Strongly symmetric self-orthogonal diagonal Latin squares and Yang Hui type magic squares.

Abstract: In this paper, a strongly symmetric self-orthogonal diagonal Latin square of order with a special property ( SSSODLS( )) is introduced. It is proved that a SSSODLS( ) exists if and only if and . As an application, it is shown that there exists a Yang Hui type magic square YMS if and only if and . [Copyright &y& Elsevier]