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

被引：3

作者：

Cao, Zhengjun ^{[1
]}

Liu, Lihua ^{[2
]}

机构：

[1] Shanghai Univ, Dept Math, Shangda Rd 99, Shanghai, Peoples R China

[2] Shanghai Maritime Univ, Dept Math, Haigang Ave 1550, Shanghai, Peoples R China

来源：

IEEE TRANSACTIONS ON PARALLEL AND DISTRIBUTED SYSTEMS | 2016年 / 27卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Cloud computing; linear equations; homomorphic encryption; Paillier's encryption;

D O I：

10.1109/TPDS.2016.2531669

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We remark that the Wang et al.'s scheme [IEEE Transanction Parallel Distributed Systems, 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 R (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).

引用

页码：1551 / 1552

页数：2