Maximal Sets of Mutually Orthogonal Latin Squares. I
Copyright policy )Maximal Sets of Mutually Orthogonal Latin Squares. I
The main result of this paper is Theorem 1 which reads as follows: Let \(p\geq 7\) be a prime. (a) If \(p\equiv 3\bmod 4\) then there exists a maximal set of \((p-3)/2\) mutually orthogonal Latin squares of order \(p\). (b) If \(p\equiv 1\bmod 4\) then there exists a maximal set of \((p-1)/2\) mutually orthogonal Latin squares of order \(p\).
- University System of Ohio United States
- Wright State University United States
orthogonal Latin squares, mutually orthogonal Latin squares, Computational Theory and Mathematics, Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure, Orthogonal arrays, Latin squares, Room squares, Geometry and Topology, Theoretical Computer Science
orthogonal Latin squares, mutually orthogonal Latin squares, Computational Theory and Mathematics, Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure, Orthogonal arrays, Latin squares, Room squares, Geometry and Topology, Theoretical Computer Science
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