Experimental designs and combinatorial systems associated with Latin squares and sets of mutually orthogonal Latin squares

Abstract

In this expository paper we have demonstrated the importance of the theory of Latin squares and mutually orthogonal Latin squares in the field of design of experiments and combinatorial analysis. It is shown that many well-known and important designs and/or combinatorial systems are either equivalent or can be derived from Latin squares or a set of mutually orthogonal Latin squares.