bn256

package
Version: v1.7.0 Latest Latest
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Published: Oct 19, 2021 License: GPL-3.0, BSD-3-Clause Imports: 1 Imported by: 4

Documentation

Overview

Package bn256 implements a particular bilinear group.

Bilinear groups are the basis of many of the new cryptographic protocols that have been proposed over the past decade. They consist of a triplet of groups (G₁, G₂ and GT) such that there exists a function e(g₁ˣ,g₂ʸ)=gTˣʸ (where gₓ is a generator of the respective group). That function is called a pairing function.

This package specifically implements the Optimal Ate pairing over a 256-bit Barreto-Naehrig curve as described in http://cryptojedi.org/papers/dclxvi-20100714.pdf. Its output is compatible with the implementation described in that paper.

This package previously claimed to operate at a 128-bit security level. However, recent improvements in attacks mean that it is no longer true. See https://moderncrypto.org/mail-archive/curves/2016/000740.html.

Initial package from Google is deprecated due to its weakened security and Klaytn is using the more complete implementation from Cloudflare

Source Files

Each file contains following contents

- bn256_fast.go : Provides PairingCheck function for amd64 and arm64 architecture
- bn256_fuzz.go : Provides functions to check if Google's library and Cloudflare's library are giving the same results
- bn256_slow.go : Provides PairingCheck function for non-amd64 and non-arm64 architecture

Index

Constants

This section is empty.

Variables

This section is empty.

Functions

func PairingCheck

func PairingCheck(a []*G1, b []*G2) bool

PairingCheck calculates the Optimal Ate pairing for a set of points.

Types

type G1

type G1 = bn256.G1

G1 is an abstract cyclic group. The zero value is suitable for use as the output of an operation, but cannot be used as an input.

type G2

type G2 = bn256.G2

G2 is an abstract cyclic group. The zero value is suitable for use as the output of an operation, but cannot be used as an input.

Directories

Path Synopsis
Package bn256 implements a particular bilinear group at the 128-bit security level.
Package bn256 implements a particular bilinear group at the 128-bit security level.
Package bn256 implements a particular bilinear group at the 128-bit security level.
Package bn256 implements a particular bilinear group at the 128-bit security level.

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