Permutation polynomials of the form (xp−x+δ)s+L(x)

Recently, several classes of permutation polynomials of the form (x2+x+δ)s+x over have been discovered. They are related to Kloosterman sums. In this paper, the permutation behavior of polynomials of the form (xp−x+δ)s+L(x) over is investigated, where L(x) is a linearized polynomial with coefficients in . Six classes of permutation polynomials on are derived. Three classes of permutation polynomials over are also presented