{
  "abstract": "In this paper, we focus on decoding optimal Reed-Solomon codes of dimension two for insdel errors up to the half-Singleton bound. We present a decoding algorithm for the general insertion-and-deletion scenario with a time complexity smaller than brute-force decoding. Our algorithm corrects insdel errors up to the half-Singleton bound, which exceeds the scope of existing methods. Additionally, for the special cases of insertion-only and deletion-only insdel error patterns, we present two different algorithms with a time complexity smaller than our general algorithm.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.15413",
  "author_total": 3,
  "authors": [
    {
      "name": "Bencheng Fan"
    },
    {
      "name": "Margreta Kuijper"
    },
    {
      "name": "Jingge Zhu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4cnv1eydg94ks.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.15413",
  "fulltext_url": null,
  "id": "4cnv1eydg94ks",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.15413",
  "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.IT"
    ],
    [
      "openalex",
      "1702|Coding theory and cryptography"
    ]
  ],
  "openalex": "W7221788480",
  "pdf_url": "https://arxiv.org/pdf/2610.15413",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4cnv1eydg94ks.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2610.15413",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.15413"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    }
  ],
  "title": "Insdel Reed-Solomon Decoding Algorithms up to the Half-Singleton Bound",
  "title_text": "Insdel Reed-Solomon Decoding Algorithms up to the Half-Singleton Bound",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/4cnv1eydg94ks",
  "venue": "arXiv",
  "versions": []
}