An advanced encryption system based on soft sets

Erdal Bayram; Gülşah Çelik; Mustafa Gezek; Erdal Bayram; Gülşah Çelik; Mustafa Gezek

doi:10.3934/math.20241547

AIMS Mathematics

2024, Volume 9, Issue 11: 32232-32256. doi: 10.3934/math.20241547

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Research article

An advanced encryption system based on soft sets

Department of Mathematics, Tekirdağ Namık Kemal University, Tekirdağ 59030, Türkiye

Received: 08 September 2024 Revised: 20 October 2024 Accepted: 04 November 2024 Published: 14 November 2024
MSC : 94A60, 06D72, 11T71

Given the application domains of soft set theory, such as decision-making processes, image processing, machine learning, and data mining, it is natural to consider that this theory could be utilized more effectively in encryption systems. A review of the literature reveals that soft set-based encryption systems have been explored in a limited number of studies. This study seeks to develop a new approach for soft sets in encryption systems by utilizing newly introduced algebraic and topological tools. In this system, parties will be able to generate encryption keys independently using soft sets they determine themselves rather than through prior mutual agreement. Additionally, the method of key generation and the size of the key space in the resulting encryption system provides a more secure and distinct alternative compared to existing soft set-based encryption systems.
- encryption,
- maximum and minimum operators,
- soft computing,
- soft cryptosystem,
- soft sets
Citation: Erdal Bayram, Gülşah Çelik, Mustafa Gezek. An advanced encryption system based on soft sets[J]. AIMS Mathematics, 2024, 9(11): 32232-32256. doi: 10.3934/math.20241547

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Abstract

Given the application domains of soft set theory, such as decision-making processes, image processing, machine learning, and data mining, it is natural to consider that this theory could be utilized more effectively in encryption systems. A review of the literature reveals that soft set-based encryption systems have been explored in a limited number of studies. This study seeks to develop a new approach for soft sets in encryption systems by utilizing newly introduced algebraic and topological tools. In this system, parties will be able to generate encryption keys independently using soft sets they determine themselves rather than through prior mutual agreement. Additionally, the method of key generation and the size of the key space in the resulting encryption system provides a more secure and distinct alternative compared to existing soft set-based encryption systems.

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