HIGHLY NONLINEAR (VECTORIAL) BOOLEAN FUNCTIONS THAT ARE SYMMETRIC UNDER SOME PERMUTATIONS

OpenAlex · İngilizce

We first give a brief survey of the results on highly nonlinear single-output Boolean functions and bijective S-boxes that are symmetric under some permutations. After that, we perform a heuristic search for the symmetric (and involution) S-boxes which are bijective in dimension 8 and identify corresponding permutations yielding rich classes in terms of cryptographically desirable properties.