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A partial generalization of Mann’s theorem concerning orthogonal Latin squares. (English) Zbl 0669.05012

From the authors’ abstract: “Let \(n=4t+2\), where the integer \(t\geq 2\). A necessary condition is given for a particular Latin square L of order n to have a complete set of n-2 mutually orthogonal Latin squares, each orthogonal to L. This condition extends constraints due to Mann concerning the existence of a Latin square orthogonal to a given Latin square.”
Reviewer: Jennifer Seberry

MSC:

05B15 Orthogonal arrays, Latin squares, Room squares
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