John D. Cook 8/17/2026

Proportion of 1s in a Hadamard matrix

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The first post in the recent series of posts on Hadamard matrices describes a way of constructing new Hadamard matrices from two other Hadamard matrices by taking their Kronecker product. Starting with a Hadamard matrix H0 and a Hadamard matrix G, you can construct a sequence of Hadamard matrices by Hn+1 = G ⊗ Hn for positive integers n. This is known as the generalized Sylvester method. Let pn be

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Proportion of 1s in a Hadamard matrix

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