(shares[i - 1] == null)
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return false;
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}
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for (int i = 0; i < commitmentsArray.length; i++){
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for (int j = 0; j < commitmentsArray[i].length; j++){
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if(commitmentsArray[i][j] == null)
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return false;
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}
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}
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return true;
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}
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/**
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* @param secret
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* @param i
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* @return g ^ Sij == verify(j,Ai,zpstar) (mod p)
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*/
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private boolean isValidSecret(Polynomial.Point secret, int i){
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int j = secret.x.intValue();
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return zpstar.multiply(g,secret.y).equals(verify(j,commitmentsArray[i - 1],zpstar));
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}
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/**
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* stage2 according to the protocol
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* Pj verifies all the shares he received (using isValidSecret)
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* if check fails for an index i, Pj broadcasts a complaint against Pi.
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* Pj broadcasts yj value at the end of this stage
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*/
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private void stage2(){
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ys[id - 1] = super.getY();
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ComplaintMessage complaint;
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for (int i = 1; i <= n ; i++ ){
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if(id != i && !isValidSecret(shares[i - 1],i)) {
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//message = new Message(Type.Complaint, j)
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complaint = ComplaintMessage.newBuilder()
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.setId(i)
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.build();
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user.broadcast(Mail.Type.COMPLAINT,complaint);
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complainStates[i - 1][id - 1] = ComplainState.Waiting;
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}
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}
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//broadcast y after all complaints
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YMessage yMessage = YMessage.newBuilder()
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.setY(ByteString.copyFrom(super.getY().toByteArray()))
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.build();
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user.broadcast(Mail.Type.Y,yMessage);
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while (!isStage2Complete()){
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try {
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Thread.sleep(300);
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} catch (InterruptedException e) {
|
||||
// do nothing
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/**
|
||||
* @return true iff all yi received for i = 1,...,n .
|
||||
*/
|
||||
private boolean isStage2Complete() {
|
||||
for (int j = 1; j <= n ; j++) {
|
||||
if (j != id && ys[j - 1] == null)
|
||||
return false;
|
||||
}
|
||||
return true;
|
||||
}
|
||||
|
||||
|
||||
/**
|
||||
* stage3 according to the protocol
|
||||
* 1. if more than t players complain against a player Pi he is disqualified.
|
||||
* 2. Pi broadcasts the share Sij for each complaining player Pj.
|
||||
* 3. if any of the revealed shares fails the verification test, player Pi is disqualified.
|
||||
* 4. set QUAL to be the set of non-disqualified players.
|
||||
*/
|
||||
private void stage3(){
|
||||
|
||||
// broadcasts Sij for each complaint against Pid
|
||||
for (int j = 1 ; j <= complainStates[id - 1].length;j++) {
|
||||
switch (complainStates[id - 1][j - 1]) {
|
||||
case Waiting:
|
||||
user.broadcast(Mail.Type.SECRET, SecretMessage.newBuilder()
|
||||
.setSecret(getShare(j).asMessage())
|
||||
.build());
|
||||
complainStates[id - 1][j - 1] = ComplainState.NonDisqualified;
|
||||
break;
|
||||
default:
|
||||
break;
|
||||
}
|
||||
}
|
||||
|
||||
// wait until there is no complaint waiting for answer
|
||||
for (int i = 0; i < complainStates.length;i++){
|
||||
for (int j = 0 ; j < complainStates[i].length;j++){
|
||||
while (complainStates[i][j].equals(ComplainState.Waiting)){
|
||||
try {
|
||||
Thread.sleep(300);
|
||||
} catch (InterruptedException e) {
|
||||
// do nothing
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
// add each non-disqualified player to QUAL
|
||||
boolean nonDisqualified;
|
||||
for (int i = 1; i <= complainStates.length;i++){
|
||||
nonDisqualified = true;
|
||||
for (int j = 1 ; j <= complainStates[i - 1].length;j++){
|
||||
nonDisqualified &= complainStates[i - 1][j - 1].equals(ComplainState.Disqualified);
|
||||
}
|
||||
if(nonDisqualified){
|
||||
QUAL.add(i);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/**
|
||||
* stage4 according to the protocol
|
||||
* 1. public value y is computed as y = multiplication of yi mod p for i in QUAL
|
||||
* 2. public verification values are computed as Ak = multiplication of Aik mod p for i in QUAL for k = 0,...,t
|
||||
* 3. Pj sets is share of the secret as xj = sum of Sij mod q for i in QUAL
|
||||
*/
|
||||
private void stage4(){
|
||||
this.y = zpstar.zero();
|
||||
for (int i : QUAL) {
|
||||
this.y = zpstar.add(this.y , ys[i - 1]);
|
||||
}
|
||||
BigInteger commitment;
|
||||
for (int k = 0; k <= t ; k++){
|
||||
commitment = zpstar.zero();
|
||||
for (int i : QUAL) {
|
||||
commitment = zpstar.add(commitment,commitmentsArray[i - 1][k]);
|
||||
}
|
||||
commitments[k] = commitment;
|
||||
}
|
||||
|
||||
BigInteger xj = BigInteger.ZERO;
|
||||
for (int i : QUAL) {
|
||||
xj = xj.add(shares[i - 1].y);
|
||||
}
|
||||
this.share = new Polynomial.Point(BigInteger.valueOf(id) , xj.mod(q));
|
||||
}
|
||||
|
||||
@Override
|
||||
public BigInteger getY() {
|
||||
return y;
|
||||
}
|
||||
|
||||
@Override
|
||||
public BigInteger[] getCommitments() {
|
||||
return Arrays.clone(commitments);
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
private enum ComplainState{
|
||||
Non, Waiting,Disqualified,NonDisqualified
