Existence of Five MOLS of Orders 18 and 60

被引：27
作者：
Abel, R. Julian R. [1 ]
机构：
[1] Univ New S Wales, Sch Math & Stat, Sydney, NSW 2052, Australia
来源：
JOURNAL OF COMBINATORIAL DESIGNS | 2015年 / 23卷 / 04期
关键词：
difference matrix; MOLS; orthogonal array; ORTHOGONAL LATIN SQUARES;
D O I：
10.1002/jcd.21384
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we provide direct constructions for five mutually orthogonal Latin squares (MOLS) of orders v = 18 and 60. For v = 60, these come froma new (60, 6, 1) difference matrix. For v = 18, the required construction is obtained by combining two different methods that were used in the constructions of four MOLS(14) and eight MOLS(36). (C) 2013 Wiley Periodicals, Inc.
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页码：135 / 139
页数：5
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