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Construction of magic rectangles of odd order. (English) Zbl 1278.05034
Summary: Magic rectangles are well-known for their very interesting and entertaining combinatorics. Such magic rectangles have also been used in designing experiments. In a magic rectangle, the integers 1 to \(pq\) are arranged in an array of \(p\) rows and \(q\) columns so that each row adds to the same total \(P\) and each column to the same total \(Q\). In the present paper we provide a systematic method for constructing a \(p\) by \(q\) magic rectangle where \(p>1\) and \(q>1\) are any odd integers.

MSC:
05B15 Orthogonal arrays, Latin squares, Room squares
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