{-# LANGUAGE DeriveDataTypeable #-}
module Crypto.PubKey.ECC.Types
( Curve(..)
, Point(..)
, PublicPoint
, PrivateNumber
, CurveBinary(..)
, CurvePrime(..)
, common_curve
, curveSizeBits
, ecc_fx
, ecc_p
, CurveCommon(..)
, CurveName(..)
, getCurveByName
) where
import Data.Data
import Crypto.Internal.Imports
import Crypto.Number.Basic (numBits)
data Curve = CurveF2m CurveBinary
| CurveFP CurvePrime
deriving (Int -> Curve -> ShowS
[Curve] -> ShowS
Curve -> String
forall a.
(Int -> a -> ShowS) -> (a -> String) -> ([a] -> ShowS) -> Show a
showList :: [Curve] -> ShowS
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show :: Curve -> String
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showsPrec :: Int -> Curve -> ShowS
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Show,ReadPrec [Curve]
ReadPrec Curve
Int -> ReadS Curve
ReadS [Curve]
forall a.
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readListPrec :: ReadPrec [Curve]
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readPrec :: ReadPrec Curve
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readList :: ReadS [Curve]
$creadList :: ReadS [Curve]
readsPrec :: Int -> ReadS Curve
$creadsPrec :: Int -> ReadS Curve
Read,Curve -> Curve -> Bool
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Data)
type PublicPoint = Point
type PrivateNumber = Integer
data Point = Point Integer Integer
| PointO
deriving (Int -> Point -> ShowS
[Point] -> ShowS
Point -> String
forall a.
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showList :: [Point] -> ShowS
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readPrec :: ReadPrec Point
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readList :: ReadS [Point]
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readsPrec :: Int -> ReadS Point
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dataCast1 :: forall (t :: * -> *) (c :: * -> *).
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(forall d. Data d => c (t d)) -> Maybe (c Point)
$cdataCast1 :: forall (t :: * -> *) (c :: * -> *).
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(forall d. Data d => c (t d)) -> Maybe (c Point)
dataTypeOf :: Point -> DataType
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toConstr :: Point -> Constr
$ctoConstr :: Point -> Constr
gunfold :: forall (c :: * -> *).
(forall b r. Data b => c (b -> r) -> c r)
-> (forall r. r -> c r) -> Constr -> c Point
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-> (forall r. r -> c r) -> Constr -> c Point
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Data)
instance NFData Point where
rnf :: Point -> ()
rnf (Point Integer
x Integer
y) = Integer
x seq :: forall a b. a -> b -> b
`seq` Integer
y seq :: forall a b. a -> b -> b
`seq` ()
rnf Point
PointO = ()
data CurveBinary = CurveBinary Integer CurveCommon
deriving (Int -> CurveBinary -> ShowS
[CurveBinary] -> ShowS
CurveBinary -> String
forall a.
(Int -> a -> ShowS) -> (a -> String) -> ([a] -> ShowS) -> Show a
showList :: [CurveBinary] -> ShowS
$cshowList :: [CurveBinary] -> ShowS
show :: CurveBinary -> String
$cshow :: CurveBinary -> String
showsPrec :: Int -> CurveBinary -> ShowS
$cshowsPrec :: Int -> CurveBinary -> ShowS
Show,ReadPrec [CurveBinary]
ReadPrec CurveBinary
Int -> ReadS CurveBinary
ReadS [CurveBinary]
forall a.
(Int -> ReadS a)
-> ReadS [a] -> ReadPrec a -> ReadPrec [a] -> Read a
readListPrec :: ReadPrec [CurveBinary]
$creadListPrec :: ReadPrec [CurveBinary]
readPrec :: ReadPrec CurveBinary
$creadPrec :: ReadPrec CurveBinary
readList :: ReadS [CurveBinary]
$creadList :: ReadS [CurveBinary]
readsPrec :: Int -> ReadS CurveBinary
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Read,CurveBinary -> CurveBinary -> Bool
forall a. (a -> a -> Bool) -> (a -> a -> Bool) -> Eq a
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== :: CurveBinary -> CurveBinary -> Bool
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Eq,Typeable CurveBinary
CurveBinary -> DataType
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forall a.
Typeable a
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gmapMo :: forall (m :: * -> *).
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gmapQi :: forall u. Int -> (forall d. Data d => d -> u) -> CurveBinary -> u
$cgmapQi :: forall u. Int -> (forall d. Data d => d -> u) -> CurveBinary -> u
gmapQ :: forall u. (forall d. Data d => d -> u) -> CurveBinary -> [u]
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gmapQr :: forall r r'.
