Biography
Dr. Ilias Cherkaoui joined Walton Institute in 2024. He is a mathematician with expertise in cryptography and some applications in cybersecurity, having spent a period working on dynamical systems and their intersection with number theory, especially chaos theory of it, and notably its ergodic aspect.
Algebra, calculus, numerical analysis
Chaos theory, post-quantum cryptography, ergodic number theory, cybersecurity, error correcting codes, machine learning.
Some experience in teaching and Cybersecurity Engineering, member of Internet Society world chapters and OpenMined as well as quantum Circle and different organisations.
Formal Verification of Confidentiality in DNSSEC and E-DNSSEC Protocols using pi-calculus and ProVerif. Kaouthar Chetiouia, Ghizlane Orhanoub, Hicham Bensaidc , ilias Cherkaoui , Youness Chibi. International Workshop on Emerging Networks and Communication, Coimbra, Portugal 2019, Elsevier.
On the use of Egyptian fractions for stream ciphers. I. Cherkaoui, F. Zinoun. Journal of Discrete Mathematical Sciences & Cryptography, 2023.
Diffie-Hellman Multi-Challenge using a New Lossy Trapdoor Function Construction. I. Cherkaoui. International Journal of Applied Mathematics, 2023.
Novel Hybrid Post-Quantum Encryption Design on Embedded Devices. Ilias Cherkaoui, Omer Ali, Jerry Horgan. IEEE International Conference on Emerging Technologies and Factory Automation - University of Padova, Padova, Italy, 2024.
QUASI-CYCLIC LINEAR ERROR-BLOCK CODE-BASED POST-QUANTUM SIGNATURE. I. Cherkaoui, S. Belabssir, J. Horgan and I. Dey, 2025 ,arXiv.org:2503.23405.
Zero-Trust Post-quantum Cryptography Implementation Using Category Theory. I.Cherkaoui, C. Clarke, J.Horgan and Indrakshi Dey. IACR preprint 2025/959.
Engel p-adic Isogeny-based Cryptography over Laurent Series: Foundations, Security, and an ESP32 Implementation. Ilias Cherkaoui and Indrakshi Dey, arXiv 2511.20533, 2025.
Dyadic-Chaotic Lifting S-Boxes for Enhanced Physical-Layer Security within 6G Networks. Ilias Cherkaoui and Indrakshi Dey. arXiv:2511.12325, 2025.
QMA Complete Quantum-Enhanced Kyber: Provable Security Through CHSH Nonlocality. Ilias Cherkaoui and Indrakshi Dey. arXiv:2511.12318, 2025.