On minimum distances of cyclic codes of length 2̂e over F_2+uF_2

Min Jia Shi; Shan Lin Yang; Shi Xin Zhu

On minimum distances of cyclic codes of length 2̂e over F_2+uF_2

Min Jia Shi
, Shan Lin Yang
, Shi Xin Zhu

Hefei University of Technology
Anhui University
Southeast University, Nanjing

科研成果: 期刊稿件 › 文章 › 同行评审

11 引用（Scopus）

摘要

Determining the Hamming distances and Lee distances of codes is the key of decoding. In this paper, the structures of cyclic codes over ring F_2+uF_2 are classified. The Hamming distances and Lee distances of some cyclic codes of length 2̂e over ring F_2+uF_2 are determined. The upper bound of Hamming distance of other cyclic codes of length 2̂e over ring F_2+uF_2 are given, and the upper and lower bound of Lee distances of these cyclic codes are also given.

源语言	英语
页（从-至）	29-34
页数	6
期刊	Tien Tzu Hsueh Pao/Acta Electronica Sinica
卷	39
期	1
出版状态	已出版 - 1月 2011
已对外发布	是

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abstract = "Determining the Hamming distances and Lee distances of codes is the key of decoding. In this paper, the structures of cyclic codes over ring F\_2+uF\_2 are classified. The Hamming distances and Lee distances of some cyclic codes of length {\^2}e over ring F\_2+uF\_2 are determined. The upper bound of Hamming distance of other cyclic codes of length {\^2}e over ring F\_2+uF\_2 are given, and the upper and lower bound of Lee distances of these cyclic codes are also given.",

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N2 - Determining the Hamming distances and Lee distances of codes is the key of decoding. In this paper, the structures of cyclic codes over ring F_2+uF_2 are classified. The Hamming distances and Lee distances of some cyclic codes of length 2̂e over ring F_2+uF_2 are determined. The upper bound of Hamming distance of other cyclic codes of length 2̂e over ring F_2+uF_2 are given, and the upper and lower bound of Lee distances of these cyclic codes are also given.

AB - Determining the Hamming distances and Lee distances of codes is the key of decoding. In this paper, the structures of cyclic codes over ring F_2+uF_2 are classified. The Hamming distances and Lee distances of some cyclic codes of length 2̂e over ring F_2+uF_2 are determined. The upper bound of Hamming distance of other cyclic codes of length 2̂e over ring F_2+uF_2 are given, and the upper and lower bound of Lee distances of these cyclic codes are also given.

KW - Cyclic codes

KW - Hamming distance

KW - Lee distance

UR - https://www.scopus.com/pages/publications/79953166039

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