Introduction

Cryptography together with Computational Number Theory is a fast developing mathematical field due to its widespread in information security. Research surrounds mathematical ideas and subjects namely number theory, geometric algebra, chaos theory and other related fields. Amongst the widespread research areas are to find cryptographic efficient algorithms, primarily testing, factoring large integers, lattice-based cryptography, sieve methods, elliptic curve cryptography discrete log problems and other related fields. Eventual aims are the development, improvement and implementation of cryptographic protocols that are that can become standards for communications security.