ecc

package
v0.12.1 Latest Latest
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This package is not in the latest version of its module.

 Go to latest Published: Oct 5, 2023 License: Apache-2.0 Imports: 4 Imported by: 566

Documentation

Overview

Package ecc provides bls12-381, bls12-377, bls12-378, bn254, bw6-761, bls24-315, bls24-317, bw6-633, bls12-378, bw6-756, secp256k1 and stark-curve elliptic curves implementation (+pairing).

Also

  • Multi exponentiation
  • FFT
  • Polynomial commitment schemes
  • MiMC
  • twisted edwards "companion curves"
  • EdDSA (on the "companion" twisted edwards curves)

Index

Constants

This section is empty.

Variables

This section is empty.

Functions

func NafDecomposition 

func NafDecomposition(a *big.Int, result []int8) int

NafDecomposition gets the naf decomposition of a big number

func NextPowerOfTwo added in v0.5.0 

func NextPowerOfTwo(n uint64) uint64

NextPowerOfTwo returns the next power of 2 of n

func PrecomputeLattice 

func PrecomputeLattice(r, lambda *big.Int, res *Lattice)

PrecomputeLattice res such that res.V1, res.V2 are short vectors satisfying v11+v12.λ=v21+v22.λ=0[r]. cf https://www.iacr.org/archive/crypto2001/21390189.pdf

func SplitScalar 

func SplitScalar(s *big.Int, l *Lattice) [2]big.Int

SplitScalar outputs u,v such that u+vlambda=s[r]. The method is to view s as (s,0) in ZxZ, and find a close vector w of (s,0) in <l>, where l is a sub Z-module of ker((a,b) → a+b.λ[r]): then (u,v)=w-(s,0), and u+v.λ=s[r]. cf https://www.iacr.org/archive/crypto2001/21390189.pdf

Types

type ID 

type ID uint16

ID represent a unique ID for a curve 

const (
	UNKNOWN ID = iota
	BN254
	BLS12_377
	BLS12_378
	BLS12_381
	BLS24_315
	BLS24_317
	BW6_761
	BW6_633
	BW6_756
	STARK_CURVE
	SECP256K1
)

do not modify the order of this enum

func Implemented added in v0.5.0 

func Implemented() []ID

Implemented return the list of curves fully implemented in gnark-crypto

func (ID) BaseField added in v0.8.0 

func (id ID) BaseField() *big.Int

BaseField returns the base field of the curve

func (ID) ScalarField added in v0.8.0 

func (id ID) ScalarField() *big.Int

ScalarField returns the scalar field of the curve

func (ID) String 

func (id ID) String() string

type Lattice 

type Lattice struct {
	V1, V2 [2]big.Int
	Det    big.Int
	// contains filtered or unexported fields
}

Lattice represents a Z module spanned by V1, V2. det is the associated determinant.

type MultiExpConfig added in v0.5.0 

type MultiExpConfig struct {
	NbTasks int // go routines to be used in the multiexp. can be larger than num cpus.
}

MultiExpConfig enables to set optional configuration attribute to a call to MultiExp

