Maximal differential uniformity polynomials

2017/08/06 by Aubry, Yves, Herbaut, Fabien, Voloch, Jose Felipe
#11T71 #14G50 #94A60 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1708.01940

Abstract

We provide an explicit infinite family of integers m such that all the polynomials of \mathbb F_2ⁿ[x] of degree m have maximal differential uniformity for n large enough. We also prove a conjecture of the third author in these cases.

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