(r' -> r -> r)
-> r -> (forall d. Data d => d -> r') -> CurveBinary -> r
$cgmapQr :: forall r r'.
(r' -> r -> r)
-> r -> (forall d. Data d => d -> r') -> CurveBinary -> r
gmapQl :: forall r r'.
(r -> r' -> r)
-> r -> (forall d. Data d => d -> r') -> CurveBinary -> r
$cgmapQl :: forall r r'.
(r -> r' -> r)
-> r -> (forall d. Data d => d -> r') -> CurveBinary -> r
gmapT :: (forall b. Data b => b -> b) -> CurveBinary -> CurveBinary
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dataCast2 :: forall (t :: * -> * -> *) (c :: * -> *).
Typeable t =>
(forall d e. (Data d, Data e) => c (t d e))
-> Maybe (c CurveBinary)
$cdataCast2 :: forall (t :: * -> * -> *) (c :: * -> *).
Typeable t =>
(forall d e. (Data d, Data e) => c (t d e))
-> Maybe (c CurveBinary)
dataCast1 :: forall (t :: * -> *) (c :: * -> *).
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(forall d. Data d => c (t d)) -> Maybe (c CurveBinary)
$cdataCast1 :: forall (t :: * -> *) (c :: * -> *).
Typeable t =>
(forall d. Data d => c (t d)) -> Maybe (c CurveBinary)
dataTypeOf :: CurveBinary -> DataType
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toConstr :: CurveBinary -> Constr
$ctoConstr :: CurveBinary -> Constr
gunfold :: forall (c :: * -> *).
(forall b r. Data b => c (b -> r) -> c r)
-> (forall r. r -> c r) -> Constr -> c CurveBinary
$cgunfold :: forall (c :: * -> *).
(forall b r. Data b => c (b -> r) -> c r)
-> (forall r. r -> c r) -> Constr -> c CurveBinary
gfoldl :: forall (c :: * -> *).
(forall d b. Data d => c (d -> b) -> d -> c b)
-> (forall g. g -> c g) -> CurveBinary -> c CurveBinary
$cgfoldl :: forall (c :: * -> *).
(forall d b. Data d => c (d -> b) -> d -> c b)
-> (forall g. g -> c g) -> CurveBinary -> c CurveBinary
Data)
instance NFData CurveBinary where
rnf :: CurveBinary -> ()
rnf (CurveBinary Integer
i CurveCommon
cc) = Integer
i seq :: forall a b. a -> b -> b
`seq` CurveCommon
cc seq :: forall a b. a -> b -> b
`seq` ()
data CurvePrime = CurvePrime Integer CurveCommon
deriving (Int -> CurvePrime -> ShowS
[CurvePrime] -> ShowS
CurvePrime -> String
forall a.
(Int -> a -> ShowS) -> (a -> String) -> ([a] -> ShowS) -> Show a
showList :: [CurvePrime] -> ShowS
$cshowList :: [CurvePrime] -> ShowS
show :: CurvePrime -> String
$cshow :: CurvePrime -> String
showsPrec :: Int -> CurvePrime -> ShowS
$cshowsPrec :: Int -> CurvePrime -> ShowS
Show,ReadPrec [CurvePrime]
ReadPrec CurvePrime
Int -> ReadS CurvePrime
ReadS [CurvePrime]
forall a.
(Int -> ReadS a)
-> ReadS [a] -> ReadPrec a -> ReadPrec [a] -> Read a
readListPrec :: ReadPrec [CurvePrime]
$creadListPrec :: ReadPrec [CurvePrime]
readPrec :: ReadPrec CurvePrime
$creadPrec :: ReadPrec CurvePrime
readList :: ReadS [CurvePrime]
$creadList :: ReadS [CurvePrime]
readsPrec :: Int -> ReadS CurvePrime
$creadsPrec :: Int -> ReadS CurvePrime
Read,CurvePrime -> CurvePrime -> Bool
forall a. (a -> a -> Bool) -> (a -> a -> Bool) -> Eq a
/= :: CurvePrime -> CurvePrime -> Bool
$c/= :: CurvePrime -> CurvePrime -> Bool
== :: CurvePrime -> CurvePrime -> Bool
$c== :: CurvePrime -> CurvePrime -> Bool
Eq,Typeable CurvePrime
CurvePrime -> DataType
CurvePrime -> Constr
(forall b. Data b => b -> b) -> CurvePrime -> CurvePrime
forall a.
Typeable a
-> (forall (c :: * -> *).
