A library for number theory and modular arithmetic algorithms in Python e.g. Pollard Rho, Miller–Rabin primality test, Cipolla, etc ...

Pure-Python library for working with modular arithmetic, congruence classes, and finite fields. A library for number theory and modular arithmetic algorithms in Python e.g. Pollard Rho, Miller–Rabin ...

Modular arithmetic is becoming an area of major importance for many modern applications; RNS is widely used in digital signal processing, and most public-key cryptographic algorithms require very fast ...

Montgomery algorithms represent a transformative advancement in the computation of modular arithmetic, specifically designed to bypass the costly division steps inherent in traditional methods.

Numerous cryptographic algorithms (ElGamal, Rabin, RSA, NTRU etc) require multiple computations of modulo multiplicative inverses. This paper describes and validates a new algorithm, called the ...

The Extended Euclidean algorithm calculates an associated factor at each step. It is the final value of this factor, the modular multiplicative inverse, that is the private key—29 in this case.