说明：  循环码是线性分组码中最重要的一种子类，是目前研究得比较成熟的一类码。它的检、纠错能力较强，编码和译码设备并不复杂，而且性能较好，不仅能纠正随机错误，也能纠正突发错误。循环码还有易于实现的特点，很容易用带反馈的移位寄存器实现其硬件 。循环码具有许多特殊的代数性质，这些性质有助于按照要求的纠错能力系统地构造这类码，并且简化译码算法，目前发现的大部分线性码与循环码有密切关系正是由于循环码具有码的代数结构清晰、性能较好、编译码简单和易于实现的特点，因此在目前的计算机纠错系统中所使用的线性分组码几乎都是循环码。
(Cyclic code is a linear block code in a subclass of the most important, is the more mature studied a class of code. Its inspection, error correction ability, encoding and decoding equipment is not complicated, and the performance is better, not only can correct random errors, burst errors can be corrected. Cyclic codes also easy to implement features, it is easy to use feedback shift registers with its hardware. Cyclic code has a number of special algebraic properties, these properties contribute to the error correction capability as required to construct this type of system code, and simplifies the decoding algorithm, currently found in most linear codes and cyclic codes are closely related it is precisely because cyclic code with the code of the algebraic structure of a clear, better performance, encoding and decoding features simple and easy to implement, so the correction in the current computer system used by almost all linear block codes, cyclic codes.)