Source Files

View all Source files

Directories

Path Synopsis
Package bls12377 efficient elliptic curve, pairing and hash to curve implementation for bls12-377.
 Package bls12377 efficient elliptic curve, pairing and hash to curve implementation for bls12-377.
ecdsa
Package ecdsa provides ECDSA signature scheme on the bls12-377 curve.
 Package ecdsa provides ECDSA signature scheme on the bls12-377 curve.
fp
Package fp contains field arithmetic operations for modulus = 0x1ae3a4...000001.
 Package fp contains field arithmetic operations for modulus = 0x1ae3a4...000001.
fr
Package fr contains field arithmetic operations for modulus = 0x12ab65...000001.
 Package fr contains field arithmetic operations for modulus = 0x12ab65...000001.
fr/fft
Package fft provides in-place discrete Fourier transform.
 Package fft provides in-place discrete Fourier transform.
fr/fri
Package fri provides the FRI (multiplicative) commitment scheme.
 Package fri provides the FRI (multiplicative) commitment scheme.
fr/gkr
fr/iop
Package iop provides an API to computations common to iop backends (permutation, quotient).
 Package iop provides an API to computations common to iop backends (permutation, quotient).
fr/kzg
Package kzg provides a KZG commitment scheme.
 Package kzg provides a KZG commitment scheme.
fr/mimc
Package mimc provides MiMC hash function using Miyaguchi–Preneel construction.
 Package mimc provides MiMC hash function using Miyaguchi–Preneel construction.
fr/pedersen
fr/permutation
Package permutation provides an API to build permutation proofs.
 Package permutation provides an API to build permutation proofs.
fr/plookup
Package plookup provides an API to build plookup proofs.
 Package plookup provides an API to build plookup proofs.
fr/polynomial
Package polynomial provides polynomial methods and commitment schemes.
 Package polynomial provides polynomial methods and commitment schemes.
fr/sumcheck
fr/test_vector_utils
internal/fptower
twistededwards
Package twistededwards provides bls12-377's twisted edwards "companion curve" defined on fr.
 Package twistededwards provides bls12-377's twisted edwards "companion curve" defined on fr.
twistededwards/eddsa
Package eddsa provides EdDSA signature scheme on bls12-377's twisted edwards curve.
 Package eddsa provides EdDSA signature scheme on bls12-377's twisted edwards curve.
Package bls12378 efficient elliptic curve, pairing and hash to curve implementation for bls12-378.
 Package bls12378 efficient elliptic curve, pairing and hash to curve implementation for bls12-378.
ecdsa
Package ecdsa provides ECDSA signature scheme on the bls12-378 curve.
 Package ecdsa provides ECDSA signature scheme on the bls12-378 curve.
fp
Package fp contains field arithmetic operations for modulus = 0x3eeb04...000001.
 Package fp contains field arithmetic operations for modulus = 0x3eeb04...000001.
fr
Package fr contains field arithmetic operations for modulus = 0x20e7b9...000001.
 Package fr contains field arithmetic operations for modulus = 0x20e7b9...000001.
fr/fft
Package fft provides in-place discrete Fourier transform.
 Package fft provides in-place discrete Fourier transform.
fr/fri
Package fri provides the FRI (multiplicative) commitment scheme.
 Package fri provides the FRI (multiplicative) commitment scheme.
fr/gkr
fr/iop
Package iop provides an API to computations common to iop backends (permutation, quotient).
 Package iop provides an API to computations common to iop backends (permutation, quotient).
fr/kzg
Package kzg provides a KZG commitment scheme.
 Package kzg provides a KZG commitment scheme.
fr/mimc
Package mimc provides MiMC hash function using Miyaguchi–Preneel construction.
 Package mimc provides MiMC hash function using Miyaguchi–Preneel construction.
fr/pedersen
fr/permutation
Package permutation provides an API to build permutation proofs.
 Package permutation provides an API to build permutation proofs.
fr/plookup
Package plookup provides an API to build plookup proofs.
 Package plookup provides an API to build plookup proofs.
fr/polynomial
Package polynomial provides polynomial methods and commitment schemes.
 Package polynomial provides polynomial methods and commitment schemes.
fr/sumcheck
fr/test_vector_utils
internal/fptower
twistededwards
Package twistededwards provides bls12-378's twisted edwards "companion curve" defined on fr.
 Package twistededwards provides bls12-378's twisted edwards "companion curve" defined on fr.
twistededwards/eddsa
