mcl-wasm

What is mcl-wasm?

The mcl-wasm package is a WebAssembly (WASM) implementation of the MCL (Multiprecision Complex Library) which provides cryptographic functionalities, particularly focusing on pairing-based cryptography. It is designed to be used in web applications and Node.js environments.

What are mcl-wasm's main functionalities?

Pairing-based Cryptography

This code demonstrates the use of pairing-based cryptography with the mcl-wasm package. It initializes the BLS12-381 curve, generates random elements in the field, computes points on the elliptic curve, and then performs a pairing operation.

const mcl = require('mcl-wasm');
(async () => {
  await mcl.init(mcl.BLS12_381);
  const a = new mcl.Fr();
  a.setByCSPRNG();
  const b = new mcl.Fr();
  b.setByCSPRNG();
  const P = mcl.mul(mcl.g1(), a);
  const Q = mcl.mul(mcl.g2(), b);
  const ePQ = mcl.pairing(P, Q);
  console.log('e(P, Q) =', ePQ.getStr());
})();

Elliptic Curve Operations

This code demonstrates basic elliptic curve operations such as point addition. It initializes the BLS12-381 curve, creates points on the curve, and adds them together.

const mcl = require('mcl-wasm');
(async () => {
  await mcl.init(mcl.BLS12_381);
  const P = mcl.g1();
  const Q = mcl.g1();
  Q.setStr('1 2');
  const R = mcl.add(P, Q);
  console.log('P + Q =', R.getStr());
})();

Field Arithmetic

This code demonstrates field arithmetic operations such as addition. It initializes the BLS12-381 curve, generates random field elements, and adds them together.

const mcl = require('mcl-wasm');
(async () => {
  await mcl.init(mcl.BLS12_381);
  const a = new mcl.Fr();
  a.setByCSPRNG();
  const b = new mcl.Fr();
  b.setByCSPRNG();
  const c = mcl.add(a, b);
  console.log('a + b =', c.getStr());
})();

Other packages similar to mcl-wasm

elliptic

The elliptic package is a JavaScript library for elliptic curve cryptography. It provides a wide range of elliptic curve operations and is widely used in various cryptographic applications. Compared to mcl-wasm, elliptic does not focus on pairing-based cryptography but offers a broader range of elliptic curve algorithms.

noble-bls12-381

The noble-bls12-381 package is a JavaScript implementation of the BLS12-381 curve, which is used for pairing-based cryptography. It is similar to mcl-wasm in that it focuses on the BLS12-381 curve, but it is implemented purely in JavaScript without relying on WebAssembly.

bls-signatures

The bls-signatures package provides an implementation of BLS (Boneh-Lynn-Shacham) signatures, which are based on pairing-based cryptography. It is similar to mcl-wasm in that it focuses on BLS signatures, but it is more specialized and does not provide the broader range of cryptographic functionalities that mcl-wasm offers.

README

A portable and fast pairing-based cryptography library for Node.js by WebAssembly

Abstract

see mcl

News

• 2020/Nov/10 setup function has changed.
• add mulVec(xVec, yVec) where xVec is an array of G1 or G2 and yVec is an array of Fr, which returns sum of xVec[i] yVec[i].
• G1.setHashOf is compatible with hash-to-curve-09 BLS12381G1_XMD:SHA-256_SSWU_RO_
• support only BN254, ZKSNARK, BLS12-381 to remove mcl_c512.js
• add mcl.precomputedMillerLoop2 and mcl.precomputedMillerLoop2mixed

for Node.js

node test/test.js

browser demo

ID-based encryption

usages

init

// Ethereum 2.0 spec mode
mcl.init(mcl.BLS12_381)
  .then(() => {
    mcl.setETHserialization(true) // Ethereum serialization
    mcl.setMapToMode(mcl.IRTF) // for G2.setHashOf(msg)
    ...
  })

string conversion

a = new mcl.Fr()
a.setStr('255') // set 255
a.setStr('0xff') // set 0xff = 255
a.setStr('ff', 16) // set ff as hex-string

a.getStr() // '255'
a.getStr(16) // 'ff'

serialization

// byte array serialization
b.deserialize(a.serialize()) // b.isEqualTo(a)
// hex string of serialization()
b.deserializeHexStr(a.serializeToHexStr())

// serialization like Ethereum 2.0 only for BLS12-381
mcl.setETHserialization(true)

deserialization

/*
  it is big cost to to verify the order
  call once after init() if you want to disable it
  cf. sub group problem
*/
mcl.verifyOrderG1(false)
mcl.verifyOrderG2(false)

see test.js

License

modified new BSD License http://opensource.org/licenses/BSD-3-Clause

History

2019/Jan/31 add Fp.mapToG1

Author

MITSUNARI Shigeo([e-mail])

Sponsors welcome

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