The maximum rank of 2 × ⋯ × 2 tensors over 𝔽2

We determine that the maximum rank of an order-n (≥2) tensor with format 2×⋯×2 over the finite field F2 is 2⋅3n/2−1 for even n, and 3⌊n/2⌋ for odd n. Since tensor rank is non-increasing upon taking...