Cesmelioglu, AycaMeidl, WilfriedPott, Alexander2024-07-182024-07-1820201936-24471936-2455https://doi.org/10.1007/s12095-020-00444-0https://hdl.handle.net/11411/7249Bent functions in odd characteristic can be either (weakly) regular or non-weakly regular. Furthermore one can distinguish between dual-bent functions, which are bent functions for which the dual is bent as well, and non-dual bent functions. Whereas a weakly regular bent function always has a bent dual, a non-weakly regular bent function can be either dual-bent or non-dual-bent. The classical constructions (like quadratic bent functions, Maiorana-McFarland or partial spread) yield weakly regular bent functions, but meanwhile one knows constructions of infinite classes of non-weakly regular bent functions of both types, dual-bent and non-dual-bent. In this article we focus on vectorial bent functions in odd characteristic. We first show that mostp-ary bent monomials and binomials are actually vectorial constructions. In the second part we give a positive answer to the question if non-weakly regular bent functions can be components of a vectorial bent function. We present the first construction of vectorial bent functions of which the components are non-weakly regular but dual-bent, and the first construction of vectorial bent functions with non-dual-bent components.eninfo:eu-repo/semantics/closedAccessVectorial Bent FunctionsFinite-FieldsConstructionsBoundsArticle2-s2.0-8508799142510.1007/s12095-020-00444-09125Q189912Q3WOS:000548782000002