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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th-cmuir.6653943832-468932018-04-25T07:33:31Z On structure and distances of some classes of repeated-root constacyclic codes over Galois rings Hai Q. Dinh Hongwei Liu Xiu sheng Liu Songsak Sriboonchitta Agricultural and Biological Sciences © 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. 2018-04-25T07:04:04Z 2018-04-25T07:04:04Z 2017-01-01 Journal 10902465 10715797 2-s2.0-84991738766 10.1016/j.ffa.2016.09.004 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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Agricultural and Biological Sciences |
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Agricultural and Biological Sciences Hai Q. Dinh Hongwei Liu Xiu sheng Liu Songsak Sriboonchitta On structure and distances of some classes of repeated-root constacyclic codes over Galois rings |
| description |
© 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. |
| format |
Journal |
| author |
Hai Q. Dinh Hongwei Liu Xiu sheng Liu Songsak Sriboonchitta |
| author_facet |
Hai Q. Dinh Hongwei Liu Xiu sheng Liu Songsak Sriboonchitta |
| author_sort |
Hai Q. Dinh |
| title |
On structure and distances of some classes of repeated-root constacyclic codes over Galois rings |
| title_short |
On structure and distances of some classes of repeated-root constacyclic codes over Galois rings |
| title_full |
On structure and distances of some classes of repeated-root constacyclic codes over Galois rings |
| title_fullStr |
On structure and distances of some classes of repeated-root constacyclic codes over Galois rings |
| title_full_unstemmed |
On structure and distances of some classes of repeated-root constacyclic codes over Galois rings |
| title_sort |
on structure and distances of some classes of repeated-root constacyclic codes over galois rings |
| publishDate |
2018 |
| url |
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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1681422959108947968 |