研究了有限域上线性码深度分布的反问题,即对于给定的一组自然数,如何构造一个线性码,使其深度谱恰好为给定的自然数组,讨论了线性码的深度分布与周期分布的关系,得出了一种由深度分布求出周期分布的方法。
This paper studies the inverse problem of depth distribution of linear codes. We find a linear code whose depth spectrum is just those given natural numbers. We discuss the relation between the depth distribution and the period distribution of linear codes, and the way to find the period distribution from depth distribution is presented.