(Deep) Learning About Elliptic Curve Cryptography

Diana Maimuţ; Cristian Matei; George Teşeleanu

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Paper

(Deep) Learning About Elliptic Curve Cryptography

Topics: AI and Machine Learning for Security; Cryptographic Algorithms

In Proceedings of the 11th International Conference on Information Systems Security and Privacy - Volume 2: ICISSP, 437-444, 2025 , Porto, Portugal

Authors: Diana Maimuţ ¹ ; Cristian Matei ¹ and George Teşeleanu ²

Affiliations: ¹ Advanced Technologies Institute, 10 Dinu Vintilă, Bucharest, Romania ; ² Simion Stoilow Institute of Mathematics of the Romanian Academy, 21 Calea Grivitei, Bucharest, Romania

Keyword(s): Elliptic Curve, Elliptic Curve Cryptography, Schoof’s Algorithm, Artificial Intelligence.

Abstract: Motivated by the interest in elliptic curves both from a theoretical (algebraic geometry) and applied (cryptography) perspective, we conduct a preliminary study on the underlying mathematical structure of these mathematical structures. Hence, this paper mainly focuses on investigating artificial intelligence techniques to enhance the efficiency of Schoof’s algorithm for point counting across various elliptic curve distributions, achieving varying levels of success.

CC BY-NC-ND 4.0

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Paper citation in several formats:

Maimuţ, D., Matei, C. and Teşeleanu, G. (2025). (Deep) Learning About Elliptic Curve Cryptography. In Proceedings of the 11th International Conference on Information Systems Security and Privacy - Volume 2: ICISSP; ISBN 978-989-758-735-1; ISSN 2184-4356, SciTePress, pages 437-444. DOI: 10.5220/0013095100003899

@conference{icissp25,
author={Diana Maimuţ and Cristian Matei and George Teşeleanu},
title={(Deep) Learning About Elliptic Curve Cryptography},
booktitle={Proceedings of the 11th International Conference on Information Systems Security and Privacy - Volume 2: ICISSP},
year={2025},
pages={437-444},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0013095100003899},
isbn={978-989-758-735-1},
issn={2184-4356},
}

TY - CONF

JO - Proceedings of the 11th International Conference on Information Systems Security and Privacy - Volume 2: ICISSP
TI - (Deep) Learning About Elliptic Curve Cryptography
SN - 978-989-758-735-1
IS - 2184-4356
AU - Maimuţ, D.
AU - Matei, C.
AU - Teşeleanu, G.
PY - 2025
SP - 437
EP - 444
DO - 10.5220/0013095100003899
PB - SciTePress