In this paper, we simply introduce the RS code structure, analyze RS code encoding/decoding arithmetic, realize fast operation in finity field by using look-up tables method, and use Berlekamp-Messey algebiaic decoding algorithm.

• 本论文简要介绍了RS码的结构,分析了RS码编译码算法,使用查表法实现快速的有限域运算,采用Berlekamp-Massey代数译码算法。