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Applicant:
Indian Institute of Technology (IIT) Patna 
Author:
Bag, Tushar; Dertli, Abdullah; Cengellenmis, Yasemin; Upadhyay, Ashish K.  
Corresponding Authors:
Ashish K. Upadhyay 
DOI #:
10.1007/s13226-020-0399-3 
Title:
Application of constacyclic codes over the semi local ring Fpm+vFpm.  
Journal:
Indian J. Pure Appl. Math.  
Year:
2020 
Volume:
51 
Page:
265–275 
Keywords:
Gray map; cyclic code; negacyclic code; constacyclic codes; quantum codes. 
Abstract:
In this paper, we study the quantum codes over Fpm, which are obtained from (λ1 + vλ2)- constacyclic codes over the semi local ring Fpm + vFpm, where v 2 = 1, p is odd prime. We decompose a (λ1 + vλ2)-constacyclic code over Fpm + vFpm into two constacyclic codes over Fpm such as (λ1 + λ2)-constacyclic and (λ1 − λ2)-constacyclic. We give the necessary and sufficient condition that the (λ1 + vλ2)-constacyclic codes over Fpm + vFpm contain their duals. We give some examples of non binary quantum codes. 
Entered by:
Venkata Dantham on 2020-08-04 
 
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