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
389 lines (311 loc) • 45.4 kB
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<title>src/core/crypto/signatures/threshold/participant.js - J-Bitcoin - Bitcoin Wallet Library</title>
<meta name="description" content="JavaScript/TypeScript Bitcoin wallet library with HD wallets, threshold signatures, and BIP compliance" />
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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/participant.js</h1>
<section>
<article>
<pre class="prettyprint source linenums"><code>/**
* @fileoverview Participant class for threshold signature scheme
* @description Represents an individual participant in the TSS protocol,
* managing their private polynomial, key shares, and signature generation.
* @version 1.0.0
* @author yfbsei
* @license ISC
* @see Threshold-Signatures-whitepaper-nchain.pdf Sections 2.1, 4.3
*/
import { secp256k1 } from '@noble/curves/secp256k1';
import BN from 'bn.js';
import { Polynomial, CURVE_ORDER } from './polynomial.js';
/** secp256k1 generator point G */
const G = secp256k1.ProjectivePoint.BASE;
/**
* Error class for participant operations
*/
class ParticipantError extends Error {
constructor(message, code, details = {}) {
super(message);
this.name = 'ParticipantError';
this.code = code;
this.details = details;
}
}
/**
* Participant class representing a single party in the threshold scheme
*/
class Participant {
/**
* Create a new participant
* @param {number} index - Unique participant label i (1-indexed, must be > 0)
* @param {number} threshold - Threshold t (t+1 shares needed to reconstruct)
*/
constructor(index, threshold) {
if (index <= 0) {
throw new ParticipantError('Participant index must be positive', 'INVALID_INDEX');
}
if (threshold < 1) {
throw new ParticipantError('Threshold must be at least 1', 'INVALID_THRESHOLD');
}
this.index = index;
this.threshold = threshold;
// Private polynomial f_i(x) of degree t
this.privatePolynomial = null;
// Private key share a_i = Σ f_j(i) for all participants j
this.privateKeyShare = null;
// Blinding value share b_i for INVSS
this.blindingShare = null;
// Pre-computed ephemeral key inverse shares (r, k_i^-1)
this.ephemeralKeys = [];
// Obfuscated coefficients a_ik · G for verification
this.obfuscatedCoefficients = null;
// Received polynomial points from other participants
this.receivedPoints = new Map();
}
/**
* Step 1 of JVRSS: Generate private polynomial f_i(x) with random coefficients
* f_i(x) = a_i0 + a_i1*x + ... + a_it*x^t
* @param {BN|null} secret - Optional secret for a_i0 (typically random)
*/
generatePolynomial(secret = null) {
this.privatePolynomial = new Polynomial(this.threshold, secret);
}
/**
* Evaluate private polynomial at point x
* Used for sending f_i(j) to participant j
* @param {number} x - Evaluation point
* @returns {BN} f_i(x)
*/
evaluateAt(x) {
if (!this.privatePolynomial) {
throw new ParticipantError('Private polynomial not generated', 'NO_POLYNOMIAL');
}
return this.privatePolynomial.evaluate(x);
}
/**
* Get polynomial point to send to participant j
* @param {number} j - Target participant index
* @returns {{fromIndex: number, toIndex: number, value: BN}} Point data
*/
getPolynomialPointFor(j) {
return {
fromIndex: this.index,
toIndex: j,
value: this.evaluateAt(j)
};
}
/**
* Receive polynomial point from another participant
* Store f_j(i) where j is the sender and i is this participant
* @param {number} fromIndex - Sender participant index j
* @param {BN} value - f_j(i) value
*/
receivePolynomialPoint(fromIndex, value) {
const valueBN = value instanceof BN ? value : new BN(value);
this.receivedPoints.set(fromIndex, valueBN);
}
/**
* Step 3 of JVRSS: Calculate private key share
* a_i = Σ f_j(i) for all participants j
* @param {number} totalParticipants - Total number of participants N
*/
calculateKeyShare(totalParticipants) {
// Include our own point f_i(i)
let sum = this.evaluateAt(this.index);
// Add all received points f_j(i)
for (let j = 1; j <= totalParticipants; j++) {
if (j === this.index) continue;
const point = this.receivedPoints.get(j);
if (!point) {
throw new ParticipantError(
`Missing polynomial point from participant ${j}`,
'MISSING_POINT'
);
}
sum = sum.add(point).umod(CURVE_ORDER);
}
this.privateKeyShare = sum;
return this.privateKeyShare;
}
/**
* Step 4 of JVRSS: Get obfuscated coefficients for verification
* Returns a_ik · G for k = 0, ..., t
* @returns {Buffer[]} Array of compressed public key points
*/
