发表机构
University of Bergen（卑尔根大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出两个与向量对偶Bent函数相关的正规Bent划分的一般构造，涵盖已知特例并产生大量新划分，同时证明相关Bent函数的性质。
AI 中文摘要
Bent划分作为Bent函数的部分扩散构造的推广被引入，并成为近期研究热点。本文证明了与向量对偶Bent函数相关的正规Bent划分的两个一般构造。它们涵盖了许多当前已知的此类Bent划分作为特例。这些构造还提供了大量新的Bent划分。证明了从这些划分中得到的Bent函数的相关性质。
英文摘要
Bent partitions were introduced as a generalization of partial spread construction of bent functions and they became a hot research topic recently. In this paper, we prove two general constructions of normal bent partitions that are related to vectorial dual-bent functions. They cover many of the currently known bent partitions of this type as partial cases. These constructions also provide a large number of new bent partitions. Relevant properties of bent functions obtained from such partitions are proven.
