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Applicant:
Indian Institute of Technology (IIT) Patna 
Author:
Habibul Islam and Om Prakash 
Corresponding Authors:
Om Prakasha 
DOI #:
https://doi.org/10.2298/FIL1908237I 
Title:
A class of constacyclic codes over the ring ℤ4[u,v]/<u2, v2, uv-vu> and their Gray images,  
Journal:
Filomat 
Year:
2019 
Volume:
33(8) 
Page:
2238-2248 
Keywords:
constacyclic codes, ring 
Abstract:
In this paper, we study (1 + 2u + 2v)-constacyclic and skew (1 + 2u + 2v)-constacyclic codes over the ring Z4 + uZ4 + vZ4 + uvZ4 where u 2 = v 2 = 0, uv = vu. We define some new Gray maps and show that the Gray images of (1 + 2u + 2v)-constacyclic and skew (1 + 2u + 2v)-constacyclic codes are cyclic, quasi-cyclic and permutation equivalent to quasi-cyclic codes over Z4. Further, we determine the structure of (1 + 2u + 2v)-constacyclic codes of odd length n. 
Entered by:
Venkata Dantham on 2020-08-04 
 
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