License	BSD-style
Maintainer	Vincent Hanquez <vincent@snarc.org>
Stability	experimental
Portability	unknown
Safe Haskell	None
Language	Haskell2010

Crypto.ECC

Description

Elliptic Curve Cryptography

Synopsis

data Curve_P256R1 = Curve_P256R1
data Curve_P384R1 = Curve_P384R1
data Curve_P521R1 = Curve_P521R1
data Curve_X25519 = Curve_X25519
data Curve_X448 = Curve_X448
data Curve_Edwards25519 = Curve_Edwards25519
class EllipticCurve curve where
- type Point curve :: *
- type Scalar curve :: *
- curveGenerateScalar :: MonadRandom randomly => proxy curve -> randomly (Scalar curve)
- curveGenerateKeyPair :: MonadRandom randomly => proxy curve -> randomly (KeyPair curve)
- curveSizeBits :: proxy curve -> Int
- encodePoint :: ByteArray bs => proxy curve -> Point curve -> bs
- decodePoint :: ByteArray bs => proxy curve -> bs -> CryptoFailable (Point curve)
class EllipticCurve curve => EllipticCurveDH curve where
- ecdhRaw :: proxy curve -> Scalar curve -> Point curve -> SharedSecret
- ecdh :: proxy curve -> Scalar curve -> Point curve -> CryptoFailable SharedSecret
class EllipticCurve curve => EllipticCurveArith curve where
- pointAdd :: proxy curve -> Point curve -> Point curve -> Point curve
- pointNegate :: proxy curve -> Point curve -> Point curve
- pointSmul :: proxy curve -> Scalar curve -> Point curve -> Point curve
data KeyPair curve = KeyPair {
- keypairGetPublic :: !(Point curve)
- keypairGetPrivate :: !(Scalar curve)
}
newtype SharedSecret = SharedSecret ScrubbedBytes

Documentation

data Curve_P256R1 #

P256 Curve

also known as P256

Constructors

Curve_P256R1

Instances

Data Curve_P256R1 #
Instance details Defined in Crypto.ECC Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Curve_P256R1 -> c Curve_P256R1 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Curve_P256R1 # toConstr :: Curve_P256R1 -> Constr # dataTypeOf :: Curve_P256R1 -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Curve_P256R1) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Curve_P256R1) # gmapT :: (forall b. Data b => b -> b) -> Curve_P256R1 -> Curve_P256R1 # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Curve_P256R1 -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Curve_P256R1 -> r # gmapQ :: (forall d. Data d => d -> u) -> Curve_P256R1 -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Curve_P256R1 -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Curve_P256R1 -> m Curve_P256R1 # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Curve_P256R1 -> m Curve_P256R1 # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Curve_P256R1 -> m Curve_P256R1 #
Show Curve_P256R1 #
Instance details Defined in Crypto.ECC Methods showsPrec :: Int -> Curve_P256R1 -> ShowS # show :: Curve_P256R1 -> String # showList :: [Curve_P256R1] -> ShowS #
EllipticCurveArith Curve_P256R1 #
Instance details Defined in Crypto.ECC Methods pointAdd :: proxy Curve_P256R1 -> Point Curve_P256R1 -> Point Curve_P256R1 -> Point Curve_P256R1 # pointNegate :: proxy Curve_P256R1 -> Point Curve_P256R1 -> Point Curve_P256R1 # pointSmul :: proxy Curve_P256R1 -> Scalar Curve_P256R1 -> Point Curve_P256R1 -> Point Curve_P256R1 #
EllipticCurveDH Curve_P256R1 #
Instance details Defined in Crypto.ECC Methods ecdhRaw :: proxy Curve_P256R1 -> Scalar Curve_P256R1 -> Point Curve_P256R1 -> SharedSecret # ecdh :: proxy Curve_P256R1 -> Scalar Curve_P256R1 -> Point Curve_P256R1 -> CryptoFailable SharedSecret #
EllipticCurve Curve_P256R1 #
Instance details Defined in Crypto.ECC Associated Types type Point Curve_P256R1 :: Type # type Scalar Curve_P256R1 :: Type # Methods curveGenerateScalar :: MonadRandom randomly => proxy Curve_P256R1 -> randomly (Scalar Curve_P256R1) # curveGenerateKeyPair :: MonadRandom randomly => proxy Curve_P256R1 -> randomly (KeyPair Curve_P256R1) # curveSizeBits :: proxy Curve_P256R1 -> Int # encodePoint :: ByteArray bs => proxy Curve_P256R1 -> Point Curve_P256R1 -> bs # decodePoint :: ByteArray bs => proxy Curve_P256R1 -> bs -> CryptoFailable (Point Curve_P256R1) #
type Point Curve_P256R1 #
Instance details Defined in Crypto.ECC type Point Curve_P256R1 = Point
type Scalar Curve_P256R1 #
Instance details Defined in Crypto.ECC type Scalar Curve_P256R1 = Scalar

