Problem
Research questions and friction points this paper is trying to address.
tensor rank
finite field
multidimensional arrays
Maximal rank of $4\times 4\times 4$ and $k\times 4\times 3$ tensors over $\mathbb{F}_2$
📝 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.
Innovation
Methods, ideas, or system contributions that make the work stand out.
non-isomorphic tensors
finite field \\mathbb{F}_2
enumeration method
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