The excess of a hadamard matrix

Let σ(n) be the greatest possible sum of the entries of a Hadamard matrix of order n. We derive n22−n(n12n) ⩽ σ(n) ⩽ nvn, which implies nv(n2) ⩽ σ(n) ⩽ nvn. Besides, σ(n) is evaluated for n ⩽ 24 and several other values of n.

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