License	BSD-style
Maintainer	Vincent Hanquez <vincent@snarc.org>
Stability	Experimental
Portability	Excellent
Safe Haskell	Safe
Language	Haskell98

Crypto.Types.PubKey.ECC

Contents

recommended curves definition

Description

references: https://tools.ietf.org/html/rfc5915

Synopsis

data Curve
- = CurveF2m CurveBinary
- | CurveFP CurvePrime
data Point
- = Point Integer Integer
- | PointO
type PublicPoint = Point
type PrivateNumber = Integer
data CurveBinary = CurveBinary Integer CurveCommon
data CurvePrime = CurvePrime Integer CurveCommon
common_curve :: Curve -> CurveCommon
ecc_fx :: CurveBinary -> Integer
ecc_p :: CurvePrime -> Integer
data CurveCommon = CurveCommon {
- ecc_a :: Integer
- ecc_b :: Integer
- ecc_g :: Point
- ecc_n :: Integer
- ecc_h :: Integer
}
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
getCurveByName :: CurveName -> Curve

Documentation

data Curve #

Define either a binary curve or a prime curve.

Constructors

CurveF2m CurveBinary	𝔽(2^m)
CurveFP CurvePrime	𝔽p

Instances

Eq Curve #
Instance details Defined in Crypto.Types.PubKey.ECC Methods (==) :: Curve -> Curve -> Bool # (/=) :: Curve -> Curve -> Bool #
Data Curve #
Instance details Defined in Crypto.Types.PubKey.ECC Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Curve -> c Curve # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Curve # toConstr :: Curve -> Constr # dataTypeOf :: Curve -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Curve) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Curve) # gmapT :: (forall b. Data b => b -> b) -> Curve -> Curve # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Curve -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Curve -> r # gmapQ :: (forall d. Data d => d -> u) -> Curve -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Curve -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Curve -> m Curve # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Curve -> m Curve # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Curve -> m Curve #
Read Curve #
Instance details Defined in Crypto.Types.PubKey.ECC Methods readsPrec :: Int -> ReadS Curve # readList :: ReadS [Curve] # readPrec :: ReadPrec Curve # readListPrec :: ReadPrec [Curve] #
Show Curve #
Instance details Defined in Crypto.Types.PubKey.ECC Methods showsPrec :: Int -> Curve -> ShowS # show :: Curve -> String # showList :: [Curve] -> ShowS #

data Point #

Define a point on a curve.

Constructors

Point Integer Integer
PointO	Point at Infinity

Instances

Eq Point #
Instance details Defined in Crypto.Types.PubKey.ECC Methods (==) :: Point -> Point -> Bool # (/=) :: Point -> Point -> Bool #
Data Point #
Instance details Defined in Crypto.Types.PubKey.ECC Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Point -> c Point # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Point # toConstr :: Point -> Constr # dataTypeOf :: Point -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Point) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Point) # gmapT :: (forall b. Data b => b -> b) -> Point -> Point # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Point -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Point -> r # gmapQ :: (forall d. Data d => d -> u) -> Point -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Point -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Point -> m Point # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Point -> m Point # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Point -> m Point #
Read Point #
Instance details Defined in Crypto.Types.PubKey.ECC Methods readsPrec :: Int -> ReadS Point # readList :: ReadS [Point] # readPrec :: ReadPrec Point # readListPrec :: ReadPrec [Point] #
Show Point #
Instance details Defined in Crypto.Types.PubKey.ECC Methods showsPrec :: Int -> Point -> ShowS # show :: Point -> String # showList :: [Point] -> ShowS #

type PublicPoint = Point #

ECC Public Point

type PrivateNumber = Integer #

ECC Private Number

data CurveBinary #

Define an elliptic curve in 𝔽(2^m). The firt parameter is the Integer representatioin of the irreducible polynomial f(x).

