Relative Difference sets from Almost Perfect Nonlinear Functions
Combinatorics
2026-03-12 v1
Abstract
In this paper we explore a connection between certain Almost Perfect Nonlinear Functions (APN functions) and relative difference sets. In particular, we show that the image set of certain 2-to-1 APN functions is a relative difference set. Through a result of Pott this further provides a connection between APN functions and bent functions.
Cite
@article{arxiv.2603.10203,
title = {Relative Difference sets from Almost Perfect Nonlinear Functions},
author = {Zeying Wang},
journal= {arXiv preprint arXiv:2603.10203},
year = {2026}
}