|
||||
}
|
||||
|
||||
private class Handler implements Network.MailHandler {
|
||||
|
||||
private Handler() {}
|
||||
|
||||
void handelSecretMessage(Mail mail) throws InvalidProtocolBufferException {
|
||||
if(shares[mail.getSender() - 1] == null) {
|
||||
SecretMessage secretMessage = SecretMessage.parseFrom(mail.getMessage());
|
||||
Polynomial.Point secret = new Polynomial.Point(secretMessage.getSecret());
|
||||
if(mail.getIsPrivate()){
|
||||
shares[mail.getSender() - 1] = secret;
|
||||
}else{
|
||||
int i = mail.getSender();
|
||||
int j = secret.x.intValue();
|
||||
switch (complainStates[i - 1][j - 1]){
|
||||
case Waiting:
|
||||
if(isValidSecret(secret,i)){
|
||||
complainStates[i - 1][j - 1] = ComplainState.NonDisqualified;
|
||||
}else{
|
||||
complainStates[i - 1][j - 1] = ComplainState.Disqualified;
|
||||
}
|
||||
break;
|
||||
default:
|
||||
break;
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
void handelCommitmentMessage(Mail mail) throws InvalidProtocolBufferException {
|
||||
if(!mail.getIsPrivate()) { //broadcast only
|
||||
CommitmentMessage commitmentMessage = CommitmentMessage.parseFrom(mail.getMessage());
|
||||
if (commitmentsArray[mail.getSender() - 1][commitmentMessage.getK()] == null) {
|
||||
BigInteger commitment = new BigInteger(commitmentMessage.getCommitment().toByteArray());
|
||||
commitmentsArray[mail.getSender() - 1][commitmentMessage.getK()] = commitment;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
void handelYMessage(Mail mail) throws InvalidProtocolBufferException {
|
||||
if(!mail.getIsPrivate()) { //broadcast only
|
||||
if (ys[mail.getSender() - 1] == null) {
|
||||
YMessage yMessage = YMessage.parseFrom(mail.getMessage());
|
||||
BigInteger y = new BigInteger(yMessage.getY().toByteArray());
|
||||
ys[mail.getSender() - 1] = y;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
void handelComplaintMessage(Mail mail) throws InvalidProtocolBufferException {
|
||||
int id = user.getID();
|
||||
if(!mail.getIsPrivate()) { //broadcast only
|
||||
ComplaintMessage complaintMessage = ComplaintMessage.parseFrom(mail.getMessage());
|
||||
int i = complaintMessage.getId();
|
||||
int j = mail.getSender();
|
||||
switch (complainStates[i - 1][j - 1]){
|
||||
case Non:
|
||||
complainStates[i - 1][j - 1] = ComplainState.Waiting;
|
||||
break;
|
||||
default:
|
||||
break;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
@Override
|
||||
public void handel(Mail mail) throws InvalidProtocolBufferException {
|
||||
switch (mail.getType()){
|
||||
case SECRET:
|
||||
handelSecretMessage(mail);
|
||||
break;
|
||||
case COMMITMENT:
|
||||
handelCommitmentMessage(mail);
|
||||
break;
|
||||
case Y:
|
||||
handelYMessage(mail);
|
||||
break;
|
||||
case COMPLAINT:
|
||||
handelComplaintMessage(mail);
|
||||
break;
|
||||
default:
|
||||
break;
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
|
@ -0,0 +1,216 @@
|
|||
package JointFeldmanProtocol;
|
||||
|
||||
import Communication.Network;
|
||||
import Communication.User;
|
||||
import ShamirSecretSharing.Polynomial;
|
||||
import FeldmanVerifiableSecretSharing.VerifiableSecretSharing;
|
||||
import meerkat.protobuf.DKGMessages.*;
|
||||
import org.factcenter.qilin.primitives.concrete.Zpstar;
|
||||
|
||||
import java.math.BigInteger;
|
||||
import java.util.HashSet;
|
||||
import java.util.Random;
|
||||
import java.util.Set;
|
||||
import java.util.Arrays;
|
||||
|
||||
/**
|
||||
* Created by Tzlil on 2/5/2016.
|
||||
*
|
||||
* an implementation of a version of Pedersen's distributed key generation protocol
|
||||
*/
|
||||
public class DistributedKeyGeneration extends VerifiableSecretSharing implements Runnable{
|
||||
|
||||
private final int id;
|
||||
|
||||
private final Set<Integer> QUAL; // set of all non-disqualified parties
|
||||
private final BigInteger[] finalCommitments; // public verification values
|
||||
|
||||
private Polynomial.Point share; // final share of the secrete
|
||||
private BigInteger y; // final public value
|
||||
|
||||
private final DistributedKeyGenerationMessageHandler handler;
|
||||
|
||||
public DistributedKeyGeneration(int t, int n, BigInteger zi, Random random, BigInteger p, BigInteger q, BigInteger g
|
||||
, User user) {
|
||||
super(t, n, zi, random, p, q, g,user);
|
||||
this.handler = (DistributedKeyGenerationMessageHandler) user.getMessageHandler();
|
||||
this.id = user.getID();
|
||||
this.QUAL = new HashSet<Integer>();
|
||||
this.finalCommitments = new BigInteger[t + 1];
|
||||
Arrays.fill(this.finalCommitments,zpstar.zero());
|
||||
}
|
||||
public DistributedKeyGeneration(int t, int n, BigInteger zi, Random random, BigInteger p, BigInteger q, BigInteger g
|
||||
, Network network) {
|
||||
this(t,n,zi,random,p,q,g,network.connect(new DistributedKeyGenerationMessageHandler(t,n,g,new Zpstar(p))));
|
||||
}
|
||||
|
||||
/**
|
||||
* use for simulate real distributed protocol
|
||||
*/
|
||||
@Override
|
||||
public void run() {
|
||||
user.getReceiverThread().start();
|
||||
stage1();
|
||||
stage2();
|
||||
stage3();
|
||||
stage4();
|
||||
user.getReceiverThread().interrupt();
|
||||
}
|
||||
|
||||
/**
|
||||
* stage1 according to the protocol
|
||||
* 1. Pi broadcasts Aik for k = 0,...,t.
|
||||
* 2. Pi computes the shares Sij for j = 1,...,n and sends Sij secretly to Pj.
|
||||
*/
|
||||
protected void stage1(){
|
||||
super.run();
|
||||
while (!handler.isStage1Complete()){
|
||||
try {
|
||||
Thread.sleep(300);
|
||||
} catch (InterruptedException e) {
|
||||
// do nothing
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/**
|
||||
* stage2 according to the protocol
|
||||
* Pj verifies all the shares he received (using isValidSecret)
|
||||
* if check fails for an index i, Pj broadcasts a complaint against Pi.
|
||||
* Pj broadcasts yj value at the end of this stage
|
||||
*/
|
||||
private void stage2(){
|
||||
ComplaintMessage complaint;
|
||||
for (int i = 1; i <= n ; i++ ){
|
||||
if(id != i && !handler.isValidSecret(i)) {
|
||||
//message = new Message(Type.Complaint, j)
|
||||
complaint = ComplaintMessage.newBuilder()
|
||||
.setId(i)
|
||||
.build();
|
||||
user.broadcast(Mail.Type.COMPLAINT,complaint);
|
||||
}
|
||||
}
|
||||
//broadcast done message after all complaints
|
||||
DoneMessage doneMessage = DoneMessage.newBuilder().build();
|
||||
user.broadcast(Mail.Type.DONE,doneMessage);
|
||||
|
||||
while (!handler.isStage2Complete()){
|
||||
try {
|
||||
Thread.sleep(300);
|
||||
} catch (InterruptedException e) {
|
||||
// do nothing
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
|
||||
protected void answerComplaint(int j){
|
||||
user.broadcast(Mail.Type.SECRET, SecretMessage.newBuilder()
|
||||
.setSecret(getShare(j).asMessage())
|
||||
.build());
|
||||
}
|
||||
/**
|
||||
* stage3 according to the protocol
|
||||
* 1. if more than t players complain against a player Pi he is disqualified.
|
||||
* 2. Pi broadcasts the share Sij for each complaining player Pj.
|
||||
* 3. if any of the revealed shares fails the verification test, player Pi is disqualified.
|
||||
* 4. set QUAL to be the set of non-disqualified players.
