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arXiv · 2504.15202

Extending the ElGamal Cryptosystem to the Third Group of Units of $\Z_{n}$

Jana Hamza·Mohammad EL Hindi·Seifeddine Kadri·Therrar Kadri·Yahya Awad
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Abstract

In this paper, we extend the ElGamal cryptosystem to the third group of units of the ring $\Z_{n}$, which we prove to be more secure than the previous extensions. We describe the arithmetic needed in the new setting. We also provide some numerical simulations that shows the security and efficiency of our proposed cryptosystem.

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Jana Hamza, Mohammad EL Hindi, Seifeddine Kadri, Therrar Kadri, Yahya Awad. 2025-04-21. Extending the ElGamal Cryptosystem to the Third Group of Units of $\Z_{n}$. https://arxiv.org/abs/2504.15202

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