Package eddsa provides EdDSA signature scheme on bls12-378's twisted edwards curve.
 Package eddsa provides EdDSA signature scheme on bls12-378's twisted edwards curve.
Package bls12381 efficient elliptic curve, pairing and hash to curve implementation for bls12-381.
 Package bls12381 efficient elliptic curve, pairing and hash to curve implementation for bls12-381.
bandersnatch
Package bandersnatch provides bls12-381's twisted edwards "companion curve" defined on fr.
 Package bandersnatch provides bls12-381's twisted edwards "companion curve" defined on fr.
bandersnatch/eddsa
Package eddsa provides EdDSA signature scheme on bls12-381's twisted edwards curve.
 Package eddsa provides EdDSA signature scheme on bls12-381's twisted edwards curve.
ecdsa
Package ecdsa provides ECDSA signature scheme on the bls12-381 curve.
 Package ecdsa provides ECDSA signature scheme on the bls12-381 curve.
fp
Package fp contains field arithmetic operations for modulus = 0x1a0111...ffaaab.
 Package fp contains field arithmetic operations for modulus = 0x1a0111...ffaaab.
fr
Package fr contains field arithmetic operations for modulus = 0x73eda7...000001.
 Package fr contains field arithmetic operations for modulus = 0x73eda7...000001.
fr/fft
Package fft provides in-place discrete Fourier transform.
 Package fft provides in-place discrete Fourier transform.
fr/fri
Package fri provides the FRI (multiplicative) commitment scheme.
 Package fri provides the FRI (multiplicative) commitment scheme.
fr/gkr
fr/iop
Package iop provides an API to computations common to iop backends (permutation, quotient).
 Package iop provides an API to computations common to iop backends (permutation, quotient).
fr/kzg
Package kzg provides a KZG commitment scheme.
 Package kzg provides a KZG commitment scheme.
fr/mimc
Package mimc provides MiMC hash function using Miyaguchi–Preneel construction.
 Package mimc provides MiMC hash function using Miyaguchi–Preneel construction.
fr/pedersen
fr/permutation
Package permutation provides an API to build permutation proofs.
 Package permutation provides an API to build permutation proofs.
fr/plookup
Package plookup provides an API to build plookup proofs.
 Package plookup provides an API to build plookup proofs.
fr/polynomial
Package polynomial provides polynomial methods and commitment schemes.
 Package polynomial provides polynomial methods and commitment schemes.
fr/sumcheck
fr/test_vector_utils
internal/fptower
twistededwards
Package twistededwards provides bls12-381's twisted edwards "companion curve" defined on fr.
 Package twistededwards provides bls12-381's twisted edwards "companion curve" defined on fr.
twistededwards/eddsa
Package eddsa provides EdDSA signature scheme on bls12-381's twisted edwards curve.
 Package eddsa provides EdDSA signature scheme on bls12-381's twisted edwards curve.
Package bls24315 efficient elliptic curve, pairing and hash to curve implementation for bls24-315.
 Package bls24315 efficient elliptic curve, pairing and hash to curve implementation for bls24-315.
ecdsa
Package ecdsa provides ECDSA signature scheme on the bls24-315 curve.
 Package ecdsa provides ECDSA signature scheme on the bls24-315 curve.
fp
Package fp contains field arithmetic operations for modulus = 0x4c23a0...300001.
 Package fp contains field arithmetic operations for modulus = 0x4c23a0...300001.
fr
Package fr contains field arithmetic operations for modulus = 0x196dea...c00001.
 Package fr contains field arithmetic operations for modulus = 0x196dea...c00001.
fr/fft
Package fft provides in-place discrete Fourier transform.
 Package fft provides in-place discrete Fourier transform.
fr/fri
Package fri provides the FRI (multiplicative) commitment scheme.
 Package fri provides the FRI (multiplicative) commitment scheme.
fr/gkr
fr/iop
Package iop provides an API to computations common to iop backends (permutation, quotient).
 Package iop provides an API to computations common to iop backends (permutation, quotient).
fr/kzg
Package kzg provides a KZG commitment scheme.
 Package kzg provides a KZG commitment scheme.
fr/mimc
Package mimc provides MiMC hash function using Miyaguchi–Preneel construction.
 Package mimc provides MiMC hash function using Miyaguchi–Preneel construction.
fr/pedersen
fr/permutation
Package permutation provides an API to build permutation proofs.
 Package permutation provides an API to build permutation proofs.
fr/plookup
Package plookup provides an API to build plookup proofs.
 Package plookup provides an API to build plookup proofs.
fr/polynomial
