QUALIFIED DIFFERENCE SETS FROM UNIONS OF CYCLOTOMIC CLASSES

被引：0

作者：

Byard, Kevin ^{[1
]}

Broughan, Kevin ^{[2
]}

机构：

[1] Massey Univ, Inst Informat & Math Sci, Auckland, New Zealand

[2] Univ Waikato, Dept Math, Hamilton, New Zealand

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2009年 / 80卷 / 01期

关键词：

qualified residue difference sets; difference sets; cyclotomy; BINARY ARRAYS;

D O I：

10.1017/S0004972709000161

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Qualified difference sets (QDS) composed of unions of cyclotomic classes are discussed. An exhaustive computer search for such QDS and modified QDS that also possess the zero residue has been conducted for all powers n = 4, 6, 8 and 10. Two new families were discovered in the case n = 8 and some new isolated systems were discovered for n = 6 and n = 10.

引用

页码：147 / 158

页数：12

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