Theoretical and Natural Science
- The Open Access Proceedings Series for Conferences
Theoretical and Natural Science
Vol. 36, 28 May 2024
Open
Access | Article
Profound integration of elementary number theory in composite encryption systems: A mathematical security exploration
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Abstract
Number Theory, the investigation of natural numbers, is a time-honored discipline within Mathematics that has captivated mathematicians over numerous centuries due to its inherent purity. In today's world, a thorough understanding of Number Theory is essential for the advancement of cutting-edge technology, as it is extensively applied in domains such as software engineering and cryptography. The objective of this study is to elucidate the understanding of Number Theory that underlies several composite encryption systems and analyze the advantages and disadvantages of each encryption system through a comprehensive examination of existing literature. The discipline of Number Theory has extensive practical implications in cryptography and holds the promise of being increasingly employed in various domains in the future. By elucidating the role of Number Theory in various encryption systems, the fundamental nature of encryption can be enhanced, hence fostering the emergence of novel methodologies or approaches in information security.
Keywords
Elementary Number Theory, Cryptography, Encryption System, Information Security
References
1. Andress, Jason. Caesar Cipher - an Overview of ScienceDirect Topics [J]. Sciencedirect, 2011.
2. Christensen, Chris. Caesar Ciphers [D]. Northern Kentucky University, 2019.
3. Cocks, C. C. A NOTE on NON-SECRET ENCRYPTION [J]. Semantic Scholar, 1973.
4. Jacobs, Jason. NUMBER THEORY in CRYPTOGRAPHY [D] University of Chicago Mathematics REU, 2021.
5. Kenneth, Kenneth H., and Honggang Xia. Elementary Number Theory and Its Applications [M]. China Machine Press, 2015.
Data Availability
The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.
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- Volume Title
- Proceedings of the 2nd International Conference on Mathematical Physics and Computational Simulation
- ISBN (Print)
- 978-1-83558-441-5
- ISBN (Online)
- 978-1-83558-442-2
- Published Date
- 28 May 2024
- Series
- Theoretical and Natural Science
- ISSN (Print)
- 2753-8818
- ISSN (Online)
- 2753-8826
- DOI
- 10.54254/2753-8818/36/20240505
- Copyright
- 28 May 2024
- Open Access
- This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited