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.
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页数：14
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