作　　者： ; ;

机构地区： 东南大学

出　　处： 《高校应用数学学报（A辑）》 1996年第2期139-144,共6页

摘　　要： 本文应用离散傅里叶变换来分析有限域上时域多项式环和它的频域多项式环之间的同构,从另一角度提出了一种由循环码单位元生成它的对偶码的新方法。本文还建立了循环码单位元与它的频域单位元之间的联系,由此可以很方便地生成它的对偶码,理论和实例表明这种方法是行之有效的。 In this paper we analyse the isomorphism of polynomial rings between time domainand frequency domain using the Discrete Fourier Transform (DFT)). A new approach hasbeen proposed to generate the dual code of a cyclic code by its identity from another pointof view. The relationship between the identity of cyclic code and its DFT is also estab-lished. By this means the dual code of a cyclic code can be found out conveniently. Thismethod is proved to be effective in practice as well as in theory.

关 键 词： 傅里叶变换 对偶码 循环码 线性分组码

领　　域： [理学] [理学]