|
||||
*/
|
||||
private void stage3(){
|
||||
DistributedKeyGenerationMessageHandler.ComplainState[][] complainStates = handler.getComplainStates();
|
||||
// broadcasts Sij for each complaint against Pid
|
||||
for (int j = 1; j <= complainStates[id - 1].length; j++) {
|
||||
switch (complainStates[id - 1][j - 1]) {
|
||||
case Waiting:
|
||||
answerComplaint(j);
|
||||
break;
|
||||
default:
|
||||
break;
|
||||
}
|
||||
}
|
||||
|
||||
// wait until there is no complaint waiting for answer
|
||||
for (int i = 0; i < complainStates.length; i++){
|
||||
for (int j = 0; j < complainStates[i].length; j++){
|
||||
while (complainStates[i][j].equals(DistributedKeyGenerationMessageHandler.ComplainState.Waiting)){
|
||||
try {
|
||||
Thread.sleep(300);
|
||||
} catch (InterruptedException e) {
|
||||
// do nothing
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
// add each non-disqualified player to QUAL
|
||||
boolean nonDisqualified;
|
||||
int counter;
|
||||
for (int i = 1; i <= complainStates.length; i++){
|
||||
nonDisqualified = true;
|
||||
counter = 0;
|
||||
for (int j = 1; j <= complainStates[i - 1].length; j++){
|
||||
switch (complainStates[i - 1][j - 1]) {
|
||||
case Non:
|
||||
break;
|
||||
case NonDisqualified:
|
||||
counter++;
|
||||
default:
|
||||
nonDisqualified = false;
|
||||
}
|
||||
if(!nonDisqualified)
|
||||
break;
|
||||
}
|
||||
if(nonDisqualified && counter <= t){
|
||||
QUAL.add(i);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/**
|
||||
* stage4 according to the protocol
|
||||
* 1. public value y is computed as y = multiplication of yi mod p for i in QUAL
|
||||
* 2. public verification values are computed as Ak = multiplication of Aik mod p for i in QUAL for k = 0,...,t
|
||||
* 3. Pj sets is share of the secret as xj = sum of Sij mod q for i in QUAL
|
||||
*/
|
||||
private void stage4(){
|
||||
this.y = zpstar.zero();
|
||||
for (int i : QUAL) {
|
||||
this.y = zpstar.add(this.y , handler.getY(i));
|
||||
}
|
||||
|
||||
BigInteger[] commitments;
|
||||
|
||||
for (int i : QUAL) {
|
||||
commitments = handler.getCommitments(i);
|
||||
for (int k = 0; k <= t; k++){
|
||||
this.finalCommitments[k] = zpstar.add(this.finalCommitments[k],commitments[k]);
|
||||
}
|
||||
}
|
||||
|
||||
BigInteger xj = BigInteger.ZERO;
|
||||
for (int i : QUAL) {
|
||||
if( i == id){
|
||||
xj = xj.add(super.getShare(i).y);
|
||||
}else{
|
||||
xj = xj.add(handler.getShare(i).y);
|
||||
}
|
||||
}
|
||||
this.share = new Polynomial.Point(BigInteger.valueOf(id) , xj.mod(q));
|
||||
}
|
||||
|
||||
@Override
|
||||
public BigInteger getY() {
|
||||
return y;
|
||||
}
|
||||
|
||||
@Override
|
||||
public BigInteger[] getCommitments() {
|
||||
return Arrays.copyOf(finalCommitments, finalCommitments.length);
|
||||
}
|
||||
|
||||
public Polynomial.Point getShare() {
|
||||
return share;
|
||||
}
|
||||
|
||||
}
|
|
@ -0,0 +1,161 @@
|
|||
package JointFeldmanProtocol;
|
||||
|
||||
import Communication.MessageHandler;
|
||||
import Communication.Network;
|
||||
import FeldmanVerifiableSecretSharing.VerifiableSecretSharing;
|
||||
import FeldmanVerifiableSecretSharing.VerifiableSecretSharingMessageHandler;
|
||||
import ShamirSecretSharing.Polynomial;
|
||||
import ShamirSecretSharing.SecretSharingMessageHandler;
|
||||
import meerkat.protobuf.DKGMessages;
|
||||
import org.factcenter.qilin.primitives.concrete.Zpstar;
|
||||
|
||||
import java.math.BigInteger;
|
||||
|
||||
/**
|
||||
* Created by Tzlil on 2/16/2016.
|
||||
*/
|
||||
public class DistributedKeyGenerationMessageHandler implements MessageHandler {
|
||||
|
||||
protected enum ComplainState{
|
||||
Non, Waiting,Disqualified,NonDisqualified
|
||||
}
|
||||
|
||||
protected final VerifiableSecretSharingMessageHandler[] vssHandlers;
|
||||
protected final ComplainState[][] complainStates; // complainStates[i][j] == state of Pj's complaint against Pi
|
||||
protected final BigInteger g;
|
||||
protected final Zpstar zpstar;
|
||||
protected final int n;
|
||||
private final boolean[] doneFlags;
|
||||
|
||||
public DistributedKeyGenerationMessageHandler(int t, int n, BigInteger g, Zpstar zpstar) {
|
||||
this.g = g;
|
||||
this.zpstar = zpstar;
|
||||
this.n = n;
|
||||
this.doneFlags = new boolean[n];
|
||||
this.vssHandlers = new VerifiableSecretSharingMessageHandler[n];
|
||||
for (int i = 1; i <= n ; i++){
|
||||
vssHandlers[i - 1] = new VerifiableSecretSharingMessageHandler(t);
|
||||
}
|
||||
this.complainStates = new ComplainState[n][n];
|
||||
for (int i = 0; i < n; i ++){
|
||||
for (int j = 0 ; j < n ; j ++)
|
||||
this.complainStates[i][j] = ComplainState.Non;
|
||||
}
|
||||
}
|
||||
|
||||
/**
|
||||
* @return true iff all shares and commitments were received
|
||||
*/
|
||||
protected boolean isStage1Complete(){
|
||||
for (int i = 1 ; i <= n ; i++){
|
||||
if(vssHandlers[i - 1].getShare() == null)
|
||||
return false;
|
||||
}
|
||||
|
||||
BigInteger[] commitments;
|
||||
for (int i = 0; i < vssHandlers.length; i++){
|
||||
commitments = vssHandlers[i].getCommitments();
|
||||
for (int j = 0; j < commitments.length; j++){
|
||||
if(commitments[j] == null)
|
||||
return false;
|
||||
}
|
||||
}
|
||||
return true;
|
||||
}
|
||||
|
||||
/**
|
||||
* @return true iff all flags in doneFlags are true
|
||||
*/
|
||||
protected boolean isStage2Complete() {
|
||||
for (int j = 0; j < n ; j++) {
|
||||
if(!doneFlags[j])
|
||||
return false;
|
||||
}
|
||||
return true;
|
||||
}
|
||||
|
||||
@Override
|
||||
public void handelComplaintMessage(int sender, boolean isBroadcast, DKGMessages.ComplaintMessage complaintMessage) {
|
||||
if(isBroadcast){
|
||||
int i = complaintMessage.getId();
|
||||
int j = sender;
|
||||
switch (complainStates[i - 1][j - 1]){
|
||||
case Non:
|
||||
complainStates[i - 1][j - 1] = ComplainState.Waiting;
|
||||
break;
|
||||
default:
|
||||
break;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
@Override
|
||||
public void handelDoneMessage(int sender, boolean isBroadcast, DKGMessages.DoneMessage doneMessage) {
|
||||
if(isBroadcast)
|
||||
this.doneFlags[sender - 1] = true;
|
||||
}
|
||||
|
||||
@Override
|
||||
public void handelCommitmentMessage(int sender, boolean isBroadcast, DKGMessages.CommitmentMessage commitmentMessage) {
