{
  "abstract": "We determine the maximum rank of $4\\times 4\\times 4$ and $k\\times 4\\times 3$ multidimensional arrays over the finite field $\\mathbb{F}_2$. These results are made possible by a new method of enumerating non-isomorphic tensors.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.05648",
  "author_total": 1,
  "authors": [
    {
      "name": "Jason Yang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1jfjd6m181etf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.05648",
  "fulltext_url": null,
  "id": "1jfjd6m181etf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.05648",
  "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.SC"
    ],
    [
      "arxiv",
      "math.CO"
    ],
    [
      "openalex",
      "2605|Tensor decomposition and applications"
    ]
  ],
  "openalex": "W7212005928",
  "pdf_url": "https://arxiv.org/pdf/2609.05648",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1jfjd6m181etf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2609.05648",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.05648"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Maximal rank of $4\\times 4\\times 4$ and $k\\times 4\\times 3$ tensors over $\\mathbb{F}_2$",
  "title_text": "Maximal rank of 4× 4× 4 and k× 4× 3 tensors over 𝔽_2",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/1jfjd6m181etf",
  "venue": "arXiv",
  "versions": []
}