{
  "abstract": "We use $m$-dimensional partial spreads of $\\fp^{2n}$, where $p$ is an odd prime, $n$ is a positive integer and $m$ divides $n$, to construct two classes of bent functions from $\\fp^{2n}$ to $\\fp$. Our construction generalizes the classes of $p$-ary $\\cPS^{-}$ and $\\cPS^{+}$ bent functions proposed by P. Lison\\v ek and H. Y. Lu (Des. Codes Cryptogr. 73 (2014), 209--216).",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.18318",
  "author_total": 2,
  "authors": [
    {
      "name": "Alexander Kholosha"
    },
    {
      "name": "Mohit Pal"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/feyktjk23kmk4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.18318",
  "fulltext_url": null,
  "id": "feyktjk23kmk4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.18318",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.DM"
    ],
    [
      "arxiv",
      "cs.IT"
    ],
    [
      "arxiv",
      "math.IT"
    ],
    [
      "openalex",
      "1702|Coding theory and cryptography"
    ]
  ],
  "openalex": "W7213513094",
  "pdf_url": "https://arxiv.org/pdf/2609.18318",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/feyktjk23kmk4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:04Z",
      "native_id": "2609.18318",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.18318"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    }
  ],
  "title": "Generalized $p$-ary $\\cPS$ Bent Functions",
  "title_text": "Generalized p-ary cPS Bent Functions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:04Z",
  "url": "https://research.draconitic.com/paper/feyktjk23kmk4",
  "venue": "arXiv",
  "versions": []
}