|
||||
vssHandlers[sender - 1].handelCommitmentMessage(sender, isBroadcast, commitmentMessage);
|
||||
}
|
||||
|
||||
|
||||
/**
|
||||
* @param secret
|
||||
* @param i
|
||||
* @return g ^ Sij == verify(j,Ai,zpstar) (mod p)
|
||||
*/
|
||||
private boolean isValidSecret(Polynomial.Point secret, int i){
|
||||
int j = secret.x.intValue();
|
||||
BigInteger[] commitments = vssHandlers[i - 1].getCommitments();
|
||||
return zpstar.multiply(g,secret.y).equals(VerifiableSecretSharing.verify(j,commitments,zpstar));
|
||||
}
|
||||
|
||||
protected boolean isValidSecret(int i){
|
||||
return isValidSecret(getShare(i),i);
|
||||
}
|
||||
|
||||
@Override
|
||||
public void handelSecretMessage(int sender, boolean isBroadcast, DKGMessages.SecretMessage secretMessage) {
|
||||
vssHandlers[sender - 1].handelSecretMessage(sender, isBroadcast, secretMessage);
|
||||
if(isBroadcast){
|
||||
Polynomial.Point secret = SecretSharingMessageHandler.extractSecret(secretMessage);
|
||||
int i = sender;
|
||||
int j = secret.x.intValue();
|
||||
switch (complainStates[i - 1][j - 1]){
|
||||
case Waiting:
|
||||
if(isValidSecret(secret,i)){
|
||||
complainStates[i - 1][j - 1] = ComplainState.NonDisqualified;
|
||||
}else{
|
||||
complainStates[i - 1][j - 1] = ComplainState.Disqualified;
|
||||
}
|
||||
break;
|
||||
default:
|
||||
break;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
@Override
|
||||
public void handelDoubleSecretMessage(int sender, boolean isBroadcast, DKGMessages.DoubleSecretMessage doubleSecretMessage) {
|
||||
// ignore
|
||||
}
|
||||
|
||||
|
||||
protected ComplainState[][] getComplainStates() {
|
||||
return complainStates;
|
||||
}
|
||||
|
||||
protected BigInteger getY(int i){
|
||||
return vssHandlers[i - 1].getY();
|
||||
}
|
||||
|
||||
protected BigInteger[] getCommitments(int i){
|
||||
return vssHandlers[i -1].getCommitments();
|
||||
}
|
||||
|
||||
protected Polynomial.Point getShare(int i){
|
||||
return vssHandlers[i-1].getShare();
|
||||
}
|
||||
}
|
|
@ -1,124 +0,0 @@
|
|||
package JointFeldmanProtocol;
|
||||
|
||||
import com.google.protobuf.InvalidProtocolBufferException;
|
||||
import com.google.protobuf.Message;
|
||||
import meerkat.protobuf.DKGMessages.*;
|
||||
import java.util.Queue;
|
||||
import java.util.concurrent.ArrayBlockingQueue;
|
||||
/**
|
||||
* Created by Tzlil on 2/7/2016.
|
||||
* JointFeldamn protocol assumes all parties can communicate throw broadcast chanel
|
||||
* and private chanel (for each pair)
|
||||
* this class simulates it
|
||||
*/
|
||||
public class Network {
|
||||
|
||||
private final User[] users;
|
||||
private final int n;
|
||||
private final Queue<Integer> availableIDs;
|
||||
|
||||
|
||||
public Network(int n) {
|
||||
this.n = n;
|
||||
this.users = new User[n];
|
||||
this.availableIDs = new ArrayBlockingQueue<Integer>(n);
|
||||
for (int id = 1; id <= n; id++){
|
||||
availableIDs.add(id);
|
||||
}
|
||||
}
|
||||
|
||||
public User connect(MailHandler messageHandler){
|
||||
Integer id = availableIDs.poll();
|
||||
if (id == null)
|
||||
return null;
|
||||
users[id - 1] = new User(id,messageHandler);
|
||||
return users[id - 1];
|
||||
}
|
||||
|
||||
private boolean sendMessage(User sender,int destination,Mail.Type type,Message message){
|
||||
if(destination < 1 || destination > n)
|
||||
return false;
|
||||
User user = users[destination - 1];
|
||||
if (user == null)
|
||||
return false;
|
||||
Mail mail = Mail.newBuilder()
|
||||
.setSender(sender.getID())
|
||||
.setDestination(destination)
|
||||
.setIsPrivate(true)
|
||||
.setType(type)
|
||||
.setMessage(message.toByteString())
|
||||
.build();
|
||||
return user.mailbox.add(mail);
|
||||
}
|
||||
|
||||
private void sendBroadcast(User sender,Mail.Type type,Message message){
|
||||
User user;
|
||||
int ID = sender.ID;
|
||||
Mail mail = Mail.newBuilder()
|
||||
.setSender(sender.getID())
|
||||
.setDestination(0)
|
||||
.setIsPrivate(false)
|
||||
.setType(type)
|
||||
.setMessage(message.toByteString())
|
||||
.build();
|
||||
for (int i = 0 ; i < n ; i++){
|
||||
if (i + 1 == ID) {
|
||||
continue;
|
||||
}
|
||||
user = users[i];
|
||||
user.mailbox.add(mail);
|
||||
}
|
||||
}
|
||||
|
||||
public class User{
|
||||
private final MailHandler messageHandler;
|
||||
private final Queue<Mail> mailbox;
|
||||
private final int ID;
|
||||
private final Thread receiverThread;
|
||||
public User(int ID, MailHandler messageHandler) {
|
||||
this.mailbox = new ArrayBlockingQueue<Mail>(1 << n);
|
||||
this.ID = ID;
|
||||
this.messageHandler = messageHandler;
|
||||
this.receiverThread = new Thread(new Receiver());
|
||||
}
|
||||
|
||||
public boolean send(int id, Mail.Type type,Message message){
|
||||
return sendMessage(this,id,type,message);
|
||||
}
|
||||
public void broadcast(Mail.Type type,Message message){
|
||||
sendBroadcast(this,type,message);
|
||||
}
|
||||
public int getID() {
|
||||
return ID;
|
||||
}
|
||||
public Thread getReceiverThread(){
|
||||
return receiverThread;
|
||||
}
|
||||
private class Receiver implements Runnable{
|
||||
@Override
|
||||
public void run() {
|
||||
while (true){
|
||||
if (!mailbox.isEmpty()){
|
||||
try {
|
||||
messageHandler.handel(mailbox.poll());
|
||||
} catch (InvalidProtocolBufferException e) {
|
||||
e.printStackTrace();
|
||||
}
|
||||
}else{
|
||||
try {
|
||||
Thread.sleep(30);
|
||||
} catch (InterruptedException e) {
|
||||
// do nothing
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
}
|
||||
|
||||
public interface MailHandler {
|
||||
public void handel(Mail mail) throws InvalidProtocolBufferException;
|
||||
}
|
||||
}
|
|
@ -0,0 +1,68 @@
|
|||
package SecureDistributedKeyGeneration;
|
||||
|
||||
import Communication.Network;
|
||||
import FeldmanVerifiableSecretSharing.VerifiableSecretSharing;
|
||||
import JointFeldmanProtocol.DistributedKeyGeneration;
|
||||
import com.google.protobuf.ByteString;
|
||||
import meerkat.protobuf.DKGMessages;
|
||||
import org.factcenter.qilin.primitives.concrete.Zpstar;
|
||||
|
||||
import java.math.BigInteger;
|
||||
import java.util.Random;
|
||||
|
||||
/**
|
||||
* Created by Tzlil on 2/17/2016.
