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A circulant matrix is a square matrix where each row has the same elements as the previous row, cyclically rotated right by one element. It is a specific kind of a square Toeplitz matrix.

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Bounds for maximum determinant of circulant matrices

I have not seen this question discussed in the literature either, but I will propose an answer here. To begin with, I think that since $n^{n/2}$ is the maximum possible absolute value that the determ …
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