Some classes of power functions with low c-differential uniformity over finite fields

Abstract

Functions with low c-differential uniformity have optimal resistance to some types of differential cryptanalysis. In this paper, we investigate the c-differential uniformity of power functions over finite fields. Based on some known almost perfect nonlinear functions, we present several classes of power functions f(x)=xd with cf≤3. Especially, two new classes of perfect c-nonlinear power functions are proposed.

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