|
||||
*/
|
||||
public class SecureDistributedKeyGeneration extends DistributedKeyGeneration {
|
||||
|
||||
VerifiableSecretSharing verifiableSecretSharing;
|
||||
|
||||
public SecureDistributedKeyGeneration(int t, int n, BigInteger zi, Random random, BigInteger p, BigInteger q, BigInteger g
|
||||
,BigInteger h, Network network) {
|
||||
super(t, n, zi, random, p, q, g, network.connect(new SecureDistributedKeyGenerationMessageHandler(t,n,g,new Zpstar(p))));
|
||||
this.verifiableSecretSharing = new VerifiableSecretSharing(t,n,new BigInteger(q.bitLength(), random).mod(q),random,p,q,h,user);
|
||||
}
|
||||
|
||||
@Override
|
||||
protected void computeAndSendSecrets() {
|
||||
DKGMessages.SecretMessage[] secretMessages1 = prepareSecretMessages();
|
||||
DKGMessages.SecretMessage[] secretMessages2 = verifiableSecretSharing.prepareSecretMessages();
|
||||
DKGMessages.DoubleSecretMessage doubleSecretMessage;
|
||||
|
||||
for (int j = 1; j <= n ; j++ ){
|
||||
doubleSecretMessage = DKGMessages.DoubleSecretMessage.newBuilder()
|
||||
.setS1(secretMessages1[j - 1])
|
||||
.setS1(secretMessages2[j - 1])
|
||||
.build();
|
||||
user.send(j, DKGMessages.Mail.Type.SECRET,doubleSecretMessage);
|
||||
}
|
||||
}
|
||||
|
||||
@Override
|
||||
public DKGMessages.CommitmentMessage[] prepareCommitmentMessages() {
|
||||
DKGMessages.CommitmentMessage[] commitmentMessages = new DKGMessages.CommitmentMessage[t + 1];
|
||||
BigInteger[] commitments2 = verifiableSecretSharing.getCommitments();
|
||||
for (int k = 0; k <= t ; k ++) {
|
||||
commitmentMessages[k] = DKGMessages.CommitmentMessage.newBuilder()
|
||||
.setK(k)
|
||||
.setCommitment(ByteString.copyFrom(zpstar.add(commitments[k],commitments2[k]).toByteArray()))
|
||||
.build();
|
||||
}
|
||||
return commitmentMessages;
|
||||
}
|
||||
|
||||
@Override
|
||||
protected void answerComplaint(int j) {
|
||||
DKGMessages.SecretMessage secretMessage1 = DKGMessages.SecretMessage.newBuilder()
|
||||
.setSecret(getShare(j).asMessage())
|
||||
.build();
|
||||
DKGMessages.SecretMessage secretMessage2 = DKGMessages.SecretMessage.newBuilder()
|
||||
.setSecret(verifiableSecretSharing.getShare(j).asMessage())
|
||||
.build();
|
||||
|
||||
user.broadcast(DKGMessages.Mail.Type.SECRET, DKGMessages.DoubleSecretMessage.newBuilder()
|
||||
.setS1(secretMessage1)
|
||||
.setS2(secretMessage2)
|
||||
.build());
|
||||
}
|
||||
}
|
|
@ -0,0 +1,61 @@
|
|||
package SecureDistributedKeyGeneration;
|
||||
|
||||
import Communication.Network;
|
||||
import FeldmanVerifiableSecretSharing.VerifiableSecretSharing;
|
||||
import JointFeldmanProtocol.DistributedKeyGenerationMessageHandler;
|
||||
import ShamirSecretSharing.Polynomial;
|
||||
import ShamirSecretSharing.SecretSharingMessageHandler;
|
||||
import meerkat.protobuf.DKGMessages;
|
||||
import org.factcenter.qilin.primitives.concrete.Zpstar;
|
||||
|
||||
import java.math.BigInteger;
|
||||
|
||||
/**
|
||||
* Created by Tzlil on 2/17/2016.
|
||||
*/
|
||||
public class SecureDistributedKeyGenerationMessageHandler extends DistributedKeyGenerationMessageHandler {
|
||||
|
||||
private final SecretSharingMessageHandler[] ssHandlers;
|
||||
public SecureDistributedKeyGenerationMessageHandler(int t, int n, BigInteger g, Zpstar zpstar) {
|
||||
super(t, n, g, zpstar);
|
||||
this.ssHandlers = new SecretSharingMessageHandler[n];
|
||||
}
|
||||
|
||||
private boolean isValidSecret(Polynomial.Point secret1,Polynomial.Point secret2,int i){
|
||||
int j = secret1.x.intValue();
|
||||
BigInteger[] commitments = vssHandlers[i - 1].getCommitments();
|
||||
return zpstar.multiply(g,zpstar.add(secret1.y,secret2.y)).equals(VerifiableSecretSharing.verify(j,commitments,zpstar));
|
||||
}
|
||||
|
||||
@Override
|
||||
protected boolean isValidSecret(int i) {
|
||||
return isValidSecret(getShare(i),ssHandlers[i - 1].getShare(),i);
|
||||
}
|
||||
|
||||
|
||||
@Override
|
||||
public void handelDoubleSecretMessage(int sender, boolean isBroadcast, DKGMessages.DoubleSecretMessage doubleSecretMessage) {
|
||||
if(!isBroadcast){
|
||||
this.handelSecretMessage(sender,isBroadcast,doubleSecretMessage.getS1());
|
||||
ssHandlers[sender - 1].handelSecretMessage(sender,isBroadcast,doubleSecretMessage.getS2());
|
||||
}else{
|
||||
Polynomial.Point secret1 = SecretSharingMessageHandler.extractSecret(doubleSecretMessage.getS1());
|
||||
Polynomial.Point secret2 = SecretSharingMessageHandler.extractSecret(doubleSecretMessage.getS2());
|
||||
int i = sender;
|
||||
int j = secret1.x.intValue();
|
||||
switch (complainStates[i - 1][j - 1]){
|
||||
case Waiting:
|
||||
if(isValidSecret(secret1,secret2,i)){
|
||||
complainStates[i - 1][j - 1] = ComplainState.NonDisqualified;
|
||||
}else{
|
||||
complainStates[i - 1][j - 1] = ComplainState.Disqualified;
|
||||
}
|
||||
break;
|
||||
default:
|
||||
break;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
}
|
|
@ -1,4 +1,4 @@
|
|||
package FeldmanVerifiableSecretSharing.ShamirSecretSharing;
|
||||
package ShamirSecretSharing;
|
||||
|
||||
import java.math.BigInteger;
|
||||
|
|
@ -1,4 +1,4 @@
|
|||
package FeldmanVerifiableSecretSharing.ShamirSecretSharing;
|
||||
package ShamirSecretSharing;
|
||||
|
||||
import com.google.protobuf.ByteString;
|
||||
import meerkat.protobuf.DKGMessages;
|
||||
|
@ -9,8 +9,8 @@ import java.math.BigInteger;
|
|||
* Created by Tzlil on 1/27/2016.
