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
submissions@tarupublications.com
Open Access Research Article

Enhancing data privacy through cryptographic innovations in discrete mathematical systems

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pp. 1461–1472Vol. 28Issue 5-AAugust 2025DOI: 10.47974/JDMSC-2145 Crossmark XML
Received:
05 Nov 2024
Published Online:
30 Aug 2025
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2145
Pages:
1461–1472

Abstract

In the cyber industry the classical cryptosystems like RSA and ECC in the rapidly changed quantum computing cyber industry include threats to their very basic security assumptions. Th paper presents a lattice-based encryption framework that attempts to solve the security challenges emanating from the quantum cyber industry. Finally, a full comparison is drawn between the proposed lattice-based scheme against traditional cryptography techniques like RSA and ECC. Lattice-based cryptography can be considered one of the technologies that could potentially provide a solution for securing digital infrastructures, thereby allowing secure online transactions and keeping personal data safe from potential quantum computing threats. The results show that lattice-based encryption is computationally more costly in key generation, encryption, and decryption compared to RSA and ECC. Because the trade-off is in its superiority in protecting against quantum attacks. The comparative analysis pinpoints a trade-off between security and efficiency, hence underlining how lattice-based algorithms still need much refinement. The innovation regarding lattice-based encryption, despite its increased computational expense, will surely help in the development of cryptographic techniques may resist quantum threats to data security in a sustainable manner.

Keywords

Subject Classifications

Primary 93A30Secondary 49K15

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