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Data)
common_curve :: Curve -> CurveCommon
common_curve :: Curve -> CurveCommon
common_curve (CurveF2m (CurveBinary Integer
_ CurveCommon
cc)) = CurveCommon
cc
common_curve (CurveFP (CurvePrime Integer
_ CurveCommon
cc)) = CurveCommon
cc
ecc_fx :: CurveBinary -> Integer
ecc_fx :: CurveBinary -> Integer
ecc_fx (CurveBinary Integer
fx CurveCommon
_) = Integer
fx
ecc_p :: CurvePrime -> Integer
ecc_p :: CurvePrime -> Integer
ecc_p (CurvePrime Integer
p CurveCommon
_) = Integer
p
data CurveCommon = CurveCommon
{ CurveCommon -> Integer
ecc_a :: Integer
, CurveCommon -> Integer
ecc_b :: Integer
, CurveCommon -> Point
ecc_g :: Point
, CurveCommon -> Integer
ecc_n :: Integer
, CurveCommon -> Integer
ecc_h :: Integer
} deriving (Int -> CurveCommon -> ShowS
[CurveCommon] -> ShowS
CurveCommon -> String
forall a.
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showList :: [CurveCommon] -> ShowS
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showsPrec :: Int -> CurveCommon -> ShowS
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readPrec :: ReadPrec CurveCommon
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readList :: ReadS [CurveCommon]
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readsPrec :: Int -> ReadS CurveCommon
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Data)
data CurveName =
SEC_p112r1
| SEC_p112r2
| SEC_p128r1
| SEC_p128r2
| SEC_p160k1
| SEC_p160r1
| SEC_p160r2
| SEC_p192k1
| SEC_p192r1
| SEC_p224k1
| SEC_p224r1
| SEC_p256k1
| SEC_p256r1
| SEC_p384r1
| SEC_p521r1
| SEC_t113r1
| SEC_t113r2
| SEC_t131r1
| SEC_t131r2
| SEC_t163k1
| SEC_t163r1
| SEC_t163r2
| SEC_t193r1
| SEC_t193r2
| SEC_t233k1
| SEC_t233r1
| SEC_t239k1
| SEC_t283k1
| SEC_t283r1
| SEC_t409k1
| SEC_t409r1
| SEC_t571k1
| SEC_t571r1
deriving (Int -> CurveName -> ShowS
[CurveName] -> ShowS
CurveName -> String
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showList :: [CurveName] -> ShowS
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readPrec :: ReadPrec CurveName
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readList :: ReadS [CurveName]
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readsPrec :: Int -> ReadS CurveName
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min :: CurveName -> CurveName -> CurveName
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max :: CurveName -> CurveName -> CurveName
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enumFrom :: CurveName -> [CurveName]
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fromEnum :: CurveName -> Int
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pred :: CurveName -> CurveName
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Enum,CurveName
forall a. a -> a -> Bounded a
maxBound :: CurveName
$cmaxBound :: CurveName
minBound :: CurveName
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Data)
curveSizeBits :: Curve -> Int
curveSizeBits :: Curve -> Int
curveSizeBits (CurveFP CurvePrime
c) = Integer -> Int
numBits (CurvePrime -> Integer
ecc_p CurvePrime
c)
curveSizeBits (CurveF2m CurveBinary
c) = Integer -> Int
numBits (CurveBinary -> Integer
ecc_fx CurveBinary
c) forall a. Num a => a -> a -> a
- Int
1
getCurveByName :: CurveName -> Curve
getCurveByName :: CurveName -> Curve
getCurveByName CurveName
SEC_p112r1 = CurvePrime -> Curve
CurveFP forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurvePrime
CurvePrime
Integer
0xdb7c2abf62e35e668076bead208b
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0xdb7c2abf62e35e668076bead2088
, ecc_b :: Integer
ecc_b = Integer
0x659ef8ba043916eede8911702b22
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x09487239995a5ee76b55f9c2f098
Integer
0xa89ce5af8724c0a23e0e0ff77500
, ecc_n :: Integer
ecc_n = Integer
0xdb7c2abf62e35e7628dfac6561c5
, ecc_h :: Integer
ecc_h = Integer
1
})
getCurveByName CurveName
SEC_p112r2 = CurvePrime -> Curve
CurveFP forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurvePrime
CurvePrime
Integer
0xdb7c2abf62e35e668076bead208b
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x6127c24c05f38a0aaaf65c0ef02c
, ecc_b :: Integer
ecc_b = Integer
0x51def1815db5ed74fcc34c85d709
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x4ba30ab5e892b4e1649dd0928643
