A note on mutually orthogonal latin squares

Shrikhande, S. S. (1961) A note on mutually orthogonal latin squares Sankhya, 23 (A 2). pp. 115-116. ISSN 0972-7671

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It is proved that the existence of a set of $(n-3)$ Mutually Orthogonal Latin Squares (MOLS) of order $n$ implies the existence of a complete set of $(n-1)$ such squares and hence the existence of a finite projective plane $PG(2, n)$.

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