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Applicant:
Indian Institute of Technology (IIT) Patna 
Author:
Tushar bag, Habibul Islam, Om Prakash and Ashish K. Upadhyay,  
Corresponding Authors:
Om Prakash 
DOI #:
http://dx.doi.org/10.13069/jacodesmath.617244 
Title:
A note on constacyclic and skew constacyclic codes over the ring Zp[u; v]/<u2 - u; v2 - v; uv – vu>, 
Journal:
J. Algebra Comb. Discrete Struct. Appl.  
Year:
2019 
Volume:
6(3) 
Page:
163-172 
Keywords:
Constacyclic codes, Skew constacyclic codes, Gray map, Quasi-cyclic codes 
Abstract:
For odd prime p, this paper studies (1 + (p−2)u)-constacyclic codes over the ring R = Zp[u, v]/hu 2 − u, v2 − v, uv − vui. We show that the Gray images of (1 + (p − 2)u)-constacyclic codes over R are cyclic and permutation equivalent to a quasi cyclic code over Zp. We derive the generators for (1 + (p − 2)u)-constacyclic and principally generated (1 + (p − 2)u)-constacyclic codes over R. Among others, we extend our results for skew (1 + (p − 2)u)-constacyclic codes over R and exhibit the relation between skew (1 + (p − 2)u)-constacyclic codes with the other linear codes. Finally, as an application of our study, we compute several non trivial linear codes by using the Gray images of (1 + (p − 2)u)-constacyclic codes over this ring R 
Entered by:
Venkata Dantham on 2020-08-04 
 
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