getObfuscatedCoefficients() {
if (!this.privatePolynomial) {
throw new ParticipantError('Private polynomial not generated', 'NO_POLYNOMIAL');
}
const coeffs = this.privatePolynomial.getCoefficients();
this.obfuscatedCoefficients = coeffs.map(coeff => {
const coeffBuffer = coeff.toArrayLike(Buffer, 'be', 32);
const point = G.multiply(BigInt('0x' + coeffBuffer.toString('hex')));
return Buffer.from(point.toRawBytes(true));
});
return this.obfuscatedCoefficients;
}
/**
* Step 5 of JVRSS: Verify a polynomial point from participant j
* Check that f_j(i) · G == Σ i^k * (a_jk · G)
* @param {number} fromIndex - Sender participant index j
* @param {BN} pointValue - f_j(i) received value
* @param {Buffer[]} obfuscatedCoeffs - Obfuscated coefficients a_jk · G
* @returns {boolean} True if verification passes
*/
verifyPolynomialPoint(fromIndex, pointValue, obfuscatedCoeffs) {
try {
// Calculate expected: Σ i^k * (a_jk · G) for k = 0, ..., t
let expectedPoint = secp256k1.ProjectivePoint.fromHex(obfuscatedCoeffs[0]);
let iPower = new BN(this.index);
for (let k = 1; k < obfuscatedCoeffs.length; k++) {
const coeffPoint = secp256k1.ProjectivePoint.fromHex(obfuscatedCoeffs[k]);
const scalar = BigInt('0x' + iPower.toArrayLike(Buffer, 'be', 32).toString('hex'));
const term = coeffPoint.multiply(scalar);
expectedPoint = expectedPoint.add(term);
iPower = iPower.mul(new BN(this.index)).umod(CURVE_ORDER);
}
// Calculate actual: f_j(i) · G
const pointBuffer = pointValue.toArrayLike(Buffer, 'be', 32);
const actualPoint = G.multiply(BigInt('0x' + pointBuffer.toString('hex')));
return expectedPoint.equals(actualPoint);
} catch {
return false;
}
}
/**
* Get public key corresponding to this participant's key share
* @returns {Buffer} a_i · G compressed
*/
getKeySharePublicKey() {
if (!this.privateKeyShare) {
throw new ParticipantError('Key share not calculated', 'NO_KEY_SHARE');
}
const shareBuffer = this.privateKeyShare.toArrayLike(Buffer, 'be', 32);
const point = G.multiply(BigInt('0x' + shareBuffer.toString('hex')));
return Buffer.from(point.toRawBytes(true));
}
/**
* Store an ephemeral key for later signing
* @param {BN} r - The r value (x-coordinate of k·G mod n)
* @param {BN} inverseKShare - This participant's inverse ephemeral share k_i^-1
*/
storeEphemeralKey(r, inverseKShare) {
this.ephemeralKeys.push({
r: r.clone(),
inverseKShare: inverseKShare.clone(),
used: false
});
}
/**
* Get next unused ephemeral key
* @returns {{r: BN, inverseKShare: BN}|null} Next ephemeral key or null if none available
*/
getNextEphemeralKey() {
const key = this.ephemeralKeys.find(k => !k.used);
if (key) {
key.used = true;
return { r: key.r, inverseKShare: key.inverseKShare };
}
return null;
}
/**
* Section 4.3: Generate signature share s_i
* s_i = k_i^-1 * (e + a_i * r) mod n
* @param {BN} r - The r value from ephemeral key
* @param {BN} e - Message hash
* @param {BN} inverseKShare - k_i^-1 share
* @returns {{r: BN, s: BN, index: number}} Signature share
*/
generateSignatureShare(r, e, inverseKShare) {
if (!this.privateKeyShare) {
throw new ParticipantError('Key share not calculated', 'NO_KEY_SHARE');
}
const rBN = r instanceof BN ? r : new BN(r);
const eBN = e instanceof BN ? e : new BN(e);
const kInvBN = inverseKShare instanceof BN ? inverseKShare : new BN(inverseKShare);
// s_i = k_i^-1 * (e + a_i * r) mod n
const aiR = this.privateKeyShare.mul(rBN).umod(CURVE_ORDER);
const ePlusAiR = eBN.add(aiR).umod(CURVE_ORDER);
const si = kInvBN.mul(ePlusAiR).umod(CURVE_ORDER);
return {
r: rBN,
s: si,
index: this.index
};
}
/**
* Get the private key share value
* @returns {BN} The key share a_i
*/
getKeyShare() {
return this.privateKeyShare ? this.privateKeyShare.clone() : null;
}
/**
* Set a blinding share for INVSS operations
* @param {BN} blindingShare - The blinding value share b_i
*/
setBlindingShare(blindingShare) {
this.blindingShare = blindingShare instanceof BN ? blindingShare.clone() : new BN(blindingShare);
}
/**
* Get blinding share
* @returns {BN|null} The blinding share or null
*/
getBlindingShare() {
return this.blindingShare ? this.blindingShare.clone() : null;
}
/**
* Clear all sensitive data
*/
clear() {
if (this.privatePolynomial) {
this.privatePolynomial.clear();
}
this.privateKeyShare = null;
this.blindingShare = null;
this.ephemeralKeys = [];
this.receivedPoints.clear();
this.obfuscatedCoefficients = null;
}
}
export { Participant, ParticipantError };
export default Participant;
</code></pre>
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