{
  "abstract": "Let $C$ be an $[n,k]_q$ maximum distance separable (MDS) code with $4\\le k\\le q-3$, and suppose that it has a $2$-transitive permutation automorphism group. In this paper we show that $n\\le q+1$, so the MDS conjecture holds for this class of codes.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.05292",
  "author_total": 3,
  "authors": [
    {
      "name": "Haihua Deng"
    },
    {
      "name": "Tao Feng"
    },
    {
      "name": "Andrey V. Vasil'ev"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bgxv2vt7r13ej.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.05292",
  "fulltext_url": null,
  "id": "bgxv2vt7r13ej",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.05292",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.IT"
    ],
    [
      "arxiv",
      "math.CO"
    ],
    [
      "arxiv",
      "math.GR"
    ],
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      "arxiv",
      "math.IT"
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      "openalex",
      "1702|Coding theory and cryptography"
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  "openalex": "W7211917399",
  "pdf_url": "https://arxiv.org/pdf/2609.05292",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bgxv2vt7r13ej.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:18Z",
      "native_id": "2609.05292",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.05292"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "On the lengths of MDS codes with a two-transitive permutation automorphism group",
  "title_text": "On the lengths of MDS codes with a two-transitive permutation automorphism group",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:18Z",
  "url": "https://research.draconitic.com/paper/bgxv2vt7r13ej",
  "venue": "arXiv",
  "versions": []
}