Computer Engineering and Applications ›› 2008, Vol. 44 ›› Issue (28): 51-52.DOI: 10.3778/j.issn.1002-8331.2008.28.017

• 理论研究 • Previous Articles     Next Articles

Construction of optimal codes for 4 dimensions based on quaternary self-orthogonal code

LI Yi-qun,ZHAO Xue-jun,LI Rui-hu,WANG Lei   

  1. Air Force Engineering University,Xi’an 710051,China
  • Received:2007-11-14 Revised:2008-02-03 Online:2008-10-01 Published:2008-10-01
  • Contact: LI Yi-qun

基于四元域上自正交码的4维最优码的构造

李益群,赵学军,李瑞虎,王 雷   

  1. 空军工程大学 理学院 数理系,西安 710051
  • 通讯作者: 李益群

Abstract: The relations between length and minimum distance of 4 dimensions optimal or near optimal quaternary self-orthogonal codes are investigated,the generator matrices of such random optimal or near optimal self-orthogonal codes are constructed by combinatorial method.Especially,the optimal self-orthogonal codes that achieve the Griesmer bound are determined.

Key words: self-orthogonal code, Griesmer bound, optimal code, near optimal code

摘要: 研究了F4上维数为4的最优(或拟最优)自正交码的码长与极小距离之间的关系,用组合方法构造出任意码长的最优(或拟最优)自正交码的生成矩阵,确定了其中达到Griesmer界的码。

关键词: 自正交码, Griesmer界, 最优码, 拟最优码