This library provides operations from number theory that frequently
arise in cryptographic applications, complementing the existing
built-ins and GMP bindings:
- [det]crypto_modular_inverse(+X,
+M, -Y)
- Compute the modular multiplicative inverse of the integer X. Y
is unified with an integer such that X*Y is
congruent to 1 modulo M.
- [det]crypto_generate_prime(+N,
-P, +Options)
- Generate a prime P with at least N bits. Options
is a list of options. Currently, the only supported option is:
- safe(Boolean)
- If Boolean is
true (default is false),
then a safe prime is generated. This means that P is
of the form 2*Q + 1 where Q is also prime.
- [semidet]crypto_is_prime(+P,
+Options)
- True iff P passes a probabilistic primality test. Options
is a list of options. Currently, the only supported option is:
- iterations(N)
- N is the number of iterations that are performed. If this
option is not specified, a number of iterations is used such that the
probability of a false positive is at most 2
^(-80).