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

共 16 条

[1]

[Anonymous], 1985, DESIGN THEORY

[2]

[Anonymous], 1957, T AM MATH SOC

[3]

BENNETT FE, 1985, ARS COMBINATORIA, V20A, P193

[4]

BENNETT FE, 1989, ARS COMBINATORIA, V28, P203

[5]

BENNETT FE, 1988, ARS COMBINATORIA, V26B, P5

[6]

Bennett FE, 1997, J COMB DES, V5, P449, DOI 10.1002/(SICI)1520-6610(1997)5:6<449::AID-JCD6>3.0.CO

[7]

2-F

[8]

BENNETT FE, 1992, CONT DESIGN THEORY C, P41

[9]

BENNETT FE, 1998, JCMCC, V27, P53

[10]

Colbourn C. J., 1996, The CRC handbook of combinatorial designs

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