计算机工程与应用 ›› 2008, Vol. 44 ›› Issue (12): 69-70.

• 理论研究 • 上一篇    下一篇

F2+uF2上长为2s线性循环码的极小距离分布

李 雨1,陈鲁生2   

  1. 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
  • 收稿日期:2007-08-15 修回日期:2007-11-16 出版日期:2008-04-21 发布日期:2008-04-21
  • 通讯作者: 李 雨

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

LI Yu1,CHEN Lu-sheng2   

  1. 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

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2s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

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 2s is given.

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