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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

A Module-LWE driven post-quantum security model for 6G networks using discrete mathematical cryptography

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* Corresponding author · click or hover a name for details

pp. 3065–3073Vol. 29Issue 8August 2026DOI: 10.47974/JDMSC-2691 Crossmark XML
Received:
01 Dec 2025
Published Online:
14 Aug 2026
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2691
Pages:
3065–3073

Abstract

The advent of 6G communication introduces extreme performance requirements, including sub-millisecond latency, high reliability, and massive connectivity. These demands, combined with the threat posed by quantum computers, render classical cryptographic schemes such as RSA-2048 and ECC-P256 insecure. This paper presents a lattice-based post-quantum cryptographic (PQC) framework designed to secure 6G networks against quantum attacks. The proposed approach employs Module-LWE–based key encapsulation mechanisms and digital signatures. Numerical analysis demonstrates that the proposed lattice-KEM requires approximately 1184 bytes of public key and 1088 bytes of ciphertext, compared to 256 bytes for RSA-2048 and 64 bytes for ECC-P256. Computation time for lattice operations is measured at 148 ms, while RSA and ECC require 63 ms and 1.6 ms, respectively. Simulation results further show that at a 50-kbps control-channel rate, lattice-based key establishment incurs ~320 ms latency, whereas RSA and ECC require 102 ms and 11 ms. Despite higher communication overhead, the proposed method achieves 256-bit quantum security, outperforming classical systems vulnerable to quantum attacks. These findings confirm the suitability of lattice-based PQC as a robust and future-proof security solution for 6G networks.

Keywords

Subject Classifications

Primary 11T71Secondary 94A60

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