A new Lagrange solution to the privacy-preserving general geometric intersection problem

A new Lagrange solution to the privacy-preserving general geometric intersection problem
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隐私保护的一般几何相交问题的新拉格朗日解

DOI:
10.1016/j.jnca.2014.08.004
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发表时间:
2014-11
影响因子:
8.7
通讯作者:
Jiankun Hu
Jiankun Hu
中科院分区:
计算机科学2区
文献类型:
--
作者:
Jing Qin;Huawei Duan;Jiankun Hu

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Secure multi-party computation (SMC) is an important problem in cryptography. Existing solutions are mostly based on circuit evaluation protocols which are impractical. In this paper, a solution is proposed by abstracting the intersection problem and the judging private path problem into a general intersection problem, i.e., if two participants have a private curve and do not disclose their private curve data, how to solve two-free-plane–curve intersection problem in a cooperative environment. A systematic Lagrange multiplier method is proposed to combat the general intersection problem instead of focusing on normal curves case. The proposed systematic method can systematically deal with various intersection problems faced in practical applications. In addition, the proposed method can also solve the normal curves cases.
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