| 循环陪集首集与Goppa码,Alternant码最小距离下限 |
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| 引用本文： | 王建宇. 循环陪集首集与Goppa码,Alternant码最小距离下限[J]. 通信学报, 1994, 15(1): 107-112 |
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| 作者姓名： | 王建宇 |
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| 作者单位： | 南开大学数学系 |
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| 摘 要： | 文献１将求Ｇｏｐｐａ码，Ａｌｔｅｒｎａｎｔ码最小距离下限归结为求循环倍集首集Ａ中最小的比ｒ大的元Ｍ（ｒ）的问题。本文研究了Ａ中元所具有的特征，并得到了计算Ｍ（ｒ）的一个有用的方法。
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| 关 键 词： | 循环陪集 编码理论 Goppa码 |
The Lead Set of Cyclotomic Cosets and the Lower Bounds of Minimum Distance for Goppa Codes and Alternant Codes |
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| Wang Jianyu. The Lead Set of Cyclotomic Cosets and the Lower Bounds of Minimum Distance for Goppa Codes and Alternant Codes[J]. Journal on Communications, 1994, 15(1): 107-112 |
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| Authors: | Wang Jianyu |
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| Abstract: | In paper[1],The problem of finding the lower bounds on minimum distance for Goppa Codes and Alternant Codes was turned into the problem of finding the element M(r) which is first greater than the given r in the lead set of cyclotomic cosets A.In this paper,we discuss the characteristic property of element in A and obtained a method of computing M(r). |
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| Keywords: | cyclotomic cosets Goppa.codes Alternant codes lower bounds |
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