Bounds on the differential uniformity of the Wan-Lidl polynomials
Number Theory
2022-11-10 v1 Information Theory
math.IT
Abstract
We study the differential uniformity of the Wan-Lidl polynomials over finite fields. A general upper bound, independent of the order of the field, is established. Additional bounds are established in settings where one of the parameters is restricted. In particular, we establish a class of permutation polynomials which have differential uniformity at most 5 over fields of order , irrespective of the field size. Computational results are also given.
Keywords
Cite
@article{arxiv.2211.04527,
title = {Bounds on the differential uniformity of the Wan-Lidl polynomials},
author = {Li-An Chen and Robert S. Coulter},
journal= {arXiv preprint arXiv:2211.04527},
year = {2022}
}