Recently, several interesting constructions of vectorial Boolean functions with the maximum number of bent components (MNBC functions, for short) were proposed. However, many of them have component functions from the completed Maiorana-McFarland class \({\mathcal {M}}^{\#}\). Moreover, no examples of MNBC functions containing component functions provably outside \({\mathcal {M}}^{\#}\) are known. In this paper, we classify all MNBC functions in six variables. Based on the analysis of the obtained equivalence classes, we propose several infinite families of MNBC functions with component functions outside the \({\mathcal {M}}^{\#}\) class. In particular, two of our new constructions are solutions to the open problem [Bapić et al (eds) Proceedings of the twelfth international workshop on coding and cryptography, 2022, Item 1., p. 9].

最近，提出了几个有趣的具有最大弯曲分量数的矢量布尔函数（简称 MNBC 函数）的结构。但是，其中许多具有来自已完成的 Maiorana-McFarland 类\({\mathcal {M}}^{\#}\) 的组件函数。此外，没有已知包含可证明在\({\mathcal {M}}^{\#}\)之外的组件函数的 MNBC 函数的示例。在本文中，我们将所有 MNBC 函数分类为六个变量。基于对获得的等价类的分析，我们提出了几个 MNBC 函数的无限族，其组件函数在\({\mathcal {M}}^{\#}\)班级。特别是，我们的两个新结构是开放问题的解决方案 [Bapić et al (eds) 第十二届编码和密码学国际研讨会论文集，2022，项目 1.，p. 9].