On the Spectrum of Mutually r-orthogonal Idempotent Latin Squares

被引：0
|
作者：
Xu, Yun-qing [1 ]
机构：
[1] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
来源：
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2015年 / 31卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Latin square; r-orthogonal; idempotent;
D O I：
10.1007/s10255-015-0507-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Two Latin squares of order v are r-orthogonal if their superposition produces exactly r distinct ordered pairs. The two squares are said to be r-orthogonal idempotent Latin squares and denoted by r-MOILS(v) if they are all idempotent. In this paper, we show that for any integer v >= 28, there exists an r-MOILS(v) if and only if r is an element of [v, v(2)] \ {v + 1, v(2) - 1}.
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页码：813 / 822
页数：10
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