j-bitcoin
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Comprehensive JavaScript/TypeScript Bitcoin (BTC) wallet library with custodial and non-custodial support, hierarchical deterministic keys, threshold signatures, and advanced cryptographic features
352 lines (279 loc) • 43.3 kB
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<title>src/core/crypto/signatures/threshold/jvrss.js - J-Bitcoin - Bitcoin Wallet Library</title>
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<h2><a href="index.html">Home</a></h2><h2><a href="https://github.com/yfbsei/J-Bitcoin" target="_blank" class="menu-item home-link" id="home-link" >🏠 Home</a></h2><h2><a href="https://github.com/yfbsei/J-Bitcoin" target="_blank" class="menu-item github-link" id="github-link" >📚 GitHub</a></h2><h2><a href="https://www.npmjs.com/package/j-bitcoin" target="_blank" class="menu-item npm-link" id="npm-link" >📦 NPM</a></h2><h2><a href="https://github.com/yfbsei/J-Bitcoin/tree/main/examples" target="_blank" class="menu-item examples-link" id="examples-link" >🔧 Examples</a></h2><h2><a href="https://github.com/yfbsei/J-Bitcoin/blob/main/CHANGELOG.md" target="_blank" class="menu-item changelog-link" id="changelog-link" >📊 Changelog</a></h2><h3>Classes</h3><ul><li><a href="BIP143.html">BIP143</a><ul class='methods'><li data-type='method' style='display: none;'><a href="BIP143.html#.calculate">calculate</a></li><li data-type='method' style='display: none;'><a href="BIP143.html#.forP2WPKH">forP2WPKH</a></li><li data-type='method' style='display: none;'><a href="BIP143.html#.hashOutputs">hashOutputs</a></li><li data-type='method' style='display: none;'><a href="BIP143.html#.hashPrevouts">hashPrevouts</a></li><li data-type='method' style='display: none;'><a href="BIP143.html#.hashSequence">hashSequence</a></li></ul></li><li><a href="BIP322.html">BIP322</a><ul class='methods'><li data-type='method' style='display: none;'><a href="BIP322.html#.createToSign">createToSign</a></li><li data-type='method' style='display: none;'><a href="BIP322.html#.createToSpend">createToSpend</a></li><li data-type='method' style='display: none;'><a href="BIP322.html#.hashMessage">hashMessage</a></li><li data-type='method' style='display: none;'><a href="BIP322.html#.sign">sign</a></li><li data-type='method' style='display: none;'><a href="BIP322.html#.signLegacy">signLegacy</a></li><li data-type='method' style='display: none;'><a href="BIP322.html#.verify">verify</a></li><li data-type='method' style='display: none;'><a href="BIP322.html#.verifyLegacy">verifyLegacy</a></li></ul></li><li><a href="BIP322Error.html">BIP322Error</a></li><li><a href="BIP341.html">BIP341</a><ul class='methods'><li data-type='method' style='display: none;'><a href="BIP341.html#.calculate">calculate</a></li><li data-type='method' style='display: none;'><a href="BIP341.html#.forScriptPath">forScriptPath</a></li><li data-type='method' style='display: none;'><a href="BIP341.html#.shaAmounts">shaAmounts</a></li><li data-type='method' style='display: none;'><a href="BIP341.html#.shaOutputs">shaOutputs</a></li><li data-type='method' style='display: none;'><a href="BIP341.html#.shaPrevouts">shaPrevouts</a></li><li data-type='method' style='display: none;'><a href="BIP341.html#.shaScriptPubkeys">shaScriptPubkeys</a></li><li data-type='method' style='display: none;'><a href="BIP341.html#.shaSequences">shaSequences</a></li></ul></li><li><a href="BIP49.html">BIP49</a><ul class='methods'><li data-type='method' style='display: none;'><a href="BIP49.html#.createRedeemScript">createRedeemScript</a></li><li data-type='method' style='display: none;'><a href="BIP49.html#.createScriptPubKey">createScriptPubKey</a></li><li data-type='method' style='display: none;'><a href="BIP49.html#.getAccountPath">getAccountPath</a></li><li data-type='method' style='display: none;'><a href="BIP49.html#.getDerivationPath">getDerivationPath</a></li><li data-type='method' style='display: none;'><a href="BIP49.html#.toAddress">toAddress</a></li></ul></li><li><a href="CustodialWallet.html">CustodialWallet</a><ul class='methods'><li data-type='method' style='display: none;'><a href="CustodialWallet.html#canSign">canSign</a></li><li data-type='method' style='display: none;'><a href="CustodialWallet.html#clearCache">clearCache</a></li><li data-type='method' style='display: none;'><a href="CustodialWallet.html#createTransaction">createTransaction</a></li><li data-type='method' style='display: none;'><a href="CustodialWallet.html#deriveAddress">deriveAddress</a></li><li