OpenAI reports the circulant Hadamard classification

A real circulant Hadamard matrix of positive order n exists exactly when n=1 or n=4.

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Understand the problem ↓

Understanding the problem

Read the background

A real circulant Hadamard matrix of positive order n exists exactly when n=1 or n=4.

Why it matters

If correct, settles the circulant Hadamard conjecture and the remaining even-length obstruction for Barker sequences.

What counts as progress

Can a real circulant Hadamard matrix exist at any order besides one or four?

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