{
  "abstract": "Secure convertible codes, introduced by Zhang and Rashmi, achieve secrecy capacity under a passive eavesdropper model in which an eavesdropper is allowed to access any $\\ell$ symbols from the initial and final codewords. In this paper, we construct two families of access-optimal secure convertible codes. The first family of codes based on Maximum Rank Distance (MRD) codes is constructed for all parameters in the merge and split regimes and requires a large field size. The second family of codes, constructed using Generalized Reed-Solomon codes, uses smaller fields but is applicable only for certain parameters in the merge and split regimes.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.34863",
  "author_total": 3,
  "authors": [
    {
      "name": "Manasa Suresh B P"
    },
    {
      "name": "Vinayak Ramkumar"
    },
    {
      "name": "Myna Vajha"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b32fncv6sjjzz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.34863",
  "fulltext_url": null,
  "id": "b32fncv6sjjzz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.34863",
  "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.IT"
    ],
    [
      "arxiv",
      "math.IT"
    ],
    [
      "openalex",
      "1702|Coding theory and cryptography"
    ]
  ],
  "openalex": "W7224016345",
  "pdf_url": "https://arxiv.org/pdf/2610.34863",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b32fncv6sjjzz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.34863",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.34863"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    }
  ],
  "title": "Constructions of Secure Convertible Codes",
  "title_text": "Constructions of Secure Convertible Codes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/b32fncv6sjjzz",
  "venue": "arXiv",
  "versions": []
}