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Existence of r-self-orthogonal Latin squares
Discrete Mathematics ( IF 0.7 ) Pub Date : 2006-01-01 , DOI: 10.1016/j.disc.2005.11.012
Yunqing Xu , Yanxun Chang

Two Latin squares of order v are r-orthogonal if their superposition produces exactly r distinct ordered pairs. If the second square is the transpose of the first one, we say that the first square is r-self-orthogonal, denoted by r-SOLS(v). It has been proved that for any integer v>=28, there exists an r-SOLS(v) if and only if v=

中文翻译:

r-自正交拉丁方阵的存在

如果两个 v 阶拉丁方的叠加正好产生 r 个不同的有序对,则它们是 r 正交的。如果第二个正方形是第一个正方形的转置,我们说第一个正方形是 r-自正交,用 r-SOLS(v) 表示。已经证明,对于任意整数 v>=28,存在 r-SOLS(v) 当且仅当 v=
更新日期:2006-01-01
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