{
  "abstract": "For every fixed genus $g\\geq2$ and every $0<ρ<1$, we construct maximum distance separable (MDS) algebraic geometry codes over $\\F_q$ for all sufficiently large odd squares $q$. Their parameters are $\\bigl[n,\\lfloorρn\\rfloor,n-\\lfloorρn\\rfloor+1\\bigr]_q$ with $n=\\sqrt q+1+O_g(q^{1/4})$. The codes use full Riemann--Roch spaces on genus-$g$ hyperelliptic curves. They are not monomially equivalent to generalized Reed--Solomon (GRS) codes when $q$ is sufficiently large. An infinite subfamily has exact length $n=\\sqrt q+2gq^{1/4}+1$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.01546",
  "author_total": 2,
  "authors": [
    {
      "name": "Chuangqiang Hu"
    },
    {
      "name": "Guorui Ma"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/39acbjnmbf771.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.01546",
  "fulltext_url": null,
  "id": "39acbjnmbf771",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.01546",
  "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.IT"
    ],
    [
      "arxiv",
      "math.AG"
    ],
    [
      "arxiv",
      "math.IT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.01546",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/39acbjnmbf771.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.01546",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.01546"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "MDS Algebraic Geometry Codes of Square-Root Length on Hyperelliptic Curves",
  "title_text": "MDS Algebraic Geometry Codes of Square-Root Length on Hyperelliptic Curves",
  "type": "preprint",
  "updated_at": "2026-11-04T15:21:05Z",
  "url": "https://research.draconitic.com/paper/39acbjnmbf771",
  "venue": "arXiv",
  "versions": []
}