Welcome to the resource topic for 2020/557
Title:
On the sensitivity of some APN permutations to swapping points
Authors: Lilya Budaghyan, Nikolay Kaleyski, Constanza Riera, Pantelimon Stanica
Abstract:We define a set called the pAPN-spectrum of an (n,n)-function F, which measures how close F is to being an APN function, and investigate how the size of the pAPN-spectrum changes when two of the outputs of a given F are swapped. We completely characterize the behavior of the pAPN-spectrum under swapping outputs when F(x) = x^{2^n-2} is the inverse function over \mathbb{F}_{2^n}. We also investigate this behavior for functions from the Gold and Welch monomial APN families, and experimentally determine the size of the pAPN-spectrum after swapping outputs for representatives from all infinite monomial APN families up to dimension n = 10.
ePrint: https://eprint.iacr.org/2020/557
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