Extending the ElGamal Cryptosystem to the Third Group of Units of ${\mathbb{Z}}_n$

Jana Hamza, Mohammad EL Hindi, Seifeddine Kadri +2

In this paper, we extend the ElGamal cryptosystem to the third group of units of the ring ${\mathbb{Z}}_n$, which we prove to be more secure than the previous extensions. We describe the a…