Maximal rank of $4\times 4\times 4$ and $k\times 4\times 3$ tensors over $\mathbb{F}_2$

Jason Yang

Source record

Source: arXiv

Published: Sep 4, 2026

arXiv: 2609.05648

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Source 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.

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