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A class of constacyclic codes over ring R + vR

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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 p s 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.

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Authors and Affiliations

  1. School of Mathematics, Hefei University of Technology, Hefei, 230009, China

    Lei Huang & Shixin Zhu

Authors
  1. Lei Huang
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  2. Shixin Zhu
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Correspondence to Lei Huang.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant No. 61370089.

This paper was recommended for publication by Editor LI Ziming.

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Huang, L., Zhu, S. A class of constacyclic codes over ring R + vR . J Syst Sci Complex 29, 805–813 (2016). https://doi.org/10.1007/s11424-015-4108-y

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  • DOI: https://doi.org/10.1007/s11424-015-4108-y

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