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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.

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Open Access Research Article

Post-quantum cryptographic schemes using lattice problems

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pp. 4065–4074Vol. 29Issue 10-AOctober 2026DOI: 10.47974/JDMSC-3032 Crossmark XML
Received:
01 Apr 2026
Published Online:
31 Oct 2026
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-3032
Pages:
4065–4074

Abstract

The quick progress of quantum computing is a considerable risk to the classical cryptography of the public key and, the creation of quantum-resistant analogs is necessary. This paper provides a generalized architecture of post-quantum cryptographic schemes, by using lattice problems, especially Learning with Errors (LWE) and Ring-LWE (RLWE). The suggested architecture combines the secure public-key encryption and key encapsulation mechanisms (KEMs) with the implementation in the IoT, blockchain, and cloud setup. An original lattice-based encryption design is developed that hybridizes with classical cryptographic primitives to improve security, efficiency and interoperability. It is a methodology that focuses on structured lattice formulations, noise based hardness models and parameter selection optimisation of real time performance. It is proved that experimental analysis has better resilience against quantum attacks and is computationally efficient. The outcomes confirm the high level of strength and scalability of the proposed solution, which can be implemented in the next generation secure communication systems.

Keywords

Subject Classifications

94A6011H0668P25

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