base^exp Power in O ln N time. This project implements a modular exponentiation algorithm using Python, which efficiently calculates ( \text{base}^\text{exp} \mod \text{const} ). The algorithm is used ...

Abstract: Modular exponentiation is fundamental operation in the many cryptosystem such as RSA. This operation is implemented by repeating modular multiplication which is time consuming for large ...

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

Reversible circuits for modular multiplication Cx%M with x M arise as components of modular exponentiation in Shor's quantum number-factoring algorithm. However, existing generic constructions focus ...

This repository contains a simple yet complete implementation of Shor's Algorithm, a quantum algorithm for integer factorization that runs exponentially faster than the best known classical algorithms ...