摘要

In this paper, a strongly symmetric self-orthogonal diagonal Latin square of order n with a special property (*SSSODLS(n)) is introduced. It is proved that a *SSSODLS(n) exists if and only if n (mod 4) and n not equal 4. As an application, it is shown that there exists a Yang Hui type magic square YMS(n, 4) if and only if n (mod 4) and n not equal 4.