Paper Info
Title
The condition for a cyclic code to have a complementary dual.
Abstract
A linear code with a complementary dual (an LCD code) is a linear code C whose dual code C ⊥ satisfies C∩C ⊥ ={ 0 } . It is shown that the necessary and sufficient condition for a cyclic code C of length n to be an LCD code is that the generator polynomial g ( x ) of C be self-reciprocal and all the monic irreducible factors of g ( x ) have the same multiplicity in g ( x ) as in x n -1.
Year
DOI
Venue
1994
10.1016/0012-365X(94)90283-6
Discrete Mathematics
Keywords
DocType
Volume
cyclic code
Journal
126
Issue
ISSN
Citations 
1-3
Discrete Mathematics
41
PageRank 
References 
Authors
2.30
2
2
Name
Order
Citations
PageRank
Xiang Yang1412.30
James L. Massey21096272.94