Define either a binary curve or a prime curve.
Constructors
CurveF2m CurveBinary𝔽(2^m)
CurveFP CurvePrime𝔽p
Modulecrypton-2.1.7Haskell2010
Crypto.PubKey.ECC.Types
Contents
Synopsis
- data Curve
- data Point
- type PublicPoint
- type PrivateNumber
- data CurveBinary
- data CurvePrime
- value common_curve
- value curveSizeBits
- value ecc_fx
- value ecc_p
- data CurveCommon
- data CurveName
- value getCurveByName
- Packagecrypton-2.1.7
- Exports13
- LanguageHaskell2010
- LicenceBSD-3-Clause AND MIT AND ISC
- SourceTypes.hs
Instances5Eq, Data, Read, Show, NFData
Eq PointDefined in crypton-2.1.7 · Crypto.PubKey.ECC.TypesData PointDefined in crypton-2.1.7 · Crypto.PubKey.ECC.TypesRead PointDefined in crypton-2.1.7 · Crypto.PubKey.ECC.TypesShow PointDefined in crypton-2.1.7 · Crypto.PubKey.ECC.TypesNFData PointDefined in crypton-2.1.7 · Crypto.PubKey.ECC.Types
ECC Public Point
ECC Private Number
Define an elliptic curve in 𝔽(2^m). The firt parameter is the Integer representatioin of the irreducible polynomial f(x).
Constructors
Instances5Eq, Data, Read, Show, NFData
Eq CurveBinaryDefined in crypton-2.1.7 · Crypto.PubKey.ECC.TypesData CurveBinaryDefined in crypton-2.1.7 · Crypto.PubKey.ECC.TypesRead CurveBinaryDefined in crypton-2.1.7 · Crypto.PubKey.ECC.TypesShow CurveBinaryDefined in crypton-2.1.7 · Crypto.PubKey.ECC.TypesNFData CurveBinaryDefined in crypton-2.1.7 · Crypto.PubKey.ECC.Types
Define an elliptic curve in 𝔽p. The first parameter is the Prime Number.
Constructors
Instances4Eq, Data, Read, Show
Eq CurvePrimeDefined in crypton-2.1.7 · Crypto.PubKey.ECC.TypesData CurvePrimeDefined in crypton-2.1.7 · Crypto.PubKey.ECC.TypesRead CurvePrimeDefined in crypton-2.1.7 · Crypto.PubKey.ECC.TypesShow CurvePrimeDefined in crypton-2.1.7 · Crypto.PubKey.ECC.Types
Parameters in common between binary and prime curves.
get the size of the curve in bits
Irreducible polynomial representing the characteristic of a CurveBinary.
Prime number representing the characteristic of a CurvePrime.
Define common parameters in a curve definition of the form: y^2 = x^3 + ax + b.
Instances4Eq, Data, Read, Show
Eq CurveCommonDefined in crypton-2.1.7 · Crypto.PubKey.ECC.TypesData CurveCommonDefined in crypton-2.1.7 · Crypto.PubKey.ECC.TypesRead CurveCommonDefined in crypton-2.1.7 · Crypto.PubKey.ECC.TypesShow CurveCommonDefined in crypton-2.1.7 · Crypto.PubKey.ECC.Types
Recommended curves definition
Define names for known recommended curves.
SEC_p112r1SEC_p112r2SEC_p128r1SEC_p128r2SEC_p160k1SEC_p160r1SEC_p160r2SEC_p192k1SEC_p192r1SEC_p224k1SEC_p224r1SEC_p256k1SEC_p256r1SEC_p384r1SEC_p521r1SEC_t113r1SEC_t113r2SEC_t131r1SEC_t131r2SEC_t163k1SEC_t163r1SEC_t163r2SEC_t193r1SEC_t193r2SEC_t233k1SEC_t233r1SEC_t239k1SEC_t283k1SEC_t283r1SEC_t409k1SEC_t409r1SEC_t571k1SEC_t571r1
Instances7Bounded, Enum, Eq, Data, Ord, Read, …
Bounded CurveNameDefined in crypton-2.1.7 · Crypto.PubKey.ECC.TypesEnum CurveNameDefined in crypton-2.1.7 · Crypto.PubKey.ECC.TypesEq CurveNameDefined in crypton-2.1.7 · Crypto.PubKey.ECC.TypesData CurveNameDefined in crypton-2.1.7 · Crypto.PubKey.ECC.TypesOrd CurveNameDefined in crypton-2.1.7 · Crypto.PubKey.ECC.TypesRead CurveNameDefined in crypton-2.1.7 · Crypto.PubKey.ECC.TypesShow CurveNameDefined in crypton-2.1.7 · Crypto.PubKey.ECC.Types
Get the curve definition associated with a recommended known curve name.