Abstract | ||
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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 |
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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 Huang | 1 | 0 | 0.34 |
Shixin Zhu | 2 | 216 | 37.61 |