Tightening Turyn’s bound for Hadamard difference sets

被引：0
|
作者：
Omar A. AbuGhneim
Ken W. Smith
机构：
[1] Jordan University,Department of Mathematics, Faculty of Science
[2] Central Michigan University,Department of Mathematics
来源：
Journal of Algebraic Combinatorics | 2008年 / 27卷
关键词：
Hadamard difference sets; Intersection numbers; Characters;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This work examines the existence of (4q2,2q2−q,q2−q) difference sets, for q=pf, where p is a prime and f is a positive integer. Suppose that G is a group of order 4q2 which has a normal subgroup K of order q such that G/K≅Cq×C2×C2, where Cq,C2 are the cyclic groups of order q and 2 respectively. Under the assumption that p is greater than or equal to 5, this work shows that G does not admit (4q2,2q2−q,q2−q) difference sets.
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页码：187 / 203
页数：16
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