关于RS码子空间子码的研究

On the Subspace Subcodes of Reed-Solomon Codes

本文用谱的方法对RS码的子空间子码进行重新描述 ,得到了判断一个向量是RS码子空间子码的码字的充要条件 ,这些充要条件在研究RS码子空间子码的维数及编码RS码子空间子码时有重要的意义。本文还就RS码子空间子码的最小汉明距离 ,给出了一些初步的研究结果。

In this paper, by redescribing the Subspace Subcodes of Reed-Solomon Codes with the spectrum method we get some sufficient and necessary conditions under which we can judge whether a vector is a code of subspace subcodes of Reed-Solomon codes. These sufficient and necessary conditions are also very important to the research on the dimension and encoding of the subspace subcodes of Reed-Solomon Codes. Some initial results of the research on the minimun Hamming distance of such codes are also given in this paper