Triprojective almost perfect nonlinear permutations and functions
组合数学
2026-05-19 v1 信息论
math.IT
摘要
We give a large family of almost perfect nonlinear (APN) permutations of finite vector spaces of every odd dimension divisible by three. We also give APN functions that are not bijective on even dimensions and related highly nonlinear functions. The functions we provide admit a so-called triprojective structure induced by the general linear group .
引用
@article{arxiv.2605.17545,
title = {Triprojective almost perfect nonlinear permutations and functions},
author = {Faruk Göloğlu and Lukas Kölsch},
journal= {arXiv preprint arXiv:2605.17545},
year = {2026}
}