Title of article
On abelian -difference sets
Author/Authors
Arasu، نويسنده , , K.T. and Chen، نويسنده , , Yu Qing and Pott، نويسنده , , Alexander، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
18
From page
1120
To page
1137
Abstract
In this paper we prove that an abelian group contains ( 2 2 m + 1 ( 2 m − 1 + 1 ) , 2 m ( 2 m + 1 ) , 2 m ) -difference sets with m ⩾ 3 if and only if it contains an elementary abelian 2-group of order 2 2 m . Our proof shows that the method of constructing such difference sets is essentially unique.
Keywords
difference sets , McFarland difference sets , Character sum , Group algebra , Character divisibility
Journal title
Journal of Combinatorial Theory Series A
Serial Year
2006
Journal title
Journal of Combinatorial Theory Series A
Record number
1531103
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