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Pandiagonal type-\(p\) Franklin squares. (English) Zbl 1411.05040

Summary: For prime \(p\) we define magic squares of order \(kp^3\), called type-\(p\) Franklin squares, whose properties specialize to those of classical Franklin squares in the case \(p=2\). We construct type-\(p\) Franklin squares in prime-power orders.

MSC:

05B15 Orthogonal arrays, Latin squares, Room squares
05A15 Exact enumeration problems, generating functions
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References:

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