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PreprintCC BY 4.0arXiv

Maximal rank of 4× 4× 4 and k× 4× 3 tensors over 𝔽2

  • Jason Yang
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Abstract

We determine the maximum rank of 4× 4× 4 and k× 4× 3 multidimensional arrays over the finite field 𝔽2. These results are made possible by a new method of enumerating non-isomorphic tensors.

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Cite

BibTeXRIS
BibTeX
@misc{yang2026maximal,
  title = {{Maximal rank of $4\times 4\times 4$ and $k\times 4\times 3$ tensors over $\mathbbF_2$}},
  author = {Jason Yang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.05648},
  eprint = {2609.05648},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.05648},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Maximal rank of 4× 4× 4 and k× 4× 3 tensors over 𝔽_2
AU  - Jason Yang
PY  - 2026
DA  - 2026/09/04
PB  - arXiv
DO  - 10.48550/arxiv.2609.05648
UR  - https://arxiv.org/abs/2609.05648
AB  - We determine the maximum rank of 4× 4× 4 and k× 4× 3 multidimensional arrays over the finite field 𝔽_2. These results are made possible by a new method of enumerating non-isomorphic tensors.
ER  -