A modification of the elliptic curve massey-omura cryptosystem

Abstract

Several advancements have been made to the Massey-Omura cryptographic system due to its significance in secure communication. These improvements aim to improve security and efficiency, ensuring the system remains robust against evolving technological challenges in data exchange. This paper presents a modification of the elliptic curve analogue of the Massey-Omura cryptosystem by incorporating a matrix-based structure. Compared to the original system, this novel approach offers enhanced security, as an attacker must solve the Elliptic Curve Discrete Logarithm Problem (ECDLP) multiple times, depending on the size of the secret matrices chosen by the users. This significantly strengthens the system’s resilience against cryptanalysis and increases its potential for use in modern secure communication protocols.