Integer
0xadcd46f5882e3747def36e956e97
, ecc_n :: Integer
ecc_n = Integer
0x36df0aafd8b8d7597ca10520d04b
, ecc_h :: Integer
ecc_h = Integer
4
})
getCurveByName CurveName
SEC_p128r1 = CurvePrime -> Curve
CurveFP forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurvePrime
CurvePrime
Integer
0xfffffffdffffffffffffffffffffffff
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0xfffffffdfffffffffffffffffffffffc
, ecc_b :: Integer
ecc_b = Integer
0xe87579c11079f43dd824993c2cee5ed3
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x161ff7528b899b2d0c28607ca52c5b86
Integer
0xcf5ac8395bafeb13c02da292dded7a83
, ecc_n :: Integer
ecc_n = Integer
0xfffffffe0000000075a30d1b9038a115
, ecc_h :: Integer
ecc_h = Integer
1
})
getCurveByName CurveName
SEC_p128r2 = CurvePrime -> Curve
CurveFP forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurvePrime
CurvePrime
Integer
0xfffffffdffffffffffffffffffffffff
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0xd6031998d1b3bbfebf59cc9bbff9aee1
, ecc_b :: Integer
ecc_b = Integer
0x5eeefca380d02919dc2c6558bb6d8a5d
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x7b6aa5d85e572983e6fb32a7cdebc140
Integer
0x27b6916a894d3aee7106fe805fc34b44
, ecc_n :: Integer
ecc_n = Integer
0x3fffffff7fffffffbe0024720613b5a3
, ecc_h :: Integer
ecc_h = Integer
4
})
getCurveByName CurveName
SEC_p160k1 = CurvePrime -> Curve
CurveFP forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurvePrime
CurvePrime
Integer
0x00fffffffffffffffffffffffffffffffeffffac73
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x000000000000000000000000000000000000000000
, ecc_b :: Integer
ecc_b = Integer
0x000000000000000000000000000000000000000007
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x003b4c382ce37aa192a4019e763036f4f5dd4d7ebb
Integer
0x00938cf935318fdced6bc28286531733c3f03c4fee
, ecc_n :: Integer
ecc_n = Integer
0x0100000000000000000001b8fa16dfab9aca16b6b3
, ecc_h :: Integer
ecc_h = Integer
1
})
getCurveByName CurveName
SEC_p160r1 = CurvePrime -> Curve
CurveFP forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurvePrime
CurvePrime
Integer
0x00ffffffffffffffffffffffffffffffff7fffffff
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x00ffffffffffffffffffffffffffffffff7ffffffc
, ecc_b :: Integer
ecc_b = Integer
0x001c97befc54bd7a8b65acf89f81d4d4adc565fa45
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x004a96b5688ef573284664698968c38bb913cbfc82
Integer
0x0023a628553168947d59dcc912042351377ac5fb32
, ecc_n :: Integer
ecc_n = Integer
0x0100000000000000000001f4c8f927aed3ca752257
, ecc_h :: Integer
ecc_h = Integer
1
})
getCurveByName CurveName
SEC_p160r2 = CurvePrime -> Curve
CurveFP forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurvePrime
CurvePrime
Integer
0x00fffffffffffffffffffffffffffffffeffffac73
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x00fffffffffffffffffffffffffffffffeffffac70
, ecc_b :: Integer
ecc_b = Integer
0x00b4e134d3fb59eb8bab57274904664d5af50388ba
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x0052dcb034293a117e1f4ff11b30f7199d3144ce6d
Integer
0x00feaffef2e331f296e071fa0df9982cfea7d43f2e
, ecc_n :: Integer
ecc_n = Integer
0x0100000000000000000000351ee786a818f3a1a16b
, ecc_h :: Integer
ecc_h = Integer
1
})
getCurveByName CurveName
SEC_p192k1 = CurvePrime -> Curve
CurveFP forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurvePrime
CurvePrime
Integer
0xfffffffffffffffffffffffffffffffffffffffeffffee37
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x000000000000000000000000000000000000000000000000
, ecc_b :: Integer
ecc_b = Integer
0x000000000000000000000000000000000000000000000003
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0xdb4ff10ec057e9ae26b07d0280b7f4341da5d1b1eae06c7d
Integer
0x9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d
, ecc_n :: Integer
ecc_n = Integer
0xfffffffffffffffffffffffe26f2fc170f69466a74defd8d
, ecc_h :: Integer
ecc_h = Integer
1
})
getCurveByName CurveName
SEC_p192r1 = CurvePrime -> Curve
CurveFP forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurvePrime
CurvePrime
Integer
0xfffffffffffffffffffffffffffffffeffffffffffffffff
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0xfffffffffffffffffffffffffffffffefffffffffffffffc