data-type='method' style='display: none;'><a href="CustodialWallet.html#destroy">destroy</a></li><li data-type='method' style='display: none;'><a href="CustodialWallet.html#exportWIF">exportWIF</a></li><li data-type='method' style='display: none;'><a href="CustodialWallet.html#getAddresses">getAddresses</a></li><li data-type='method' style='display: none;'><a href="CustodialWallet.html#getChangeAddress">getChangeAddress</a></li><li data-type='method' style='display: none;'><a href="CustodialWallet.html#getExtendedPrivateKey">getExtendedPrivateKey</a></li><li data-type='method' style='display: none;'><a href="CustodialWallet.html#getExtendedPublicKey">getExtendedPublicKey</a></li><li data-type='method' style='display: none;'><a href="CustodialWallet.html#getMnemonic">getMnemonic</a></li><li data-type='method' style='display: none;'><a href="CustodialWallet.html#getNetwork">getNetwork</a></li><li data-type='method' style='display: none;'><a href="CustodialWallet.html#getReceivingAddress">getReceivingAddress</a></li><li data-type='method' style='display: none;'><a href="CustodialWallet.html#signMessage">signMessage</a></li><li data-type='method' style='display: none;'><a href="CustodialWallet.html#signMessageBIP322">signMessageBIP322</a></li><li data-type='method' style='display: none;'><a href="CustodialWallet.html#signTransaction">signTransaction</a></li><li data-type='method' style='display: none;'><a href="CustodialWallet.html#toJSON">toJSON</a></li><li data-type='method' style='display: none;'><a href="CustodialWallet.html#verifyMessage">verifyMessage</a></li><li data-type='method' style='display: none;'><a href="CustodialWallet.html#.createNew">createNew</a></li><li data-type='method' style='display: none;'><a href="CustodialWallet.html#.fromExtendedKey">fromExtendedKey</a></li><li data-type='method' style='display: none;'><a href="CustodialWallet.html#.fromMnemonic">fromMnemonic</a></li><li data-type='method' style='display: none;'><a href="CustodialWallet.html#.fromSeed">fromSeed</a></li><li data-type='method' style='display: none;'><a href="CustodialWallet.html#.fromWIF">fromWIF</a></li></ul></li><li></li><li><a href="CustodialWalletError.html">CustodialWalletError</a></li><li></li><li><a href="DecodingError.html">DecodingError</a></li><li><a href="ECDSAError.html">ECDSAError</a></li><li></li><li><a href="EncodingError.html">EncodingError</a></li><li><a href="JVRSS.html">JVRSS</a><ul class='methods'><li data-type='method' style='display: none;'><a href="JVRSS.html#broadcastObfuscatedCoefficients">broadcastObfuscatedCoefficients</a></li><li data-type='method' style='display: none;'><a href="JVRSS.html#calculateSharedPublicKey">calculateSharedPublicKey</a></li><li data-type='method' style='display: none;'><a href="JVRSS.html#calculateShares">calculateShares</a></li><li data-type='method' style='display: none;'><a href="JVRSS.html#clear">clear</a></li><li data-type='method' style='display: none;'><a href="JVRSS.html#distributePolynomialPoints">distributePolynomialPoints</a></li><li data-type='method' style='display: none;'><a href="JVRSS.html#generatePolynomials">generatePolynomials</a></li><li data-type='method' style='display: none;'><a href="JVRSS.html#getParticipant">getParticipant</a></li><li data-type='method' style='display: none;'><a href="JVRSS.html#getSharesForInterpolation">getSharesForInterpolation</a></li><li data-type='method' style='display: none;'><a href="JVRSS.html#reconstructSecret">reconstructSecret</a></li><li data-type='method' style='display: none;'><a href="JVRSS.html#runProtocol">runProtocol</a></li><li data-type='method' style='display: none;'><a href="JVRSS.html#verifyAllShares">verifyAllShares</a></li></ul></li><li><a href="JVRSSError.html">JVRSSError</a></li><li><a href="LegacySighash.html">LegacySighash</a><ul class='methods'><li data-type='method' style='display: none;'><a href="LegacySighash.html#.calculate">calculate</a></li></ul></li><li><a href="MPCError.html">MPCError</a></li><li><a href="NonCustodialWallet.html">NonCustodialWallet</a><ul