Proposal of a New Isogeny-Based Cryptographic Protocol: Formal Analysis and Comparison
نویسندگان
1 Department of Mathematics, Faculty of sciences Dhar Almahraz, University of Sidi Mohammed Ben Abdellah, Fez, MoroccoFES SAIS
2 Department of Mathematics, Faculty of sciences Dhar Almahraz, University of Sidi Mohammed Ben Abdellah, Fez, MoroccoFES SAIS
doi
10.22052/mir.2024.255405.1476چکیده
This paper proposes a novel isogeny-based cryptographic protocol that leverages the dual hardness of the isogeny problem and linear code decoding for secure post-quantum key exchange. The proposed protocol, Isogeny-Based Key Exchange with Error-Correcting Codes (IKEC), offers enhanced security, computational efficiency, and practical applicability, making it a viable alternative to existing schemes like SIDH. We provide a rigorous mathematical description of the protocol, including key generation, key exchange, security analysis, and performance evaluation. Additionally, we present a formal analysis, comprehensive comparisons with existing protocols, and insights into potential attack vectors and countermeasures. The discussion concludes with potential real-world applications, advanced cryptographic techniques, and future research directions.
