{
  "abstract": "We propose a finite BSC-decomposition method for representing an arbitrary binary-input symmetric-output channel (BISOC) as a mixture of binary symmetric channels (BSCs) with at most $\\ell+1$ distinct crossover probabilities. We show that the weighted average capacity of the component BSCs exceeds the capacity of the original BISOC by at most $(π^2\\log e)/(48\\ell^2)+O(\\ell^{-5/2})$ bits, and the leading term is asymptotically optimal in the worst case. Based on the finite BSC-decomposition, we design a channel simulation scheme for arbitrary BISOCs. Combined with efficient channel simulation algorithms for BSCs, our scheme achieves a communication rate with $O((\\log n / n)^{2/3})$ redundancy over the capacity for simulating $n$ copies of a BISOC.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.25794",
  "author_total": 2,
  "authors": [
    {
      "name": "Jianguo Zhao"
    },
    {
      "name": "Cheuk Ting Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8p2ejpaswpjkf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.25794",
  "fulltext_url": null,
  "id": "8p2ejpaswpjkf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.25794",
  "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"
    ],
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      "openalex",
      "1705|Error Correcting Code Techniques"
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  "openalex": "W7222999562",
  "pdf_url": "https://arxiv.org/pdf/2610.25794",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8p2ejpaswpjkf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.25794",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.25794"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    }
  ],
  "title": "Finite BSC-Decomposition of Binary-Input Symmetric-Output Channels and Applications to Channel Simulation",
  "title_text": "Finite BSC-Decomposition of Binary-Input Symmetric-Output Channels and Applications to Channel Simulation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/8p2ejpaswpjkf",
  "venue": "arXiv",
  "versions": []
}