Package polynomial provides polynomial methods and commitment schemes.
 Package polynomial provides polynomial methods and commitment schemes.
fr/sumcheck
fr/test_vector_utils
internal/fptower
twistededwards
Package twistededwards provides bls24-315's twisted edwards "companion curve" defined on fr.
 Package twistededwards provides bls24-315's twisted edwards "companion curve" defined on fr.
twistededwards/eddsa
Package eddsa provides EdDSA signature scheme on bls24-315's twisted edwards curve.
 Package eddsa provides EdDSA signature scheme on bls24-315's twisted edwards curve.
Package bls24317 efficient elliptic curve, pairing and hash to curve implementation for bls24-317.
 Package bls24317 efficient elliptic curve, pairing and hash to curve implementation for bls24-317.
ecdsa
Package ecdsa provides ECDSA signature scheme on the bls24-317 curve.
 Package ecdsa provides ECDSA signature scheme on the bls24-317 curve.
fp
Package fp contains field arithmetic operations for modulus = 0x1058ca...ab2aab.
 Package fp contains field arithmetic operations for modulus = 0x1058ca...ab2aab.
fr
Package fr contains field arithmetic operations for modulus = 0x443f91...000001.
 Package fr contains field arithmetic operations for modulus = 0x443f91...000001.
fr/fft
Package fft provides in-place discrete Fourier transform.
 Package fft provides in-place discrete Fourier transform.
fr/fri
Package fri provides the FRI (multiplicative) commitment scheme.
 Package fri provides the FRI (multiplicative) commitment scheme.
fr/gkr
fr/iop
Package iop provides an API to computations common to iop backends (permutation, quotient).
 Package iop provides an API to computations common to iop backends (permutation, quotient).
fr/kzg
Package kzg provides a KZG commitment scheme.
 Package kzg provides a KZG commitment scheme.
fr/mimc
Package mimc provides MiMC hash function using Miyaguchi–Preneel construction.
 Package mimc provides MiMC hash function using Miyaguchi–Preneel construction.
fr/pedersen
fr/permutation
Package permutation provides an API to build permutation proofs.
 Package permutation provides an API to build permutation proofs.
fr/plookup
Package plookup provides an API to build plookup proofs.
 Package plookup provides an API to build plookup proofs.
fr/polynomial
Package polynomial provides polynomial methods and commitment schemes.
 Package polynomial provides polynomial methods and commitment schemes.
fr/sumcheck
fr/test_vector_utils
internal/fptower
twistededwards
Package twistededwards provides bls24-317's twisted edwards "companion curve" defined on fr.
 Package twistededwards provides bls24-317's twisted edwards "companion curve" defined on fr.
twistededwards/eddsa
Package eddsa provides EdDSA signature scheme on bls24-317's twisted edwards curve.
 Package eddsa provides EdDSA signature scheme on bls24-317's twisted edwards curve.
Package bn254 efficient elliptic curve, pairing and hash to curve implementation for bn254.
 Package bn254 efficient elliptic curve, pairing and hash to curve implementation for bn254.
ecdsa
Package ecdsa provides ECDSA signature scheme on the bn254 curve.
 Package ecdsa provides ECDSA signature scheme on the bn254 curve.
fp
Package fp contains field arithmetic operations for modulus = 0x30644e...7cfd47.
 Package fp contains field arithmetic operations for modulus = 0x30644e...7cfd47.
fr
Package fr contains field arithmetic operations for modulus = 0x30644e...000001.
 Package fr contains field arithmetic operations for modulus = 0x30644e...000001.
fr/fft
Package fft provides in-place discrete Fourier transform.
 Package fft provides in-place discrete Fourier transform.
fr/fri
Package fri provides the FRI (multiplicative) commitment scheme.
 Package fri provides the FRI (multiplicative) commitment scheme.
fr/gkr
fr/iop
Package iop provides an API to computations common to iop backends (permutation, quotient).
 Package iop provides an API to computations common to iop backends (permutation, quotient).
fr/kzg
Package kzg provides a KZG commitment scheme.
 Package kzg provides a KZG commitment scheme.
fr/mimc
Package mimc provides MiMC hash function using Miyaguchi–Preneel construction.
 Package mimc provides MiMC hash function using Miyaguchi–Preneel construction.
fr/mimc/test_vectors
fr/pedersen
fr/permutation
Package permutation provides an API to build permutation proofs.
 Package permutation provides an API to build permutation proofs.
fr/plookup
Package plookup provides an API to build plookup proofs.
