Enhanced Security in Post-Quantum Cryptography: A Comprehensive Lattice-Based Signature Scheme Using Matrix Groups
Year: 2024
Type: article
Abstract: This paper presents a robust lattice-based digital signature scheme that leverages matrix groups to enhance post-quantum security. Built on the hardness of lattice problems such as the Shortest Vector Problem (SVP) and Learning With Errors (LWE), combined with the complexity of the Matrix Group Conjugacy Problem our scheme demonstrates both theoretical and practical security. We rigorously establish the (MGCP), mathematical foundations, analyze the computational complexity, and provide numerical simulations to evaluate performance. This approach contributes a unique blend of lattice and matrix group theory, offering new insights and possibilities in post-quantum cryptography.
Authors: Alex Musa, Udoaka Otobong G
Institutions: University of Port Harcourt, Akwa Ibom State University
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4404834516