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Some new classes of (almost) perfect $c$-nonlinear permutations (2208.01004v1)
Published 1 Aug 2022 in cs.IT, math.CO, and math.IT
Abstract: The concept of differential uniformity was recently extended to the $c$-differential uniformity. An interesting problem in this area is the construction of functions with low $c$-differential uniformity and a lot of research has been done in this direction in the recent past. Here, we present three classes of (almost) perfect $c$-nonlinear permutations over finite fields of even characteristic.