, ecc_b :: Integer
ecc_b = Integer
0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012
Integer
0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811
, ecc_n :: Integer
ecc_n = Integer
0xffffffffffffffffffffffff99def836146bc9b1b4d22831
, ecc_h :: Integer
ecc_h = Integer
1
})
getCurveByName CurveName
SEC_p224k1 = CurvePrime -> Curve
CurveFP forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurvePrime
CurvePrime
Integer
0x00fffffffffffffffffffffffffffffffffffffffffffffffeffffe56d
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x0000000000000000000000000000000000000000000000000000000000
, ecc_b :: Integer
ecc_b = Integer
0x0000000000000000000000000000000000000000000000000000000005
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x00a1455b334df099df30fc28a169a467e9e47075a90f7e650eb6b7a45c
Integer
0x007e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5
, ecc_n :: Integer
ecc_n = Integer
0x010000000000000000000000000001dce8d2ec6184caf0a971769fb1f7
, ecc_h :: Integer
ecc_h = Integer
1
})
getCurveByName CurveName
SEC_p224r1 = CurvePrime -> Curve
CurveFP forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurvePrime
CurvePrime
Integer
0xffffffffffffffffffffffffffffffff000000000000000000000001
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0xfffffffffffffffffffffffffffffffefffffffffffffffffffffffe
, ecc_b :: Integer
ecc_b = Integer
0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0xb70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21
Integer
0xbd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34
, ecc_n :: Integer
ecc_n = Integer
0xffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3d
, ecc_h :: Integer
ecc_h = Integer
1
})
getCurveByName CurveName
SEC_p256k1 = CurvePrime -> Curve
CurveFP forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurvePrime
CurvePrime
Integer
0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x0000000000000000000000000000000000000000000000000000000000000000
, ecc_b :: Integer
ecc_b = Integer
0x0000000000000000000000000000000000000000000000000000000000000007
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798
Integer
0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8
, ecc_n :: Integer
ecc_n = Integer
0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141
, ecc_h :: Integer
ecc_h = Integer
1
})
getCurveByName CurveName
SEC_p256r1 = CurvePrime -> Curve
CurveFP forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurvePrime
CurvePrime
Integer
0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0xffffffff00000001000000000000000000000000fffffffffffffffffffffffc
, ecc_b :: Integer
ecc_b = Integer
0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296
Integer
0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5
, ecc_n :: Integer
ecc_n = Integer
0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551
, ecc_h :: Integer
ecc_h = Integer
1
})
getCurveByName CurveName
SEC_p384r1 = CurvePrime -> Curve
CurveFP forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurvePrime
CurvePrime
Integer
0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffc
, ecc_b :: Integer
ecc_b = Integer
0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7
Integer
0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f
, ecc_n :: Integer
ecc_n = Integer
0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973
, ecc_h :: Integer
ecc_h = Integer
1
})
getCurveByName CurveName
SEC_p521r1 = CurvePrime -> Curve
CurveFP forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurvePrime
CurvePrime
Integer
0x01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc
, ecc_b :: Integer
ecc_b = Integer
0x0051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x00c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66
Integer
0x011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650
, ecc_n :: Integer
ecc_n = Integer
0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409
, ecc_h :: Integer
ecc_h = Integer
1
})
getCurveByName CurveName
SEC_t113r1 = CurveBinary -> Curve
CurveF2m forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurveBinary
CurveBinary
Integer
0x020000000000000000000000000201
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x003088250ca6e7c7fe649ce85820f7
, ecc_b :: Integer
