Research Article | OPEN ACCESS
Two MacWilliams Identities of the Linear Code over Ring $F_2+vF_2$
1Peng Hu and 2Wei Dai
1School of Mathematics and Physics, Hubei Polytechnic University, Huangshi 435003, China
2School of Economics and Management, Hubei Polytechnic University, Huangshi 435003, China
Research Journal of Applied Sciences, Engineering and Technology 2013 23:5435-5437
Received: November 24, 2012 | Accepted: January 17, 2013 | Published: May 28, 2013
Abstract
This study defined the ring $F_2+vF_2$, as well as its complete weight enumerator and symmetric weight enumerator. By introducing a special variable $t$, we deduced two Macwilliams identities for the two weight enumerators of the linear code and the dual code over the ring $F_2+vF_2$.
Keywords:
Complete weight enumerator, linear codes, mac williams identities, symmetric weight enumerato,
Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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