data Curve_P384R1 #

Constructors

Curve_P384R1

Instances

Data Curve_P384R1 #
Instance details Defined in Crypto.ECC Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Curve_P384R1 -> c Curve_P384R1 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Curve_P384R1 # toConstr :: Curve_P384R1 -> Constr # dataTypeOf :: Curve_P384R1 -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Curve_P384R1) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Curve_P384R1) # gmapT :: (forall b. Data b => b -> b) -> Curve_P384R1 -> Curve_P384R1 # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Curve_P384R1 -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Curve_P384R1 -> r # gmapQ :: (forall d. Data d => d -> u) -> Curve_P384R1 -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Curve_P384R1 -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Curve_P384R1 -> m Curve_P384R1 # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Curve_P384R1 -> m Curve_P384R1 # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Curve_P384R1 -> m Curve_P384R1 #
Show Curve_P384R1 #
Instance details Defined in Crypto.ECC Methods showsPrec :: Int -> Curve_P384R1 -> ShowS # show :: Curve_P384R1 -> String # showList :: [Curve_P384R1] -> ShowS #
EllipticCurveArith Curve_P384R1 #
Instance details Defined in Crypto.ECC Methods pointAdd :: proxy Curve_P384R1 -> Point Curve_P384R1 -> Point Curve_P384R1 -> Point Curve_P384R1 # pointNegate :: proxy Curve_P384R1 -> Point Curve_P384R1 -> Point Curve_P384R1 # pointSmul :: proxy Curve_P384R1 -> Scalar Curve_P384R1 -> Point Curve_P384R1 -> Point Curve_P384R1 #
EllipticCurveDH Curve_P384R1 #
Instance details Defined in Crypto.ECC Methods ecdhRaw :: proxy Curve_P384R1 -> Scalar Curve_P384R1 -> Point Curve_P384R1 -> SharedSecret # ecdh :: proxy Curve_P384R1 -> Scalar Curve_P384R1 -> Point Curve_P384R1 -> CryptoFailable SharedSecret #
EllipticCurve Curve_P384R1 #
Instance details Defined in Crypto.ECC Associated Types type Point Curve_P384R1 :: Type # type Scalar Curve_P384R1 :: Type # Methods curveGenerateScalar :: MonadRandom randomly => proxy Curve_P384R1 -> randomly (Scalar Curve_P384R1) # curveGenerateKeyPair :: MonadRandom randomly => proxy Curve_P384R1 -> randomly (KeyPair Curve_P384R1) # curveSizeBits :: proxy Curve_P384R1 -> Int # encodePoint :: ByteArray bs => proxy Curve_P384R1 -> Point Curve_P384R1 -> bs # decodePoint :: ByteArray bs => proxy Curve_P384R1 -> bs -> CryptoFailable (Point Curve_P384R1) #
type Point Curve_P384R1 #
Instance details Defined in Crypto.ECC type Point Curve_P384R1
type Scalar Curve_P384R1 #
Instance details Defined in Crypto.ECC type Scalar Curve_P384R1

