English

Maximal differential uniformity polynomials

Number Theory 2018-07-12 v2

Abstract

We provide an explicit infinite family of integers mm such that all the polynomials of F2n[x]{\mathbb F}_{2^n}[x] of degree mm have maximal differential uniformity for nn large enough. We also prove a conjecture of the third author in these cases.

Keywords

Cite

@article{arxiv.1708.01940,
  title  = {Maximal differential uniformity polynomials},
  author = {Yves Aubry and Fabien Herbaut and Jose Felipe Voloch},
  journal= {arXiv preprint arXiv:1708.01940},
  year   = {2018}
}
R2 v1 2026-06-22T21:08:06.781Z