Two New Classes of Bent Functions

Abstract

We introduce a new class of bent functions on (GF(2))n (n even). We prove that this class is not included in one of the known classes of bent functions, and that, when n equals 6, it covers the whole set of bent functions of degree 3. This class is obtained by using a result from J.F. Dillon. We generalize this result and deduce a second new class of bent functions which we checked was not included in one of the preceding ones.