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纠错码的深度分布在其周期分布研究中的应用
引用本文:岳殿武,E.Shwedyk.纠错码的深度分布在其周期分布研究中的应用[J].应用科学学报,2001,19(3):189-192.
作者姓名:岳殿武  E.Shwedyk
作者单位: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
基金项目:国家自然科学基金资助项目(69872016)
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  
文章编号:0255-8297(2001)03-0189-04
收稿时间:2000-08-14
修稿时间:2001-02-20

Applications of Depth Distribution to the Study of Period Distribution in Error-correcting Codes
YUE Dian-wu ,E.Shwedyk.Applications of Depth Distribution to the Study of Period Distribution in Error-correcting Codes[J].Journal of Applied Sciences,2001,19(3):189-192.
Authors:YUE Dian-wu  EShwedyk
Institution: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
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.
Keywords:error-correcting code  depth distribution  period distribution  depth spectrum
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