class='methods'><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#_exportShares">_exportShares</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#_reconstructPublicKey">_reconstructPublicKey</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#canSign">canSign</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#canSignHD">canSignHD</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#clear">clear</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#clearAddressCache">clearAddressCache</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#createTransaction">createTransaction</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#deriveAddress">deriveAddress</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#destroy">destroy</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#exportShares">exportShares</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#exportWIF">exportWIF</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#generateEphemeralKeys">generateEphemeralKeys</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#getAddress">getAddress</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#getAddressCount">getAddressCount</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#getAddresses">getAddresses</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#getChangeAddress">getChangeAddress</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#getExtendedPrivateKey">getExtendedPrivateKey</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#getExtendedPublicKey">getExtendedPublicKey</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#getMnemonic">getMnemonic</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#getNetwork">getNetwork</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#getPublicKey">getPublicKey</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#getReceivingAddress">getReceivingAddress</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#getShare">getShare</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#getShares">getShares</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#getThresholdConfig">getThresholdConfig</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#hasHD">hasHD</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#initialize">initialize</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#listAddresses">listAddresses</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#sign">sign</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#signMessage">signMessage</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#signMessageBIP322">signMessageBIP322</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#signMessageHD">signMessageHD</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#signTransaction">signTransaction</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#toJSON">toJSON</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#verify">verify</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#verifyMessageHD">verifyMessageHD</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#.createNew">createNew</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#.createNewHD">createNewHD</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#.fromExtendedKey">fromExtendedKey</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#.fromMnemonic">fromMnemonic</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#.fromSeed">fromSeed</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#.fromShares">fromShares</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#.fromWIF">fromWIF</a></li><li data-type='method' style='display: none;'><a href="NonCustodialWallet.html#.importShares">importShares</a></li></ul></li><li><a href="Participant.html">Participant</a><ul class='methods'><li data-type='method' style='display: none;'><a href="Participant.html#calculateKeyShare">calculateKeyShare</a></li><li data-type='method' style='display: none;'><a href="Participant.html#clear">clear</a></li><li data-type='method' style='display: none;'><a href="Participant.html#evaluateAt">evaluateAt</a></li><li data-type='method' style='display: none;'><a href="Participant.html#generatePolynomial">generatePolynomial</a></li><li data-type='method' style='display: none;'><a href="Participant.html#generateSignatureShare">generateSignatureShare</a></li><li data-type='method' style='display: none;'><a href="Participant.html#getBlindingShare">getBlindingShare</a></li><li data-type='method' style='display: none;'><a href="Participant.html#getKeyShare">getKeyShare</a></li><li data-type='method' style='display: none;'><a href="Participant.html#getKeySharePublicKey">getKeySharePublicKey</a></li><li data-type='method' style='display: none;'><a href="Participant.html#getNextEphemeralKey">getNextEphemeralKey</a></li><li data-type='method' style='display: none;'><a href="Participant.html#getObfuscatedCoefficients">getObfuscatedCoefficients</a></li><li data-type='method' style='display: none;'><a href="Participant.html#getPolynomialPointFor">getPolynomialPointFor</a></li><li