Crypto.ECC

Elliptic Curve Cryptography

Documentation

data Curve_P256R1

P256 Curve

also known as P256

Constructors

Curve_P256R1

Instances

Data Curve_P256R1

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 :: forall r r'. (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

Defined in Crypto.ECC

Methods

showsPrec :: Int -> Curve_P256R1 -> ShowS

show :: Curve_P256R1 -> String

showList :: [Curve_P256R1] -> ShowS

EllipticCurve Curve_P256R1

Defined in Crypto.ECC

Associated Types

type Point Curve_P256R1

type Scalar Curve_P256R1

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)

EllipticCurveArith Curve_P256R1

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

EllipticCurveBasepointArith Curve_P256R1

Defined in Crypto.ECC

Methods

curveOrderBits :: proxy Curve_P256R1 -> Int

pointBaseSmul :: proxy Curve_P256R1 -> Scalar Curve_P256R1 -> Point Curve_P256R1

pointsSmulVarTime :: proxy Curve_P256R1 -> Scalar Curve_P256R1 -> Scalar Curve_P256R1 -> Point Curve_P256R1 -> Point Curve_P256R1

encodeScalar :: ByteArray bs => proxy Curve_P256R1 -> Scalar Curve_P256R1 -> bs

decodeScalar :: ByteArray bs => proxy Curve_P256R1 -> bs -> CryptoFailable (Scalar Curve_P256R1)

scalarToInteger :: proxy Curve_P256R1 -> Scalar Curve_P256R1 -> Integer

scalarFromInteger :: proxy Curve_P256R1 -> Integer -> CryptoFailable (Scalar Curve_P256R1)

scalarAdd :: proxy Curve_P256R1 -> Scalar Curve_P256R1 -> Scalar Curve_P256R1 -> Scalar Curve_P256R1

scalarMul :: proxy Curve_P256R1 -> Scalar Curve_P256R1 -> Scalar Curve_P256R1 -> Scalar Curve_P256R1

EllipticCurveDH Curve_P256R1

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

EllipticCurveECDSA Curve_P256R1

Defined in Crypto.PubKey.ECDSA

Methods

scalarIsValid :: proxy Curve_P256R1 -> Scalar Curve_P256R1 -> Bool

scalarIsZero :: proxy Curve_P256R1 -> Scalar Curve_P256R1 -> Bool

scalarInv :: proxy Curve_P256R1 -> Scalar Curve_P256R1 -> Maybe (Scalar Curve_P256R1)

pointX :: proxy Curve_P256R1 -> Point Curve_P256R1 -> Maybe (Scalar Curve_P256R1)

type Point Curve_P256R1

Defined in Crypto.ECC

type Point Curve_P256R1 = Point

type Scalar Curve_P256R1

Defined in Crypto.ECC

type Scalar Curve_P256R1 = Scalar

data Curve_P384R1

Constructors

Curve_P384R1

Instances

Data Curve_P384R1

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 :: forall r r'. (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

Defined in Crypto.ECC

Methods

showsPrec :: Int -> Curve_P384R1 -> ShowS

show :: Curve_P384R1 -> String

showList :: [Curve_P384R1] -> ShowS

EllipticCurve Curve_P384R1

Defined in Crypto.ECC

Associated Types

type Point Curve_P384R1

type Scalar Curve_P384R1

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)

EllipticCurveArith Curve_P384R1

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

EllipticCurveBasepointArith Curve_P384R1

Defined in Crypto.ECC

Methods

curveOrderBits :: proxy Curve_P384R1 -> Int

pointBaseSmul :: proxy Curve_P384R1 -> Scalar Curve_P384R1 -> Point Curve_P384R1

pointsSmulVarTime :: proxy Curve_P384R1 -> Scalar Curve_P384R1 -> Scalar Curve_P384R1 -> Point Curve_P384R1 -> Point Curve_P384R1

encodeScalar :: ByteArray bs => proxy Curve_P384R1 -> Scalar Curve_P384R1 -> bs

decodeScalar :: ByteArray bs => proxy Curve_P384R1 -> bs -> CryptoFailable (Scalar Curve_P384R1)

scalarToInteger :: proxy Curve_P384R1 -> Scalar Curve_P384R1 -> Integer

scalarFromInteger :: proxy Curve_P384R1 -> Integer -> CryptoFailable (Scalar Curve_P384R1)

scalarAdd :: proxy Curve_P384R1 -> Scalar Curve_P384R1 -> Scalar Curve_P384R1 -> Scalar Curve_P384R1

scalarMul :: proxy Curve_P384R1 -> Scalar Curve_P384R1 -> Scalar Curve_P384R1 -> Scalar Curve_P384R1

