An attempt for construction of a triple of pairwuse mutually orthogonal latin squares on 10 elements


Dragan M. Acketa, Snežana Matić-Kekić




A well-motivated attempt is made to construct a triple of mutually dual latin squares of order 10 by using resolvable Mendelsohn triple systems. Two different representations of resolvable Mendelsohn triple systems are considered. The first one is analogous to the representation used for constructing pairs of mutually dual latin squares of order 10 in [3] and [4]. Our conclusion is that the approach used here does not give the required triple.