Title
A class of constacyclic codes over ring R + vR
Abstract
Abstract By constructing a Gray map, a class of constacyclic codes over ring R = R+vR is studied. Using cyclic codes and negacyclic codes of length p s over ring R, the structure of (1−2v)-constacyclic codes and dual codes of length p s over ring R are given, the Gray images of (1 − 2v)-constacyclic codes in a particular case are also studied. It is shown that linear codes of length ps over ring R are (1−2v)-constacyclic codes if and only if their Gray images are distance-invariant cyclic codes of length 2p s over ring R.
Year
DOI
Venue
2016
10.1007/s11424-015-4108-y
J. Systems Science & Complexity
Keywords
Field
DocType
Constacyclic code,cyclic code,dual code,Gray map
Discrete mathematics,Gray map,Cyclic code,Mathematics,Dual code
Journal
Volume
Issue
ISSN
29
3
1559-7067
Citations 
PageRank 
References 
0
0.34
6
Authors
2
Name
Order
Citations
PageRank
Lei Huang100.34
Shixin Zhu221637.61