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 ...

Abstract: Modular exponentiation (ME) that computes by repeating modular multiplications (M2), is main operation in public-key cryptosystems. In recent years, many researchers studied on improving M2 ...

Abstract: Modular exponentiation is the main operation of RSA-based public-key cryptosystems. It is implemented by repeated modular multiplications which are time consuming for large operands.

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 ...

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 ...

This repository is for our paper entitled "Modular Inversion Architecture over GF(2^m) Using Optimal Exponentiation Blocks for ECC Cryptosystems". This paper is published in "The IEEE International ...