data Curve_P521R1 #

Constructors

Curve_P521R1

Instances

Data Curve_P521R1 #
Instance details Defined in Crypto.ECC Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Curve_P521R1 -> c Curve_P521R1 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Curve_P521R1 # toConstr :: Curve_P521R1 -> Constr # dataTypeOf :: Curve_P521R1 -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Curve_P521R1) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Curve_P521R1) # gmapT :: (forall b. Data b => b -> b) -> Curve_P521R1 -> Curve_P521R1 # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Curve_P521R1 -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Curve_P521R1 -> r # gmapQ :: (forall d. Data d => d -> u) -> Curve_P521R1 -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Curve_P521R1 -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Curve_P521R1 -> m Curve_P521R1 # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Curve_P521R1 -> m Curve_P521R1 # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Curve_P521R1 -> m Curve_P521R1 #
Show Curve_P521R1 #
Instance details Defined in Crypto.ECC Methods showsPrec :: Int -> Curve_P521R1 -> ShowS # show :: Curve_P521R1 -> String # showList :: [Curve_P521R1] -> ShowS #
EllipticCurveArith Curve_P521R1 #
Instance details Defined in Crypto.ECC Methods pointAdd :: proxy Curve_P521R1 -> Point Curve_P521R1 -> Point Curve_P521R1 -> Point Curve_P521R1 # pointNegate :: proxy Curve_P521R1 -> Point Curve_P521R1 -> Point Curve_P521R1 # pointSmul :: proxy Curve_P521R1 -> Scalar Curve_P521R1 -> Point Curve_P521R1 -> Point Curve_P521R1 #
EllipticCurveDH Curve_P521R1 #
Instance details Defined in Crypto.ECC Methods ecdhRaw :: proxy Curve_P521R1 -> Scalar Curve_P521R1 -> Point Curve_P521R1 -> SharedSecret # ecdh :: proxy Curve_P521R1 -> Scalar Curve_P521R1 -> Point Curve_P521R1 -> CryptoFailable SharedSecret #
EllipticCurve Curve_P521R1 #
Instance details Defined in Crypto.ECC Associated Types type Point Curve_P521R1 :: Type # type Scalar Curve_P521R1 :: Type # Methods curveGenerateScalar :: MonadRandom randomly => proxy Curve_P521R1 -> randomly (Scalar Curve_P521R1) # curveGenerateKeyPair :: MonadRandom randomly => proxy Curve_P521R1 -> randomly (KeyPair Curve_P521R1) # curveSizeBits :: proxy Curve_P521R1 -> Int # encodePoint :: ByteArray bs => proxy Curve_P521R1 -> Point Curve_P521R1 -> bs # decodePoint :: ByteArray bs => proxy Curve_P521R1 -> bs -> CryptoFailable (Point Curve_P521R1) #
type Point Curve_P521R1 #
Instance details Defined in Crypto.ECC type Point Curve_P521R1
type Scalar Curve_P521R1 #
Instance details Defined in Crypto.ECC type Scalar Curve_P521R1

data Curve_X25519 #

Constructors

Curve_X25519

Instances

Data Curve_X25519 #
Instance details Defined in Crypto.ECC Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Curve_X25519 -> c Curve_X25519 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Curve_X25519 # toConstr :: Curve_X25519 -> Constr # dataTypeOf :: Curve_X25519 -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Curve_X25519) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Curve_X25519) # gmapT :: (forall b. Data b => b -> b) -> Curve_X25519 -> Curve_X25519 # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Curve_X25519 -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Curve_X25519 -> r # gmapQ :: (forall d. Data d => d -> u) -> Curve_X25519 -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Curve_X25519 -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Curve_X25519 -> m Curve_X25519 # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Curve_X25519 -> m Curve_X25519 # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Curve_X25519 -> m Curve_X25519 #
Show Curve_X25519 #
Instance details Defined in Crypto.ECC Methods showsPrec :: Int -> Curve_X25519 -> ShowS # show :: Curve_X25519 -> String # showList :: [Curve_X25519] -> ShowS #
EllipticCurveDH Curve_X25519 #
Instance details Defined in Crypto.ECC Methods ecdhRaw :: proxy Curve_X25519 -> Scalar Curve_X25519 -> Point Curve_X25519 -> SharedSecret # ecdh :: proxy Curve_X25519 -> Scalar Curve_X25519 -> Point Curve_X25519 -> CryptoFailable SharedSecret #
EllipticCurve Curve_X25519 #
Instance details Defined in Crypto.ECC Associated Types type Point Curve_X25519 :: Type # type Scalar Curve_X25519 :: Type # Methods curveGenerateScalar :: MonadRandom randomly => proxy Curve_X25519 -> randomly (Scalar Curve_X25519) # curveGenerateKeyPair :: MonadRandom randomly => proxy Curve_X25519 -> randomly (KeyPair Curve_X25519) # curveSizeBits :: proxy Curve_X25519 -> Int # encodePoint :: ByteArray bs => proxy Curve_X25519 -> Point Curve_X25519 -> bs # decodePoint :: ByteArray bs => proxy Curve_X25519 -> bs -> CryptoFailable (Point Curve_X25519) #
type Point Curve_X25519 #
Instance details Defined in Crypto.ECC type Point Curve_X25519 = PublicKey
type Scalar Curve_X25519 #
Instance details Defined in Crypto.ECC type Scalar Curve_X25519 = SecretKey

