module Data.Curve.Binary.SECT283R1
( module Data.Curve.Binary
, Point(..)
, module Data.Curve.Binary.SECT283R1
) where
import Protolude
import Data.Field.Galois
import GHC.Natural (Natural)
import Data.Curve.Binary
data SECT283R1
type F2m = Binary P
type P = 0x800000000000000000000000000000000000000000000000000000000000000000010a1
type Fr = Prime R
type R = 0x3ffffffffffffffffffffffffffffffffffef90399660fc938a90165b042a7cefadb307
instance Curve 'Binary c SECT283R1 F2m Fr => BCurve c SECT283R1 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_ #-}
type PA = BAPoint SECT283R1 F2m Fr
instance BACurve SECT283R1 F2m Fr where
gA_ = gA
{-# INLINABLE gA_ #-}
type PP = BPPoint SECT283R1 F2m Fr
instance BPCurve SECT283R1 F2m Fr where
gP_ = gP
{-# INLINABLE gP_ #-}
_a :: F2m
_a = 0x1
{-# INLINABLE _a #-}
_b :: F2m
_b = 0x27b680ac8b8596da5a4af8a19a0303fca97fd7645309fa2a581485af6263e313b79a2f5
{-# INLINABLE _b #-}
_h :: Natural
_h = 0x2
{-# INLINABLE _h #-}
_p :: Natural
_p = 0x800000000000000000000000000000000000000000000000000000000000000000010a1
{-# INLINABLE _p #-}
_r :: Natural
_r = 0x3ffffffffffffffffffffffffffffffffffef90399660fc938a90165b042a7cefadb307
{-# INLINABLE _r #-}
_x :: F2m
_x = 0x5f939258db7dd90e1934f8c70b0dfec2eed25b8557eac9c80e2e198f8cdbecd86b12053
{-# INLINABLE _x #-}
_y :: F2m
_y = 0x3676854fe24141cb98fe6d4b20d02b4516ff702350eddb0826779c813f0df45be8112f4
{-# INLINABLE _y #-}
gA :: PA
gA = A _x _y
{-# INLINABLE gA #-}
gP :: PP
gP = P _x _y 1
{-# INLINABLE gP #-}