| Issue |
E3S Web Conf.
Volume 297, 2021
The 4th International Conference of Computer Science and Renewable Energies (ICCSRE'2021)
|
|
|---|---|---|
| Article Number | 01046 | |
| Number of page(s) | 5 | |
| DOI | https://doi.org/10.1051/e3sconf/202129701046 | |
| Published online | 22 September 2021 | |
A New Symmetric Key Cryptographic Algorithm using Paley Graphs and ASCII Values
1 Department of Mathematics, FST Mohammedia, Hassan II university, Casablanca, Morocco
2 Department of Mathematics, FST Mohammedia, Hassan II University, Casablanca, Morocco
* e-mail: oumazouzzhour@gmail.com
** e-mail: dkarim@gmail.com
The main objective of the study conducted in this article is to introduce a new algorithm of encryption and decryption of a sensitive message after transforming it into a binary message. Our proposed encryption algorithm is based on the study of a particular graph constructed algebraically from the quadratic residues. We have exploited the Paley graph to introduce an abstract way of encryption of such message bit according to the other message bits by the intermidiate study of the neighborhood of a graph vertex. The strong regularity of the Paley graphs and the unknown behavior of the quadratic residues will play a very important role in the cryptanalysis part which allows to say that the brute force attack remains for the moment the only way to obtain the set of possible messages.
© The Authors, published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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