{
  "abstract": "Low-power error-correcting cooling (LPECC) codes and constant-power error-correcting cooling (CPECC) codes provide error correction while controlling power consumption and thermal effects in on-chip buses. In this paper, we study binary CPECC and LPECC codes with \\(e=w-3\\). For CPECC codes, we extend the applicability of the upper bound previously obtained by Zhao and Zhang from the quadratic-order condition \\(w\\ge 2t(t+1)+2\\) to \\(w\\ge w_0(t)\\), where \\(w_0(t)\\sim \\sqrt{2}\\,t^{3/2}\\). Using Steiner systems, we show that the CPECC bound is attainable and asymptotically tight for fixed \\(t,w\\). For LPECC codes, we establish the new upper bound \\(\\left\\lfloor\\frac{\\binom{n+2}{3}}{\\binom{w+t}{3}}\\right\\rfloor\\) for \\(w\\ge μ(t)\\), where \\(μ(t)\\sim \\sqrt{2}\\,t^{3/2}\\). This bound is strictly smaller than the previous bound of Zhao and Zhang whenever both apply, and is asymptotically tight for fixed \\(t,w\\) in the stated range.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.35061",
  "author_total": 2,
  "authors": [
    {
      "name": "Tingting Tong"
    },
    {
      "name": "Sihuang Hu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d8682n84nt3an.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.35061",
  "fulltext_url": null,
  "id": "d8682n84nt3an",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.35061",
  "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.CO"
    ],
    [
      "arxiv",
      "math.IT"
    ],
    [
      "openalex",
      "1702|Coding theory and cryptography"
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  "openalex": "W7214718477",
  "pdf_url": "https://arxiv.org/pdf/2609.35061",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d8682n84nt3an.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2609.35061",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.35061"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Improved bounds for constant-power and low-power error-correcting cooling codes",
  "title_text": "Improved bounds for constant-power and low-power error-correcting cooling codes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/d8682n84nt3an",
  "venue": "arXiv",
  "versions": []
}