On the Codes over a Semilocal Finite Ring

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

Related Articles

 Analyzing Opinions and Argumentation in News Editorials and Op-Eds

 Analyzing opinions and arguments in news editorials and op-eds is an interesting and a challenging task. The challenges lie in multiple levels – the text has to be analyzed in the discourse level (paragraphs and ab...

Explorative Study of SQL Injection Attacks and Mechanisms to Secure Web Application Database- A Review

The increasing innovations in web development technologies direct the augmentation of user friendly web applications. With activities like - online banking, shopping, booking, trading etc. these applications have become...

A Survey of Malware Detection Techniques based on Machine Learning

Diverse malware programs are set up daily focusing on attacking computer systems without the knowledge of their users. While some authors of these programs intend to steal secret information, others try quietly to prove...

Dynamic Time Warping and FFT: A Data Preprocessing Method for Electrical Load Forecasting

For power suppliers, an important task is to accurately predict the short-term load. Thus many papers have introduced different kinds of artificial intelligent models to improve the prediction accuracy. In recent years,...

A Short Review of Gender Classification based on Fingerprint using Wavelet Transform

In some cases, knowing the gender of fingerprint owner found in criminal or disaster scene is advantageous. Theoretically, if the number of the male and female fingerprints in a database is equal, then the identification...

Download PDF file
  • EP ID EP117448
  • DOI 10.14569/IJACSA.2015.061038
  • Views 112
  • Downloads 0

How To Cite

Abdullah Dertli, Yasemin Cengellenmis, Senol Eren (2015). On the Codes over a Semilocal Finite Ring. International Journal of Advanced Computer Science & Applications, 6(10), 283-292. https://europub.co.uk./articles/-A-117448