Constructors

CurveBinary Integer CurveCommon

Instances

Eq CurveBinary #
Instance details Defined in Crypto.Types.PubKey.ECC Methods (==) :: CurveBinary -> CurveBinary -> Bool # (/=) :: CurveBinary -> CurveBinary -> Bool #
Data CurveBinary #
Instance details Defined in Crypto.Types.PubKey.ECC Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> CurveBinary -> c CurveBinary # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c CurveBinary # toConstr :: CurveBinary -> Constr # dataTypeOf :: CurveBinary -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c CurveBinary) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c CurveBinary) # gmapT :: (forall b. Data b => b -> b) -> CurveBinary -> CurveBinary # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> CurveBinary -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> CurveBinary -> r # gmapQ :: (forall d. Data d => d -> u) -> CurveBinary -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> CurveBinary -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> CurveBinary -> m CurveBinary # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> CurveBinary -> m CurveBinary # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> CurveBinary -> m CurveBinary #
Read CurveBinary #
Instance details Defined in Crypto.Types.PubKey.ECC Methods readsPrec :: Int -> ReadS CurveBinary # readList :: ReadS [CurveBinary] # readPrec :: ReadPrec CurveBinary # readListPrec :: ReadPrec [CurveBinary] #
Show CurveBinary #
Instance details Defined in Crypto.Types.PubKey.ECC Methods showsPrec :: Int -> CurveBinary -> ShowS # show :: CurveBinary -> String # showList :: [CurveBinary] -> ShowS #

data CurvePrime #

Define an elliptic curve in 𝔽p. The first parameter is the Prime Number.

Constructors

CurvePrime Integer CurveCommon

Instances

Eq CurvePrime #
Instance details Defined in Crypto.Types.PubKey.ECC Methods (==) :: CurvePrime -> CurvePrime -> Bool # (/=) :: CurvePrime -> CurvePrime -> Bool #
Data CurvePrime #
Instance details Defined in Crypto.Types.PubKey.ECC Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> CurvePrime -> c CurvePrime # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c CurvePrime # toConstr :: CurvePrime -> Constr # dataTypeOf :: CurvePrime -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c CurvePrime) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c CurvePrime) # gmapT :: (forall b. Data b => b -> b) -> CurvePrime -> CurvePrime # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> CurvePrime -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> CurvePrime -> r # gmapQ :: (forall d. Data d => d -> u) -> CurvePrime -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> CurvePrime -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> CurvePrime -> m CurvePrime # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> CurvePrime -> m CurvePrime # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> CurvePrime -> m CurvePrime #
Read CurvePrime #
Instance details Defined in Crypto.Types.PubKey.ECC Methods readsPrec :: Int -> ReadS CurvePrime # readList :: ReadS [CurvePrime] # readPrec :: ReadPrec CurvePrime # readListPrec :: ReadPrec [CurvePrime] #
Show CurvePrime #
Instance details Defined in Crypto.Types.PubKey.ECC Methods showsPrec :: Int -> CurvePrime -> ShowS # show :: CurvePrime -> String # showList :: [CurvePrime] -> ShowS #

common_curve :: Curve -> CurveCommon #

Parameters in common between binary and prime curves.

ecc_fx :: CurveBinary -> Integer #

Irreducible polynomial representing the characteristic of a CurveBinary.

ecc_p :: CurvePrime -> Integer #

Prime number representing the characteristic of a CurvePrime.

data CurveCommon #

Define common parameters in a curve definition of the form: y^2 = x^3 + ax + b.