|
||||
*/
|
||||
public class Polynomial implements Comparable<Polynomial> {
|
||||
protected static final Polynomial ZERO = new Polynomial(new BigInteger[]{BigInteger.ZERO}); // neutral for add
|
||||
protected static final Polynomial ONE = new Polynomial(new BigInteger[]{BigInteger.ONE}); // neutral for mul
|
||||
public static final Polynomial ZERO = new Polynomial(new BigInteger[]{BigInteger.ZERO}); // neutral for add
|
||||
public static final Polynomial ONE = new Polynomial(new BigInteger[]{BigInteger.ONE}); // neutral for mul
|
||||
private final int degree;
|
||||
private final BigInteger[] coefficients;
|
||||
|
||||
|
@ -45,7 +45,7 @@ public class Polynomial implements Comparable<Polynomial> {
|
|||
|
||||
@Override
|
||||
public String toString() {
|
||||
return "FeldmanVerifiableSecretSharing.ShamirSecretSharing.PolynomialTests{" +
|
||||
return "ShamirSecretSharing.PolynomialTests{" +
|
||||
"degree=" + degree +
|
||||
", coefficients=" + java.util.Arrays.toString(coefficients) +
|
||||
'}';
|
||||
|
@ -101,7 +101,7 @@ public class Polynomial implements Comparable<Polynomial> {
|
|||
|
||||
/**
|
||||
* @param other
|
||||
* @return new FeldmanVerifiableSecretSharing.ShamirSecretSharing.PolynomialTests of degree max(this degree,other degree) s.t for all x in Z
|
||||
* @return new ShamirSecretSharing.PolynomialTests of degree max(this degree,other degree) s.t for all x in Z
|
||||
* new.image(x) = this.image(x) + other.image(x)
|
||||
*/
|
||||
public Polynomial add(Polynomial other){
|
||||
|
@ -123,7 +123,7 @@ public class Polynomial implements Comparable<Polynomial> {
|
|||
|
||||
/**
|
||||
* @param constant
|
||||
* @return new FeldmanVerifiableSecretSharing.ShamirSecretSharing.PolynomialTests of degree this.degree s.t for all x in Z
|
||||
* @return new ShamirSecretSharing.PolynomialTests of degree this.degree s.t for all x in Z
|
||||
* new.image(x) = constant * this.image(x)
|
||||
*/
|
||||
public Polynomial mul(BigInteger constant){
|
||||
|
@ -138,7 +138,7 @@ public class Polynomial implements Comparable<Polynomial> {
|
|||
|
||||
/**
|
||||
* @param other
|
||||
* @return new FeldmanVerifiableSecretSharing.ShamirSecretSharing.PolynomialTests of degree this degree + other degree + 1 s.t for all x in Z
|
||||
* @return new ShamirSecretSharing.PolynomialTests of degree this degree + other degree + 1 s.t for all x in Z
|
||||
* new.image(x) = this.image(x) * other.image(x)
|
||||
*/
|
||||
public Polynomial mul(Polynomial other){
|
|
@ -1,6 +1,10 @@
|
|||
package FeldmanVerifiableSecretSharing.ShamirSecretSharing;
|
||||
package ShamirSecretSharing;
|
||||
|
||||
|
||||
import Communication.Network;
|
||||
import Communication.User;
|
||||
import meerkat.protobuf.DKGMessages;
|
||||
|
||||
import java.math.BigInteger;
|
||||
import java.util.Random;
|
||||
|
||||
|
@ -8,11 +12,12 @@ import java.util.Random;
|
|||
* Created by Tzlil on 1/27/2016.
|
||||
* an implementation of Shamire's secret sharing scheme
|
||||
*/
|
||||
public class SecretSharing {
|
||||
public class SecretSharing implements Runnable{
|
||||
protected final int t;
|
||||
protected final int n;
|
||||
protected final BigInteger q;
|
||||
|
||||
protected final User user; // send and receive messages throw network
|
||||
private final Polynomial polynomial;
|
||||
|
||||
/**
|
||||
|
@ -24,11 +29,16 @@ public class SecretSharing {
|
|||
* @param x secret, chosen from Zq
|
||||
* @param random use for generate random polynomial
|
||||
*/
|
||||
public SecretSharing(int t, int n, BigInteger x, Random random,BigInteger q) {
|
||||
public SecretSharing(int t, int n, BigInteger x, Random random, BigInteger q, Network network) {
|
||||
this(t,n,x,random,q,network.connect(new SecretSharingMessageHandler()));
|
||||
}
|
||||
|
||||
public SecretSharing(int t, int n, BigInteger x, Random random, BigInteger q, User user) {
|
||||
this.q = q;
|
||||
this.t = t;
|
||||
this.n = n;
|
||||
this.polynomial = generateRandomPolynomial(x,random);
|
||||
this.user = user;
|
||||
}
|
||||
|
||||
/**
|
||||
|
@ -53,18 +63,11 @@ public class SecretSharing {
|
|||
*
|
||||
* @return polynomial.image(i)%q
|
||||
*/
|
||||
protected final Polynomial.Point getShare(int i){
|
||||
public Polynomial.Point getShare(int i){
|
||||
assert (i > 0 && i <= n);
|
||||
return new Polynomial.Point(BigInteger.valueOf(i), polynomial, q);
|
||||
}
|
||||
|
||||
/**
|
||||
* use for test only
|
||||
*/
|
||||
public Polynomial.Point getShareForTest(int i){
|
||||
return getShare(i);
|
||||
}
|
||||
|
||||
/**
|
||||
* @param shares - subset of the original shares
|
||||
*
|
||||
|
@ -99,8 +102,31 @@ public class SecretSharing {
|
|||
return q;
|
||||
}
|
||||
|
||||
protected Polynomial getPolynomial() {
|
||||
public Polynomial getPolynomial() {
|
||||
|
||||
return polynomial;
|
||||
}
|
||||
|
||||
public DKGMessages.SecretMessage[] prepareSecretMessages(){
|
||||
DKGMessages.SecretMessage[] secretMessages = new DKGMessages.SecretMessage[n];
|
||||
for (int j = 1; j <= n ; j++ ){
|
||||
secretMessages[j - 1] = DKGMessages.SecretMessage.newBuilder()
|
||||
.setSecret(getShare(j).asMessage())
|
||||
.build();
|
||||
}
|
||||
return secretMessages;
|
||||
}
|
||||
|
||||
protected void computeAndSendSecrets(){
|
||||
DKGMessages.SecretMessage[] secretMessages = prepareSecretMessages();
|
||||
for (int j = 1; j <= n ; j++ ){
|
||||
user.send(j, DKGMessages.Mail.Type.SECRET,secretMessages[j - 1]);
|
||||
}
|
||||
}
|
||||
|
||||
@Override
|
||||
public void run() {
|
||||
// computes and sends shares
|
||||
computeAndSendSecrets();
|
||||
}
|
||||
}
|
|
@ -0,0 +1,47 @@
|
|||
package ShamirSecretSharing;
|
||||
|
||||
import Communication.MessageHandler;
|
||||
import Communication.Network;
|
||||
import meerkat.protobuf.DKGMessages;
|
||||
|
||||
/**
|
||||
* Created by Tzlil on 2/16/2016.
