| 环Fp+uFp+…+ukFp上的准循环码 |
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| 引用本文： | 李富林,朱士信.环Fp+uFp+…+ukFp上的准循环码[J].合肥工业大学学报(自然科学版),2009,32(11). |
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| 作者姓名： | 李富林 朱士信 |
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| 作者单位： | 合肥工业大学,数学学院,安徽,合肥,230009 |
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| 摘 要： | 令R=Fp+uFp+...+ukFp,文章定义了对于n=n1ps,环Rn1到环Fpkn1p 上的Gray映射,给出了该映射的性质,并由此得出了R环上指数为pst,长为n=n1ps的准循环码与Fp上的准循环码一一对应,其中t|n1,(n1,p)=1,从而环R上的准循环码可以看作Fp上的准循环码.
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| 关 键 词： | 循环码 Gray映射 Nechaev置换 准循环码 |
Quasi-cyclic codes over Fp+uFp+...+ukFp |
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| LI Fu-ling,ZHU Shi-xin.Quasi-cyclic codes over Fp+uFp+...+ukFp[J].Journal of Hefei University of Technology(Natural Science),2009,32(11). |
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| Authors: | LI Fu-ling ZHU Shi-xin |
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| Abstract: | Let R=F_p+uF_p +…+u~kF_p. The Gray map from R~n1 to F~p_p~kn1 is defined,and one of the propositions of this map is given. It is shown that a quasi-cyclic code of length n=n_1p~s with the index p't over R is uniquely equivalent to a quasi-cyclic code of length n=n_1p~s with the index p't over F_p, where t|n_1 ,(n_1,p = 1. Then the quasicyclic code over the ring R can be taken as the quasi-cyclic code over the ring F_p. |
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| Keywords: | cyclic code Gray map? Nechaev permutation quasi-cyclic code |
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