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PreprintCC BY 4.0arXiv

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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Cite

BibTeXRIS
BibTeX
@misc{kholosha2026general,
  title = {{General constructions of normal bent partitions related to vectorial dual-bent functions}},
  author = {Alexander Kholosha and Mohit Pal},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.03420},
  eprint = {2610.03420},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.03420},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - General constructions of normal bent partitions related to vectorial dual-bent functions
AU  - Alexander Kholosha
AU  - Mohit Pal
PY  - 2026
DA  - 2026/10/02
PB  - arXiv
DO  - 10.48550/arxiv.2610.03420
UR  - https://arxiv.org/abs/2610.03420
AB  - 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.
ER  -