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Package elliptic

import "crypto/elliptic"
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Package elliptic implements several standard elliptic curves over prime fields.

func GenerateKey

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

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 1.15

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

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 1.15

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

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.

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)
}

func P224

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

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

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

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

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

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; added in Go 1.5
}

func (*CurveParams) Add

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

func (*CurveParams) Double

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

func (*CurveParams) IsOnCurve

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

func (*CurveParams) Params

func (curve *CurveParams) Params() *CurveParams

func (*CurveParams) ScalarBaseMult

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

func (*CurveParams) ScalarMult

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