Concerning seven and eight Mutually Orthogonal Latin Squares

被引：16

作者：

Abel, RJR ^{[1
]}

Colbourn, CJ

Wojtas, M

机构：

[1] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia

[2] Arizona State Univ, Tempe, AZ 85287 USA

[3] Wroclaw Univ Technol, Inst Math, PL-50370 Wroclaw, Poland

来源：

JOURNAL OF COMBINATORIAL DESIGNS | 2004年 / 12卷 / 02期

关键词：

MOLS; difference matrix; quasi-difference matrix; transversal design;

D O I：

10.1002/jcd.10070

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, three new direct Mutually Orthogonal Latin Squares (MOLS) constructions are presented for 7 MOLS(24), 7 MOLS(75) and 8 MOLS(36); then using recursive methods, several new constructions for 7 and 8 MOLS are obtained. These reduce the largest value for which 7 MOLS are unknown from 780 to 570, and the largest odd value for which 8 MOLS are unknown from 1935 to 1419. (C) 2003 Wiley Periodicals, Inc.

引用

页码：123 / 131

页数：9

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