New links between nonlinearity and differential uniformity
Résumé
This paper establishes some new links between the nonlinearity and differential uniformity of some large classes of functions, such as power functions, differentially two-valued functions and quadratic functions. We obtain a lower bound for the nonlinearity of general differential uniform power permutations, an upper bound for general differentially two-valued functions, together with some important results for quadratic functions. In particular, we show that the quadratic differentially 4-uniform permutations should be two-valued and possess the best known nonlinearity.
Origine : Fichiers produits par l'(les) auteur(s)
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