data-type='method' style='display: none;'><a href="Participant.html#receivePolynomialPoint">receivePolynomialPoint</a></li><li data-type='method' style='display: none;'><a href="Participant.html#setBlindingShare">setBlindingShare</a></li><li data-type='method' style='display: none;'><a href="Participant.html#storeEphemeralKey">storeEphemeralKey</a></li><li data-type='method' style='display: none;'><a href="Participant.html#verifyPolynomialPoint">verifyPolynomialPoint</a></li></ul></li><li><a href="ParticipantError.html">ParticipantError</a></li><li><a href="ParticipantShare.html">ParticipantShare</a></li><li><a href="Polynomial.html">Polynomial</a><ul class='methods'><li data-type='method' style='display: none;'><a href="Polynomial.html#clear">clear</a></li><li data-type='method' style='display: none;'><a href="Polynomial.html#evaluate">evaluate</a></li><li data-type='method' style='display: none;'><a href="Polynomial.html#generateShares">generateShares</a></li><li data-type='method' style='display: none;'><a href="Polynomial.html#getCoefficients">getCoefficients</a></li><li data-type='method' style='display: none;'><a href="Polynomial.html#getSecret">getSecret</a></li><li data-type='method' style='display: none;'><a href="Polynomial.html#.interpolate">interpolate</a></li><li data-type='method' style='display: none;'><a href="Polynomial.html#.lagrangeCoefficient">lagrangeCoefficient</a></li><li data-type='method' style='display: none;'><a href="Polynomial.html#.reconstructSecret">reconstructSecret</a></li></ul></li><li><a href="PolynomialError.html">PolynomialError</a></li><li><a href="Schnorr.html">Schnorr</a><ul class='methods'><li data-type='method' style='display: none;'><a href="Schnorr.html#sign">sign</a></li></ul></li><li><a href="SchnorrError.html">SchnorrError</a></li><li></li><li><a href="ScriptBuilder.html">ScriptBuilder</a><ul class='methods'><li data-type='method' style='display: none;'><a href="ScriptBuilder.html#addOp">addOp</a></li><li data-type='method' style='display: none;'><a href="ScriptBuilder.html#build">build</a></li><li data-type='method' style='display: none;'><a href="ScriptBuilder.html#pushData">pushData</a></li><li data-type='method' style='display: none;'><a href="ScriptBuilder.html#pushNumber">pushNumber</a></li><li data-type='method' style='display: none;'><a href="ScriptBuilder.html#reset">reset</a></li><li data-type='method' style='display: none;'><a href="ScriptBuilder.html#.createCLTV">createCLTV</a></li><li data-type='method' style='display: none;'><a href="ScriptBuilder.html#.createCSV">createCSV</a></li><li data-type='method' style='display: none;'><a href="ScriptBuilder.html#.createMultisig">createMultisig</a></li><li data-type='method' style='display: none;'><a href="ScriptBuilder.html#.createOpReturn">createOpReturn</a></li><li data-type='method' style='display: none;'><a href="ScriptBuilder.html#.createP2PKH">createP2PKH</a></li><li data-type='method' style='display: none;'><a href="ScriptBuilder.html#.createP2PKHFromPubkey">createP2PKHFromPubkey</a></li><li data-type='method' style='display: none;'><a href="ScriptBuilder.html#.createP2PKHScriptSig">createP2PKHScriptSig</a></li><li data-type='method' style='display: none;'><a href="ScriptBuilder.html#.createP2SH">createP2SH</a></li><li data-type='method' style='display: none;'><a href="ScriptBuilder.html#.createP2SHScriptSig">createP2SHScriptSig</a></li><li data-type='method' style='display: none;'><a href="ScriptBuilder.html#.createP2TR">createP2TR</a></li><li data-type='method' style='display: none;'><a href="ScriptBuilder.html#.createP2WPKH">createP2WPKH</a></li><li data-type='method' style='display: none;'><a href="ScriptBuilder.html#.createP2WPKHFromPubkey">createP2WPKHFromPubkey</a></li><li data-type='method' style='display: none;'><a href="ScriptBuilder.html#.createP2WSH">createP2WSH</a></li><li data-type='method' style='display: none;'><a href="ScriptBuilder.html#.detectType">detectType</a></li><li data-type='method' style='display: none;'><a href="ScriptBuilder.html#.disassemble">disassemble</a></li><li data-type='method' style='display: none;'><a href="ScriptBuilder.html#.parse">parse</a></li></ul></li><li><a href="ScriptError.html">ScriptError</a></li><li><a href="SighashCalculator.html">SighashCalculator</a><ul class='methods'><li data-type='method' style='display: none;'><a href="SighashCalculator.html#.calculate">calculate</a></li></ul></li><li><a href="SighashError.html">SighashError</a></li><li><a