Permutation Polynomials Under Multiplicative-Additive Perturbations: Characterization via Difference Distribution Tables

Ranit Dutta, Pantelimon Stanica, Bimal Mandal

We investigate permutation polynomials F over finite fields F_{p^n} whose generalized derivative maps x -> F(x + a) - cF(x) are themselves permutations for all nonzero shifts a. Th…