论文信息 - Orthogonal diagonal latin squares of order fourteen

Orthogonal diagonal latin squares of order fourteen

Orthogonal diagonal latin squares of order n, ODLS(n) , are orthogonal latin squares of order n with transversals on both the main diagonal and the back diagonal of each square. It has been proven that ODLS(n) exist for all n except n = 2, 3, 6, 10, 14, 15, 18 and 26, in which the first three are impossible. In this note an example of ODLS (14) is given.

L. Zhu

[1] W. D. Wallis,et al. Some new Orthogonal diagonal latin squares , 1983 .

[2] Anthony J. W. Hilton,et al. Doubly diagonal orthogonal latin squares , 1983, Discret. Math..

[3] J. Dénes,et al. Latin squares and their applications , 1974 .