Some classes of permutation polynomials of the form b(xq+ax+δ)i(q2-1)d+1+c(xq+ax+δ)j(q2-1)d+1+L(x) over Fq2.

Let q be a prime power and F q be a finite field with q elements. In this paper, we employ the AGW criterion to investigate the permutation behavior of some polynomials of the form b (x q + a x + δ) 1 + i (q 2 - 1) d + c (x q + a x + δ) 1 + j (q 2 - 1) d + L (x) over F q 2 with a 1 + q = 1 , q ≡ ± 1 (mod d) and L (x) = - a x or x q - a x. Accordingly, we also present the permutation polynomials of the form b (x q + a x + δ) s - a x by letting c = 0 and choosing some special exponent s, which generalize some known results on permutation polynomials of this form. [ABSTRACT FROM AUTHOR]