A note on non-splitting Z-bent functions

摘要

In this note, we find constructions of non-splitting Z-bent functions, thus solving an open problem of Dobbertin and Leander (2008) [4]. Under some technical conditions, we also construct Z-bent functions of level r + 1 that are not splitting into Z-bent functions of level r >= 0. (C) 2017 Elsevier B.V. All rights reserved.