Cyclotomic constructions of skew Hadamard difference sets

被引：25
|
作者：
Feng, Tao [1 ]
Xiang, Qing [1 ]
机构：
[1] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES A | 2012年 / 119卷 / 01期
基金：
美国国家科学基金会;
关键词：
Cyclotomy; Difference set; Gauss sum; Index 2 Gauss sum; Partial difference set; Skew Hadamard difference set; SCHEMES;
D O I：
10.1016/j.jcta.2011.08.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We revisit the old idea of constructing difference sets from cyclotomic classes. Two constructions of skew Hadamard difference sets are given in the additive groups of finite fields by using union of cyclotomic classes of F-q of order N = 2p(1)(m), where p(1) is a prime and in a positive integer. Our main tools are index 2 Gauss sums, instead of cyclotomic numbers. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：245 / 256
页数：12
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