Title
Cyclotomy and its application to duadic codes
Abstract
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.
Year
DOI
Venue
2010
10.1016/j.ffa.2009.11.003
Finite Fields and Their Applications
Keywords
Field
DocType
special case,density theorem,quadratic residue code,cyclotomic duadic code,cyclotomic binary duadic code,prime length
Prime (order theory),Discrete mathematics,Combinatorics,Quadratic residue,Algebra,Conjecture,Mathematics,Binary number,Special case
Journal
Volume
Issue
ISSN
16
1
1071-5797
Citations 
PageRank 
References 
0
0.34
2
Authors
3
Name
Order
Citations
PageRank
Hideki Tada100.34
Shigeto Nishimura210.99
Toyokazu Hiramatsu310.72