Classification of difference matrices over cyclic groups

被引：6
|
作者：
Lampio, Pekka H. J. [1 ]
Ostergard, Patric R. J. [1 ,2 ]
机构：
[1] Aalto Univ, Dept Commun & Networking, Aalto 00076, Finland
[2] Univ Bayreuth, Lehrstuhl Math 2, D-95440 Bayreuth, Germany
来源：
JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2011年 / 141卷 / 03期
基金：
芬兰科学院;
关键词：
Classification; Difference matrix; Generalized Hadamard matrix; GENERALIZED HADAMARD-MATRICES; RESOLVABLE TRANSVERSAL DESIGNS; SQUARES;
D O I：
10.1016/j.jspi.2010.09.023
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
The existence of difference matrices over small cyclic groups is investigated in this computer-aided work. The maximum values of the parameters for which difference matrices exist as well as the number of inequivalent difference matrices in each case is determined up to the computational limit. Several new difference matrices have been found in this manner. The maximum number of rows is 9 for an r x 15 difference matrix over Z(3), 8 for an r x 15 difference matrix over Z(5), and 6 for an r x 12 difference matrix over 4; the number of inequivalent matrices with these parameters is 5, 2, and 7, respectively. (C) 2010 Elsevier B.V. All rights reserved.
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页码：1194 / 1207
页数：14
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