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On the existence of three incomplete idempotent MOLS. (English) Zbl 0836.05013

Three idempotent orthogonal incomplete latin squares of order \(v\) with one hole of size \(n\) are shown to exist whenever \(v > 4n\) and \(n > 53\).

MSC:

05B15 Orthogonal arrays, Latin squares, Room squares