Further results on permutation polynomials of the form (x(pm) - x plus delta)(s) + L(x) over F-p2m

摘要

In this paper, some classes of permutation polynomials of the form (x(pm) - x + delta)(s) + L(x) over the finite field F-p2m are investigated by determining the number of solutions of certain equations, where L(x) = x or x(pm) + x. More precisely, for an integer s satisfying s(p(m) +1) equivalent to p(m) +1 (mod p(2m) - 1), we give four classes of permutation polynomials of the form (x(2m) + x delta)(s) + x over F-22m, and five classes of permutation polynomials of the form (x(3m) - x + delta)(s) + x(3m) + x over F-32m, respectively. (C) 2016 Elsevier Inc. All rights reserved.