 Package plookup provides an API to build plookup proofs.
fr/polynomial
Package polynomial provides polynomial methods and commitment schemes.
 Package polynomial provides polynomial methods and commitment schemes.
fr/sis
fr/sumcheck
fr/tensor-commitment
fr/test_vector_utils
internal/fptower
twistededwards
Package twistededwards provides bn254's twisted edwards "companion curve" defined on fr.
 Package twistededwards provides bn254's twisted edwards "companion curve" defined on fr.
twistededwards/eddsa
Package eddsa provides EdDSA signature scheme on bn254's twisted edwards curve.
 Package eddsa provides EdDSA signature scheme on bn254's twisted edwards curve.
Package bw6633 efficient elliptic curve, pairing and hash to curve implementation for bw6-633.
 Package bw6633 efficient elliptic curve, pairing and hash to curve implementation for bw6-633.
ecdsa
Package ecdsa provides ECDSA signature scheme on the bw6-633 curve.
 Package ecdsa provides ECDSA signature scheme on the bw6-633 curve.
fp
Package fp contains field arithmetic operations for modulus = 0x126633...70000d.
 Package fp contains field arithmetic operations for modulus = 0x126633...70000d.
fr
Package fr contains field arithmetic operations for modulus = 0x4c23a0...300001.
 Package fr contains field arithmetic operations for modulus = 0x4c23a0...300001.
fr/fft
Package fft provides in-place discrete Fourier transform.
 Package fft provides in-place discrete Fourier transform.
fr/fri
Package fri provides the FRI (multiplicative) commitment scheme.
 Package fri provides the FRI (multiplicative) commitment scheme.
fr/gkr
fr/iop
Package iop provides an API to computations common to iop backends (permutation, quotient).
 Package iop provides an API to computations common to iop backends (permutation, quotient).
fr/kzg
Package kzg provides a KZG commitment scheme.
 Package kzg provides a KZG commitment scheme.
fr/mimc
Package mimc provides MiMC hash function using Miyaguchi–Preneel construction.
 Package mimc provides MiMC hash function using Miyaguchi–Preneel construction.
fr/pedersen
fr/permutation
Package permutation provides an API to build permutation proofs.
 Package permutation provides an API to build permutation proofs.
fr/plookup
Package plookup provides an API to build plookup proofs.
 Package plookup provides an API to build plookup proofs.
fr/polynomial
Package polynomial provides polynomial methods and commitment schemes.
 Package polynomial provides polynomial methods and commitment schemes.
fr/sumcheck
fr/test_vector_utils
internal/fptower
twistededwards
Package twistededwards provides bw6-633's twisted edwards "companion curve" defined on fr.
 Package twistededwards provides bw6-633's twisted edwards "companion curve" defined on fr.
twistededwards/eddsa
Package eddsa provides EdDSA signature scheme on bw6-633's twisted edwards curve.
 Package eddsa provides EdDSA signature scheme on bw6-633's twisted edwards curve.
Package bw6756 efficient elliptic curve, pairing and hash to curve implementation for bw6-756.
 Package bw6756 efficient elliptic curve, pairing and hash to curve implementation for bw6-756.
ecdsa
Package ecdsa provides ECDSA signature scheme on the bw6-756 curve.
 Package ecdsa provides ECDSA signature scheme on the bw6-756 curve.
fp
Package fp contains field arithmetic operations for modulus = 0xf76adb...000001.
 Package fp contains field arithmetic operations for modulus = 0xf76adb...000001.
fr
Package fr contains field arithmetic operations for modulus = 0x3eeb04...000001.
 Package fr contains field arithmetic operations for modulus = 0x3eeb04...000001.
fr/fft
Package fft provides in-place discrete Fourier transform.
 Package fft provides in-place discrete Fourier transform.
fr/fri
Package fri provides the FRI (multiplicative) commitment scheme.
 Package fri provides the FRI (multiplicative) commitment scheme.
fr/gkr
fr/iop
Package iop provides an API to computations common to iop backends (permutation, quotient).
 Package iop provides an API to computations common to iop backends (permutation, quotient).
fr/kzg
Package kzg provides a KZG commitment scheme.
 Package kzg provides a KZG commitment scheme.
fr/mimc
Package mimc provides MiMC hash function using Miyaguchi–Preneel construction.
 Package mimc provides MiMC hash function using Miyaguchi–Preneel construction.
fr/pedersen
fr/permutation
Package permutation provides an API to build permutation proofs.
 Package permutation provides an API to build permutation proofs.
fr/plookup
