A Generalization of APN Functions for Odd Characteristic

2016/12/27 by Masamichi Kuroda, Shuhei Tsujie · 1 citation
Mathematics · #math.CO #msc:05B25 #msc:94A60

paper · pdf · doi:10.1016/j.ffa.2017.05.001

arxiv created 2016/12/27 · crossref created 2017/06/07 · crossref issued 2017/09/01 · crossref published 2017/09/01 · crossref published-print 2017/09/01 · arxiv updated 2018/07/09 · crossref deposited 2021/11/03 · crossref indexed 2026/07/29

Abstract

Almost perfect nonlinear (APN) functions on finite fields of characteristic two have been studied by many researchers. Such functions have useful properties and applications in cryptography, finite geometries and so on. However APN functions on finite fields of odd characteristic do not satisfy desired properties. In this paper, we modify the definition of APN function in the case of odd characteristic, and study its properties.

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