EllipticCurveDH Curve_P384R1

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

EllipticCurveECDSA Curve_P384R1

Defined in Crypto.PubKey.ECDSA

Methods

scalarIsValid :: proxy Curve_P384R1 -> Scalar Curve_P384R1 -> Bool

scalarIsZero :: proxy Curve_P384R1 -> Scalar Curve_P384R1 -> Bool

scalarInv :: proxy Curve_P384R1 -> Scalar Curve_P384R1 -> Maybe (Scalar Curve_P384R1)

pointX :: proxy Curve_P384R1 -> Point Curve_P384R1 -> Maybe (Scalar Curve_P384R1)

type Point Curve_P384R1

Defined in Crypto.ECC

type Point Curve_P384R1

type Scalar Curve_P384R1

Defined in Crypto.ECC

type Scalar Curve_P384R1

data Curve_P521R1

Constructors

Curve_P521R1

Instances

Data Curve_P521R1

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 :: forall r r'. (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

Defined in Crypto.ECC

Methods

showsPrec :: Int -> Curve_P521R1 -> ShowS

show :: Curve_P521R1 -> String

showList :: [Curve_P521R1] -> ShowS

EllipticCurve Curve_P521R1

Defined in Crypto.ECC

Associated Types

type Point Curve_P521R1

type Scalar Curve_P521R1

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)

EllipticCurveArith Curve_P521R1

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

EllipticCurveBasepointArith Curve_P521R1

Defined in Crypto.ECC

Methods

curveOrderBits :: proxy Curve_P521R1 -> Int

pointBaseSmul :: proxy Curve_P521R1 -> Scalar Curve_P521R1 -> Point Curve_P521R1

pointsSmulVarTime :: proxy Curve_P521R1 -> Scalar Curve_P521R1 -> Scalar Curve_P521R1 -> Point Curve_P521R1 -> Point Curve_P521R1

encodeScalar :: ByteArray bs => proxy Curve_P521R1 -> Scalar Curve_P521R1 -> bs

decodeScalar :: ByteArray bs => proxy Curve_P521R1 -> bs -> CryptoFailable (Scalar Curve_P521R1)

scalarToInteger :: proxy Curve_P521R1 -> Scalar Curve_P521R1 -> Integer

scalarFromInteger :: proxy Curve_P521R1 -> Integer -> CryptoFailable (Scalar Curve_P521R1)

scalarAdd :: proxy Curve_P521R1 -> Scalar Curve_P521R1 -> Scalar Curve_P521R1 -> Scalar Curve_P521R1

scalarMul :: proxy Curve_P521R1 -> Scalar Curve_P521R1 -> Scalar Curve_P521R1 -> Scalar Curve_P521R1

EllipticCurveDH Curve_P521R1

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

EllipticCurveECDSA Curve_P521R1

Defined in Crypto.PubKey.ECDSA

Methods

scalarIsValid :: proxy Curve_P521R1 -> Scalar Curve_P521R1 -> Bool

scalarIsZero :: proxy Curve_P521R1 -> Scalar Curve_P521R1 -> Bool

scalarInv :: proxy Curve_P521R1 -> Scalar Curve_P521R1 -> Maybe (Scalar Curve_P521R1)

pointX :: proxy Curve_P521R1 -> Point Curve_P521R1 -> Maybe (Scalar Curve_P521R1)

type Point Curve_P521R1

Defined in Crypto.ECC

type Point Curve_P521R1

type Scalar Curve_P521R1

Defined in Crypto.ECC

type Scalar Curve_P521R1

data Curve_X25519

Constructors

Curve_X25519

Instances

Data Curve_X25519

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 :: forall r r'. (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

Defined in Crypto.ECC

Methods

showsPrec :: Int -> Curve_X25519 -> ShowS

show :: Curve_X25519 -> String

showList :: [Curve_X25519] -> ShowS

EllipticCurve Curve_X25519

Defined in Crypto.ECC

Associated Types

type Point Curve_X25519

type Scalar Curve_X25519

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)

