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

作者：Zhang Yong; Chen Kejun^*; Cao Nanyuan; Zhang Hantao

来源：Discrete Mathematics, 2014, 328: 79-87.

DOI：10.1016/j.disc.2014.04.002

• Self-orthogonal Latin square
• Strongly symmetric
• Magic square
• Yang Hui type

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.

• 出版日期2014-8-6
• 单位盐城师范学院