Let q = 2 m and F q 3 be the finite field with q 3 elements. In this paper, based on the multivariate method, resultant elimination, and transforming into dealing with some equations over finite fields, we propose two classes of permutation trinomials of F q 3 . We illustrate that these two classes of permutation trinomials are QM-inequivalent to all known permutation polynomials over F q 3 . Some well-known results can be covered by our theorems.
Let q = 2 m and F q 3 be the finite field with q 3 elements. In this paper, based on the multivariate method, resultant elimination, and transformin...
