Two classes of permutation trinomials with Niho exponents over finite fields with even characteristic

In this paper, we consider two classes of permutation trinomials with Niho-type exponents over the finite field F 2...
Ausführliche Beschreibung

In this paper, we consider two classes of permutation trinomials with Niho-type exponents over the finite field F 2 2 m . Some sufficient conditions are obtained to characterize the coefficients of the permutation trinomials. Our numerical result suggests that those sufficient conditions for one class are also necessary. Ausführliche Beschreibung