On structure and distances of some classes of repeated-root constacyclic codes over Galois rings
© 2016 Elsevier Inc. The structure of λ-constacyclic codes of length 2 s over the Galois ring GR(2 a ,m) is obtained, for any unit λ of the form 4z−1, z∈GR(2 a ,m). The duals codes and necessary and sufficient conditions for the existence of a self-dual λ-constacyclic code are provided. Among others...
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| Main Authors: | , , , |
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| Format: | Journal |
| Published: |
2018
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| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84991738766&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/46893 |
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| Institution: | Chiang Mai University |
| Summary: | © 2016 Elsevier Inc. The structure of λ-constacyclic codes of length 2 s over the Galois ring GR(2 a ,m) is obtained, for any unit λ of the form 4z−1, z∈GR(2 a ,m). The duals codes and necessary and sufficient conditions for the existence of a self-dual λ-constacyclic code are provided. Among others, this structure is used to establish the Hamming, homogeneous, and Rosenbloom–Tsfasman distances, and Rosenbloom–Tsfasman weight distribution of all such constacyclic codes. |
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