Application of Decimated Mathematical Equations and Polynomial Root-Finding Method in Protection of Text Messages

Borislav Stoyanov (), Gyurhan Nedzhibov, Dimitar Dobrev and Tsvetelina Ivanova
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Borislav Stoyanov: Department of Computer Informatics, Faculty of Mathematics and Informatics, Konstantin Preslavsky University of Shumen, 9700 Shumen, Bulgaria
Gyurhan Nedzhibov: Department of Computer Informatics, Faculty of Mathematics and Informatics, Konstantin Preslavsky University of Shumen, 9700 Shumen, Bulgaria
Dimitar Dobrev: Department of Computer Informatics, Faculty of Mathematics and Informatics, Konstantin Preslavsky University of Shumen, 9700 Shumen, Bulgaria
Tsvetelina Ivanova: Department of Computer Informatics, Faculty of Mathematics and Informatics, Konstantin Preslavsky University of Shumen, 9700 Shumen, Bulgaria

Mathematics, 2023, vol. 11, issue 24, 1-13

Abstract: Cryptography is the process of transforming data so that only the recipient of the message can read it. It uses an algorithm and a key to convert an input into an encrypted output. In this study, we introduce a novel method for protecting readable messages through the utilization of a polynomial root-finding technique in conjunction with the decimated output of Zaslavsky equations. The innovative approach we have developed is a block encryption algorithm that offers both protection for sensitive information as well as adaptability to various block sizes, including dynamically changing block sizes. Precise security analysis is provided for the proposed algorithm using key space analysis and strong statistical tests. The presented results show that the novel block encryption protection provides a high level of security.

Keywords: text encryption; polynomial root-finding methods; mathematical algebraic equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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