Go: crypto/elliptic Index | Files

package elliptic

import "crypto/elliptic"

Package elliptic implements several standard elliptic curves over prime fields.

Index

Package Files

elliptic.go p224.go p256_asm.go

func GenerateKey Uses

func GenerateKey(curve Curve, rand io.Reader) (priv []byte, x, y *big.Int, err error)

GenerateKey returns a public/private key pair. The private key is generated using the given reader, which must return random data.

func Marshal Uses

func Marshal(curve Curve, x, y *big.Int) []byte

Marshal converts a point on the curve into the uncompressed form specified in section 4.3.6 of ANSI X9.62.

func MarshalCompressed Uses

func MarshalCompressed(curve Curve, x, y *big.Int) []byte

MarshalCompressed converts a point on the curve into the compressed form specified in section 4.3.6 of ANSI X9.62.

func Unmarshal Uses

func Unmarshal(curve Curve, data []byte) (x, y *big.Int)

Unmarshal converts a point, serialized by Marshal, into an x, y pair. It is an error if the point is not in uncompressed form or is not on the curve. On error, x = nil.

func UnmarshalCompressed Uses

func UnmarshalCompressed(curve Curve, data []byte) (x, y *big.Int)

UnmarshalCompressed converts a point, serialized by MarshalCompressed, into an x, y pair. It is an error if the point is not in compressed form or is not on the curve. On error, x = nil.

type Curve Uses

type Curve interface {
    // Params returns the parameters for the curve.
    Params() *CurveParams
    // IsOnCurve reports whether the given (x,y) lies on the curve.
    IsOnCurve(x, y *big.Int) bool
    // Add returns the sum of (x1,y1) and (x2,y2)
    Add(x1, y1, x2, y2 *big.Int) (x, y *big.Int)
    // Double returns 2*(x,y)
    Double(x1, y1 *big.Int) (x, y *big.Int)
    // ScalarMult returns k*(Bx,By) where k is a number in big-endian form.
    ScalarMult(x1, y1 *big.Int, k []byte) (x, y *big.Int)
    // ScalarBaseMult returns k*G, where G is the base point of the group
    // and k is an integer in big-endian form.
    ScalarBaseMult(k []byte) (x, y *big.Int)
}

A Curve represents a short-form Weierstrass curve with a=-3.

Note that the point at infinity (0, 0) is not considered on the curve, and although it can be returned by Add, Double, ScalarMult, or ScalarBaseMult, it can't be marshaled or unmarshaled, and IsOnCurve will return false for it.

func P224 Uses

func P224() Curve

P224 returns a Curve which implements P-224 (see FIPS 186-3, section D.2.2).

The cryptographic operations are implemented using constant-time algorithms.

func P256 Uses

func P256() Curve

P256 returns a Curve which implements NIST P-256 (FIPS 186-3, section D.2.3), also known as secp256r1 or prime256v1. The CurveParams.Name of this Curve is "P-256".

Multiple invocations of this function will return the same value, so it can be used for equality checks and switch statements.

The cryptographic operations are implemented using constant-time algorithms.

func P384 Uses

func P384() Curve

P384 returns a Curve which implements NIST P-384 (FIPS 186-3, section D.2.4), also known as secp384r1. The CurveParams.Name of this Curve is "P-384".

Multiple invocations of this function will return the same value, so it can be used for equality checks and switch statements.

The cryptographic operations do not use constant-time algorithms.

func P521 Uses

func P521() Curve

P521 returns a Curve which implements NIST P-521 (FIPS 186-3, section D.2.5), also known as secp521r1. The CurveParams.Name of this Curve is "P-521".

Multiple invocations of this function will return the same value, so it can be used for equality checks and switch statements.

The cryptographic operations do not use constant-time algorithms.

type CurveParams Uses

type CurveParams struct {
    P       *big.Int // the order of the underlying field
    N       *big.Int // the order of the base point
    B       *big.Int // the constant of the curve equation
    Gx, Gy  *big.Int // (x,y) of the base point
    BitSize int      // the size of the underlying field
    Name    string   // the canonical name of the curve
}

CurveParams contains the parameters of an elliptic curve and also provides a generic, non-constant time implementation of Curve.

func (*CurveParams) Add Uses

func (curve *CurveParams) Add(x1, y1, x2, y2 *big.Int) (*big.Int, *big.Int)

func (*CurveParams) Double Uses

func (curve *CurveParams) Double(x1, y1 *big.Int) (*big.Int, *big.Int)

func (*CurveParams) IsOnCurve Uses

func (curve *CurveParams) IsOnCurve(x, y *big.Int) bool

func (*CurveParams) Params Uses

func (curve *CurveParams) Params() *CurveParams

func (*CurveParams) ScalarBaseMult Uses

func (curve *CurveParams) ScalarBaseMult(k []byte) (*big.Int, *big.Int)

func (*CurveParams) ScalarMult Uses

func (curve *CurveParams) ScalarMult(Bx, By *big.Int, k []byte) (*big.Int, *big.Int)

Package elliptic imports 3 packages (graph) and is imported by 5922 packages. Updated 2020-09-09. Refresh now. Tools for package owners.