{
  "abstract": "We determine the linear-equivalence classes within the two families of full weight spectrum one-orbit cyclic subspace codes. This solves the second open problem posed by Castello, Polverino and Zullo [J. Combin. Theory Ser. A 212 (2025) 106005]. For the first family, the criterion is a fractional linear transformation over $\\F_q$ followed by a power of $q$-Frobenius. For the second family, it is an affine transformation over $\\F_{q^2}$ together with a power of $q$-Frobenius. We use polynomial spaces over finite fields, the linear-isometry theorem for cyclic orbit codes, and trace duality. The arguments include parameters belonging to proper subfields of the ambient field.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.04947",
  "author_total": 2,
  "authors": [
    {
      "name": "Minjia Shi"
    },
    {
      "name": "Ferruh Ozbudak"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8cmf3t2dkwz2c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.04947",
  "fulltext_url": null,
  "id": "8cmf3t2dkwz2c",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.04947",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.GT"
    ],
    [
      "arxiv",
      "cs.IT"
    ],
    [
      "arxiv",
      "math.IT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.04947",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8cmf3t2dkwz2c.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:29Z",
      "native_id": "2611.04947",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.04947"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    }
  ],
  "title": "Linear Equivalence of Full Weight Spectrum Cyclic Orbit Codes",
  "title_text": "Linear Equivalence of Full Weight Spectrum Cyclic Orbit Codes",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/8cmf3t2dkwz2c",
  "venue": "arXiv",
  "versions": []
}