Completed Maiorana–McFarland class

Constructions of (vectorial) bent functions outside the completed Maiorana–McFarland class

Two new classes of bent functions derived from the Maiorana–McFarland ($\\mathcal{M}$) class, so-called $\\mathcal{C}$ and $\\mathcal{D}$, were introduced by Carlet (1993) almost three decades ago. In Zhang (2020) sufficient conditions for specifying …

Constructing new superclasses of bent functions from known ones

Some recent research articles (Zhang et al. in Lecture Notes in Computer Science, 10194, 298-313. (2017), Zhang et al. in Discret. Appl. Math. 285(1), 458-472. (2020)) addressed an explicit specification of indicators that specify bent functions in …

Vectorial bent functions weakly/strongly outside the completed Maiorana–McFarland class

Two new classes of bent functions derived from the Maiorana–McFarland ($\\mathcal{M}$) class, so-called $\\mathcal{C}$ and $\\mathcal{D}$, were introduced by Carlet (1994) two decades ago. The difficulty of satisfying their defining conditions was …