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README
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bn256
Package bn256 implements the Optimal Ate pairing over a 256-bit Barreto-Naehrig curve targeting a 128-bit security level as described in the paper New Software Speed Records for Cryptocraphic Pairings. Its output is compatible with the implementation described in that paper.
The basis for this package is Cloudflare's bn256 implementation which itself is an improved version of the official bn256 package. The package at hand maintains compatibility to Cloudflare's library. The biggest difference is the replacement of their public API by a new one that is compatible to Kyber's scalar, point, group, and suite interfaces.
Bilinear groups are the basis for many 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) which is called a pairing.
Documentation
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Index ¶
- Variables
- type Suite
- func (s *Suite) G1() kyber.Group
- func (s *Suite) G2() kyber.Group
- func (s *Suite) GT() kyber.Group
- func (c Suite) Hash() hash.Hash
- func (c Suite) New(t reflect.Type) interface{}
- func (s *Suite) Pair(p1 kyber.Point, p2 kyber.Point) kyber.Point
- func (c Suite) RandomStream() cipher.Stream
- func (c Suite) Read(r io.Reader, objs ...interface{}) error
- func (c Suite) String() string
- func (c Suite) Write(w io.Writer, objs ...interface{}) error
- func (c Suite) XOF(seed []byte) kyber.XOF
Constants ¶
This section is empty.
Variables ¶
var Order = bigFromBase10("65000549695646603732796438742359905742570406053903786389881062969044166799969")
Order is the number of elements in both G₁ and G₂: 36u⁴+36u³+18u²+6u+1. order-1 = (2**5) * 3 * 5743 * 280941149 * 130979359433191 * 491513138693455212421542731357 * 6518589491078791937
Functions ¶
This section is empty.
Types ¶
type Suite ¶
type Suite struct {
// contains filtered or unexported fields
}
Suite implements the pairing.Suite interface for the BN256 bilinear pairing.
func NewSuiteRand ¶
NewSuiteRand generates and returns a new BN256 suite seeded by the given cipher stream.
func (*Suite) Pair ¶
Pair takes the points p1 and p2 in groups G1 and G2, respectively, as input and computes their pairing in GT.
func (Suite) RandomStream ¶
RandomStream returns a cipher.Stream which corresponds to a key stream from crypto/rand.
func (Suite) String ¶
func (c Suite) String() string
String returns a recognizable string that this is a combined suite.
Source Files