{
  "abstract": "We propose a novel low-complexity soft-aided hard-decision decoding scheme for product-like codes, termed iterative bounded-distance decoding (iBDD) with graded scaled reliability and bit-flipping (GSRF). This scheme operates on four-level quantized soft information. It incorporates a graded scaled reliability rule to assign decoding confidence to the bounded-distance decoding result, and employs a bit-flipping rule based on bit-level and component-code-level reliability. A selective re-decoding rule is designed to further facilitate the error performance while keeping the number of BDD attempts in reasonably low levels. The decoding parameter design of iBDD-GSRF is investigated for product codes and staircase codes, respectively. Simulation results on both codes verify that iBDD-GSRF achieves a gain of more than 0.4 dB over the conventional iBDD, comparable to several existing unquantized soft-aided decoders.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.21187",
  "author_total": 4,
  "authors": [
    {
      "name": "Xiaowei Wu"
    },
    {
      "name": "Min Qiu"
    },
    {
      "name": "Yueying Zhan"
    },
    {
      "name": "Lei Yang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9rmknxqm148jb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.21187",
  "fulltext_url": null,
  "id": "9rmknxqm148jb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.21187",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2610.21187",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9rmknxqm148jb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2610.21187",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.21187"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    }
  ],
  "title": "Four-Level Quantized Soft Information Aided Hard-Decision Decoder for Product-like Codes",
  "title_text": "Four-Level Quantized Soft Information Aided Hard-Decision Decoder for Product-like Codes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/9rmknxqm148jb",
  "venue": "arXiv",
  "versions": []
}