{
  "abstract": "Understanding the limits of list-decodability of Reed-Solomon codes has been one of the most important open problems in algebraic coding theory. Recently, Brakensiek, Chen, Putterman, Zhang, and Zheng, in a remarkable breakthrough, showed that Reed-Solomon (RS) codes over fields of large characteristic are algorithmically list-decodable all the way up to capacity. Building on this result, Jeronimo subsequently extended these techniques to solve the proximity-gaps question for RS codes. In this article, we give a unified and transparent exposition of these results.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.08610",
  "author_total": 3,
  "authors": [
    {
      "name": "Prahladh Harsha"
    },
    {
      "name": "Mrinal Kumar"
    },
    {
      "name": "Ramprasad Saptharishi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7k1674sdb1jac.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.08610",
  "fulltext_url": null,
  "id": "7k1674sdb1jac",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.08610",
  "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.CC"
    ],
    [
      "arxiv",
      "cs.IT"
    ],
    [
      "arxiv",
      "math.IT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.08610",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7k1674sdb1jac.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:26Z",
      "native_id": "2610.08610",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.08610"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    }
  ],
  "title": "Reed-Solomon Codes at Capacity: Algorithmic List-Decoding and Proximity Gaps",
  "title_text": "Reed-Solomon Codes at Capacity: Algorithmic List-Decoding and Proximity Gaps",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:26Z",
  "url": "https://research.draconitic.com/paper/7k1674sdb1jac",
  "venue": "arXiv",
  "versions": []
}