Constructors

CurveCommon
Fields ecc_a :: Integer curve parameter a ecc_b :: Integer curve parameter b ecc_g :: Point base point ecc_n :: Integer order of G ecc_h :: Integer cofactor

Instances

Eq CurveCommon #
Instance details Defined in Crypto.Types.PubKey.ECC Methods (==) :: CurveCommon -> CurveCommon -> Bool # (/=) :: CurveCommon -> CurveCommon -> Bool #
Data CurveCommon #
Instance details Defined in Crypto.Types.PubKey.ECC Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> CurveCommon -> c CurveCommon # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c CurveCommon # toConstr :: CurveCommon -> Constr # dataTypeOf :: CurveCommon -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c CurveCommon) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c CurveCommon) # gmapT :: (forall b. Data b => b -> b) -> CurveCommon -> CurveCommon # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> CurveCommon -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> CurveCommon -> r # gmapQ :: (forall d. Data d => d -> u) -> CurveCommon -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> CurveCommon -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> CurveCommon -> m CurveCommon # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> CurveCommon -> m CurveCommon # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> CurveCommon -> m CurveCommon #
Read CurveCommon #
Instance details Defined in Crypto.Types.PubKey.ECC Methods readsPrec :: Int -> ReadS CurveCommon # readList :: ReadS [CurveCommon] # readPrec :: ReadPrec CurveCommon # readListPrec :: ReadPrec [CurveCommon] #
Show CurveCommon #
Instance details Defined in Crypto.Types.PubKey.ECC Methods showsPrec :: Int -> CurveCommon -> ShowS # show :: CurveCommon -> String # showList :: [CurveCommon] -> ShowS #

recommended curves definition

data CurveName #

Define names for known recommended curves.

Instances

Enum CurveName #
Instance details Defined in Crypto.Types.PubKey.ECC Methods succ :: CurveName -> CurveName # pred :: CurveName -> CurveName # toEnum :: Int -> CurveName # fromEnum :: CurveName -> Int # enumFrom :: CurveName -> [CurveName] # enumFromThen :: CurveName -> CurveName -> [CurveName] # enumFromTo :: CurveName -> CurveName -> [CurveName] # enumFromThenTo :: CurveName -> CurveName -> CurveName -> [CurveName] #
Eq CurveName #
Instance details Defined in Crypto.Types.PubKey.ECC Methods (==) :: CurveName -> CurveName -> Bool # (/=) :: CurveName -> CurveName -> Bool #
Data CurveName #
Instance details Defined in Crypto.Types.PubKey.ECC Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> CurveName -> c CurveName # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c CurveName # toConstr :: CurveName -> Constr # dataTypeOf :: CurveName -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c CurveName) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c CurveName) # gmapT :: (forall b. Data b => b -> b) -> CurveName -> CurveName # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> CurveName -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> CurveName -> r # gmapQ :: (forall d. Data d => d -> u) -> CurveName -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> CurveName -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> CurveName -> m CurveName # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> CurveName -> m CurveName # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> CurveName -> m CurveName #
Ord CurveName #
Instance details Defined in Crypto.Types.PubKey.ECC Methods compare :: CurveName -> CurveName -> Ordering # (<) :: CurveName -> CurveName -> Bool # (<=) :: CurveName -> CurveName -> Bool # (>) :: CurveName -> CurveName -> Bool # (>=) :: CurveName -> CurveName -> Bool # max :: CurveName -> CurveName -> CurveName # min :: CurveName -> CurveName -> CurveName #
Read CurveName #
Instance details Defined in Crypto.Types.PubKey.ECC Methods readsPrec :: Int -> ReadS CurveName # readList :: ReadS [CurveName] # readPrec :: ReadPrec CurveName # readListPrec :: ReadPrec [CurveName] #
Show CurveName #
Instance details Defined in Crypto.Types.PubKey.ECC Methods showsPrec :: Int -> CurveName -> ShowS # show :: CurveName -> String # showList :: [CurveName] -> ShowS #
OIDable CurveName #
Instance details Defined in Crypto.Types.PubKey.ECC Methods getObjectID :: CurveName -> OID #
OIDNameable CurveName #
Instance details Defined in Crypto.Types.PubKey.ECC Methods fromObjectID :: OID -> Maybe CurveName #

getCurveByName :: CurveName -> Curve #

Get the curve definition associated with a recommended known curve name.

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