|
||||
*/
|
||||
public class SecretSharingMessageHandler implements MessageHandler{
|
||||
|
||||
private Polynomial.Point share;
|
||||
|
||||
@Override
|
||||
public void handelComplaintMessage(int sender, boolean isBroadcast, DKGMessages.ComplaintMessage complaintMessage) {
|
||||
// ignore
|
||||
}
|
||||
|
||||
@Override
|
||||
public void handelDoneMessage(int sender, boolean isBroadcast, DKGMessages.DoneMessage doneMessage) {
|
||||
// ignore
|
||||
}
|
||||
|
||||
@Override
|
||||
public void handelCommitmentMessage(int sender, boolean isBroadcast, DKGMessages.CommitmentMessage commitmentMessage) {
|
||||
// ignore
|
||||
}
|
||||
|
||||
@Override
|
||||
public void handelDoubleSecretMessage(int sender, boolean isBroadcast, DKGMessages.DoubleSecretMessage doubleSecretMessage) {
|
||||
// ignore
|
||||
}
|
||||
|
||||
@Override
|
||||
public void handelSecretMessage(int sender, boolean isBroadcast, DKGMessages.SecretMessage secretMessage) {
|
||||
if(!isBroadcast)
|
||||
this.share = extractSecret(secretMessage);
|
||||
}
|
||||
|
||||
public static Polynomial.Point extractSecret(DKGMessages.SecretMessage secretMessage){
|
||||
return new Polynomial.Point(secretMessage.getSecret());
|
||||
}
|
||||
|
||||
public Polynomial.Point getShare() {
|
||||
return share;
|
||||
}
|
||||
}
|
|
@ -1,6 +1,7 @@
|
|||
package FeldmanVerifiableSecretSharing;
|
||||
|
||||
import FeldmanVerifiableSecretSharing.ShamirSecretSharing.Polynomial;
|
||||
import Communication.Network;
|
||||
import ShamirSecretSharing.Polynomial;
|
||||
import org.factcenter.qilin.primitives.concrete.Zpstar;
|
||||
import org.junit.Before;
|
||||
import org.junit.Test;
|
||||
|
@ -31,11 +32,12 @@ public class VerifiableSecretSharingTest {
|
|||
}while (!g.equals(ZERO) && !zpstar.multiply(g,q).equals(ZERO));// sample from QRZp*
|
||||
int t = 8;
|
||||
int n = 20;
|
||||
|
||||
Network network;
|
||||
verifiableSecretSharingArray = new VerifiableSecretSharing[tests];
|
||||
for (int i = 0; i < verifiableSecretSharingArray.length; i++){
|
||||
network = new Network(n);
|
||||
verifiableSecretSharingArray[i] = new VerifiableSecretSharing(t,n
|
||||
,new BigInteger(q.bitLength(),random).mod(q),random,p,q,g);
|
||||
,new BigInteger(q.bitLength(),random).mod(q),random,p,q,g,network);
|
||||
}
|
||||
}
|
||||
|
||||
|
@ -47,7 +49,7 @@ public class VerifiableSecretSharingTest {
|
|||
BigInteger[] commitments = verifiableSecretSharing.getCommitments();
|
||||
BigInteger[] verifications = new BigInteger[n];
|
||||
for (int i = 1 ; i <= shares.length; i ++){
|
||||
shares[i - 1] = verifiableSecretSharing.getShareForTest(i);
|
||||
shares[i - 1] = verifiableSecretSharing.getShare(i);
|
||||
verifications[i - 1] = VerifiableSecretSharing.verify(i,commitments,zpstar);
|
||||
}
|
||||
BigInteger expected;
|
||||
|
|
|
@ -1,10 +1,16 @@
|
|||
package JointFeldmanProtocol;
|
||||
|
||||
import Communication.Network;
|
||||
import ShamirSecretSharing.Polynomial;
|
||||
import ShamirSecretSharing.SecretSharing;
|
||||
import FeldmanVerifiableSecretSharing.VerifiableSecretSharing;
|
||||
import org.factcenter.qilin.primitives.concrete.Zpstar;
|
||||
import org.junit.Before;
|
||||
import org.junit.Test;
|
||||
|
||||
import java.math.BigInteger;
|
||||
import java.util.ArrayList;
|
||||
import java.util.List;
|
||||
import java.util.Random;
|
||||
|
||||
/**
|
||||
|
@ -13,45 +19,98 @@ import java.util.Random;
|
|||
public class DKGTest {
|
||||
|
||||
|
||||
DKG[] dkgs;
|
||||
Thread[] threads;
|
||||
int tests = 1 << 10;
|
||||
Random random;
|
||||
|
||||
@Before
|
||||
public void settings(){
|
||||
DistributedKeyGeneration[][] dkgsArrays;
|
||||
Thread[][] threadsArrays;
|
||||
int tests = 10;
|
||||
BigInteger p = BigInteger.valueOf(2903);
|
||||
BigInteger q = p.subtract(BigInteger.ONE).divide(BigInteger.valueOf(2));
|
||||
BigInteger[] secrets;
|
||||
@Before
|
||||
public void settings(){
|
||||
Zpstar zpstar = new Zpstar(p);
|
||||
random = new Random();
|
||||
Random random = new Random();
|
||||
BigInteger g;
|
||||
int t = 9;
|
||||
int n = 20;
|
||||
BigInteger ZERO = zpstar.zero();
|
||||
do{
|
||||
dkgsArrays = new DistributedKeyGeneration[tests][n];
|
||||
threadsArrays = new Thread[tests][n];
|
||||
secrets = new BigInteger[tests];
|
||||
for (int test = 0; test < tests; test++) {
|
||||
do {
|
||||
g = zpstar.sample(random);
|
||||
}while (!g.equals(ZERO) && !zpstar.multiply(g,q).equals(ZERO));// sample from QRZp*
|
||||
int t = 8;
|
||||
int n = 20
|
||||
;
|
||||
} while (!g.equals(ZERO) && !zpstar.multiply(g, q).equals(ZERO));// sample from QRZp*
|
||||
secrets[test] = BigInteger.ZERO;
|
||||
Network network = new Network(n);
|
||||
dkgs = new DKG[n];
|
||||
threads = new Thread[n];
|
||||
for (int i = 0 ; i < n ; i++) {
|
||||
dkgs[i] = new DKG(t, n, new BigInteger(q.bitLength(), random).mod(q), random, p, q, g, network);
|
||||
threads[i] = new Thread(dkgs[i]);
|
||||
for (int i = 0; i < n; i++) {
|
||||
BigInteger secret = new BigInteger(q.bitLength(), random).mod(q);
|
||||
secrets[test] = secrets[test].add(secret).mod(q);
|
||||
dkgsArrays[test][i] = new DistributedKeyGeneration(t, n,secret, random, p, q, g, network);
|
||||
threadsArrays[test][i] = new Thread(dkgsArrays[test][i]);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
@Test
|
||||
public void DKGTest() throws Exception {
|
||||
for (int i = 0 ; i < threads.length ; i++){
|
||||
public void oneTest(Thread[] threads, DistributedKeyGeneration[] dkgs,BigInteger secret) throws Exception {
|
||||
for (int i = 0; i < threads.length ; i++){
|
||||
threads[i].start();
|
||||
}
|
||||
