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

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.

Publication Details

Journal
ArXiv.org
Published
2025-04-21
Primary Topic
Cryptographic Implementations and Security
Type
article
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article

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

ArXiv.org
Cryptographic Implementations and Security
article

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

article en

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.

ArXiv.org
Openalex Percentile: Top 73%
Cryptographic Implementations and Security
Open Access PDFOpenAlex
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Extending the ElGamal Cryptosystem to the Third Group of Units of $\Z_{n}$ · ArXiv.org (2025) | TGRS Research Map | TGRS