Abstract | ||
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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 |
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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 Yuan | 1 | 0 | 0.34 |
Shixin Zhu | 2 | 216 | 37.61 |
Xiaoshan Kai | 3 | 0 | 0.34 |