Bent functions and line ovals
Combinatorics
2026-01-27 v4 Information Theory
math.IT
Abstract
In this paper we study those bent functions which are linear on elements of spreads, their connections with ovals and line ovals, and we give descriptions of their dual bent functions. In particular, we give a geometric characterization of Niho bent functions and of their duals, we give explicit formula for the dual bent function and present direct connections with ovals and line ovals. We also show that bent functions which are linear on elements of inequivalent spreads can be EA-equivalent.
Keywords
Cite
@article{arxiv.1609.03138,
title = {Bent functions and line ovals},
author = {Kanat Abdukhalikov},
journal= {arXiv preprint arXiv:1609.03138},
year = {2026}
}