TARU PUBLICATIONS
Journal of Discrete Mathematical Sciences and Cryptography cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
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Open Access Research Article

Enhancing network security protocols with discrete mathematics application methods

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* Corresponding author · click or hover a name for details

pp. 933–941Vol. 29Issue 2-BFebruary 2026DOI: 10.47974/JDMSC-2544 Crossmark XML
Received:
09 Apr 2025
Published Online:
31 Dec 2025
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2544
Pages:
933–941

Abstract

Recent network environments are exposed to expanding threats that question the integrity of the conventional cryptographic processes. Conventional systems including RSA and ECC are effective but show the limitation in providing a balance between computational efficiency and robust security, particularly, with regard to changing attack models. This research highlights a missing link in incorporating structured mathematical frameworks, specifically discrete mathematics, for the protocol improvement. To overcome this, a new network security protocol is proposed by integrating the Finite Field Arithmetic with Prime Graph Structures. Finite fields provide secure key generation and encryption via modular operations and prime graphs provide trust-based topology because communication is possible only between co-prime connected nodes. The methodology provides the cryptographic strength with the topological robustness. Experimental evaluation shows that the proposed model delivers the reduced encryption time (15.2 ms), increased key exchange success rate (97.6%) and better attack resistance (96.3%) as against the standard RSA and ECC protocols. Also, the system has less computational overhead and is therefore appropriate for real-time applications.

Keywords

Subject Classifications

Primary 93A30Secondary 49K15

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