摘要
循环码是线性码的一个重要子集,是目前研究较多的一类码。通过循环码可以建立许多重要的码,且具有容易纠错的能力。文章利用有限环与域的思想来证明循环码的代数结构和应用。
Cyclic codes form an important class of codes for some reasons. They possess a rich algebraic structure, they can also construct other codes and easily be errors correcting codes. In this paper we use ring and finite field to prove the structure of cyclic codes and illustrate with some examples.
关键词
码字
循环码
监督多项式
codeword
cyclic codes
check polynomial
