On constacyclic codes over Z 4 [v]/<v2 -v> and their Gray images
IEEE In this article, we discuss the construction of all constacyclic codes over R = ℤ4[v]=<v2 – v>. Some significant properties of linear codes over R have been explored. The self-dual constacyclic codes for o...
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th-cmuir.6653943832-584902018-09-05T04:32:37Z On constacyclic codes over Z 4 &#x005B;v&#x005D;/&#x003C;v2 -v&#x003E; and their Gray images Hai Q. Dinh Abhay Kumar Singh Narendra Kumar Songsak Sriboonchitta Computer Science Engineering Mathematics IEEE In this article, we discuss the construction of all constacyclic codes over R = ℤ4[v]=<v2 – v>. Some significant properties of linear codes over R have been explored. The self-dual constacyclic codes for odd length over R are determined. Several examples of (1 + 2v)-constacyclic codes and (3 + 2v)-constacyclic codes over R, whose ℤ4-images are new ℤ4-linear codes with better parameters according to [16], are provided. 2018-09-05T04:25:23Z 2018-09-05T04:25:23Z 2018-06-18 Journal 10897798 2-s2.0-85048893606 10.1109/LCOMM.2018.2848942 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85048893606&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58490 |
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Computer Science Engineering Mathematics |
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Computer Science Engineering Mathematics Hai Q. Dinh Abhay Kumar Singh Narendra Kumar Songsak Sriboonchitta On constacyclic codes over Z 4 &#x005B;v&#x005D;/&#x003C;v2 -v&#x003E; and their Gray images |
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IEEE In this article, we discuss the construction of all constacyclic codes over R = ℤ4[v]=<v2 – v>. Some significant properties of linear codes over R have been explored. The self-dual constacyclic codes for odd length over R are determined. Several examples of (1 + 2v)-constacyclic codes and (3 + 2v)-constacyclic codes over R, whose ℤ4-images are new ℤ4-linear codes with better parameters according to [16], are provided. |
| format |
Journal |
| author |
Hai Q. Dinh Abhay Kumar Singh Narendra Kumar Songsak Sriboonchitta |
| author_facet |
Hai Q. Dinh Abhay Kumar Singh Narendra Kumar Songsak Sriboonchitta |
| author_sort |
Hai Q. Dinh |
| title |
On constacyclic codes over Z 4 &#x005B;v&#x005D;/&#x003C;v2 -v&#x003E; and their Gray images |
| title_short |
On constacyclic codes over Z 4 &#x005B;v&#x005D;/&#x003C;v2 -v&#x003E; and their Gray images |
| title_full |
On constacyclic codes over Z 4 &#x005B;v&#x005D;/&#x003C;v2 -v&#x003E; and their Gray images |
| title_fullStr |
On constacyclic codes over Z 4 &#x005B;v&#x005D;/&#x003C;v2 -v&#x003E; and their Gray images |
| title_full_unstemmed |
On constacyclic codes over Z 4 &#x005B;v&#x005D;/&#x003C;v2 -v&#x003E; and their Gray images |
| title_sort |
on constacyclic codes over z 4 &#x005b;v&#x005d;/&#x003c;v2 -v&#x003e; and their gray images |
| publishDate |
2018 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85048893606&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58490 |
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