New P$c$N and AP$c$N functions over finite fields

Yanan Wu; Nian Li; Xiangyong Zeng

New P$c$N and AP$c$N functions over finite fields

Information Theory 2020-10-13 v1 math.IT

Authors: Yanan Wu , Nian Li , Xiangyong Zeng

Abstract

Functions with low $c$ -differential uniformity were proposed in $2020$ and attracted lots of attention, especially the P $c$ N and AP $c$ N functions, due to their applications in cryptography. The objective of this paper is to study P $c$ N and AP $c$ N functions. As a consequence, we propose a class of P $c$ N functions and four classes of AP $c$ N functions by using the cyclotomic technique and the switch method. In addition, four classes of P $c$ N or AP $c$ N functions are presented by virtue of (generalized) AGW criterion.

Keywords

p$c$n functions ap$c$n functions finite fields cyclotomic technique switch method agw criterion cryptography

Cite

@article{arxiv.2010.05396,
  title  = {New P$c$N and AP$c$N functions over finite fields},
  author = {Yanan Wu and Nian Li and Xiangyong Zeng},
  journal= {arXiv preprint arXiv:2010.05396},
  year   = {2020}
}

Comments

21 pages

Related papers

View all related →