International Journal For Multidisciplinary Research

E-ISSN: 2582-2160     Impact Factor: 9.24

A Widely Indexed Open Access Peer Reviewed Multidisciplinary Bi-monthly Scholarly International Journal

Call for Paper Volume 7, Issue 2 (March-April 2025) Submit your research before last 3 days of April to publish your research paper in the issue of March-April.

Lattice-Based Cryptography: A Post-Quantum Solution to Secure Digital Communications in the Age of Quantum Computing

Author(s) Ishmeet Singh
Country India
Abstract This paper delves into lattice-based cryptography as a cornerstone of post-quantum cryptography (PQC), exploring its evolution, key principles, and applications. It examines how lattice-based schemes leverage the inherent hardness of problems such as the Shortest Vector Problem (SVP) and Learning With Errors (LWE) to provide quantum-resistant encryption, digital signatures, and homomorphic encryption. The paper also outlines the historical development of lattice-based cryptography, emphasizing its resilience to quantum attacks in contrast to traditional schemes like RSA and ECC, which are vulnerable to Shor's algorithm. Core concepts, including lattice trapdoors, parameter optimization, and real-world applications in blockchain, cryptocurrencies, and secure communication protocols, are explored in detail. Furthermore, the paper highlights ongoing standardization efforts led by NIST, ethical considerations, practical challenges, and future research directions aimed at improving efficiency, ensuring interoperability, and expanding lattice cryptography’s use in advanced security frameworks. Through comprehensive analysis, this research underscores the importance of lattice-based cryptography as a critical pillar for securing the digital ecosystem against the emerging threat of quantum computing.
Keywords Lattice-based cryptography, Post-quantum cryptography (PQC), Shortest Vector Problem (SVP), Learning With Errors (LWE), Quantum computing, Cryptographic algorithms, Digital signatures, Trapdoors, NIST standardization, Homomorphic encryption, Blockchain security, Quantum-resistant encryption, Cybersecurity, Public key cryptography, Future cryptographic systems.
Published In Volume 7, Issue 2, March-April 2025
Published On 2025-03-26
DOI https://doi.org/10.36948/ijfmr.2025.v07i02.38377
Short DOI https://doi.org/g895fv

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