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New Security Paradigms Workshop

Secure multi-party computation problems and their applications

Wenliang Kevin Du, Mikhail J. Atallah

Published Jan 1, 2001• 18 citations
Publisher
DOI
10.1145/508172.508174

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Wenliang Du has been studied some secure two-party scientific computation problems [4] : Linear systems of equations problems, Linear least squares problems and Linear programming problems. And he point to: (1)There are some other interesting scientific computation problems that need to be studied, such as how secure compute eigenvalues of matrix. (2)Extension to the secure multi-party computation problem, and thought extension secure two-party computation protocols to the secure multi-party computation protocols is not trivial. In this paper, authors disscuss two scientific computation problems: eigenvalues of matrix in secure multi-party computation situation, and give some secure multi-party scientific computation protocols.
The secure multi-party comparing problem is generalized from the millionaires' problem,which is used to get whether the multi-party's secret inputs are all equal and if not,the number of users whose inputs are same as an indicated user's.Based on the F function and semantic addition homomorphic encryption,a protocol of secure multi-party comparing is proposed.The correctness,security and efficiency of the protocol are analyzed.This protocol can be used in many aspects of secure multi-party computation.