{
  "abstract": "Various types of recovery algorithms for batch codes have been considered previously, including asynchronous recovery and recovery algorithms arising from Almost Affinely Disjoint (AAD) families. We initiate a systematic investigation of linear batch codes equipped with recovery algorithms. We introduce online and strongly online batch codes, investigate their relations with asynchronous batch codes, and introduce (m,L)-strongly online batch codes, which provide particularly simple recovery algorithms. We then study simple batch codes associated with arbitrary bipartite graphs, obtaining graph-theoretic conditions for such codes and generalizing several known results.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.09748",
  "author_total": 5,
  "authors": [
    {
      "name": "Baran Düzgün"
    },
    {
      "name": "Henk D. L. Hollmann"
    },
    {
      "name": "Ago-Erik Riet"
    },
    {
      "name": "Vitaly Skachek"
    },
    {
      "name": "Vladislav Taranchuk"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ee5n9vnw0mjmq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.09748",
  "fulltext_url": null,
  "id": "ee5n9vnw0mjmq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.09748",
  "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": "W7160944912",
  "pdf_url": "https://arxiv.org/pdf/2605.09748",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ee5n9vnw0mjmq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2605.09748",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.09748"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    }
  ],
  "title": "Recovery Models for Linear Batch Codes",
  "title_text": "Recovery Models for Linear Batch Codes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/ee5n9vnw0mjmq",
  "venue": "arXiv",
  "versions": []
}