Is there a secure method to create a Bitcoin private key directly through a web browser?

Is it possible to create a truly random bitcoin private key without depending on third-party libraries like ECPair or tiny-secp256k1?

An alternative method for generating a secure random key is as follows:

import ECPairFactory from 'ecpair'
import * as ecc from 'tiny-secp256k1'

const ECPair = ECPairFactory(ecc)

export function generatePrivateKey() {
  const keyPair = ECPair.makeRandom()
  return keyPair.privateKey.toString('hex')
}

Can the same task be achieved solely using the Web Crypto API window.crypto.getRandomValues in the browser?

function generatePrivateKey() {
  const privateKeyBytes = new Uint8Array(32); // 256 bits for a Bitcoin private key
  window.crypto.getRandomValues(privateKeyBytes)
  
  const privateKeyHex =
     Array.from(privateKeyBytes)
    .map(byte => byte.toString(16).padStart(2, '0'))
    .join('')
  
  return privateKeyHex
}

Answer №1

Absolutely, that solution should be effective in practice. The private key is a numeric value within the range of [1, n). Although the possibility of generating a number that is either 0 or greater than n is extremely low, it can be safely ignored.

For clarification, the order of secp256k1 appears as follows:

FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFE BAAEDCE6 AF48A03B BFD25E8C D0364141

using big endian notation for a static sized byte array (in hexadecimal) to express the value. The private key is formatted in the same manner. This indicates that the likelihood of generating an incorrect private key is approximately 1 in 2^128.

This assumption relies on the proper functioning of a cryptographically secure random number generator. It's important to note that determining the public key point (W) necessitates EC point multiplication - which is the more challenging aspect. Therefore, attempting this procedure without utilizing a library would essentially involve creating one from scratch.

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