What is secp256k1?
The secp256k1 npm package provides an implementation of the elliptic curve secp256k1, which is widely used in cryptographic applications, particularly in blockchain technologies like Bitcoin and Ethereum. This package allows for key generation, signing, and verification of messages using the secp256k1 curve.
What are secp256k1's main functionalities?
Key Generation
This feature allows you to generate a private key and derive the corresponding public key using the secp256k1 curve.
const secp256k1 = require('secp256k1');
const crypto = require('crypto');
// Generate a private key
let privateKey;
do {
privateKey = crypto.randomBytes(32);
} while (!secp256k1.privateKeyVerify(privateKey));
// Generate the public key
const publicKey = secp256k1.publicKeyCreate(privateKey);
console.log('Private Key:', privateKey.toString('hex'));
console.log('Public Key:', publicKey.toString('hex'));
Message Signing
This feature allows you to sign a message hash using a private key, producing a signature and a recovery ID.
const secp256k1 = require('secp256k1');
const crypto = require('crypto');
// Generate a private key
let privateKey;
do {
privateKey = crypto.randomBytes(32);
} while (!secp256k1.privateKeyVerify(privateKey));
// Create a message hash
const message = 'Hello, world!';
const msgHash = crypto.createHash('sha256').update(message).digest();
// Sign the message hash
const sigObj = secp256k1.ecdsaSign(msgHash, privateKey);
console.log('Signature:', sigObj.signature.toString('hex'));
console.log('Recovery ID:', sigObj.recid);
Signature Verification
This feature allows you to verify a signature against a message hash and a public key, ensuring the authenticity of the message.
const secp256k1 = require('secp256k1');
const crypto = require('crypto');
// Generate a private key
let privateKey;
do {
privateKey = crypto.randomBytes(32);
} while (!secp256k1.privateKeyVerify(privateKey));
// Generate the public key
const publicKey = secp256k1.publicKeyCreate(privateKey);
// Create a message hash
const message = 'Hello, world!';
const msgHash = crypto.createHash('sha256').update(message).digest();
// Sign the message hash
const sigObj = secp256k1.ecdsaSign(msgHash, privateKey);
// Verify the signature
const isValid = secp256k1.ecdsaVerify(sigObj.signature, msgHash, publicKey);
console.log('Signature is valid:', isValid);
Other packages similar to secp256k1
elliptic
The elliptic package is a general-purpose elliptic curve library that supports multiple curves, including secp256k1. It provides similar functionalities for key generation, signing, and verification but also supports other curves like ed25519 and p256. It is more versatile but may be more complex to use for secp256k1-specific applications.
bitcoinjs-lib
The bitcoinjs-lib package is a comprehensive library for Bitcoin-related operations, including key generation, signing, and verification using secp256k1. While it offers similar functionalities, it is more specialized for Bitcoin and includes additional features like transaction creation and parsing.
noble-secp256k1
The noble-secp256k1 package is a modern, fast, and secure implementation of the secp256k1 elliptic curve. It focuses on performance and security, providing similar functionalities for key generation, signing, and verification. It is a good alternative if performance and security are critical.
libsecp256k1
Optimized C library for EC operations on curve secp256k1.
This library is a work in progress and is being used to research best practices. Use at your own risk.
Features:
- secp256k1 ECDSA signing/verification and key generation.
- Adding/multiplying private/public keys.
- Serialization/parsing of private keys, public keys, signatures.
- Constant time, constant memory access signing and pubkey generation.
- Derandomized DSA (via RFC6979 or with a caller provided function.)
- Very efficient implementation.
Implementation details
- General
- No runtime heap allocation.
- Extensive testing infrastructure.
- Structured to facilitate review and analysis.
- Intended to be portable to any system with a C89 compiler and uint64_t support.
- Expose only higher level interfaces to minimize the API surface and improve application security. ("Be difficult to use insecurely.")
- Field operations
- Optimized implementation of arithmetic modulo the curve's field size (2^256 - 0x1000003D1).
- Using 5 52-bit limbs (including hand-optimized assembly for x86_64, by Diederik Huys).
- Using 10 26-bit limbs.
- Field inverses and square roots using a sliding window over blocks of 1s (by Peter Dettman).
- Scalar operations
- Optimized implementation without data-dependent branches of arithmetic modulo the curve's order.
- Using 4 64-bit limbs (relying on __int128 support in the compiler).
- Using 8 32-bit limbs.
- Group operations
- Point addition formula specifically simplified for the curve equation (y^2 = x^3 + 7).
- Use addition between points in Jacobian and affine coordinates where possible.
- Use a unified addition/doubling formula where necessary to avoid data-dependent branches.
- Point/x comparison without a field inversion by comparison in the Jacobian coordinate space.
- Point multiplication for verification (aP + bG).
- Use wNAF notation for point multiplicands.
- Use a much larger window for multiples of G, using precomputed multiples.
- Use Shamir's trick to do the multiplication with the public key and the generator simultaneously.
- Optionally (off by default) use secp256k1's efficiently-computable endomorphism to split the P multiplicand into 2 half-sized ones.
- Point multiplication for signing
- Use a precomputed table of multiples of powers of 16 multiplied with the generator, so general multiplication becomes a series of additions.
- Access the table with branch-free conditional moves so memory access is uniform.
- No data-dependent branches
- The precomputed tables add and eventually subtract points for which no known scalar (private key) is known, preventing even an attacker with control over the private key used to control the data internally.
Build steps
libsecp256k1 is built using autotools:
$ ./autogen.sh
$ ./configure
$ make
$ ./tests
$ sudo make install # optional