`package `**elliptic**
Import Path
crypto/elliptic* (on golang.org and go.dev)*
Dependency Relation
imports 4 packages, and imported by 3 packages
Involved Source Files
Package elliptic implements several standard elliptic curves over prime
fields.
p224.go
p256_asm.go
p256_asm_table.go
p521.go
p256_asm_amd64.s
Package-Level Type Names* (total 2)*
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.
Add returns the sum of (x1,y1) and (x2,y2)
Double returns 2*(x,y)
IsOnCurve reports whether the given (x,y) lies on the curve.
Params returns the parameters for the curve.
ScalarBaseMult returns k*G, where G is the base point of the group
and k is an integer in big-endian form.
ScalarMult returns k*(Bx,By) where k is a number in big-endian form.
*CurveParams
crypto/ecdsa.PrivateKey
crypto/ecdsa.PublicKey
func P224() **Curve**
func P256() **Curve**
func P384() **Curve**
func P521() **Curve**
func GenerateKey(curve **Curve**, rand io.Reader) (priv []byte, x, y *big.Int, err error)
func Marshal(curve **Curve**, x, y *big.Int) []byte
func MarshalCompressed(curve **Curve**, x, y *big.Int) []byte
func Unmarshal(curve **Curve**, data []byte) (x, y *big.Int)
func UnmarshalCompressed(curve **Curve**, data []byte) (x, y *big.Int)
func crypto/ecdsa.GenerateKey(c **Curve**, rand io.Reader) (*ecdsa.PrivateKey, error)
CurveParams contains the parameters of an elliptic curve and also provides
a generic, non-constant time implementation of Curve.
// the constant of the curve equation
// the size of the underlying field
// (x,y) of the base point
// (x,y) of the base point
// the order of the base point
// the canonical name of the curve
// the order of the underlying field
(*T) Add(x1, y1, x2, y2 *big.Int) (*big.Int, *big.Int)
(*T) Double(x1, y1 *big.Int) (*big.Int, *big.Int)
(*T) IsOnCurve(x, y *big.Int) bool
(*T) Params() ***CurveParams**
(*T) ScalarBaseMult(k []byte) (*big.Int, *big.Int)
(*T) ScalarMult(Bx, By *big.Int, k []byte) (*big.Int, *big.Int)
*T : Curve
func Curve.Params() ***CurveParams**
func (*CurveParams).Params() ***CurveParams**
Package-Level Functions* (total 9)*
GenerateKey returns a public/private key pair. The private key is
generated using the given reader, which must return random data.
Marshal converts a point on the curve into the uncompressed form specified in
section 4.3.6 of ANSI X9.62.
MarshalCompressed converts a point on the curve into the compressed form
specified in section 4.3.6 of ANSI X9.62.
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.
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.
ScalarMult and ScalarBaseMult are implemented using constant-time algorithms.
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.
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 are implemented using constant-time algorithms.
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.
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.

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