Research Article | OPEN ACCESS
Research on Important Identities for a Class of Linear Codes over Finite Chain Rings
1Wei Dai and 2Peng Hu
1School of Economics and Management, Hubei Polytechnic University, Huangshi 435003, China
2School of Mathematics and Physics, Hubei Polytechnic University, Huangshi 435003, China
Research Journal of Applied Sciences, Engineering and Technology 2013 15:3983-3985
Received: November 09, 2012 | Accepted: December 23, 2012 | Published: April 25, 2013
Abstract
In this study the definition and properties of finite chain ring $F_2+υF_2$ are given, as well as its complete weight enumerator and symmetric weight enumerator. And on this basis by introducing a special variable t as a new variable method, to study the linear codes over finite chain rings with dual codes on more than two kinds of weight enumerators related identities.
Keywords:
Dual code, finite chain rings, identities, linear codes,
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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