BrainpoolP224T1.hs

module Curve.Weierstrass.BrainpoolP224T1
  ( Fp
  , P
  , _a
  , _b
  , _g
  , _h
  , _n
  , _p
  ) where

import Protolude

import PrimeField (PrimeField)

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

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

-- | Brainpool-P224T1 curve
data BrainpoolP224T1

-- | Field of Brainpool-P224T1 curve
type Fp = PrimeField 0xd7c134aa264366862a18302575d1d787b09f075797da89f57ec8c0ff

-- | Brainpool-P224T1 curve is a Weierstrass curve
instance WCurve BrainpoolP224T1 Fp where
  a_ = const _a
  {-# INLINE a_ #-}
  b_ = const _b
  {-# INLINE b_ #-}
  g_ = _g
  {-# INLINE g_ #-}

-- | Point of Brainpool-P224T1 curve
type P = WPoint BrainpoolP224T1 Fp

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

-- | Coefficient @A@ of Brainpool-P224T1 curve
_a :: Fp
_a = 0xd7c134aa264366862a18302575d1d787b09f075797da89f57ec8c0fc
{-# INLINE _a #-}

-- | Coefficient @B@ of Brainpool-P224T1 curve
_b :: Fp
_b = 0x4b337d934104cd7bef271bf60ced1ed20da14c08b3bb64f18a60888d
{-# INLINE _b #-}

-- | Generator of Brainpool-P224T1 curve
_g :: P
_g = A
     0x6ab1e344ce25ff3896424e7ffe14762ecb49f8928ac0c76029b4d580
     0x374e9f5143e568cd23f3f4d7c0d4b1e41c8cc0d1c6abd5f1a46db4c
{-# INLINE _g #-}

-- | Cofactor of Brainpool-P224T1 curve
_h :: Integer
_h = 1
{-# INLINE _h #-}

-- | Order of Brainpool-P224T1 curve
_n :: Integer
_n = 0xd7c134aa264366862a18302575d0fb98d116bc4b6ddebca3a5a7939f
{-# INLINE _n #-}

-- | Characteristic of Brainpool-P224T1 curve
_p :: Integer
_p = 0xd7c134aa264366862a18302575d1d787b09f075797da89f57ec8c0ff
{-# INLINE _p #-}