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应用科学学报 ›› 2001, Vol. 19 ›› Issue (3): 189-192.

• 论文 •    下一篇

纠错码的深度分布在其周期分布研究中的应用

岳殿武1, E. Shwedyk2   

  1. 1. 南京邮电学院通信工程系, 江苏南京 210003;
    2. 曼尼托巴大学电机与计算机工程系, 加拿大温尼伯 R3T5V6
  • 收稿日期:2000-08-14 修回日期:2001-02-20 出版日期:2001-09-30 发布日期:2001-09-30
  • 作者简介:岳殿武(1965-),男,吉林四平人,副教授,博士.
  • 基金资助:
    国家自然科学基金资助项目(69872016)

Applications of Depth Distribution to the Study of Period Distribution in Error-correcting Codes

YUE Dian-wu1, E. Shwedyk2   

  1. 1. Department of Telecommunication Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;
    2. Department of Electrical & Computer Engineering, The University of Manitoba, Winnipeg, Manitoba, Canada R3T5V6
  • Received:2000-08-14 Revised:2001-02-20 Online:2001-09-30 Published:2001-09-30

PDF

102

被引次数

36

摘要： 将纠错码的深度分布与周期分布建立了联系.对于码长为2幂次的线性码,给出了用深度分布求解周期分布的方法,并确定了码长为2幂次的扩展汉明码和扩展循环码的周期分布.

关键词: 纠错码, 深度分布, 周期分布, 深度谱

Abstract: In this paper, we find a relationship between the depth distribution and the period distribution in error-correcting codes. With the help of the depth distribution, we propose a new method for finding the period distribution of a linear code with a length to the power of 2. We can thus determine the period distribution of some classes of linear codes with a length to the power of 2, such as the extended Hamming code and the extended cyclic code.

Key words: error-correcting code, period distribution, depth spectrum, depth distribution

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