Maximal differential uniformity polynomials
Volume 188 / 2019
Acta Arithmetica 188 (2019), 345-366
MSC: Primary 11T06; Secondary 11T71, 14G50.
DOI: 10.4064/aa170806-11-7
Published online: 8 April 2019
Abstract
We provide explicit infinite families of integers $m$ such that all the polynomials of ${\mathbb F}_{2^n}[x]$ of degree $m$ have maximal differential uniformity for $n$ large enough. We also prove a conjecture of the third author for these families.