ecc_b = Integer
0x00e8bee4d3e2260744188be0e9c723
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x009d73616f35f4ab1407d73562c10f
Integer
0x00a52830277958ee84d1315ed31886
, ecc_n :: Integer
ecc_n = Integer
0x0100000000000000d9ccec8a39e56f
, ecc_h :: Integer
ecc_h = Integer
2
})
getCurveByName CurveName
SEC_t113r2 = CurveBinary -> Curve
CurveF2m forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurveBinary
CurveBinary
Integer
0x020000000000000000000000000201
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x00689918dbec7e5a0dd6dfc0aa55c7
, ecc_b :: Integer
ecc_b = Integer
0x0095e9a9ec9b297bd4bf36e059184f
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x01a57a6a7b26ca5ef52fcdb8164797
Integer
0x00b3adc94ed1fe674c06e695baba1d
, ecc_n :: Integer
ecc_n = Integer
0x010000000000000108789b2496af93
, ecc_h :: Integer
ecc_h = Integer
2
})
getCurveByName CurveName
SEC_t131r1 = CurveBinary -> Curve
CurveF2m forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurveBinary
CurveBinary
Integer
0x080000000000000000000000000000010d
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x07a11b09a76b562144418ff3ff8c2570b8
, ecc_b :: Integer
ecc_b = Integer
0x0217c05610884b63b9c6c7291678f9d341
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x0081baf91fdf9833c40f9c181343638399
Integer
0x078c6e7ea38c001f73c8134b1b4ef9e150
, ecc_n :: Integer
ecc_n = Integer
0x0400000000000000023123953a9464b54d
, ecc_h :: Integer
ecc_h = Integer
2
})
getCurveByName CurveName
SEC_t131r2 = CurveBinary -> Curve
CurveF2m forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurveBinary
CurveBinary
Integer
0x080000000000000000000000000000010d
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x03e5a88919d7cafcbf415f07c2176573b2
, ecc_b :: Integer
ecc_b = Integer
0x04b8266a46c55657ac734ce38f018f2192
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x0356dcd8f2f95031ad652d23951bb366a8
Integer
0x0648f06d867940a5366d9e265de9eb240f
, ecc_n :: Integer
ecc_n = Integer
0x0400000000000000016954a233049ba98f
, ecc_h :: Integer
ecc_h = Integer
2
})
getCurveByName CurveName
SEC_t163k1 = CurveBinary -> Curve
CurveF2m forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurveBinary
CurveBinary
Integer
0x0800000000000000000000000000000000000000c9
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x000000000000000000000000000000000000000001
, ecc_b :: Integer
ecc_b = Integer
0x000000000000000000000000000000000000000001
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x02fe13c0537bbc11acaa07d793de4e6d5e5c94eee8
Integer
0x0289070fb05d38ff58321f2e800536d538ccdaa3d9
, ecc_n :: Integer
ecc_n = Integer
0x04000000000000000000020108a2e0cc0d99f8a5ef
, ecc_h :: Integer
ecc_h = Integer
2
})
getCurveByName CurveName
SEC_t163r1 = CurveBinary -> Curve
CurveF2m forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurveBinary
CurveBinary
Integer
0x0800000000000000000000000000000000000000c9
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x07b6882caaefa84f9554ff8428bd88e246d2782ae2
, ecc_b :: Integer
ecc_b = Integer
0x0713612dcddcb40aab946bda29ca91f73af958afd9
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x0369979697ab43897789566789567f787a7876a654
Integer
0x00435edb42efafb2989d51fefce3c80988f41ff883
, ecc_n :: Integer
ecc_n = Integer
0x03ffffffffffffffffffff48aab689c29ca710279b
, ecc_h :: Integer
ecc_h = Integer
2
})
getCurveByName CurveName
SEC_t163r2 = CurveBinary -> Curve
CurveF2m forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurveBinary
CurveBinary
Integer
0x0800000000000000000000000000000000000000c9
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x000000000000000000000000000000000000000001
, ecc_b :: Integer
ecc_b = Integer
0x020a601907b8c953ca1481eb10512f78744a3205fd
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x03f0eba16286a2d57ea0991168d4994637e8343e36
Integer
0x00d51fbc6c71a0094fa2cdd545b11c5c0c797324f1
, ecc_n :: Integer
ecc_n = Integer
0x040000000000000000000292fe77e70c12a4234c33
, ecc_h :: Integer
ecc_h = Integer
2
})
getCurveByName CurveName
SEC_t193r1 = CurveBinary -> Curve
CurveF2m forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurveBinary
CurveBinary
Integer
0x02000000000000000000000000000000000000000000008001
