Cyclotomy and its application to duadic codes

被引：5
|
作者：
Tada, Hideki [1 ]
Nishimura, Shigeto [1 ]
Hiramatsu, Toyokazu [1 ]
机构：
[1] Hosei Univ, Coll Engn, Dept Syst & Control Engn, Tokyo 1848584, Japan
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2010年 / 16卷 / 01期
关键词：
Duadic codes; Cyclotomy; Higher reciprocity laws; Tschebotareff's density theorem;
D O I：
10.1016/j.ffa.2009.11.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we treat cyclotomic binary duadic codes. The conjecture of Ding and Pless is that there are infinitely many cyclotomic duadic codes of prime lengths that are not quadratic residue codes. We shall prove this conjecture by using the special case of Tschebotareff's density theorem. (C) 2009 Elsevier Inc. All rights reserved.
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页码：4 / 13
页数：10
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