On minimum distance distribution of cyclic codes over ring F2+uF2 with length 2s

Computer Engineering and Applications ›› 2008, Vol. 44 ›› Issue (12): 69-70.

• 理论研究 • Previous Articles Next Articles

On minimum distance distribution of cyclic codes over ring F₂+uF₂ with length 2^s

LI Yu¹,CHEN Lu-sheng²

1.School of Mathematics and Physics，North China Electric Power University，Baoding，Hebei 071003，China
2.College of Mathematical Science，Nankai University，Tianjin 300071，China

Received:2007-08-15 Revised:2007-11-16 Online:2008-04-21 Published:2008-04-21
Contact: LI Yu

环F₂+uF₂上长为2^s线性循环码的极小距离分布

李雨¹,陈鲁生²

1.华北电力大学（保定）数理学院，河北保定 071003
2.南开大学数学科学学院，天津 300071

通讯作者: 李雨

Abstract

Abstract: Based on the structure of the cyclic codes over the ring F₂+uF₂，an accurate formula about the minimum distance distribution of the cyclic codes over the ring F₂+uF₂ with length 2^s is given.

Key words: linear cyclic code, Hamming distance, Lee distance

摘要： 研究了环F₂+uF₂上线性循环码的极小距离分布。首先给出了环F₂+uF₂上线性循环码的结构，利用该结构给出了长度为2^s线性循环码的极小距离分布的精确表示。

关键词: 线性循环码, 汉明距离, Lee距离

LI Yu¹,CHEN Lu-sheng². On minimum distance distribution of cyclic codes over ring F₂+uF₂ with length 2^s[J]. Computer Engineering and Applications, 2008, 44(12): 69-70.

李雨¹,陈鲁生². 环F₂+uF₂上长为2^s线性循环码的极小距离分布[J]. 计算机工程与应用, 2008, 44(12): 69-70.

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On minimum distance distribution of cyclic codes over ring F₂+uF₂ with length 2^s

环F₂+uF₂上长为2^s线性循环码的极小距离分布

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