proposal of a new isogeny-based cryptographic protocol: formal analysis and comparison

‎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.