Safe Haskell | None |
---|---|
Language | Haskell2010 |
Synopsis
- module Curve.Weierstrass
- type PP = WPPoint BLS48581T Fq8 Fr
- type PJ = WJPoint BLS48581T Fq8 Fr
- type PA = WAPoint BLS48581T Fq8 Fr
- type Fr = PrimeField 476342299743339008482451055637099285448102090246347886165811576342746904451443552831892849773706409097740116059681046950759420830087773258940488535108951041
- type Fq8 = ExtensionField Fq4 PolynomialW
- data PolynomialW
- type Fq4 = ExtensionField Fq2 PolynomialV
- data PolynomialV
- type Fq2 = ExtensionField Fq PolynomialU
- data PolynomialU
- data BLS48581T
- _a :: Fq8
- _b :: Fq8
- _h :: Integer
- _q :: Integer
- _r :: Integer
- _x :: Fq8
- _y :: Fq8
- gA :: PA
- gJ :: PJ
- gP :: PP
Documentation
module Curve.Weierstrass
type Fr = PrimeField 476342299743339008482451055637099285448102090246347886165811576342746904451443552831892849773706409097740116059681046950759420830087773258940488535108951041 Source #
Field of coefficients of BLS48581T curve.
type Fq8 = ExtensionField Fq4 PolynomialW Source #
data PolynomialW Source #
Instances
IrreducibleMonic Fq4 PolynomialW Source # | |
Defined in Curve.Weierstrass.BLS48581T split :: ExtensionField Fq4 PolynomialW -> VPoly Fq4 # deg' :: ExtensionField Fq4 PolynomialW -> Int | |
WPCurve BLS48581T Fq8 Fr Source # | Projective BLS48581T curve is a Weierstrass projective curve. |
WJCurve BLS48581T Fq8 Fr Source # | Jacobian BLS48581T curve is a Weierstrass Jacobian curve. |
WACurve BLS48581T Fq8 Fr Source # | Affine BLS48581T curve is a Weierstrass affine curve. |
Curve Weierstrass c BLS48581T Fq8 Fr => WCurve c BLS48581T Fq8 Fr Source # | BLS48581T curve is a Weierstrass curve. |
Defined in Curve.Weierstrass.BLS48581T |
type Fq4 = ExtensionField Fq2 PolynomialV Source #
data PolynomialV Source #
Instances
IrreducibleMonic Fq4 PolynomialW Source # | |
Defined in Curve.Weierstrass.BLS48581T split :: ExtensionField Fq4 PolynomialW -> VPoly Fq4 # deg' :: ExtensionField Fq4 PolynomialW -> Int | |
IrreducibleMonic Fq2 PolynomialV Source # | |
Defined in Curve.Weierstrass.BLS48581T split :: ExtensionField Fq2 PolynomialV -> VPoly Fq2 # deg' :: ExtensionField Fq2 PolynomialV -> Int | |
WPCurve BLS48581T Fq8 Fr Source # | Projective BLS48581T curve is a Weierstrass projective curve. |
WJCurve BLS48581T Fq8 Fr Source # | Jacobian BLS48581T curve is a Weierstrass Jacobian curve. |
WACurve BLS48581T Fq8 Fr Source # | Affine BLS48581T curve is a Weierstrass affine curve. |
Curve Weierstrass c BLS48581T Fq8 Fr => WCurve c BLS48581T Fq8 Fr Source # | BLS48581T curve is a Weierstrass curve. |
Defined in Curve.Weierstrass.BLS48581T |
type Fq2 = ExtensionField Fq PolynomialU Source #
data PolynomialU Source #
Field of points of BLS48581T curve.
Instances
IrreducibleMonic Fq PolynomialU Source # | |
Defined in Curve.Weierstrass.BLS48581T split :: ExtensionField Fq PolynomialU -> VPoly Fq # deg' :: ExtensionField Fq PolynomialU -> Int | |
IrreducibleMonic Fq4 PolynomialW Source # | |
Defined in Curve.Weierstrass.BLS48581T split :: ExtensionField Fq4 PolynomialW -> VPoly Fq4 # deg' :: ExtensionField Fq4 PolynomialW -> Int | |
IrreducibleMonic Fq2 PolynomialV Source # | |
Defined in Curve.Weierstrass.BLS48581T split :: ExtensionField Fq2 PolynomialV -> VPoly Fq2 # deg' :: ExtensionField Fq2 PolynomialV -> Int | |
WPCurve BLS48581T Fq8 Fr Source # | Projective BLS48581T curve is a Weierstrass projective curve. |
WJCurve BLS48581T Fq8 Fr Source # | Jacobian BLS48581T curve is a Weierstrass Jacobian curve. |
WACurve BLS48581T Fq8 Fr Source # | Affine BLS48581T curve is a Weierstrass affine curve. |
Curve Weierstrass c BLS48581T Fq8 Fr => WCurve c BLS48581T Fq8 Fr Source # | BLS48581T curve is a Weierstrass curve. |
Defined in Curve.Weierstrass.BLS48581T |
BLS48581T curve.
Instances
WPCurve BLS48581T Fq8 Fr Source # | Projective BLS48581T curve is a Weierstrass projective curve. |
WJCurve BLS48581T Fq8 Fr Source # | Jacobian BLS48581T curve is a Weierstrass Jacobian curve. |
WACurve BLS48581T Fq8 Fr Source # | Affine BLS48581T curve is a Weierstrass affine curve. |
Curve Weierstrass c BLS48581T Fq8 Fr => WCurve c BLS48581T Fq8 Fr Source # | BLS48581T curve is a Weierstrass curve. |
Defined in Curve.Weierstrass.BLS48581T |