for (int i = 0 ; i < threads.length ; i++){
|
||||
for (int i = 0; i < threads.length ; i++){
|
||||
threads[i].join();
|
||||
}
|
||||
int t = dkgs[0].getT();
|
||||
int n = dkgs[0].getN();
|
||||
|
||||
Zpstar zpstar = dkgs[0].getZpstar();
|
||||
BigInteger g = dkgs[0].getGenerator();
|
||||
|
||||
// got the right public value
|
||||
assert(zpstar.multiply(g,secret).equals(dkgs[0].getY()));
|
||||
|
||||
// assert all players agreed on the same public value
|
||||
for (int i = 0; i < dkgs.length - 1 ; i++){
|
||||
assert (dkgs[i].getY().equals(dkgs[i+1].getY()));
|
||||
}
|
||||
|
||||
// assert valid verification values
|
||||
BigInteger expected,verification;
|
||||
for (int j = 1; j <= dkgs.length ; j++){
|
||||
expected = zpstar.multiply(g, dkgs[j - 1].getShare().y);
|
||||
verification = VerifiableSecretSharing.verify(j, dkgs[j - 1].getCommitments(),zpstar);
|
||||
assert (expected.equals(verification));
|
||||
}
|
||||
|
||||
|
||||
// restore the secret from t + 1 random shares
|
||||
Polynomial.Point[] shares = new Polynomial.Point[t + 1];
|
||||
for (int i = 0 ; i < shares.length; i++){
|
||||
shares[i] = dkgs[i].getShare();
|
||||
}
|
||||
//List<Integer> indexes = new ArrayList<Integer>(n);
|
||||
//for (int i = 1 ; i <= n; i ++){
|
||||
// indexes.add(i);
|
||||
//}
|
||||
//Random random = new Random();
|
||||
//int index;
|
||||
//for (int i = 0 ; i < shares.length ; i++){
|
||||
// index = indexes.remove(random.nextInt(indexes.size()));
|
||||
// shares[i] = dkgs[index - 1].getShare();
|
||||
//}
|
||||
BigInteger calculatedSecret = SecretSharing.getSecrete(shares).mod(q);
|
||||
|
||||
Polynomial polynomial = Polynomial.ZERO;
|
||||
for (int i = 0 ; i < dkgs.length ; i++){
|
||||
polynomial = polynomial.add(dkgs[i].getPolynomial());
|
||||
}
|
||||
|
||||
assert (calculatedSecret.equals(secret));
|
||||
|
||||
}
|
||||
|
||||
@Test
|
||||
public void secretSharingTest() throws Exception {
|
||||
for (int i = 0 ; i < dkgsArrays.length; i ++){
|
||||
oneTest(threadsArrays[i],dkgsArrays[i],secrets[i]);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
|
|
@ -1,5 +1,5 @@
|
|||
package FeldmanVerifiableSecretSharing.ShamirSecretSharing.PolynomialTests;
|
||||
import FeldmanVerifiableSecretSharing.ShamirSecretSharing.Polynomial;
|
||||
package ShamirSecretSharing.PolynomialTests;
|
||||
import ShamirSecretSharing.Polynomial;
|
||||
import org.junit.Before;
|
||||
import org.junit.Test;
|
||||
|
|
@ -1,6 +1,6 @@
|
|||
package FeldmanVerifiableSecretSharing.ShamirSecretSharing.PolynomialTests;
|
||||
package ShamirSecretSharing.PolynomialTests;
|
||||
|
||||
import FeldmanVerifiableSecretSharing.ShamirSecretSharing.Polynomial;
|
||||
import ShamirSecretSharing.Polynomial;
|
||||
import org.junit.Before;
|
||||
import org.junit.Test;
|
||||
|
|
@ -1,6 +1,6 @@
|
|||
package FeldmanVerifiableSecretSharing.ShamirSecretSharing.PolynomialTests;
|
||||
package ShamirSecretSharing.PolynomialTests;
|
||||
|
||||
import FeldmanVerifiableSecretSharing.ShamirSecretSharing.Polynomial;
|
||||
import ShamirSecretSharing.Polynomial;
|
||||
import org.junit.Before;
|
||||
import org.junit.Test;
|
||||
|
|
@ -1,6 +1,6 @@
|
|||
package FeldmanVerifiableSecretSharing.ShamirSecretSharing.PolynomialTests;
|
||||
package ShamirSecretSharing.PolynomialTests;
|
||||
|
||||
import FeldmanVerifiableSecretSharing.ShamirSecretSharing.Polynomial;
|
||||
import ShamirSecretSharing.Polynomial;
|
||||
import org.junit.Before;
|
||||
import org.junit.Test;
|
||||
|
|
@ -1,6 +1,6 @@
|
|||
package FeldmanVerifiableSecretSharing.ShamirSecretSharing.PolynomialTests;
|
||||
package ShamirSecretSharing.PolynomialTests;
|
||||
|
||||
import FeldmanVerifiableSecretSharing.ShamirSecretSharing.Polynomial;
|
||||
import ShamirSecretSharing.Polynomial;
|
||||
|
||||
import java.math.BigInteger;
|
||||
import java.util.Random;
|
|
@ -1,6 +1,7 @@
|
|||
package FeldmanVerifiableSecretSharing.ShamirSecretSharing;
|
||||
package ShamirSecretSharing;
|
||||
|
||||
import FeldmanVerifiableSecretSharing.ShamirSecretSharing.PolynomialTests.Utils;
|
||||
import Communication.Network;
|
||||
import Communication.User;
|
||||
import org.factcenter.qilin.primitives.CyclicGroup;
|
||||
import org.factcenter.qilin.primitives.concrete.Zn;
|
||||
import org.junit.Before;
|
||||
|
@ -26,14 +27,17 @@ public class SecretSharingTest {
|
|||
public void settings(){
|
||||
BigInteger p = BigInteger.valueOf(2903);
|
||||
group = new Zn(p);
|
||||
int t = 10;
|
||||
int t = 9;
|
||||
int n = 20;
|
||||
random = new Random();
|
||||
secretSharingArray = new SecretSharing[tests];
|
||||
secrets = new BigInteger[tests];
|
||||
Network network;
|
||||
|
||||
for (int i = 0; i < secretSharingArray.length; i++){
|
||||
secrets[i] = group.sample(random);
|
||||
secretSharingArray[i] = new SecretSharing(t,n,secrets[i],random,p);
|
||||
network = new Network(n);
|
||||
secretSharingArray[i] = new SecretSharing(t,n,secrets[i],random,p,network);
|
||||
}
|
||||
}
|
||||
|
|
@ -8,7 +8,7 @@ message Mail{
|
|||
enum Type {
|
||||
SECRET = 0;
|
||||
COMMITMENT = 1;
|
||||
Y = 2;
|
||||
DONE = 2;
|
||||
COMPLAINT = 3;
|
||||
}
|
||||
int32 sender = 1;
|
||||
|
@ -26,14 +26,17 @@ message SecretMessage {
|
|||
Point secret = 1;
|
||||
}
|
||||
|
||||
message DoubleSecretMessage{
|
||||
SecretMessage s1 = 1;
|
||||
SecretMessage s2 = 2;
|
||||
}
|
||||
|
||||
message CommitmentMessage{
|
||||
int32 k = 1;
|
||||
bytes commitment = 2;
|
||||
}
|
||||
|
||||
message YMessage{
|
||||
bytes y = 1;
|
||||
}
|
||||
message DoneMessage{}
|
||||
|
||||
message ComplaintMessage{
|
||||
int32 id = 1;
|
||||
|
|
Loading…
Reference in New Issue