bitcoinjs-lib/test/integration/stealth.js

const { describe, it } = require('mocha')
const assert = require('assert')
const bitcoin = require('../../')
const ecc = require('tiny-secp256k1')

function getAddress (node, network) {
  return bitcoin.payments.p2pkh({ pubkey: node.publicKey, network }).address
}

// vG = (dG \+ sha256(e * dG)G)
function stealthSend (e, Q) {
  const eQ = ecc.pointMultiply(Q, e, true) // shared secret
  const c = bitcoin.crypto.sha256(eQ)
  const Qc = ecc.pointAddScalar(Q, c)
  const vG = bitcoin.ECPair.fromPublicKey(Qc)

  return vG
}

// v = (d + sha256(eG * d))
function stealthReceive (d, eG) {
  const eQ = ecc.pointMultiply(eG, d) // shared secret
  const c = bitcoin.crypto.sha256(eQ)
  const dc = ecc.privateAdd(d, c)
  const v = bitcoin.ECPair.fromPrivateKey(dc)

  return v
}

// d = (v - sha256(e * dG))
function stealthRecoverLeaked (v, e, Q) {
  const eQ = ecc.pointMultiply(Q, e) // shared secret
  const c = bitcoin.crypto.sha256(eQ)
  const vc = ecc.privateSub(v, c)
  const d = bitcoin.ECPair.fromPrivateKey(vc)

  return d
}

// vG = (rG \+ sha256(e * dG)G)
function stealthDualSend (e, R, Q) {
  const eQ = ecc.pointMultiply(Q, e) // shared secret
  const c = bitcoin.crypto.sha256(eQ)
  const Rc = ecc.pointAddScalar(R, c)
  const vG = bitcoin.ECPair.fromPublicKey(Rc)

  return vG
}

// vG = (rG \+ sha256(eG * d)G)
function stealthDualScan (d, R, eG) {
  const eQ = ecc.pointMultiply(eG, d) // shared secret
  const c = bitcoin.crypto.sha256(eQ)
  const Rc = ecc.pointAddScalar(R, c)
  const vG = bitcoin.ECPair.fromPublicKey(Rc)

  return vG
}

// v = (r + sha256(eG * d))
function stealthDualReceive (d, r, eG) {
  const eQ = ecc.pointMultiply(eG, d) // shared secret
  const c = bitcoin.crypto.sha256(eQ)
  const rc = ecc.privateAdd(r, c)
  const v = bitcoin.ECPair.fromPrivateKey(rc)

  return v
}

describe('bitcoinjs-lib (crypto)', function () {
  it('can generate a single-key stealth address', function () {
    // XXX: should be randomly generated, see next test for example
    const recipient = bitcoin.ECPair.fromWIF('5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss') // private to recipient
    const nonce = bitcoin.ECPair.fromWIF('KxVqB96pxbw1pokzQrZkQbLfVBjjHFfp2mFfEp8wuEyGenLFJhM9') // private to sender

    // ... recipient reveals public key (recipient.Q) to sender
    const forSender = stealthSend(nonce.privateKey, recipient.publicKey)
    assert.equal(getAddress(forSender), '1CcZWwCpACJL3AxqoDbwEt4JgDFuTHUspE')
    assert.throws(function () { forSender.toWIF() }, /Error: Missing private key/)

    // ... sender reveals nonce public key (nonce.Q) to recipient
    const forRecipient = stealthReceive(recipient.privateKey, nonce.publicKey)
    assert.equal(getAddress(forRecipient), '1CcZWwCpACJL3AxqoDbwEt4JgDFuTHUspE')
    assert.equal(forRecipient.toWIF(), 'L1yjUN3oYyCXV3LcsBrmxCNTa62bZKWCybxVJMvqjMmmfDE8yk7n')

    // sender and recipient, both derived same address
    assert.equal(getAddress(forSender), getAddress(forRecipient))
  })

  it('can generate a single-key stealth address (randomly)', function () {
    const recipient = bitcoin.ECPair.makeRandom() // private to recipient
    const nonce = bitcoin.ECPair.makeRandom() // private to sender

    // ... recipient reveals public key (recipient.Q) to sender
    const forSender = stealthSend(nonce.privateKey, recipient.publicKey)
    assert.throws(function () { forSender.toWIF() }, /Error: Missing private key/)

