Define either a binary curve or a prime curve.
Constructors
CurveF2m CurveBinary𝔽(2^m)
CurveFP CurvePrime𝔽p
Modulecrypto-pubkey-types-0.4.3Haskell98
Crypto.Types.PubKey.ECC
Contents
Synopsis
- data Curve
- data Point
- type PublicPoint
- type PrivateNumber
- data CurveBinary
- data CurvePrime
- value common_curve
- value ecc_fx
- value ecc_p
- data CurveCommon
- data CurveName
- value getCurveByName
- Packagecrypto-pubkey-types-0.4.3
- Exports12
- LanguageHaskell98
- LicenceBSD-3-Clause
- SourceECC.hs
Instances4Eq, Data, Read, Show
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
Instances4Eq, Data, Read, Show
Eq CurveBinaryDefined in crypto-pubkey-types-0.4.3 · Crypto.Types.PubKey.ECCData CurveBinaryDefined in crypto-pubkey-types-0.4.3 · Crypto.Types.PubKey.ECCRead CurveBinaryDefined in crypto-pubkey-types-0.4.3 · Crypto.Types.PubKey.ECCShow CurveBinaryDefined in crypto-pubkey-types-0.4.3 · Crypto.Types.PubKey.ECC
Define an elliptic curve in 𝔽p. The first parameter is the Prime Number.
Constructors
Instances4Eq, Data, Read, Show
Eq CurvePrimeDefined in crypto-pubkey-types-0.4.3 · Crypto.Types.PubKey.ECCData CurvePrimeDefined in crypto-pubkey-types-0.4.3 · Crypto.Types.PubKey.ECCRead CurvePrimeDefined in crypto-pubkey-types-0.4.3 · Crypto.Types.PubKey.ECCShow CurvePrimeDefined in crypto-pubkey-types-0.4.3 · Crypto.Types.PubKey.ECC
Parameters in common between binary and prime curves.
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 crypto-pubkey-types-0.4.3 · Crypto.Types.PubKey.ECCData CurveCommonDefined in crypto-pubkey-types-0.4.3 · Crypto.Types.PubKey.ECCRead CurveCommonDefined in crypto-pubkey-types-0.4.3 · Crypto.Types.PubKey.ECCShow CurveCommonDefined in crypto-pubkey-types-0.4.3 · Crypto.Types.PubKey.ECC
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
Instances8Enum, Eq, Data, Ord, Read, Show, …
Enum CurveNameDefined in crypto-pubkey-types-0.4.3 · Crypto.Types.PubKey.ECCEq CurveNameDefined in crypto-pubkey-types-0.4.3 · Crypto.Types.PubKey.ECCData CurveNameDefined in crypto-pubkey-types-0.4.3 · Crypto.Types.PubKey.ECCOrd CurveNameDefined in crypto-pubkey-types-0.4.3 · Crypto.Types.PubKey.ECCRead CurveNameDefined in crypto-pubkey-types-0.4.3 · Crypto.Types.PubKey.ECCShow CurveNameDefined in crypto-pubkey-types-0.4.3 · Crypto.Types.PubKey.ECCOIDNameable CurveNameDefined in crypto-pubkey-types-0.4.3 · Crypto.Types.PubKey.ECCOIDable CurveNameDefined in crypto-pubkey-types-0.4.3 · Crypto.Types.PubKey.ECC
Get the curve definition associated with a recommended known curve name.