cryptocipher-0.3.0: Symmetrical Block, Stream and PubKey Ciphers

PortabilityGood
Stabilityexperimental
MaintainerVincent Hanquez <vincent@snarc.org>
Safe HaskellSafe-Infered

Number.Prime

Description

 

Synopsis

Documentation

generatePrime :: CryptoRandomGen g => g -> Int -> Either GenError (Integer, g)Source

generate a prime number of the required bitsize

generateSafePrime :: CryptoRandomGen g => g -> Int -> Either GenError (Integer, g)Source

generate a prime number of the form 2p+1 where p is also prime. it is also knowed as a Sophie Germaine prime or safe prime.

The number of safe prime is significantly smaller to the number of prime, as such it shouldn't be used if this number is supposed to be kept safe.

isProbablyPrime :: CryptoRandomGen g => g -> Integer -> Either GenError (Bool, g)Source

returns if the number is probably prime. first a list of small primes are implicitely tested for divisibility, then the Miller Rabin algorithm is used with an accuracy of 30 recursions

findPrimeFrom :: CryptoRandomGen g => g -> Integer -> Either GenError (Integer, g)Source

find a prime from a starting point with no specific property.

findPrimeFromWith :: CryptoRandomGen g => g -> (g -> Integer -> Either GenError (Bool, g)) -> Integer -> Either GenError (Integer, g)Source

find a prime from a starting point where the property hold.

primalityTestNaive :: Integer -> BoolSource

Test naively is integer is prime. while naive, we skip even number and stop iteration at i > sqrt(n)

primalityTestMillerRabin :: CryptoRandomGen g => g -> Int -> Integer -> Either GenError (Bool, g)Source

Miller Rabin algorithm return if the number is probably prime or composite. the tries parameter is the number of recursion, that determines the accuracy of the test.

isCoprime :: Integer -> Integer -> BoolSource

Test is two integer are coprime to each other