    // ... sender reveals nonce public key (nonce.Q) to recipient
    const forRecipient = stealthReceive(recipient.privateKey, nonce.publicKey)
    assert.doesNotThrow(function () { forRecipient.toWIF() })

    // sender and recipient, both derived same address
    assert.equal(getAddress(forSender), getAddress(forRecipient))
  })

  it('can recover parent recipient.d, if a derived private key is leaked [and nonce was revealed]', function () {
    const recipient = bitcoin.ECPair.makeRandom() // private to recipient
    const nonce = bitcoin.ECPair.makeRandom() // private to sender

    // ... recipient reveals public key (recipient.Q) to sender
    const forSender = stealthSend(nonce.privateKey, recipient.publicKey)
    assert.throws(function () { forSender.toWIF() }, /Error: Missing private key/)

    // ... sender reveals nonce public key (nonce.Q) to recipient
    const forRecipient = stealthReceive(recipient.privateKey, nonce.publicKey)
    assert.doesNotThrow(function () { forRecipient.toWIF() })

    // ... recipient accidentally leaks forRecipient.d on the blockchain
    const leaked = stealthRecoverLeaked(forRecipient.privateKey, nonce.privateKey, recipient.publicKey)
    assert.equal(leaked.toWIF(), recipient.toWIF())
  })

  it('can generate a dual-key stealth address', function () {
    // XXX: should be randomly generated, see next test for example
    const recipient = bitcoin.ECPair.fromWIF('5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss') // private to recipient
    const scan = bitcoin.ECPair.fromWIF('L5DkCk3xLLoGKncqKsWQTdaPSR4V8gzc14WVghysQGkdryRudjBM') // private to scanner/recipient
    const nonce = bitcoin.ECPair.fromWIF('KxVqB96pxbw1pokzQrZkQbLfVBjjHFfp2mFfEp8wuEyGenLFJhM9') // private to sender

    // ... recipient reveals public key(s) (recipient.Q, scan.Q) to sender
    const forSender = stealthDualSend(nonce.privateKey, recipient.publicKey, scan.publicKey)
    assert.throws(function () { forSender.toWIF() }, /Error: Missing private key/)

    // ... sender reveals nonce public key (nonce.Q) to scanner
    const forScanner = stealthDualScan(scan.privateKey, recipient.publicKey, nonce.publicKey)
    assert.throws(function () { forScanner.toWIF() }, /Error: Missing private key/)

    // ... scanner reveals relevant transaction + nonce public key (nonce.Q) to recipient
    const forRecipient = stealthDualReceive(scan.privateKey, recipient.privateKey, nonce.publicKey)
    assert.doesNotThrow(function () { forRecipient.toWIF() })

    // scanner, sender and recipient, all derived same address
    assert.equal(getAddress(forSender), getAddress(forScanner))
    assert.equal(getAddress(forSender), getAddress(forRecipient))
  })

  it('can generate a dual-key stealth address (randomly)', function () {
    const recipient = bitcoin.ECPair.makeRandom() // private to recipient
    const scan = bitcoin.ECPair.makeRandom() // private to scanner/recipient
    const nonce = bitcoin.ECPair.makeRandom() // private to sender

    // ... recipient reveals public key(s) (recipient.Q, scan.Q) to sender
    const forSender = stealthDualSend(nonce.privateKey, recipient.publicKey, scan.publicKey)
    assert.throws(function () { forSender.toWIF() }, /Error: Missing private key/)

    // ... sender reveals nonce public key (nonce.Q) to scanner
    const forScanner = stealthDualScan(scan.privateKey, recipient.publicKey, nonce.publicKey)
    assert.throws(function () { forScanner.toWIF() }, /Error: Missing private key/)

    // ... scanner reveals relevant transaction + nonce public key (nonce.Q) to recipient
    const forRecipient = stealthDualReceive(scan.privateKey, recipient.privateKey, nonce.publicKey)
    assert.doesNotThrow(function () { forRecipient.toWIF() })

    // scanner, sender and recipient, all derived same address
    assert.equal(getAddress(forSender), getAddress(forScanner))
    assert.equal(getAddress(forSender), getAddress(forRecipient))
  })
})