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Published on 28 May 2024
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Zhu,L. (2024). Profound integration of elementary number theory in composite encryption systems: A mathematical security exploration. Theoretical and Natural Science,36,14-19.
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Profound integration of elementary number theory in composite encryption systems: A mathematical security exploration

Liusu Zhu *,1,
  • 1 Suzhou High School International Division

* Author to whom correspondence should be addressed.

https://doi.org/10.54254/2753-8818/36/20240505

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

[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.

Cite this article

Zhu,L. (2024). Profound integration of elementary number theory in composite encryption systems: A mathematical security exploration. Theoretical and Natural Science,36,14-19.

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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About volume

Volume title: Proceedings of the 2nd International Conference on Mathematical Physics and Computational Simulation

Conference website: https://www.confmpcs.org/
ISBN:978-1-83558-441-5(Print) / 978-1-83558-442-2(Online)
Conference date: 9 August 2024
Editor:Anil Fernando
Series: Theoretical and Natural Science
Volume number: Vol.36
ISSN:2753-8818(Print) / 2753-8826(Online)

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