Enumeration of (16,4,16,4) Relative Difference Sets

被引：0

作者：

Clark, David ^{[1
]}

Tonchev, Vladimir D. ^{[2
]}

机构：

[1] Univ Minnesota, Dept Math, Minneapolis, MN 55455 USA

[2] Michigan Technol Univ, Dept Math, Houghton, MI 49931 USA

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2013年 / 20卷 / 01期

关键词：

Relative difference set; symmetric net; GENERALIZED HADAMARD-MATRICES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A complete enumeration of relative difference sets (RDS) with parameters (16, 4, 16, 4) in a group of order 64 with a normal subgroup N of order 4 is given. If N = Z(4), three of the eleven abelian groups of order 64, and 23 of the 256 nonabelian groups of order 64 contain (16, 4, 16, 4) RDSs. If N = Z(2) x Z(2), six of the abelian groups and 194 of the non-abelian groups of order 64 contain (16, 4, 16, 4) RDSs.

引用

页数：14

共 42 条

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