On abelian (2n, n, 2n, 2)-difference sets

被引：3
|
作者：
Hiramine, Yutaka [1 ]
机构：
[1] Kumamoto Univ, Dept Math, Fac Educ, Kumamoto, Japan
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES A | 2010年 / 117卷 / 07期
关键词：
Relative difference set; Semi-regular; Abelian group; Group ring;
D O I：
10.1016/j.jcta.2009.12.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In their article A. Blokhuis, D. Jungnickel and B. Schmidt (2002) [1] have shown that if an abelian (n, n, n, 1)-difference set exists, then n is a power of a prime. In this article we prove that if an abelian (2n, n, 2n, 2)-difference set exists, then n is a power of 2 except in a few special cases. This is also a generalization of one of T. Feng and Q. Xiang's (2008) [2] results in the abelian case. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：996 / 1003
页数：8
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