data Curve_X448 #

Constructors

Curve_X448

Instances

Data Curve_X448 #
Instance details Defined in Crypto.ECC Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Curve_X448 -> c Curve_X448 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Curve_X448 # toConstr :: Curve_X448 -> Constr # dataTypeOf :: Curve_X448 -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Curve_X448) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Curve_X448) # gmapT :: (forall b. Data b => b -> b) -> Curve_X448 -> Curve_X448 # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Curve_X448 -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Curve_X448 -> r # gmapQ :: (forall d. Data d => d -> u) -> Curve_X448 -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Curve_X448 -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Curve_X448 -> m Curve_X448 # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Curve_X448 -> m Curve_X448 # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Curve_X448 -> m Curve_X448 #
Show Curve_X448 #
Instance details Defined in Crypto.ECC Methods showsPrec :: Int -> Curve_X448 -> ShowS # show :: Curve_X448 -> String # showList :: [Curve_X448] -> ShowS #
EllipticCurveDH Curve_X448 #
Instance details Defined in Crypto.ECC Methods ecdhRaw :: proxy Curve_X448 -> Scalar Curve_X448 -> Point Curve_X448 -> SharedSecret # ecdh :: proxy Curve_X448 -> Scalar Curve_X448 -> Point Curve_X448 -> CryptoFailable SharedSecret #
EllipticCurve Curve_X448 #
Instance details Defined in Crypto.ECC Associated Types type Point Curve_X448 :: Type # type Scalar Curve_X448 :: Type # Methods curveGenerateScalar :: MonadRandom randomly => proxy Curve_X448 -> randomly (Scalar Curve_X448) # curveGenerateKeyPair :: MonadRandom randomly => proxy Curve_X448 -> randomly (KeyPair Curve_X448) # curveSizeBits :: proxy Curve_X448 -> Int # encodePoint :: ByteArray bs => proxy Curve_X448 -> Point Curve_X448 -> bs # decodePoint :: ByteArray bs => proxy Curve_X448 -> bs -> CryptoFailable (Point Curve_X448) #
type Point Curve_X448 #
Instance details Defined in Crypto.ECC type Point Curve_X448 = PublicKey
type Scalar Curve_X448 #
Instance details Defined in Crypto.ECC type Scalar Curve_X448 = SecretKey

data Curve_Edwards25519 #

Constructors

Curve_Edwards25519

Instances

Data Curve_Edwards25519 #
Instance details Defined in Crypto.ECC Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Curve_Edwards25519 -> c Curve_Edwards25519 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Curve_Edwards25519 # toConstr :: Curve_Edwards25519 -> Constr # dataTypeOf :: Curve_Edwards25519 -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Curve_Edwards25519) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Curve_Edwards25519) # gmapT :: (forall b. Data b => b -> b) -> Curve_Edwards25519 -> Curve_Edwards25519 # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Curve_Edwards25519 -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Curve_Edwards25519 -> r # gmapQ :: (forall d. Data d => d -> u) -> Curve_Edwards25519 -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Curve_Edwards25519 -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Curve_Edwards25519 -> m Curve_Edwards25519 # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Curve_Edwards25519 -> m Curve_Edwards25519 # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Curve_Edwards25519 -> m Curve_Edwards25519 #
Show Curve_Edwards25519 #
Instance details Defined in Crypto.ECC Methods showsPrec :: Int -> Curve_Edwards25519 -> ShowS # show :: Curve_Edwards25519 -> String # showList :: [Curve_Edwards25519] -> ShowS #
EllipticCurveArith Curve_Edwards25519 #
Instance details Defined in Crypto.ECC Methods pointAdd :: proxy Curve_Edwards25519 -> Point Curve_Edwards25519 -> Point Curve_Edwards25519 -> Point Curve_Edwards25519 # pointNegate :: proxy Curve_Edwards25519 -> Point Curve_Edwards25519 -> Point Curve_Edwards25519 # pointSmul :: proxy Curve_Edwards25519 -> Scalar Curve_Edwards25519 -> Point Curve_Edwards25519 -> Point Curve_Edwards25519 #
EllipticCurve Curve_Edwards25519 #
Instance details Defined in Crypto.ECC Associated Types type Point Curve_Edwards25519 :: Type # type Scalar Curve_Edwards25519 :: Type # Methods curveGenerateScalar :: MonadRandom randomly => proxy Curve_Edwards25519 -> randomly (Scalar Curve_Edwards25519) # curveGenerateKeyPair :: MonadRandom randomly => proxy Curve_Edwards25519 -> randomly (KeyPair Curve_Edwards25519) # curveSizeBits :: proxy Curve_Edwards25519 -> Int # encodePoint :: ByteArray bs => proxy Curve_Edwards25519 -> Point Curve_Edwards25519 -> bs # decodePoint :: ByteArray bs => proxy Curve_Edwards25519 -> bs -> CryptoFailable (Point Curve_Edwards25519) #
type Point Curve_Edwards25519 #
Instance details Defined in Crypto.ECC type Point Curve_Edwards25519 = Point
type Scalar Curve_Edwards25519 #
Instance details Defined in Crypto.ECC type Scalar Curve_Edwards25519 = Scalar

