On Relative Difference Sets in Dihedral Groups

被引：0

作者：

Agnes D. Garciano

Yutaka Hiramine

Takeo Yokonuma

机构：

[1] Ateneo de Manila University,Mathematics Department

[2] Kumamoto University,Department of Mathematics, Faculty of Education

[3] Sophia University,Department of Mathematics

来源：

Designs, Codes and Cryptography | 2006年 / 39卷

关键词：

relative difference sets; dihedral groups; affine type;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we study extensions of trivial difference sets in dihedral groups. Such relative difference sets have parameters of the form (uλ,u,uλ, λ) or (uλ+2,u, uλ+1, λ) and are called semiregular or affine type, respectively. We show that there exists no nontrivial relative difference set of affine type in any dihedral group. We also show a connection between semiregular relative difference sets in dihedral groups and Menon–Hadamard difference sets.

引用

页码：51 / 63

页数：12

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