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

页码：996 / 1003

页数：8

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