On a class of permutation polynomials and their inverses

Abstract

We introduce a class of permutation polynomial over Fqn that can be written in the form L(x)xq+1 or L(xq+1)x for some q-linear polynomial L over Fqn. Specifically, we present those permutation polynomials explicitly as well as their inverses. In addition, more permutation polynomials can be derived in a more general form.