Some results on complete permutation polynomials and mutually orthogonal Latin squares

Abstract

In this paper, we investigate some classes of complete permutation polynomials (CPPs) with the form (L1(x))t+L2(x) for some specific linearized polynomials L1(x) and L2(x) over finite fields. Some constructions of PPs and CPPs over finite fields using the AGW criterion are also proposed. We also obtain some constructions of sets of Mutually orthogonal Latin squares (MOLS) using permutation polynomials over finite fields.