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Journal of Computer Science and Technology

, Volume 20, Issue 2, pp 258–263 | Cite as

Secure Two-Party Computational Geometry

  • Shun-Dong LiEmail author
  • Yi-Qi Dai
Article

Abstract

Secure Multi-party Computation has been a research focus in international cryptographic community in recent years. In this paper the authors investigate how some computational geometric problems could be solved in a cooperative environment, where two parties need to solve a geometric problem based on their joint data, but neither wants to disclose its private data to the other party. These problems are the distance between two private points, the relation between a private point and a circle area, the relation between a private point and an ellipse area and the shortest distance between two point sets. The paper gives solutions to these specific geometric problems, and in doing so a building block is developed, the protocol for the distance between two private points, that is also useful in the solutions to other geometric problems and combinatorial problems.

Keywords

secure multi-party computation oblivious transfer millionaire problem secure computation geometry protocol 

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Copyright information

© Springer Science + Business Media, Inc. 2005

Authors and Affiliations

  1. 1.Department of Computer Science and TechnologyTsinghua UniversityBeijingP.R. China

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