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

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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 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.

Original language	English
Pages (from-to)	29-34
Number of pages	6
Journal	Tien Tzu Hsueh Pao/Acta Electronica Sinica
Volume	39
Issue number	1
State	Published - Jan 2011
Externally published	Yes

Keywords

Cyclic codes
Hamming distance
Lee distance

Cite this

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title = "On minimum distances of cyclic codes of length {\^2}e over F\_2+uF\_2",

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.",

keywords = "Cyclic codes, Hamming distance, Lee distance",

author = "Shi, \{Min Jia\} and Yang, \{Shan Lin\} and Zhu, \{Shi Xin\}",

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AU - Shi, Min Jia

AU - Yang, Shan Lin

AU - Zhu, Shi Xin

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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

M3 - 文章

AN - SCOPUS:79953166039

SN - 0372-2112

VL - 39

SP - 29

EP - 34

JO - Tien Tzu Hsueh Pao/Acta Electronica Sinica

JF - Tien Tzu Hsueh Pao/Acta Electronica Sinica

IS - 1

ER -

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

Abstract

Keywords

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