BrainpoolP384T1.hs

module Curve.Weierstrass.BrainpoolP384T1
  ( Fp
  , P
  , _a
  , _b
  , _g
  , _h
  , _n
  , _p
  ) where

import Protolude

import PrimeField (PrimeField)

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

-------------------------------------------------------------------------------
-- Type
-------------------------------------------------------------------------------

-- | Brainpool-P384T1 curve
data BrainpoolP384T1

-- | Field of Brainpool-P384T1 curve
type Fp = PrimeField 0x8cb91e82a3386d280f5d6f7e50e641df152f7109ed5456b412b1da197fb71123acd3a729901d1a71874700133107ec53

-- | Brainpool-P384T1 curve is a Weierstrass curve
instance WCurve BrainpoolP384T1 Fp where
  a_ = const _a
  {-# INLINE a_ #-}
  b_ = const _b
  {-# INLINE b_ #-}
  g_ = _g
  {-# INLINE g_ #-}

-- | Point of Brainpool-P384T1 curve
type P = WPoint BrainpoolP384T1 Fp

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

-- | Coefficient @A@ of Brainpool-P384T1 curve
_a :: Fp
_a = 0x8cb91e82a3386d280f5d6f7e50e641df152f7109ed5456b412b1da197fb71123acd3a729901d1a71874700133107ec50
{-# INLINE _a #-}

-- | Coefficient @B@ of Brainpool-P384T1 curve
_b :: Fp
_b = 0x7f519eada7bda81bd826dba647910f8c4b9346ed8ccdc64e4b1abd11756dce1d2074aa263b88805ced70355a33b471ee
{-# INLINE _b #-}

-- | Generator of Brainpool-P384T1 curve
_g :: P
_g = A
     0x18de98b02db9a306f2afcd7235f72a819b80ab12ebd653172476fecd462aabffc4ff191b946a5f54d8d0aa2f418808cc
     0x25ab056962d30651a114afd2755ad336747f93475b7a1fca3b88f2b6a208ccfe469408584dc2b2912675bf5b9e582928
{-# INLINE _g #-}

-- | Cofactor of Brainpool-P384T1 curve
_h :: Integer
_h = 1
{-# INLINE _h #-}

-- | Order of Brainpool-P384T1 curve
_n :: Integer
_n = 0x8cb91e82a3386d280f5d6f7e50e641df152f7109ed5456b31f166e6cac0425a7cf3ab6af6b7fc3103b883202e9046565
{-# INLINE _n #-}

-- | Characteristic of Brainpool-P384T1 curve
_p :: Integer
_p = 0x8cb91e82a3386d280f5d6f7e50e641df152f7109ed5456b412b1da197fb71123acd3a729901d1a71874700133107ec53
{-# INLINE _p #-}