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About: Williamson conjecture     Goto   Sponge   NotDistinct   Permalink

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In combinatorial mathematics, specifically in combinatorial design theory and combinatorial matrix theory the Williamson conjecture is that Williamson matrices of order exist for all positive integers .Four symmetric and circulant matrices , , , are known as Williamson matrices if their entries are and they satisfy the relationship where is the identity matrix of order . John Williamson showed that if , , , are Williamson matrices then