module Curve.Binary.SECT409R1
( module Curve.Binary
, module Curve.Binary.SECT409R1
, Point(..)
) where
import Protolude
import BinaryField
import PrimeField
import Curve.Binary
data SECT409R1
type F2m = BinaryField 0x2000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001
type Fr = PrimeField 0x10000000000000000000000000000000000000000000000000001e2aad6a612f33307be5fa47c3c9e052f838164cd37d9a21173
instance Curve 'Binary c SECT409R1 F2m Fr => BCurve c SECT409R1 F2m Fr where
a_ = const _a
{-# INLINABLE a_ #-}
b_ = const _b
{-# INLINABLE b_ #-}
h_ = const _h
{-# INLINABLE h_ #-}
p_ = const _p
{-# INLINABLE p_ #-}
r_ = const _r
{-# INLINABLE r_ #-}
x_ = const _x
{-# INLINABLE x_ #-}
y_ = const _y
{-# INLINABLE y_ #-}
type PA = BAPoint SECT409R1 F2m Fr
instance BACurve SECT409R1 F2m Fr where
gA_ = gA
{-# INLINABLE gA_ #-}
type PP = BPPoint SECT409R1 F2m Fr
instance BPCurve SECT409R1 F2m Fr where
gP_ = gP
{-# INLINABLE gP_ #-}
_a :: F2m
_a = 0x1
{-# INLINABLE _a #-}
_b :: F2m
_b = 0x21a5c2c8ee9feb5c4b9a753b7b476b7fd6422ef1f3dd674761fa99d6ac27c8a9a197b272822f6cd57a55aa4f50ae317b13545f
{-# INLINABLE _b #-}
_h :: Integer
_h = 0x2
{-# INLINABLE _h #-}
_p :: Integer
_p = 0x2000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001
{-# INLINABLE _p #-}
_r :: Integer
_r = 0x10000000000000000000000000000000000000000000000000001e2aad6a612f33307be5fa47c3c9e052f838164cd37d9a21173
{-# INLINABLE _r #-}
_x :: F2m
_x = 0x15d4860d088ddb3496b0c6064756260441cde4af1771d4db01ffe5b34e59703dc255a868a1180515603aeab60794e54bb7996a7
{-# INLINABLE _x #-}
_y :: F2m
_y = 0x61b1cfab6be5f32bbfa78324ed106a7636b9c5a7bd198d0158aa4f5488d08f38514f1fdf4b4f40d2181b3681c364ba0273c706
{-# INLINABLE _y #-}
gA :: PA
gA = A _x _y
{-# INLINABLE gA #-}
gP :: PP
gP = P _x _y 1
{-# INLINABLE gP #-}