Non-linear S-box of Nyberg construction with maximal avalanche effect

Михаил Иванович Мазурков, Артем Викторович Соколов · Radioelectronics and Communications Systems · 2014

The full class of irreducible polynomials f ( z ) of eight degree over all isomorphic representations of Galois field GF (256) is constructed. The set of optimal pairs { f ( z ), A }, where A is nonsingular affine transformation matrix is founded which allowed to increase significantly amount of Nyberg construction S -boxes, giving maximum avalanche effect.

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