Comment on “Harnessing the Cloud for Securely Outsourcing Large-Scale Systems of Linear Equations”

Z. Cao; L. Liu

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Comment on “Harnessing the Cloud for Securely Outsourcing Large-Scale Systems of Linear Equations”

机译：评论“利用云安全地外包大规模线性方程组”

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We remark that the Wang et al.'s scheme [, 24 (6), 1172-1181, 2013] fails because the involved homomorphic encryption system is invalid in the context of the scheme. This is due to that the general arithmetic over the field (the outsourced linear equations are constrained to the field) is not compatible with the modular arithmetic over any finite domain (the homomorphic encryption is constrained to the domain).

机译：我们注意到Wang等人的方案[，24（6），1172-1181，2013]失败了，因为所涉及的同态加密系统在该方案的上下文中是无效的。这是因为，该字段的通用算法（外包的线性方程式被约束到该字段）与任何有限域上的模块化算法都不兼容（同态加密被约束到该域）。

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来源
《IEEE Transactions on Parallel and Distributed Systems》 |2016年第5期|1551-1552|共2页
作者
Z. Cao; L. Liu;
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作者单位

Department of Mathematics, Shanghai University, Shangda Road, Shanghai, China;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Cloud computing; Paillier's encryption; homomorphic encryption; linear equations;

机译：云计算;Paillier加密;同态加密;线性方程;

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专利

1. Harnessing the Cloud for Securely Outsourcing Large-Scale Systems of Linear Equations [J] . Wang Cong, Ren Kui, Wang Jia, Parallel and Distributed Systems, IEEE Transactions on . 2013,第6期

机译：利用云安全地外包大型线性方程组
2. New Algorithms for Secure Outsourcing of Large-Scale Systems of Linear Equations [J] . Xiaofeng Chen, Xinyi Huang, Jin Li, Information Forensics and Security, IEEE Transactions on . 2015,第1期

机译：大规模线性方程组安全外包的新算法
3. Comments on: "a family of derivative-free conjugate gradient methods for large-scale nonlinear systems of equations" [J. Comput. Appl. Math. 224 (2009) 11-19] [J] . Zhang L., Jian S. Journal of Computational and Applied Mathematics . 2012,第17期

机译：评论：“一类用于大型非线性方程组的无导数共轭梯度方法” [J.计算应用数学。 224（2009）11-19]。
4. Harnessing the Cloud for Securely Solving Large-Scale Systems of Linear Equations [C] . Wang Cong, Ren Kui, Wang Jia, 31st International Conference on Distributed Computing Systems . 2011

机译：利用云安全解决大型线性方程组
5. Secure cloud computing for solving large-scale linear systems of equations. [D] . Chen, Xuhui. 2015

机译：用于解决大规模线性方程组的安全云计算。
6. Two-Cloud-Servers-Assisted Secure Outsourcing Multiparty Computation [O] . Yi Sun, Qiaoyan Wen, Yudong Zhang, -1

机译：两台云服务器协助的安全外包多方计算
7. 1 Harnessing the Cloud for Securely Outsourcing Large-scale Systems of Linear Equations [O] . Cong Wang, Student Member, Kui Ren, 2014

机译：1利用云安全地外包大型线性方程组
8. Solving Large-Scale Sparse Eigenvalue Problems and Linear Systems of Equations for Accelerator Modeling [R] . Golub, G., Ko, K. 2009

机译：求解大规模稀疏特征值问题和加速度建模的线性方程组

Comment on “Harnessing the Cloud for Securely Outsourcing Large-Scale Systems of Linear Equations”

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