SECT131R2.hs

module Curve.Binary.SECT131R2
  ( F2m
  , P
  , _a
  , _b
  , _f
  , _g
  , _h
  , _n
  ) where

import Protolude

import BinaryField (BinaryField)

import Curve.Binary (BCurve(..), BPoint, Point(..))

-------------------------------------------------------------------------------
-- Types
-------------------------------------------------------------------------------

-- | SECT131R2 curve
data SECT131R2

-- | Field of SECT131R2 curve
type F2m = BinaryField 0x80000000000000000000000000000010d

-- | SECT131R2 curve is a binary curve
instance BCurve SECT131R2 F2m where
  a_ = const _a
  {-# INLINE a_ #-}
  b_ = const _b
  {-# INLINE b_ #-}
  g_ = _g
  {-# INLINE g_ #-}

-- | Point of SECT131R2 curve
type P = BPoint SECT131R2 F2m

-------------------------------------------------------------------------------
-- Parameters
-------------------------------------------------------------------------------

-- | Coefficient @A@ of SECT131R2 curve
_a :: F2m
_a = 0x3e5a88919d7cafcbf415f07c2176573b2
{-# INLINE _a #-}

-- | Coefficient @B@ of SECT131R2 curve
_b :: F2m
_b = 0x4b8266a46c55657ac734ce38f018f2192
{-# INLINE _b #-}

-- | Polynomial of SECT131R2 curve
_f :: Integer
_f = 0x80000000000000000000000000000010d
{-# INLINE _f #-}

-- | Generator of SECT131R2 curve
_g :: P
_g = A
     0x356dcd8f2f95031ad652d23951bb366a8
     0x648f06d867940a5366d9e265de9eb240f
{-# INLINE _g #-}

-- | Cofactor of SECT131R2 curve
_h :: Integer
_h = 2
{-# INLINE _h #-}

-- | Order of SECT131R2 curve
_n :: Integer
_n = 0x400000000000000016954a233049ba98f
{-# INLINE _n #-}