VERSION
Version 0.58SYNOPSIS
DESCRIPTION
Routines to generate random primes, including constructing proven primes.RANDOM UTILITY FUNCTIONS
get_randf
Gets a subroutine that will produce random integers between 0 and "n", inclusive. The argument "n" can be a bigint.get_randf_nbit
Gets a subroutine that will produce random integers between 0 and "2^n-1", inclusive.RANDOM PRIME FUNCTIONS
random_prime
Generate a random prime between "low" and "high". If given one argument, "low" will be 2.random_ndigit_prime
Generate a random prime with "n" digits. "n" must be at least 1.random_nbit_prime
Generate a random prime with "n" bits. "n" must be at least 2.random_maurer_prime
Construct a random provable prime of "n" bits using Maurer's FastPrime algorithm. "n" must be at least 2.random_maurer_prime_with_cert
Construct a random provable prime of "n" bits using Maurer's FastPrime algorithm. "n" must be at least 2. Returns a list of two items: the prime and the certificate.random_shawe_taylor_prime
Construct a random provable prime of "n" bits using Shawe-Taylor's algorithm. "n" must be at least 2. The implementation is from FIPS 186-4 and uses SHA-256 with 512 bits of randomness.random_shawe_taylor_prime_with_cert
Construct a random provable prime of "n" bits using Shawe-Taylor's algorithm. "n" must be at least 2. Returns a list of two items: the prime and the certificate.random_strong_prime
Construct a random strong prime of "n" bits. "n" must be at least 128.random_proven_prime
Generate or construct a random provable prime of "n" bits. "n" must be at least 2.random_proven_prime_with_cert
Generate or construct a random provable prime of "n" bits. "n" must be at least 2. Returns a list of two items: the prime and the certificate.RANDOM PRIMALITY FUNCTIONS
miller_rabin_random
Given a number "n" and a number of tests to perform "k", this does "k" Miller-Rabin tests on "n" using randomly selected bases. The return value is 1 if all bases are a witness to to "n", or 0 if any of them fail.AUTHORS
Dana Jacobsen <[email protected]>COPYRIGHT
Copyright 2012-2013 by Dana Jacobsen <[email protected]>This program is free software; you can redistribute it and/or modify it under the same terms as Perl itself.