四元域上一类LCD常循环码

A Class of LCD Constacyclic Codes on the Quaternion Domains

线性互补对偶(LCD)码和循环码是两类重要的纠错码,在通信系统、数据存储以及密码等领域都有重要的应用。文章利用ω-常循环码的结构构造四元LCD常循环码,并分析它们的参数,确定其维数,然后再给出其最小距离的下界。

Linear complementary dual(LCD)codes and cyclic codes are two important types of error correction codes,which have important applications in communication systems,data storage,and cryptography.This article uses the structure of cyclic codes to construct quaternion LCD cyclic codes,analyzes their parameters,determines their dimensions,and then gives the lower bound of their minimum distance.