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x0017858feb7a98975169e171f77b4087de098ac8a911df7b01
, ecc_b :: Integer
ecc_b = Integer
0x00fdfb49bfe6c3a89facadaa7a1e5bbc7cc1c2e5d831478814
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x01f481bc5f0ff84a74ad6cdf6fdef4bf6179625372d8c0c5e1
Integer
0x0025e399f2903712ccf3ea9e3a1ad17fb0b3201b6af7ce1b05
, ecc_n :: Integer
ecc_n = Integer
0x01000000000000000000000000c7f34a778f443acc920eba49
, ecc_h :: Integer
ecc_h = Integer
2
})
getCurveByName CurveName
SEC_t193r2 = CurveBinary -> Curve
CurveF2m forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurveBinary
CurveBinary
Integer
0x02000000000000000000000000000000000000000000008001
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x0163f35a5137c2ce3ea6ed8667190b0bc43ecd69977702709b
, ecc_b :: Integer
ecc_b = Integer
0x00c9bb9e8927d4d64c377e2ab2856a5b16e3efb7f61d4316ae
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x00d9b67d192e0367c803f39e1a7e82ca14a651350aae617e8f
Integer
0x01ce94335607c304ac29e7defbd9ca01f596f927224cdecf6c
, ecc_n :: Integer
ecc_n = Integer
0x010000000000000000000000015aab561b005413ccd4ee99d5
, ecc_h :: Integer
ecc_h = Integer
2
})
getCurveByName CurveName
SEC_t233k1 = CurveBinary -> Curve
CurveF2m forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurveBinary
CurveBinary
Integer
0x020000000000000000000000000000000000000004000000000000000001
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x000000000000000000000000000000000000000000000000000000000000
, ecc_b :: Integer
ecc_b = Integer
0x000000000000000000000000000000000000000000000000000000000001
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x017232ba853a7e731af129f22ff4149563a419c26bf50a4c9d6eefad6126
Integer
0x01db537dece819b7f70f555a67c427a8cd9bf18aeb9b56e0c11056fae6a3
, ecc_n :: Integer
ecc_n = Integer
0x008000000000000000000000000000069d5bb915bcd46efb1ad5f173abdf
, ecc_h :: Integer
ecc_h = Integer
4
})
getCurveByName CurveName
SEC_t233r1 = CurveBinary -> Curve
CurveF2m forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurveBinary
CurveBinary
Integer
0x020000000000000000000000000000000000000004000000000000000001
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x000000000000000000000000000000000000000000000000000000000001
, ecc_b :: Integer
ecc_b = Integer
0x0066647ede6c332c7f8c0923bb58213b333b20e9ce4281fe115f7d8f90ad
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x00fac9dfcbac8313bb2139f1bb755fef65bc391f8b36f8f8eb7371fd558b
Integer
0x01006a08a41903350678e58528bebf8a0beff867a7ca36716f7e01f81052
, ecc_n :: Integer
ecc_n = Integer
0x01000000000000000000000000000013e974e72f8a6922031d2603cfe0d7
, ecc_h :: Integer
ecc_h = Integer
2
})
getCurveByName CurveName
SEC_t239k1 = CurveBinary -> Curve
CurveF2m forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurveBinary
CurveBinary
Integer
0x800000000000000000004000000000000000000000000000000000000001
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x000000000000000000000000000000000000000000000000000000000000
, ecc_b :: Integer
ecc_b = Integer
0x000000000000000000000000000000000000000000000000000000000001
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x29a0b6a887a983e9730988a68727a8b2d126c44cc2cc7b2a6555193035dc
Integer
0x76310804f12e549bdb011c103089e73510acb275fc312a5dc6b76553f0ca
, ecc_n :: Integer
ecc_n = Integer
0x2000000000000000000000000000005a79fec67cb6e91f1c1da800e478a5
, ecc_h :: Integer
ecc_h = Integer
4
})
getCurveByName CurveName
SEC_t283k1 = CurveBinary -> Curve
CurveF2m forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurveBinary
CurveBinary
Integer
0x0800000000000000000000000000000000000000000000000000000000000000000010a1
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x000000000000000000000000000000000000000000000000000000000000000000000000
, ecc_b :: Integer
ecc_b = Integer
0x000000000000000000000000000000000000000000000000000000000000000000000001
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x0503213f78ca44883f1a3b8162f188e553cd265f23c1567a16876913b0c2ac2458492836
Integer
0x01ccda380f1c9e318d90f95d07e5426fe87e45c0e8184698e45962364e34116177dd2259
, ecc_n :: Integer
ecc_n = Integer
0x01ffffffffffffffffffffffffffffffffffe9ae2ed07577265dff7f94451e061e163c61
, ecc_h :: Integer
ecc_h = Integer
4
})
