Permutation polynomials of the form xd + L(xs) over [formula omitted

Abstract

In this paper, permutation polynomials of the form xd+L(xs) over finite fields Fq3 are investigated, where q=2m and m is a positive integer. By means of the iterative method, the multivariate method and the resultant elimination, six classes of permutation trinomials are obtained from certain integers d, s and linearized polynomials L(x). It is also showed that the permutations proposed in this paper are quasi-multiplicative inequivalent to all known permutation trinomials over Fq3.