On the Codes over a Semilocal Finite Ring
Journal Title: International Journal of Advanced Computer Science & Applications - Year 2015, Vol 6, Issue 10
Abstract
In this paper, we study the structure of cyclic, quasi cyclic, constacyclic codes and their skew codes over the finite ring R. The Gray images of cyclic, quasi cyclic, skew cyclic, skew quasi cyclic and skew constacyclic codes over R are obtained. A necessary and sufficient condition for cyclic (negacyclic) codes over R that contains its dual has been given. The parameters of quantum error correcting codes are obtained from both cyclic and negacyclic codes over R. Some examples are given. Firstly, quasi constacyclic and skew quasi constacyclic codes are introduced. By giving two inner product, it is investigated their duality. A sufficient condition for 1 generator skew quasi constacyclic codes to be free is determined.
Authors and Affiliations
Abdullah Dertli, Yasemin Cengellenmis, Senol Eren
Keywords
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- EP ID EP117448
- DOI 10.14569/IJACSA.2015.061038
- Views 89
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