getCurveByName CurveName
SEC_t283r1 = CurveBinary -> Curve
CurveF2m forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurveBinary
CurveBinary
Integer
0x0800000000000000000000000000000000000000000000000000000000000000000010a1
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x000000000000000000000000000000000000000000000000000000000000000000000001
, ecc_b :: Integer
ecc_b = Integer
0x027b680ac8b8596da5a4af8a19a0303fca97fd7645309fa2a581485af6263e313b79a2f5
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x05f939258db7dd90e1934f8c70b0dfec2eed25b8557eac9c80e2e198f8cdbecd86b12053
Integer
0x03676854fe24141cb98fe6d4b20d02b4516ff702350eddb0826779c813f0df45be8112f4
, ecc_n :: Integer
ecc_n = Integer
0x03ffffffffffffffffffffffffffffffffffef90399660fc938a90165b042a7cefadb307
, ecc_h :: Integer
ecc_h = Integer
2
})
getCurveByName CurveName
SEC_t409k1 = CurveBinary -> Curve
CurveF2m forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurveBinary
CurveBinary
Integer
0x02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
, ecc_b :: Integer
ecc_b = Integer
0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x0060f05f658f49c1ad3ab1890f7184210efd0987e307c84c27accfb8f9f67cc2c460189eb5aaaa62ee222eb1b35540cfe9023746
Integer
0x01e369050b7c4e42acba1dacbf04299c3460782f918ea427e6325165e9ea10e3da5f6c42e9c55215aa9ca27a5863ec48d8e0286b
, ecc_n :: Integer
ecc_n = Integer
0x007ffffffffffffffffffffffffffffffffffffffffffffffffffe5f83b2d4ea20400ec4557d5ed3e3e7ca5b4b5c83b8e01e5fcf
, ecc_h :: Integer
ecc_h = Integer
4
})
getCurveByName CurveName
SEC_t409r1 = CurveBinary -> Curve
CurveF2m forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurveBinary
CurveBinary
Integer
0x02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
, ecc_b :: Integer
ecc_b = Integer
0x0021a5c2c8ee9feb5c4b9a753b7b476b7fd6422ef1f3dd674761fa99d6ac27c8a9a197b272822f6cd57a55aa4f50ae317b13545f
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x015d4860d088ddb3496b0c6064756260441cde4af1771d4db01ffe5b34e59703dc255a868a1180515603aeab60794e54bb7996a7
Integer
0x0061b1cfab6be5f32bbfa78324ed106a7636b9c5a7bd198d0158aa4f5488d08f38514f1fdf4b4f40d2181b3681c364ba0273c706
, ecc_n :: Integer
ecc_n = Integer
0x010000000000000000000000000000000000000000000000000001e2aad6a612f33307be5fa47c3c9e052f838164cd37d9a21173
, ecc_h :: Integer
ecc_h = Integer
2
})
getCurveByName CurveName
SEC_t571k1 = CurveBinary -> Curve
CurveF2m forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurveBinary
CurveBinary
Integer
0x080000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
, ecc_b :: Integer
ecc_b = Integer
0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x026eb7a859923fbc82189631f8103fe4ac9ca2970012d5d46024804801841ca44370958493b205e647da304db4ceb08cbbd1ba39494776fb988b47174dca88c7e2945283a01c8972
Integer
0x0349dc807f4fbf374f4aeade3bca95314dd58cec9f307a54ffc61efc006d8a2c9d4979c0ac44aea74fbebbb9f772aedcb620b01a7ba7af1b320430c8591984f601cd4c143ef1c7a3
, ecc_n :: Integer
ecc_n = Integer
0x020000000000000000000000000000000000000000000000000000000000000000000000131850e1f19a63e4b391a8db917f4138b630d84be5d639381e91deb45cfe778f637c1001
, ecc_h :: Integer
ecc_h = Integer
4
})
getCurveByName CurveName
SEC_t571r1 = CurveBinary -> Curve
CurveF2m forall a b. (a -> b) -> a -> b
$ Integer -> CurveCommon -> CurveBinary
CurveBinary
Integer
0x080000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425
(CurveCommon
{ ecc_a :: Integer
ecc_a = Integer
0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
, ecc_b :: Integer
ecc_b = Integer
0x02f40e7e2221f295de297117b7f3d62f5c6a97ffcb8ceff1cd6ba8ce4a9a18ad84ffabbd8efa59332be7ad6756a66e294afd185a78ff12aa520e4de739baca0c7ffeff7f2955727a
, ecc_g :: Point
ecc_g = Integer -> Integer -> Point
Point Integer
0x0303001d34b856296c16c0d40d3cd7750a93d1d2955fa80aa5f40fc8db7b2abdbde53950f4c0d293cdd711a35b67fb1499ae60038614f1394abfa3b4c850d927e1e7769c8eec2d19
Integer
0x037bf27342da639b6dccfffeb73d69d78c6c27a6009cbbca1980f8533921e8a684423e43bab08a576291af8f461bb2a8b3531d2f0485c19b16e2f1516e23dd3c1a4827af1b8ac15b
, ecc_n :: Integer
ecc_n = Integer
0x03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe661ce18ff55987308059b186823851ec7dd9ca1161de93d5174d66e8382e9bb2fe84e47
, ecc_h :: Integer
ecc_h = Integer
2
})