Abstract: 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 ...

Abstract: This paper presents a dual-field modular division (inversion) algorithm and its hardware design. The algorithm is based on the Extended Euclidean and the Binary GCD algorithms. The use of ...

This implementation of RSA is written in Python from first principles, without relying on black-box cryptographic libraries. Its purpose is to expose the moving parts of public-key cryptography: ...

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 ...

This project implements a basic RSA encryption and decryption system using C++, following the assignment requirement to avoid any external cryptographic libraries. It demonstrates how RSA works ...

This is a preview. Log in through your library . Abstract The classical theorem of Bombieri and Vinogradov is generalized to a non-abelian, non-Galois setting. This leads to a prime number theorem of ...