Existence of (3,1,2)-conjugate orthogonal diagonal Latin squares

被引：3

作者：

Bennett, FE

Du, BL

Zhang, HT

机构：

[1] Mt St Vincent Univ, Dept Math, Halifax, NS B3M 2J6, Canada

[2] Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China

[3] Univ Iowa, Dept Comp Sci, Iowa City, IA 52242 USA

来源：

JOURNAL OF COMBINATORIAL DESIGNS | 2001年 / 9卷 / 04期

关键词：

conjugate-orthogonal; diagonal Latin square;

D O I：

10.1002/jcd.1013.abs

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We shall refer to a diagonal Latin square which is orthogonal to its (3,1,2)conjugate, and the latter is also a diagonal Latin square, as a (3, 1,2)-conjugate orthogonal diagonal Latin square, briefly COP)LS, This article investigates the spectrum of CODLS and it is found that it contains all positive integers v except 2, 3, 6, and possibly 10. (C) 2001 John Wiley & Sons, Inc.

引用

页码：297 / 308

页数：12