curve

package

v0.1.5 Latest Latest Go to latest Published: Jun 2, 2022 License: BSD-3-Clause Imports: 4 Imported by: 3

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Repository

github.com/armfazh/tozan-ecc

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Documentation ¶

Overview ¶

Package curve provides definitions of several models of elliptic curves defined over finite fields of large prime characteristic.

Index ¶

type EllCurve
type Isogeny
type M
type Model
- func (m Model) New(name string, f GF.Field, a, b GF.Elt, r, h *big.Int) EllCurve
type Point
type RationalMap
type T
type W
type WC

Constants ¶

This section is empty.

Variables ¶

This section is empty.

Functions ¶

This section is empty.

Types ¶

type EllCurve ¶

type EllCurve interface {
	Field() GF.Field
	Order() *big.Int
	Cofactor() *big.Int
	NewPoint(x, y GF.Elt) Point
	// Predicates
	IsOnCurve(Point) bool
	IsEqual(EllCurve) bool
	IsValid() bool
	// Arithmetic operations
	Identity() Point
	Neg(Point) Point
	Add(Point, Point) Point
	Double(Point) Point
	ClearCofactor(Point) Point
	ScalarMult(Point, *big.Int) Point
}

EllCurve represents an elliptic curve group.

type Isogeny ¶

type Isogeny interface {
	Domain() EllCurve
	Codomain() EllCurve
	Push(Point) Point
}

Isogeny represents an isogeny between two elliptic curves.

type M ¶

type M = *mtCurve

type Model ¶

type Model int

const (
	Weierstrass Model = iota
	WeierstrassC
	TwistedEdwards
	Montgomery
)

func (Model) New ¶

func (m Model) New(name string, f GF.Field, a, b GF.Elt, r, h *big.Int) EllCurve

type Point ¶

type Point interface {
	Copy() Point
	IsIdentity() bool
	IsEqual(Point) bool
	IsTwoTorsion() bool
	X() GF.Elt
	Y() GF.Elt
}

Point represents an elliptic curve point.

type RationalMap ¶

type RationalMap interface {
	Domain() EllCurve
	Codomain() EllCurve
	Push(Point) Point
	Pull(Point) Point
}

RationalMap represents a birational map between two elliptic curves.

type T ¶

type T = *teCurve

type W ¶

type W = *weCurve

type WC ¶

type WC = *wcCurve

Source Files ¶

View all Source files

Directories ¶

Path	Synopsis
toy Package toy provides small instances of elliptic curves.	Package toy provides small instances of elliptic curves.

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