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}.

引用

页码：813 / 822

页数：10

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