EllipticCurveDH Curve_X25519

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

type Point Curve_X25519

Defined in Crypto.ECC

type Point Curve_X25519 = PublicKey

type Scalar Curve_X25519

Defined in Crypto.ECC

type Scalar Curve_X25519 = SecretKey

data Curve_X448

Constructors

Curve_X448

Instances

Data Curve_X448

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 :: forall r r'. (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

Defined in Crypto.ECC

Methods

showsPrec :: Int -> Curve_X448 -> ShowS

show :: Curve_X448 -> String

showList :: [Curve_X448] -> ShowS

EllipticCurve Curve_X448

Defined in Crypto.ECC

Associated Types

type Point Curve_X448

type Scalar Curve_X448

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)

EllipticCurveDH Curve_X448

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

type Point Curve_X448

Defined in Crypto.ECC

type Point Curve_X448 = PublicKey

type Scalar Curve_X448

Defined in Crypto.ECC

type Scalar Curve_X448 = SecretKey

data Curve_Edwards25519

Constructors

Curve_Edwards25519

Instances

Data Curve_Edwards25519

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 :: forall r r'. (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

Defined in Crypto.ECC

Methods

showsPrec :: Int -> Curve_Edwards25519 -> ShowS

show :: Curve_Edwards25519 -> String

showList :: [Curve_Edwards25519] -> ShowS

EllipticCurve Curve_Edwards25519

Defined in Crypto.ECC

Associated Types

type Point Curve_Edwards25519

type Scalar Curve_Edwards25519

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)

EllipticCurveArith Curve_Edwards25519

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

EllipticCurveBasepointArith Curve_Edwards25519

Defined in Crypto.ECC

Methods

curveOrderBits :: proxy Curve_Edwards25519 -> Int

pointBaseSmul :: proxy Curve_Edwards25519 -> Scalar Curve_Edwards25519 -> Point Curve_Edwards25519

pointsSmulVarTime :: proxy Curve_Edwards25519 -> Scalar Curve_Edwards25519 -> Scalar Curve_Edwards25519 -> Point Curve_Edwards25519 -> Point Curve_Edwards25519

encodeScalar :: ByteArray bs => proxy Curve_Edwards25519 -> Scalar Curve_Edwards25519 -> bs

decodeScalar :: ByteArray bs => proxy Curve_Edwards25519 -> bs -> CryptoFailable (Scalar Curve_Edwards25519)

scalarToInteger :: proxy Curve_Edwards25519 -> Scalar Curve_Edwards25519 -> Integer

scalarFromInteger :: proxy Curve_Edwards25519 -> Integer -> CryptoFailable (Scalar Curve_Edwards25519)

scalarAdd :: proxy Curve_Edwards25519 -> Scalar Curve_Edwards25519 -> Scalar Curve_Edwards25519 -> Scalar Curve_Edwards25519

scalarMul :: proxy Curve_Edwards25519 -> Scalar Curve_Edwards25519 -> Scalar Curve_Edwards25519 -> Scalar Curve_Edwards25519

EllipticCurveEdDSA Curve_Edwards25519

Defined in Crypto.PubKey.EdDSA

Associated Types

type CurveDigestSize Curve_Edwards25519 :: Nat

Methods

secretKeySize :: proxy Curve_Edwards25519 -> Int

hashWithDom :: (HashAlgorithm hash, ByteArrayAccess ctx, ByteArrayAccess msg) => proxy Curve_Edwards25519 -> hash -> Bool -> ctx -> Builder -> msg -> Bytes

pointPublic :: proxy Curve_Edwards25519 -> Point Curve_Edwards25519 -> PublicKey Curve_Edwards25519 hash

publicPoint :: proxy Curve_Edwards25519 -> PublicKey Curve_Edwards25519 hash -> CryptoFailable (Point Curve_Edwards25519)

encodeScalarLE :: ByteArray bs => proxy Curve_Edwards25519 -> Scalar Curve_Edwards25519 -> bs

decodeScalarLE :: ByteArrayAccess bs => proxy Curve_Edwards25519 -> bs -> CryptoFailable (Scalar Curve_Edwards25519)

scheduleSecret :: (HashAlgorithm hash, HashDigestSize hash ~ CurveDigestSize Curve_Edwards25519) => proxy Curve_Edwards25519 -> hash -> SecretKey Curve_Edwards25519 -> (Scalar Curve_Edwards25519, View Bytes)

type Point Curve_Edwards25519

Defined in Crypto.ECC

type Point Curve_Edwards25519 = Point

type Scalar Curve_Edwards25519

Defined in Crypto.ECC

type Scalar Curve_Edwards25519 = Scalar

type CurveDigestSize Curve_Edwards25519

Defined in Crypto.PubKey.EdDSA

type CurveDigestSize Curve_Edwards25519 = 64

class EllipticCurve curve where

Associated Types

type Point curve :: Type

Point on an Elliptic Curve

type Scalar curve :: Type

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

Defined in Crypto.ECC

Associated Types

type Point Curve_Edwards25519

type Scalar Curve_Edwards25519

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_P256R1

Defined in Crypto.ECC

Associated Types

type Point Curve_P256R1

type Scalar Curve_P256R1

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)

