SECT163R1.hs

module Curve.Binary.SECT163R1
  ( F2m
  , P
  , _a
  , _b
  , _f
  , _g
  , _h
  , _n
  ) where

import Protolude

import BinaryField (BinaryField)

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

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

-- | SECT163R1 curve
data SECT163R1

-- | Field of SECT163R1 curve
type F2m = BinaryField 0x800000000000000000000000000000000000000c9

-- | SECT163R1 curve is a binary curve
instance BCurve SECT163R1 F2m where
  a_ = const _a
  {-# INLINE a_ #-}
  b_ = const _b
  {-# INLINE b_ #-}
  g_ = _g
  {-# INLINE g_ #-}

-- | Point of SECT163R1 curve
type P = BPoint SECT163R1 F2m

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

-- | Coefficient @A@ of SECT163R1 curve
_a :: F2m
_a = 0x7b6882caaefa84f9554ff8428bd88e246d2782ae2
{-# INLINE _a #-}

-- | Coefficient @B@ of SECT163R1 curve
_b :: F2m
_b = 0x713612dcddcb40aab946bda29ca91f73af958afd9
{-# INLINE _b #-}

-- | Polynomial of SECT163R1 curve
_f :: Integer
_f = 0x800000000000000000000000000000000000000c9
{-# INLINE _f #-}

-- | Generator of SECT163R1 curve
_g :: P
_g = A
     0x369979697ab43897789566789567f787a7876a654
     0x435edb42efafb2989d51fefce3c80988f41ff883
{-# INLINE _g #-}

-- | Cofactor of SECT163R1 curve
_h :: Integer
_h = 2
{-# INLINE _h #-}

-- | Order of SECT163R1 curve
_n :: Integer
_n = 0x3ffffffffffffffffffff48aab689c29ca710279b
{-# INLINE _n #-}