href="TaggedHash.html">TaggedHash</a><ul class='methods'><li data-type='method' style='display: none;'><a href="TaggedHash.html#.create">create</a></li></ul></li><li><a href="ThresholdSignatureError.html">ThresholdSignatureError</a></li><li><a href="ThresholdSignatureScheme.html">ThresholdSignatureScheme</a><ul class='methods'><li data-type='method' style='display: none;'><a href="ThresholdSignatureScheme.html#clear">clear</a></li><li data-type='method' style='display: none;'><a href="ThresholdSignatureScheme.html#generateEphemeralKeys">generateEphemeralKeys</a></li><li data-type='method' style='display: none;'><a href="ThresholdSignatureScheme.html#generateSharedPrivateKey">generateSharedPrivateKey</a></li><li data-type='method' style='display: none;'><a href="ThresholdSignatureScheme.html#getConfig">getConfig</a></li><li data-type='method' style='display: none;'><a href="ThresholdSignatureScheme.html#getNextEphemeralKey">getNextEphemeralKey</a></li><li data-type='method' style='display: none;'><a href="ThresholdSignatureScheme.html#getPublicKey">getPublicKey</a></li><li data-type='method' style='display: none;'><a href="ThresholdSignatureScheme.html#sign">sign</a></li><li data-type='method' style='display: none;'><a href="ThresholdSignatureScheme.html#signMessage">signMessage</a></li><li data-type='method' style='display: none;'><a href="ThresholdSignatureScheme.html#verify">verify</a></li></ul></li><li><a href="TransactionBuilder.html">TransactionBuilder</a><ul class='methods'><li data-type='method' style='display: none;'><a href="TransactionBuilder.html#addInput">addInput</a></li><li data-type='method' style='display: none;'><a href="TransactionBuilder.html#addOpReturn">addOpReturn</a></li><li data-type='method' style='display: none;'><a href="TransactionBuilder.html#addOutput">addOutput</a></li><li data-type='method' style='display: none;'><a href="TransactionBuilder.html#addWitness">addWitness</a></li><li data-type='method' style='display: none;'><a href="TransactionBuilder.html#build">build</a></li><li data-type='method' style='display: none;'><a href="TransactionBuilder.html#calculateFee">calculateFee</a></li><li data-type='method' style='display: none;'><a href="TransactionBuilder.html#clone">clone</a></li><li data-type='method' style='display: none;'><a href="TransactionBuilder.html#enableRBF">enableRBF</a></li><li data-type='method' style='display: none;'><a 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<h1 class="page-title">src/core/crypto/signatures/threshold/jvrss.js</h1>
<section>
<article>
<pre class="prettyprint source linenums"><code>/**
* @fileoverview Joint Verifiable Random Secret Sharing (JVRSS) implementation
* @description Implements the JVRSS protocol from Section 2.1 of the nChain whitepaper
* for distributed generation of shared secrets with Feldman verification.
* @version 1.0.0
* @author yfbsei
* @license ISC
* @see Threshold-Signatures-whitepaper-nchain.pdf Section 2.1
*/
import { secp256k1 } from '@noble/curves/secp256k1';
import BN from 'bn.js';
import { Participant } from './participant.js';
import { Polynomial, CURVE_ORDER } from './polynomial.js';
/** secp256k1 generator point G */
const G = secp256k1.ProjectivePoint.BASE;
/**
* Error class for JVRSS operations
*/
class JVRSSError extends Error {
constructor(message, code, details = {}) {
super(message);
this.name = 'JVRSSError';
this.code = code;
this.details = details;
}
}
/**
* JVRSS class orchestrating the distributed key generation protocol
*/
class JVRSS {
/**
* Create a JVRSS instance
* @param {number} n - Total number of participants (N)
* @param {number} t - Threshold degree (t+1 shares needed to reconstruct)
*/
constructor(n, t) {
if (n < 2) {
throw new JVRSSError('Need at least 2 participants', 'INSUFFICIENT_PARTICIPANTS');
}
if (t < 1) {
throw new JVRSSError('Threshold must be at least 1', 'INVALID_THRESHOLD');
}
if (t >= n) {
throw new JVRSSError('Threshold must be less than number of participants', 'THRESHOLD_TOO_HIGH');
}
this.n = n;
this.t = t;
this.participants = [];
this.obfuscatedCoefficients = new Map();
this.sharedPublicKey = null;
// Create participants
for (let i = 1; i <= n; i++) {
this.participants.push(new Participant(i, t));
}
}
/**
* Get participant by index (1-indexed)
* @param {number} index - Participant index
* @returns {Participant} The participant
*/
getParticipant(index) {
return this.participants[index - 1];
}
/**
* Step 1: Each participant generates their private polynomial
*/
generatePolynomials() {
for (const participant of this.participants) {
