| 一种求循环码对偶码的新方法 |
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| 引用本文： | 仰枫帆,毕光国.一种求循环码对偶码的新方法[J].高校应用数学学报(A辑),1996(2):139-144. |
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| 作者姓名： | 仰枫帆 毕光国 |
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| 作者单位： | 南京市东南大学无线电工程系，南京市东南大学无线电工程系 邮码 210096，邮码 210096 |
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| 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。
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| 关 键 词： | 傅里叶变换 对偶码 DFT 循环码 线性分组码 |
A NEW APPROACH FOR FINDING THE DUAL CODE OF A CYCLIC CODE |
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| Yang Fengfang,Bi Guangguo Dept. of Radio Engineering,Southeast University,Najing.A NEW APPROACH FOR FINDING THE DUAL CODE OF A CYCLIC CODE[J].Applied Mathematics A Journal of Chinese Universities,1996(2):139-144. |
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| Authors: | Yang Fengfang Bi Guangguo Dept of Radio Engineering Southeast University Najing |
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| Institution: | Yang Fengfang,Bi Guangguo Dept. of Radio Engineering,Southeast University,Najing 210096 |
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| Abstract: | 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. |
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| Keywords: | Discrete Fourier Transform Identity Isomorphism Dual Code |
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