Niho bent functions and ovals in small dimensions

Abstract

We consider Niho bent functions in small dimensions. They are in one-to-one correspondence with ovals in the projective plane PG(2, q), q=2^m. Niho bent functions and ovals are listed up to equivalency for dimensions m ≤ 6. They are described by means of g-functions. We also give characterization of supports of Niho bent functions and their duals in terms of associated ovals.