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A Twelve-Weight Parity Law for Binary Matrices with Vanishing Adjacent Minors
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October 01, 2026 19:21
A Twelve-Weight Parity Law for Binary Matrices with Vanishing Adjacent Minors
Consider binary \(3\times n\) matrices whose adjacent \(2\times2\) minors vanish and whose neighboring columns differ. When \(n=2^{t+1}+1\) with \(t\ge2\), the number of such matrices is odd at exactly twelve weights. …
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