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一类满足断链条件的线性码的重量谱

, PP. 21-25

Keywords: 重量谱,差序列,断链条件

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Abstract:

GF(q)上[n,k;q]线性码C的重量谱为序列(d1,d2,…dk),这里dr是C的r维子码的最小支持重量。对满足含有任意多个邻接断点断链条件的线性码的重量谱进行了研究。首先,利用射影空间的性质,给出了满足这一条件的线性码的重量谱的简单必要条件;进一步利用有限射影几何方法,给出了这类码的具体构造,并通过子空间集适当地选取,证明了在几乎所有情况下,上述必要条件也是充分的,从而确定了这类码的几乎所有重量谱。

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