Package plookup provides an API to build plookup proofs.
 Package plookup provides an API to build plookup proofs.
fr/polynomial
Package polynomial provides polynomial methods and commitment schemes.
 Package polynomial provides polynomial methods and commitment schemes.
fr/sumcheck
fr/test_vector_utils
internal/fptower
twistededwards
Package twistededwards provides bw6-756's twisted edwards "companion curve" defined on fr.
 Package twistededwards provides bw6-756's twisted edwards "companion curve" defined on fr.
twistededwards/eddsa
Package eddsa provides EdDSA signature scheme on bw6-756's twisted edwards curve.
 Package eddsa provides EdDSA signature scheme on bw6-756's twisted edwards curve.
Package bw6761 efficient elliptic curve, pairing and hash to curve implementation for bw6-761.
 Package bw6761 efficient elliptic curve, pairing and hash to curve implementation for bw6-761.
ecdsa
Package ecdsa provides ECDSA signature scheme on the bw6-761 curve.
 Package ecdsa provides ECDSA signature scheme on the bw6-761 curve.
fp
Package fp contains field arithmetic operations for modulus = 0x122e82...00008b.
 Package fp contains field arithmetic operations for modulus = 0x122e82...00008b.
fr
Package fr contains field arithmetic operations for modulus = 0x1ae3a4...000001.
 Package fr contains field arithmetic operations for modulus = 0x1ae3a4...000001.
fr/fft
Package fft provides in-place discrete Fourier transform.
 Package fft provides in-place discrete Fourier transform.
fr/fri
Package fri provides the FRI (multiplicative) commitment scheme.
 Package fri provides the FRI (multiplicative) commitment scheme.
fr/gkr
fr/iop
Package iop provides an API to computations common to iop backends (permutation, quotient).
 Package iop provides an API to computations common to iop backends (permutation, quotient).
fr/kzg
Package kzg provides a KZG commitment scheme.
 Package kzg provides a KZG commitment scheme.
fr/mimc
Package mimc provides MiMC hash function using Miyaguchi–Preneel construction.
 Package mimc provides MiMC hash function using Miyaguchi–Preneel construction.
fr/pedersen
fr/permutation
Package permutation provides an API to build permutation proofs.
 Package permutation provides an API to build permutation proofs.
fr/plookup
Package plookup provides an API to build plookup proofs.
 Package plookup provides an API to build plookup proofs.
fr/polynomial
Package polynomial provides polynomial methods and commitment schemes.
 Package polynomial provides polynomial methods and commitment schemes.
fr/sumcheck
fr/test_vector_utils
internal/fptower
twistededwards
Package twistededwards provides bw6-761's twisted edwards "companion curve" defined on fr.
 Package twistededwards provides bw6-761's twisted edwards "companion curve" defined on fr.
twistededwards/eddsa
Package eddsa provides EdDSA signature scheme on bw6-761's twisted edwards curve.
 Package eddsa provides EdDSA signature scheme on bw6-761's twisted edwards curve.
Package secp256k1 efficient elliptic curve implementation for secp256k1.
 Package secp256k1 efficient elliptic curve implementation for secp256k1.
ecdsa
Package ecdsa provides ECDSA signature scheme on the secp256k1 curve.
 Package ecdsa provides ECDSA signature scheme on the secp256k1 curve.
fp
Package fp contains field arithmetic operations for modulus = 0xffffff...fffc2f.
 Package fp contains field arithmetic operations for modulus = 0xffffff...fffc2f.
fr
Package fr contains field arithmetic operations for modulus = 0xffffff...364141.
 Package fr contains field arithmetic operations for modulus = 0xffffff...364141.
Package starkcurve efficient elliptic curve implementation for stark_curve.
 Package starkcurve efficient elliptic curve implementation for stark_curve.
ecdsa
Package ecdsa provides ECDSA signature scheme on the stark-curve curve.
 Package ecdsa provides ECDSA signature scheme on the stark-curve curve.
fp
Package fp contains field arithmetic operations for modulus = 0x800000...000001.
 Package fp contains field arithmetic operations for modulus = 0x800000...000001.
fr
Package fr contains field arithmetic operations for modulus = 0x800000...c64d2f.
 Package fr contains field arithmetic operations for modulus = 0x800000...c64d2f.
pedersen-hash
Package twistededwards define unique identifier for twisted edwards curves implemented in gnark-crypto
 Package twistededwards define unique identifier for twisted edwards curves implemented in gnark-crypto

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