Enhanced Method for RSA Cryptosystem Algorithm

Abstract

This paper proposed enhancing the RSA algorithm through the use of additional third prime number in the composition of the public and private key. This will increase the factoring complexity of the variable (n), where the process of its analysis with the development of equipment and tools becomes much easier nowadays.The existence of three prime numbers will give the ability to the enhanced encryption method to increase the difficulty of factoring of the variable (n), as well as speed increasing in the process of encryption and decryption. To generate a variable (n) using the original RSA algorithm, which contributes generating the public and private key that have a number of 300 digits by using two primes number with 150 digits each. In this case the multiplication process will take longer than the time of generating the same variable (n) by using three prime numbers where each number with 100 digits.We have conducted experiments on a set of numbers randomly, as they proved that the Enhanced Method for RSA Cryptosystem Algorithm is faster than the original algorithm in encryption and decryption process and generating public and private key. Also it shows that the analysis of the variable (n) will take a long time in the Enhanced Method for RSA Cryptosystem Algorithm and this indicates the increasing complexity in the analysis method.