BrainpoolP256R1.hs

module Curve.Weierstrass.BrainpoolP256R1
  ( Fp
  , P
  , _a
  , _b
  , _g
  , _h
  , _n
  , _p
  ) where

import Protolude

import PrimeField (PrimeField)

import Curve.Weierstrass (Point(..), WCurve(..), WPoint)

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

-- | Brainpool-P256R1 curve
data BrainpoolP256R1

-- | Field of Brainpool-P256R1 curve
type Fp = PrimeField 0xa9fb57dba1eea9bc3e660a909d838d726e3bf623d52620282013481d1f6e5377

-- | Brainpool-P256R1 curve is a Weierstrass curve
instance WCurve BrainpoolP256R1 Fp where
  a_ = const _a
  {-# INLINE a_ #-}
  b_ = const _b
  {-# INLINE b_ #-}
  g_ = _g
  {-# INLINE g_ #-}

-- | Point of Brainpool-P256R1 curve
type P = WPoint BrainpoolP256R1 Fp

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

-- | Coefficient @A@ of Brainpool-P256R1 curve
_a :: Fp
_a = 0x7d5a0975fc2c3057eef67530417affe7fb8055c126dc5c6ce94a4b44f330b5d9
{-# INLINE _a #-}

-- | Coefficient @B@ of Brainpool-P256R1 curve
_b :: Fp
_b = 0x26dc5c6ce94a4b44f330b5d9bbd77cbf958416295cf7e1ce6bccdc18ff8c07b6
{-# INLINE _b #-}

-- | Generator of Brainpool-P256R1 curve
_g :: P
_g = A
     0x8bd2aeb9cb7e57cb2c4b482ffc81b7afb9de27e1e3bd23c23a4453bd9ace3262
     0x547ef835c3dac4fd97f8461a14611dc9c27745132ded8e545c1d54c72f046997
{-# INLINE _g #-}

-- | Cofactor of Brainpool-P256R1 curve
_h :: Integer
_h = 1
{-# INLINE _h #-}

-- | Order of Brainpool-P256R1 curve
_n :: Integer
_n = 0xa9fb57dba1eea9bc3e660a909d838d718c397aa3b561a6f7901e0e82974856a7
{-# INLINE _n #-}

-- | Characteristic of Brainpool-P256R1 curve
_p :: Integer
_p = 0xa9fb57dba1eea9bc3e660a909d838d726e3bf623d52620282013481d1f6e5377
{-# INLINE _p #-}