The growing threat of cyberattacks has rendered the research of secure online systems an issue of concern. Elliptic Curve Cryptography (ECC) is an enhanced security benchmark that provides high-security levels with small key sizes. This work exhibits an Algebraic Cryptanalysis (AC) technique to evaluate and enhance ECC security systems with Gröbner Bases (GB). This paper investigates ECC vulnerabilities and recommends a technique for using GB to address the Elliptic Curve Discrete Logarithm Problem (ECDLP). Analysed amid conventional techniques such as Baby-Step Giant-Step (BS-GS), Pollard’s Rho (PR), and Pohlig-Hellman (PH), the approach was evaluated. The report proves that the proposed approach has a higher SR, averaging 96.33% throughout all tests.
Authors: Madan Mohan Tito Ayyalasomayajula, Hayder M. A. Ghanimi, A. Manimaran, Vijaya Krishna Sonthi, Abrar Ahmed Katiyan, Sudhakar Sengan, Pankaj Dadheech
DOI: https://doi.org/10.47974/jdmsc-2093
Publish Year: 2024