EllipticCurve Curve_P384R1

Defined in Crypto.ECC

Associated Types

type Point Curve_P384R1

type Scalar Curve_P384R1

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_P521R1

Defined in Crypto.ECC

Associated Types

type Point Curve_P521R1

type Scalar Curve_P521R1

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_X25519

Defined in Crypto.ECC

Associated Types

type Point Curve_X25519

type Scalar Curve_X25519

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_X448

Defined in Crypto.ECC

Associated Types

type Point Curve_X448

type Scalar Curve_X448

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)

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_P256R1

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

EllipticCurveDH Curve_P384R1

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_P521R1

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_X25519

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_X448

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

class (EllipticCurve curve, Eq (Point 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

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_P256R1

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

EllipticCurveArith Curve_P384R1

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_P521R1

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

class (EllipticCurveArith curve, Eq (Scalar curve)) => EllipticCurveBasepointArith curve where

Minimal complete definition

curveOrderBits, pointBaseSmul, encodeScalar, decodeScalar, scalarToInteger, scalarFromInteger, scalarAdd, scalarMul

Methods

curveOrderBits :: proxy curve -> Int

Get the curve order size in bits

pointBaseSmul :: proxy curve -> Scalar curve -> Point curve

Multiply a scalar with the curve base point

pointsSmulVarTime :: proxy curve -> Scalar curve -> Scalar curve -> Point curve -> Point curve

Multiply the point p with s2 and add a lifted to curve value s1

encodeScalar :: ByteArray bs => proxy curve -> Scalar curve -> bs

Encode an elliptic curve scalar into big-endian form

decodeScalar :: ByteArray bs => proxy curve -> bs -> CryptoFailable (Scalar curve)

Try to decode the big-endian form of an elliptic curve scalar

scalarToInteger :: proxy curve -> Scalar curve -> Integer

Convert an elliptic curve scalar to an integer

scalarFromInteger :: proxy curve -> Integer -> CryptoFailable (Scalar curve)

Try to create an elliptic curve scalar from an integer

scalarAdd :: proxy curve -> Scalar curve -> Scalar curve -> Scalar curve

Add two scalars and reduce modulo the curve order

scalarMul :: proxy curve -> Scalar curve -> Scalar curve -> Scalar curve

Multiply two scalars and reduce modulo the curve order

Instances

EllipticCurveBasepointArith Curve_Edwards25519

Defined in Crypto.ECC

Methods

curveOrderBits :: proxy Curve_Edwards25519 -> Int

pointBaseSmul :: proxy Curve_Edwards25519 -> Scalar Curve_Edwards25519 -> Point Curve_Edwards25519

pointsSmulVarTime :: proxy Curve_Edwards25519 -> Scalar Curve_Edwards25519 -> Scalar Curve_Edwards25519 -> Point Curve_Edwards25519 -> Point Curve_Edwards25519

encodeScalar :: ByteArray bs => proxy Curve_Edwards25519 -> Scalar Curve_Edwards25519 -> bs

decodeScalar :: ByteArray bs => proxy Curve_Edwards25519 -> bs -> CryptoFailable (Scalar Curve_Edwards25519)

scalarToInteger :: proxy Curve_Edwards25519 -> Scalar Curve_Edwards25519 -> Integer

scalarFromInteger :: proxy Curve_Edwards25519 -> Integer -> CryptoFailable (Scalar Curve_Edwards25519)

scalarAdd :: proxy Curve_Edwards25519 -> Scalar Curve_Edwards25519 -> Scalar Curve_Edwards25519 -> Scalar Curve_Edwards25519

scalarMul :: proxy Curve_Edwards25519 -> Scalar Curve_Edwards25519 -> Scalar Curve_Edwards25519 -> Scalar Curve_Edwards25519

