Hyperplane partitions and Difference Systems of Sets

被引：35
|
作者：
Fuji-Hara, Ryoh [1 ]
Munemasa, Akihiro
Tonchev, Vladimir D.
机构：
[1] Univ Tsukuba, Grad Sch Syst & Informat Engn, Tsukuba, Ibaraki 3058573, Japan
[2] Tohoku Univ, Grad Sch Informat Sci, Sendai, Miyagi 9808579, Japan
[3] Michigan Technol Univ, Dept Math Sci, Houghton, MI 49931 USA
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES A | 2006年 / 113卷 / 08期
基金：
美国国家科学基金会;
关键词：
code synchronization; difference set; generalized balanced weighing matrix; line spread; projective space;
D O I：
10.1016/j.jcta.2006.03.014
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Difference Systems of Sets (DSS) are combinatorial configurations that arise in connection with code synchronization. This paper gives new constructions of DSS obtained from partitions of hyperplanes in a finite projective space, as well as DSS obtained from balanced generalized weighing matrices and partitions of the complement of a hyperplane in a finite projective space. (c) 2006 Elsevier Inc. All rights reserved.
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页码：1689 / 1698
页数：10
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