| 保护私有信息的一般线性方程组计算协议 |
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| 引用本文： | 王莉,王卿文.保护私有信息的一般线性方程组计算协议[J].应用数学与计算数学学报,2014,28(3):300-307. |
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| 作者姓名： | 王莉 王卿文 |
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| 作者单位： | 1. 上海大学理学院,上海200444;杭州师范大学理学院,杭州310012
2. 上海大学理学院,上海,200444 |
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| 基金项目： | 国家自然科学基金资助项目，上海市自然科学基金资助项目 |
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| 摘 要： | 作为科学计算的一个重要问题,保护私有信息的线性方程组的求解在金融、机械及通信等领域有着广泛的应用.在不经意传输的意义下,利用有限域上计算Moore-Penrose伪逆矩阵的概率算法,设计新的安全协议,解决了隐私保护的一般线性方程组在有限域上的安全两方计算问题,并利用模拟范例证明该协议在半诚实模型下是安全的.
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| 关 键 词： | 安全多方计算 不经意传输OT1N协议 一般线性方程组 Moore-Penrose伪逆矩阵 |
Privacy-preserving cooperative computation protocols for general linear system of equations |
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| WANG Li,WANG Qing-wen.Privacy-preserving cooperative computation protocols for general linear system of equations[J].Communication on Applied Mathematics and Computation,2014,28(3):300-307. |
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| Authors: | WANG Li WANG Qing-wen |
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| Affiliation: | WANG Li, WANG Qing-wen (1. College of Sciences, Shanghai University, Shanghai 200444, China; 2. College of Sciences, Hangzhou Normal University, Hangzhou 310012, China) |
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| Abstract: | The privacy-preserving cooperative linear system of equation problems is an important scientific computation that has found many applications in various areas such as banking, manufacturing, and telecommunications. Given an imple- mentation of oblivious transfer, we present a secure two-party protocol to solve privacy-preserving cooperative general linear system of equations by the probabilistic algorithm of computing the Moore-Penrose pseudoinverse over finite fields. The simulations in the semi-honest model show that this two-party solution is secure and efficient. |
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| Keywords: | secure multi-party computation （SMC） oblivious transfer 1 out of Nprotocol general linear system of equations Moore-Penrose pseudoinverse matrix |
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