Linear codes and their weight enumerators over the ring Fp+uFp+vFp+uvFp

CHEN Yanna; WU Huazhang; SHI Minjia

doi:10.3969/j.issn.0253-2778.2017.11.003

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Open Access JUSTC Research Articles:Mathematics

Linear codes and their weight enumerators over the ring F_p+uF_p+vF_p+uvF_p

1.
Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University, Hefei 230039, China
2.
School of Mathematical Sciences, Anhui University, Hefei 230601, China

Funds: Supported by National Natural Science Foundation of China (61672036), the Open Research Fund of Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University.

Cite this:

https://doi.org/10.3969/j.issn.0253-2778.2017.11.003

More Information

Author Bio:
CHEN Yanna, female, born in 1992, master. Research field: Algebraic coding theory. E-mail:chenyanna881@163.com.
Corresponding author: WU Huazhang, PhD/Prof. E-mail: wuhz@ahu.edu.cn.
Publish Date: 30 November 2017

Abstract Full text PDF

Abstract

Abstract

The linear codes over the ring F_p+uF_p+vF_p+uvF_p were studied, where p is a prime and u²=u, v²=v, uv=vu. A kind of Gray map and some weight enumerators and their relationships of linear codes over R were discussed. Moreover, an example was given to show the validity of the above weight enumerators formulas.

Abstract

The linear codes over the ring F_p+uF_p+vF_p+uvF_p were studied, where p is a prime and u²=u, v²=v, uv=vu. A kind of Gray map and some weight enumerators and their relationships of linear codes over R were discussed. Moreover, an example was given to show the validity of the above weight enumerators formulas.