class EllipticCurve curve where #

Associated Types

type Point curve :: * #

Point on an Elliptic Curve

type Scalar curve :: * #

Scalar in the Elliptic Curve domain

Methods

curveGenerateScalar :: MonadRandom randomly => proxy curve -> randomly (Scalar curve) #

Generate a new random scalar on the curve. The scalar will represent a number between 1 and the order of the curve non included

curveGenerateKeyPair :: MonadRandom randomly => proxy curve -> randomly (KeyPair curve) #

Generate a new random keypair

curveSizeBits :: proxy curve -> Int #

Get the curve size in bits

encodePoint :: ByteArray bs => proxy curve -> Point curve -> bs #

Encode a elliptic curve point into binary form

decodePoint :: ByteArray bs => proxy curve -> bs -> CryptoFailable (Point curve) #

Try to decode the binary form of an elliptic curve point

Instances

EllipticCurve Curve_Edwards25519 #
Instance details Defined in Crypto.ECC Associated Types type Point Curve_Edwards25519 :: Type # type Scalar Curve_Edwards25519 :: Type # Methods curveGenerateScalar :: MonadRandom randomly => proxy Curve_Edwards25519 -> randomly (Scalar Curve_Edwards25519) # curveGenerateKeyPair :: MonadRandom randomly => proxy Curve_Edwards25519 -> randomly (KeyPair Curve_Edwards25519) # curveSizeBits :: proxy Curve_Edwards25519 -> Int # encodePoint :: ByteArray bs => proxy Curve_Edwards25519 -> Point Curve_Edwards25519 -> bs # decodePoint :: ByteArray bs => proxy Curve_Edwards25519 -> bs -> CryptoFailable (Point Curve_Edwards25519) #
EllipticCurve Curve_X448 #
Instance details Defined in Crypto.ECC Associated Types type Point Curve_X448 :: Type # type Scalar Curve_X448 :: Type # Methods curveGenerateScalar :: MonadRandom randomly => proxy Curve_X448 -> randomly (Scalar Curve_X448) # curveGenerateKeyPair :: MonadRandom randomly => proxy Curve_X448 -> randomly (KeyPair Curve_X448) # curveSizeBits :: proxy Curve_X448 -> Int # encodePoint :: ByteArray bs => proxy Curve_X448 -> Point Curve_X448 -> bs # decodePoint :: ByteArray bs => proxy Curve_X448 -> bs -> CryptoFailable (Point Curve_X448) #
EllipticCurve Curve_X25519 #
Instance details Defined in Crypto.ECC Associated Types type Point Curve_X25519 :: Type # type Scalar Curve_X25519 :: Type # Methods curveGenerateScalar :: MonadRandom randomly => proxy Curve_X25519 -> randomly (Scalar Curve_X25519) # curveGenerateKeyPair :: MonadRandom randomly => proxy Curve_X25519 -> randomly (KeyPair Curve_X25519) # curveSizeBits :: proxy Curve_X25519 -> Int # encodePoint :: ByteArray bs => proxy Curve_X25519 -> Point Curve_X25519 -> bs # decodePoint :: ByteArray bs => proxy Curve_X25519 -> bs -> CryptoFailable (Point Curve_X25519) #
EllipticCurve Curve_P521R1 #
Instance details Defined in Crypto.ECC Associated Types type Point Curve_P521R1 :: Type # type Scalar Curve_P521R1 :: Type # Methods curveGenerateScalar :: MonadRandom randomly => proxy Curve_P521R1 -> randomly (Scalar Curve_P521R1) # curveGenerateKeyPair :: MonadRandom randomly => proxy Curve_P521R1 -> randomly (KeyPair Curve_P521R1) # curveSizeBits :: proxy Curve_P521R1 -> Int # encodePoint :: ByteArray bs => proxy Curve_P521R1 -> Point Curve_P521R1 -> bs # decodePoint :: ByteArray bs => proxy Curve_P521R1 -> bs -> CryptoFailable (Point Curve_P521R1) #
EllipticCurve Curve_P384R1 #
