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电子学报  2013 

基于极小线性码上的秘密共享方案

DOI: 10.3969/j.issn.0372-2112.2013.02.003, PP. 220-226

Keywords: 极小线性码,存取结构,极小码字,秘密共享方案,不可约循环码

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Abstract:

从理论上说,每个线性码都可用于构造秘密共享方案,但是在一般情况下,所构造的秘密共享方案的存取结构是难以确定的.本文提出了极小线性码的概念,指出基于这种码的对偶码所构造的秘密共享方案的存取结构是容易确定的.本文首先证明了极小线性码的缩短码一定是极小线性码.然后对几类不可约循环码给出它们为极小线性码的判定条件,并在理论上研究了基于几类不可约循环码的对偶码上的秘密共享方案的存取结构.最后用编程具体求出了一些实例中方案的存取结构.

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