Extending the ElGamal Cryptosystem to the Third Group of Units of $\Z_{n}$
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908329574400000 |
|---|---|
| author | Hamza, Jana Hindi, Mohammad EL Kadri, Seifeddine Kadri, Therrar Awad, Yahya |
| author_facet | Hamza, Jana Hindi, Mohammad EL Kadri, Seifeddine Kadri, Therrar Awad, Yahya |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_15202 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extending the ElGamal Cryptosystem to the Third Group of Units of $\Z_{n}$ Hamza, Jana Hindi, Mohammad EL Kadri, Seifeddine Kadri, Therrar Awad, Yahya Cryptography and Security Information Theory Group Theory Probability Rings and Algebras 20D45, 68W30 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. |
| title | Extending the ElGamal Cryptosystem to the Third Group of Units of $\Z_{n}$ |
| topic | Cryptography and Security Information Theory Group Theory Probability Rings and Algebras 20D45, 68W30 |
| url | https://arxiv.org/abs/2504.15202 |