Instance details Defined in Crypto.ECC Associated Types type Point Curve_P384R1 :: Type # type Scalar Curve_P384R1 :: Type # Methods curveGenerateScalar :: MonadRandom randomly => proxy Curve_P384R1 -> randomly (Scalar Curve_P384R1) # curveGenerateKeyPair :: MonadRandom randomly => proxy Curve_P384R1 -> randomly (KeyPair Curve_P384R1) # curveSizeBits :: proxy Curve_P384R1 -> Int # encodePoint :: ByteArray bs => proxy Curve_P384R1 -> Point Curve_P384R1 -> bs # decodePoint :: ByteArray bs => proxy Curve_P384R1 -> bs -> CryptoFailable (Point Curve_P384R1) #
EllipticCurve Curve_P256R1 #
Instance details Defined in Crypto.ECC Associated Types type Point Curve_P256R1 :: Type # type Scalar Curve_P256R1 :: Type # Methods curveGenerateScalar :: MonadRandom randomly => proxy Curve_P256R1 -> randomly (Scalar Curve_P256R1) # curveGenerateKeyPair :: MonadRandom randomly => proxy Curve_P256R1 -> randomly (KeyPair Curve_P256R1) # curveSizeBits :: proxy Curve_P256R1 -> Int # encodePoint :: ByteArray bs => proxy Curve_P256R1 -> Point Curve_P256R1 -> bs # decodePoint :: ByteArray bs => proxy Curve_P256R1 -> bs -> CryptoFailable (Point Curve_P256R1) #

class EllipticCurve curve => EllipticCurveDH curve where #

Minimal complete definition

ecdh

Methods

ecdhRaw :: proxy curve -> Scalar curve -> Point curve -> SharedSecret #

Generate a Diffie hellman secret value.

This is generally just the .x coordinate of the resulting point, that is not hashed.

use pointSmul to keep the result in Point format.

WARNING: Curve implementations may return a special value or an exception when the public point lies in a subgroup of small order. This function is adequate when the scalar is in expected range and contributory behaviour is not needed. Otherwise use ecdh.

ecdh :: proxy curve -> Scalar curve -> Point curve -> CryptoFailable SharedSecret #

Generate a Diffie hellman secret value and verify that the result is not the point at infinity.

This additional test avoids risks existing with function ecdhRaw. Implementations always return a CryptoError instead of a special value or an exception.

Instances

EllipticCurveDH Curve_X448 #
Instance details Defined in Crypto.ECC Methods ecdhRaw :: proxy Curve_X448 -> Scalar Curve_X448 -> Point Curve_X448 -> SharedSecret # ecdh :: proxy Curve_X448 -> Scalar Curve_X448 -> Point Curve_X448 -> CryptoFailable SharedSecret #
EllipticCurveDH Curve_X25519 #
Instance details Defined in Crypto.ECC Methods ecdhRaw :: proxy Curve_X25519 -> Scalar Curve_X25519 -> Point Curve_X25519 -> SharedSecret # ecdh :: proxy Curve_X25519 -> Scalar Curve_X25519 -> Point Curve_X25519 -> CryptoFailable SharedSecret #
EllipticCurveDH Curve_P521R1 #
Instance details Defined in Crypto.ECC Methods ecdhRaw :: proxy Curve_P521R1 -> Scalar Curve_P521R1 -> Point Curve_P521R1 -> SharedSecret # ecdh :: proxy Curve_P521R1 -> Scalar Curve_P521R1 -> Point Curve_P521R1 -> CryptoFailable SharedSecret #
EllipticCurveDH Curve_P384R1 #
Instance details Defined in Crypto.ECC Methods ecdhRaw :: proxy Curve_P384R1 -> Scalar Curve_P384R1 -> Point Curve_P384R1 -> SharedSecret # ecdh :: proxy Curve_P384R1 -> Scalar Curve_P384R1 -> Point Curve_P384R1 -> CryptoFailable SharedSecret #
EllipticCurveDH Curve_P256R1 #
Instance details Defined in Crypto.ECC Methods ecdhRaw :: proxy Curve_P256R1 -> Scalar Curve_P256R1 -> Point Curve_P256R1 -> SharedSecret # ecdh :: proxy Curve_P256R1 -> Scalar Curve_P256R1 -> Point Curve_P256R1 -> CryptoFailable SharedSecret #

