On inverses of some permutation polynomials over finite fields of characteristic three

摘要

By using the piecewise method, Lagrange interpolation formula and Lucas' theorem, we determine explicit expressions of the inverses of a class of reversed Dickson permutation polynomials and some classes of generalized cyclotomic mapping permutation polynomials over finite fields of characteristic three. (C) 2020 Elsevier Inc. All rights reserved.