New secondary constructions of differentially 4-uniform permutations over
Jie Peng, Chik How Tan, Qichun Wang · International Journal of Computer Mathematics · 2016
In this paper, we generalize the switching method and present a method to construct new differentially 4-uniform permutations from two known ones by determining the corresponding cycle sets. As for applications, by determining all the cycle sets of (x+1)−1+1 and (x+1)−1+ω related to the inverse functions, respectively, we present two efficient constructions of differentially 4-uniform permutations. Moreover, it has been checked by the Magma software for small n that, both constructions give many new Carlet–Charpin–Zinoviev (CCZ)-inequivalent classes of functions that are not CCZ-equivalent to the known functions.