EllipticCurveBasepointArith Curve_P256R1

Defined in Crypto.ECC

Methods

curveOrderBits :: proxy Curve_P256R1 -> Int

pointBaseSmul :: proxy Curve_P256R1 -> Scalar Curve_P256R1 -> Point Curve_P256R1

pointsSmulVarTime :: proxy Curve_P256R1 -> Scalar Curve_P256R1 -> Scalar Curve_P256R1 -> Point Curve_P256R1 -> Point Curve_P256R1

encodeScalar :: ByteArray bs => proxy Curve_P256R1 -> Scalar Curve_P256R1 -> bs

decodeScalar :: ByteArray bs => proxy Curve_P256R1 -> bs -> CryptoFailable (Scalar Curve_P256R1)

scalarToInteger :: proxy Curve_P256R1 -> Scalar Curve_P256R1 -> Integer

scalarFromInteger :: proxy Curve_P256R1 -> Integer -> CryptoFailable (Scalar Curve_P256R1)

scalarAdd :: proxy Curve_P256R1 -> Scalar Curve_P256R1 -> Scalar Curve_P256R1 -> Scalar Curve_P256R1

scalarMul :: proxy Curve_P256R1 -> Scalar Curve_P256R1 -> Scalar Curve_P256R1 -> Scalar Curve_P256R1

EllipticCurveBasepointArith Curve_P384R1

Defined in Crypto.ECC

Methods

curveOrderBits :: proxy Curve_P384R1 -> Int

pointBaseSmul :: proxy Curve_P384R1 -> Scalar Curve_P384R1 -> Point Curve_P384R1

pointsSmulVarTime :: proxy Curve_P384R1 -> Scalar Curve_P384R1 -> Scalar Curve_P384R1 -> Point Curve_P384R1 -> Point Curve_P384R1

encodeScalar :: ByteArray bs => proxy Curve_P384R1 -> Scalar Curve_P384R1 -> bs

decodeScalar :: ByteArray bs => proxy Curve_P384R1 -> bs -> CryptoFailable (Scalar Curve_P384R1)

scalarToInteger :: proxy Curve_P384R1 -> Scalar Curve_P384R1 -> Integer

scalarFromInteger :: proxy Curve_P384R1 -> Integer -> CryptoFailable (Scalar Curve_P384R1)

scalarAdd :: proxy Curve_P384R1 -> Scalar Curve_P384R1 -> Scalar Curve_P384R1 -> Scalar Curve_P384R1

scalarMul :: proxy Curve_P384R1 -> Scalar Curve_P384R1 -> Scalar Curve_P384R1 -> Scalar Curve_P384R1

EllipticCurveBasepointArith Curve_P521R1

Defined in Crypto.ECC

Methods

curveOrderBits :: proxy Curve_P521R1 -> Int

pointBaseSmul :: proxy Curve_P521R1 -> Scalar Curve_P521R1 -> Point Curve_P521R1

pointsSmulVarTime :: proxy Curve_P521R1 -> Scalar Curve_P521R1 -> Scalar Curve_P521R1 -> Point Curve_P521R1 -> Point Curve_P521R1

encodeScalar :: ByteArray bs => proxy Curve_P521R1 -> Scalar Curve_P521R1 -> bs

decodeScalar :: ByteArray bs => proxy Curve_P521R1 -> bs -> CryptoFailable (Scalar Curve_P521R1)

scalarToInteger :: proxy Curve_P521R1 -> Scalar Curve_P521R1 -> Integer

scalarFromInteger :: proxy Curve_P521R1 -> Integer -> CryptoFailable (Scalar Curve_P521R1)

scalarAdd :: proxy Curve_P521R1 -> Scalar Curve_P521R1 -> Scalar Curve_P521R1 -> Scalar Curve_P521R1

scalarMul :: proxy Curve_P521R1 -> Scalar Curve_P521R1 -> Scalar Curve_P521R1 -> Scalar Curve_P521R1

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

NFData SharedSecret

Defined in Crypto.ECC

Methods

rnf :: SharedSecret -> ()

Eq SharedSecret

Defined in Crypto.ECC

Methods

(==) :: SharedSecret -> SharedSecret -> Bool

(/=) :: SharedSecret -> SharedSecret -> Bool

ByteArrayAccess SharedSecret

Defined in Crypto.ECC

Methods

length :: SharedSecret -> Int

withByteArray :: SharedSecret -> (Ptr p -> IO a) -> IO a

copyByteArrayToPtr :: SharedSecret -> Ptr p -> IO ()