On sets determining the differential spectrum of mappings
by Pascale Charpin; Gohar M. Kyureghyan
International Journal of Information and Coding Theory (IJICOT), Vol. 4, No. 2/3, 2017

Abstract: In this paper, we study computational aspects for determining the differential uniformity of mappings on finite fields of characteristic 2. In particular, we show: (1) A mapping has differential uniformity 2 (i.e. it is almost perfect non-linear) if and only if its difference mappings defined by the elements of a fixed hyperplane are 2-to-1. (2) For a large family of mappings of a special shape, it is enough to consider difference mappings defined by the elements from a suitable multiplicative subgroup.

Online publication date: Mon, 24-Apr-2017

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