class EllipticCurve curve => EllipticCurveArith curve where #

Methods

pointAdd :: proxy curve -> Point curve -> Point curve -> Point curve #

Add points on a curve

pointNegate :: proxy curve -> Point curve -> Point curve #

Negate a curve point

pointSmul :: proxy curve -> Scalar curve -> Point curve -> Point curve #

Scalar Multiplication on a curve

Instances

EllipticCurveArith Curve_Edwards25519 #
Instance details Defined in Crypto.ECC Methods pointAdd :: proxy Curve_Edwards25519 -> Point Curve_Edwards25519 -> Point Curve_Edwards25519 -> Point Curve_Edwards25519 # pointNegate :: proxy Curve_Edwards25519 -> Point Curve_Edwards25519 -> Point Curve_Edwards25519 # pointSmul :: proxy Curve_Edwards25519 -> Scalar Curve_Edwards25519 -> Point Curve_Edwards25519 -> Point Curve_Edwards25519 #
EllipticCurveArith Curve_P521R1 #
Instance details Defined in Crypto.ECC Methods pointAdd :: proxy Curve_P521R1 -> Point Curve_P521R1 -> Point Curve_P521R1 -> Point Curve_P521R1 # pointNegate :: proxy Curve_P521R1 -> Point Curve_P521R1 -> Point Curve_P521R1 # pointSmul :: proxy Curve_P521R1 -> Scalar Curve_P521R1 -> Point Curve_P521R1 -> Point Curve_P521R1 #
EllipticCurveArith Curve_P384R1 #
Instance details Defined in Crypto.ECC Methods pointAdd :: proxy Curve_P384R1 -> Point Curve_P384R1 -> Point Curve_P384R1 -> Point Curve_P384R1 # pointNegate :: proxy Curve_P384R1 -> Point Curve_P384R1 -> Point Curve_P384R1 # pointSmul :: proxy Curve_P384R1 -> Scalar Curve_P384R1 -> Point Curve_P384R1 -> Point Curve_P384R1 #
EllipticCurveArith Curve_P256R1 #
Instance details Defined in Crypto.ECC Methods pointAdd :: proxy Curve_P256R1 -> Point Curve_P256R1 -> Point Curve_P256R1 -> Point Curve_P256R1 # pointNegate :: proxy Curve_P256R1 -> Point Curve_P256R1 -> Point Curve_P256R1 # pointSmul :: proxy Curve_P256R1 -> Scalar Curve_P256R1 -> Point Curve_P256R1 -> Point Curve_P256R1 #

data KeyPair curve #

An elliptic curve key pair composed of the private part (a scalar), and the associated point.

Constructors

KeyPair
Fields keypairGetPublic :: !(Point curve) keypairGetPrivate :: !(Scalar curve)

newtype SharedSecret #

Constructors

SharedSecret ScrubbedBytes

Instances

Eq SharedSecret #
Instance details Defined in Crypto.ECC Methods (==) :: SharedSecret -> SharedSecret -> Bool # (/=) :: SharedSecret -> SharedSecret -> Bool #
NFData SharedSecret #
Instance details Defined in Crypto.ECC Methods rnf :: SharedSecret -> () #
ByteArrayAccess SharedSecret #
Instance details Defined in Crypto.ECC Methods length :: SharedSecret -> Int # withByteArray :: SharedSecret -> (Ptr p -> IO a) -> IO a # copyByteArrayToPtr :: SharedSecret -> Ptr p -> IO () #