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Journal of Discrete Mathematical Sciences and Cryptography cover

Journal of Discrete Mathematical Sciences and Cryptography

(Since 1998)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

CiteScore 2025: 2.7 (Q1)

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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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Journal of Discrete Mathematical Sciences and Cryptography
Open Access Research Article

Secure key exchange and digital signatures via elliptic curves and discrete mathematical principles 

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pp. 3081–3089Vol. 28Issue 8December 2025DOI: 10.47974/JDMSC-2469 Crossmark XML
Received:
03 Jul 2025
Published Online:
08 Dec 2025
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2469
Pages:
3081–3089

Abstract

A strong framework for creating safe and effective cryptographic systems, elliptic curve cryptography (ECC) is especially useful for digital signature and key exchange protocols. Based on the principles of algebraic geometry and discrete mathematics, ECC requires significantly shorter key lengths while achieving the same level of security as traditional algorithms like RSA, making it ideal for contemporary settings where resource optimization and computational speed are crucial. With a focus on combinatorial logic and discrete structures, this paper explores the mathematical foundations of ECC and highlights how they contribute to its reliability and robustness. In-depth examinations of signature systems like the Elliptic Curve Digital Signature Algorithm (ECDSA) and key exchange strategies like Elliptic Curve Diffie–Hellman (ECDH) are given. In-depth analyses are also conducted of implementation issues, potential attack routes, and the importance of ECC in both present-day and next-generation cryptographic frameworks.

Keywords

Elliptic curve cryptography (ECC)Key exchangeDigital signaturesInformation securityLightweight cryptographyCloud securityCryptographic algorithmsSecure communicationEnergy-efficient cryptograph

Subject Classifications

Primary 93A30Secondary 49K15

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