License	BSD-style
Maintainer	Vincent Hanquez <vincent@snarc.org>
Stability	Experimental
Portability	Excellent
Safe Haskell	Safe-Inferred
Language	Haskell2010

Crypto.PubKey.ECC.Types

Contents

Recommended curves definition

Description

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
curveSizeBits :: Curve -> Int
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 Source #

Define either a binary curve or a prime curve.

Constructors

CurveF2m CurveBinary	𝔽(2^m)
CurveFP CurvePrime	𝔽p

Instances

Instances details

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

data Point Source #

Define a point on a curve.

Constructors

Point Integer Integer
PointO	Point at Infinity

Instances

Instances details

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

type PublicPoint = Point Source #

ECC Public Point

type PrivateNumber = Integer Source #

ECC Private Number

data CurveBinary Source #

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

Instances details

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

data CurvePrime Source #

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

Constructors

CurvePrime Integer CurveCommon

Instances

Instances details

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

common_curve :: Curve -> CurveCommon Source #

Parameters in common between binary and prime curves.

curveSizeBits :: Curve -> Int Source #

get the size of the curve in bits

ecc_fx :: CurveBinary -> Integer Source #

Irreducible polynomial representing the characteristic of a CurveBinary.

ecc_p :: CurvePrime -> Integer Source #

Prime number representing the characteristic of a CurvePrime.

data CurveCommon Source #

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

Instances details

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

Recommended curves definition

data CurveName Source #

Define names for known recommended curves.

Instances

Instances details

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

getCurveByName :: CurveName -> Curve Source #

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