Title
On the depth spectrum of repeated-root constacyclic codes over finite chain rings
Abstract
Let R be a finite commutative chain ring and γ be a fixed generator of the maximal ideal of R. For any unit w in R, (1+wγ)-constacyclic codes over R as a generalization of negacyclic codes over Z4 are a class of important linear codes. In this paper, based on algebraic structure, the generator polynomials of all torsion codes of (1+wγ)-constacyclic codes of any length over R are first given. Then, by using these torsion codes, we completely determine the depth spectrums of (1+wγ)-constacyclic codes over R of any length.
Year
DOI
Venue
2020
10.1016/j.disc.2019.111647
Discrete Mathematics
Keywords
DocType
Volume
Constacyclic codes,Repeated-root constacyclic codes,Depth distribution,Depth spectrums,Torsion codes
Journal
343
Issue
ISSN
Citations 
2
0012-365X
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Jian Yuan100.34
Shixin Zhu221637.61
Xiaoshan Kai300.34