Some new results on permutation polynomials of the form b(xq plus ax plus )s - ax over Fq2

This paper investigates the permutation behavior of polyno-mials in the form b(xpm +ax+delta)s -ax over Fpam by employing the Akbary-Ghioca-Wang criterion, where b is an element of F*pm, a, delta is an element of Fpam with aq +1 = 1. As a result, we present several classes of permutation polynomials of the form b(x2m + ax + delta)s + ax over F2am and three classes of permutation polynomials of the form b(xpm - x + delta)s + x over Fpam with infinitely many odd primes p. (c) 2023 Elsevier Inc. All rights reserved.