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Algebra and Discrete Mathematics, 2015, Volume 19, Issue 2, Pages 243–253 (Mi adm520)  
RESEARCH ARTICLE

On various parameters of $\mathbb{Z}_q$-simplex codes for an even integer $q$

P. Ch. Pandian, C. Durairajan

Department of Mathematics, Bharathidasan University
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Abstract: In this paper, we defined the $\mathbb{Z}_q$-linear codes and discussed its various parameters. We constructed $\mathbb{Z}_q$-Simplex code and $\mathbb{Z}_q$-MacDonald code and found its parameters. We have given a lower and an upper bounds of its covering radius for $q$ is an even integer.
Keywords: codes over finite rings, $\mathbb{Z}_q$-linear code, $\mathbb{Z}_q$-simplex code, $\mathbb{Z}_q$-MacDonald code, covering radius.
Funding agency Grant number
Department of Science and Technology, India SR/S4/MS:588/09
The second author was supported by a grant (SR/S4/MS:588/09) from the Department of Science and Technology, New Delhi.
Received: 17.07.2013
Revised: 31.07.2013
Bibliographic databases:
Document Type: Article
MSC: 94B05, 11H31
Language: English
Citation: P. Ch. Pandian, C. Durairajan, “On various parameters of $\mathbb{Z}_q$-simplex codes for an even integer $q$”, Algebra Discrete Math., 19:2 (2015), 243–253
Citation in format AMSBIB
\Bibitem{PanDur15}
\by P.~Ch.~Pandian, C.~Durairajan
\paper On various parameters of $\mathbb{Z}_q$-simplex codes for an even integer $q$
\jour Algebra Discrete Math.
\yr 2015
\vol 19
\issue 2
\pages 243--253
\mathnet{http://mi.mathnet.ru/adm520}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3376353}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000378729000008}
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