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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Bibliographic Details
Main Authors: Hai Q. Dinh, Abhay Kumar Singh, Narendra Kumar, Songsak Sriboonchitta
Format: Journal
Published: 2018
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Online Access: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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Institution: Chiang Mai University
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Summary: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.