Maximal sets of mutually orthogonal Latin squares. II (Q1199771)

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 \(p\).