Some results on complete permutation polynomials and mutually orthogonal Latin squares

In this paper, we investigate some classes of complete permu-tation 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 ob-tain some constructions of sets of Mutually orthogonal Latin squares (MOLS) using permutation polynomials over finite fields.(c) 2023 Elsevier Inc. All rights reserved.