participant.generatePolynomial();
}
}
/**
* Step 2: Distribute polynomial points securely between participants
* f_i(j) is sent from participant i to participant j
*/
distributePolynomialPoints() {
for (const sender of this.participants) {
for (const receiver of this.participants) {
if (sender.index === receiver.index) continue;
// Sender evaluates f_i(j) and sends to receiver
const point = sender.getPolynomialPointFor(receiver.index);
receiver.receivePolynomialPoint(point.fromIndex, point.value);
}
}
}
/**
* Step 3: Each participant calculates their key share
* a_i = Σ f_j(i) for all j
*/
calculateShares() {
for (const participant of this.participants) {
participant.calculateKeyShare(this.n);
}
}
/**
* Step 4: Each participant broadcasts obfuscated coefficients
* Broadcasts a_ik · G for verification
*/
broadcastObfuscatedCoefficients() {
for (const participant of this.participants) {
const coeffs = participant.getObfuscatedCoefficients();
this.obfuscatedCoefficients.set(participant.index, coeffs);
}
}
/**
* Step 5: Each participant verifies received polynomial points
* @returns {{valid: boolean, invalidPairs: Array}} Verification result
*/
verifyAllShares() {
const invalidPairs = [];
for (const verifier of this.participants) {
for (const sender of this.participants) {
if (verifier.index === sender.index) continue;
const pointValue = verifier.receivedPoints.get(sender.index);
const obfuscatedCoeffs = this.obfuscatedCoefficients.get(sender.index);
if (!verifier.verifyPolynomialPoint(sender.index, pointValue, obfuscatedCoeffs)) {
invalidPairs.push({
verifier: verifier.index,
sender: sender.index
});
}
}
}
return {
valid: invalidPairs.length === 0,
invalidPairs
};
}
/**
* Calculate the shared public key using Method 2
* a · G = Σ (a_i0 · G)
* @returns {Buffer} Shared public key (compressed)
*/
calculateSharedPublicKey() {
// Sum the zeroth-order obfuscated coefficients
let sharedPoint = null;
for (let i = 1; i <= this.n; i++) {
const coeffs = this.obfuscatedCoefficients.get(i);
const zerothCoeff = secp256k1.ProjectivePoint.fromHex(coeffs[0]);
if (sharedPoint === null) {
sharedPoint = zerothCoeff;
} else {
sharedPoint = sharedPoint.add(zerothCoeff);
}
}
this.sharedPublicKey = Buffer.from(sharedPoint.toRawBytes(true));
return this.sharedPublicKey;
}
/**
* Run the complete JVRSS protocol
* @returns {{shares: Array, publicKey: Buffer, verified: boolean}} Protocol result
*/
runProtocol() {
// Step 1: Generate polynomials
this.generatePolynomials();
// Step 2: Distribute polynomial points
this.distributePolynomialPoints();
// Step 3: Calculate key shares
this.calculateShares();
// Step 4: Broadcast obfuscated coefficients
this.broadcastObfuscatedCoefficients();
// Step 5: Verify all shares
const verification = this.verifyAllShares();
if (!verification.valid) {
throw new JVRSSError(
'Share verification failed',
'VERIFICATION_FAILED',
{ invalidPairs: verification.invalidPairs }
);
}
// Calculate shared public key
const publicKey = this.calculateSharedPublicKey();
// Collect shares
const shares = this.participants.map(p => ({
index: p.index,
keyShare: p.getKeyShare(),
publicKeyShare: p.getKeySharePublicKey()
}));
return {
shares,
publicKey,
verified: true
};
}
/**
* Get shares for interpolation (useful for product/inverse calculations)
* @returns {Array<{x: BN, y: BN}>} Array of shares in interpolation format
*/
getSharesForInterpolation() {
return this.participants.map(p => ({
x: new BN(p.index),
y: p.getKeyShare()
}));
}
/**
* Reconstruct the secret (for testing/verification only)
* WARNING: In production, the secret should never be reconstructed!
* @returns {BN} The reconstructed shared secret
*/
reconstructSecret() {
const shares = this.getSharesForInterpolation();
// Only need t+1 shares
const minShares = shares.slice(0, this.t + 1);
return Polynomial.reconstructSecret(minShares);
}
/**
* Clear all sensitive data
*/
clear() {
for (const participant of this.participants) {
participant.clear();
}
this.obfuscatedCoefficients.clear();
this.sharedPublicKey = null;
}
}
/**
* Run a standalone JVRSS protocol and return results
* Convenience function for generating a shared secret
* @param {number} n - Number of participants
* @param {number} t - Threshold
* @returns {Object} JVRSS result with shares and public key
*/
function runJVRSS(n, t) {
const jvrss = new JVRSS(n, t);
return {
...jvrss.runProtocol(),
jvrss
};
}
export { JVRSS, JVRSSError, runJVRSS };
export default JVRSS;
</code></pre>
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