Towards finding hay in a haystack: explicit tensors of border rank greater than 2.02m in C^m⊗ C^m⊗ C^m
We write down an explicit sequence of tensors in C^m⊗ C^m⊗ C^m, for all m sufficiently large, having border rank at least 2.02m, overcoming a longstanding barrier. We obtain our lower bounds via the border substitution method.
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