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arXiv · 2610.03420

General constructions of normal bent partitions related to vectorial dual-bent functions

Alexander Kholosha·Mohit Pal
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Abstract

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.

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Alexander Kholosha, Mohit Pal. 2026-10-02. General constructions of normal bent partitions related to vectorial dual-bent functions. https://arxiv.org/abs/2610.03420

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