| 一种基于矩阵的秩的特殊的(t,n)门限方案 |
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| 引用本文： | 马成芬,张庆德,王莉.一种基于矩阵的秩的特殊的(t,n)门限方案[J].德州学院学报,2008,24(6). |
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| 作者姓名： | 马成芬 张庆德 王莉 |
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| 作者单位： | 1. 聊城大学数学科学学院,山东聊城,252059
2. 聊城大学东昌学院,山东聊城,252059 |
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| 摘 要： | 文章提出了一个基于矩阵和向量的特殊的(t,n)秘密共享方案,方案把矩阵的每一行当成一个向量作为成员的子密钥,利用向量的线性相关性和线性无关性来求一个密钥矩阵的秩,拥有这些不线性相关向量的t个人就能共享密钥矩阵,并对该方案的安全性进行了分析.
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| 关 键 词： | 密钥矩阵 向量 线性相关 秩 |
A Sharing Scheme of the Threshold Secret based on Matrix Rank |
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| MA Cheng-fen,ZHANG Qing-de,WANG Li.A Sharing Scheme of the Threshold Secret based on Matrix Rank[J].Journal of Dezhou University,2008,24(6). |
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| Authors: | MA Cheng-fen ZHANG Qing-de WANG Li |
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| Institution: | MA Cheng-fen1,ZHANG Qing-de2,WANG Li1(1.Department of Mathematics,Liaocheng University,Liaocheng Sh,ong 252059,China,2.Dongchang College,China) |
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| Abstract: | This paper proposes a special sharing scheme of the Threshold Secret based on matrix rank and vector,the matrix of every line as a vector as a member's sub-key.Using the linear correlation in the pursuit of key matrix rank,with no linear correlation between the vector individuals will be able to share key matrix.In this paper,the safety of the program were analyzed. |
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| Keywords: | key matrix vector linear correlation rank |
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