On the isotopism classes of Budaghyan-Helleseth commutative semifields
Tao Feng, Weicong Li
TL;DR
This paper fully classifies the isotopism classes of a specific family of commutative semifields, advancing understanding of their algebraic structure and equivalence classes.
Contribution
It provides a complete determination of the isotopism classes of the Budaghyan-Helleseth commutative semifields, a previously unresolved problem.
Findings
Complete classification of isotopism classes.
Identification of algebraic invariants distinguishing classes.
Clarification of the structure of these semifields.
Abstract
In this paper, we completely determine the isotopism classes of the Budaghyan-Helleseth commutative semifields constructed in [L. Budaghyan, T. Helleseth, New commutative semifields defined by PN multinomials, Crypto. Comm. 3 (1), 2011, p. 1-16].
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.