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

08/27/2020

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by   Zhengbang Zha, et al.

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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)=x^d with _cΔ_f≤3. Especially, two new classes of perfect c-nonlinear power functions are proposed.