纠错码的深度分布在其周期分布研究中的应用

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

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 .

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.