›› 2013,Vol. 28 ›› Issue (1): 152-158.doi: 10.1007/s11390-013-1319-3

• Special Section on Selected Paper from NPC 2011 • 上一篇    下一篇

恶意敌手模型下的安全点乘协议

Bo Yang1 (杨波), Yong Yu2 (禹勇), and Chung-Huang Yang3 (杨中皇)   

  • 收稿日期:2011-10-11 修回日期:2012-04-05 出版日期:2013-01-05 发布日期:2013-01-05
  • 基金资助:

    This work was supported by the National Natural Science Foundation of China under Grant Nos. 60973134, 61173164, 61003232, and the Natural Science Foundation of Guangdong Province of China under Grant No. 10351806001000000.

A Secure Scalar Product Protocol Against Malicious Adversaries

Bo Yang1 (杨波), Yong Yu2 (禹勇), and Chung-Huang Yang3 (杨中皇)   

  1. 1. School of Computer Science, Shaanxi Normal University, Xi’an 710062, China;
    2. School of Computer Science and Engineering, University of Electronic Science and Technology of China Chengdu 610054, China;
    3. Graduate Institute of Information and Computer Education, National Kaohsiung Normal University, Taiwan, China
  • Received:2011-10-11 Revised:2012-04-05 Online:2013-01-05 Published:2013-01-05
  • Supported by:

    This work was supported by the National Natural Science Foundation of China under Grant Nos. 60973134, 61173164, 61003232, and the Natural Science Foundation of Guangdong Province of China under Grant No. 10351806001000000.

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安全的点乘协议是一类特定的安全多方计算问题,其目的是参加计算的两个用户,根据各自掌握的秘密向量,联合起来计算向量的点乘,但都不将自己的秘密信息暴露给对方.安全的点乘协议已在保留隐私的数据挖掘、保留隐私的协同统计分析、保留隐私的几何计算中得到广泛应用.本文给出了在恶意敌手模型下的一个有效的安全点乘协议,协议基于两个基本工具,一是离散对数的知识证明,二是可验证的加密.由于避免使用了效率极低的分割-选择法,我们的方案比现有的方案有更高的效率.

Abstract: A secure scalar product protocol is a type of specific secure multi-party computation problem. Using this kind of protocol, two involved parties are able to jointly compute the scalar product of their private vectors, but no party will reveal any information about his/her private vector to another one. The secure scalar product protocol is of great importance in many privacy-preserving applications such as privacy-preserving data mining, privacy-preserving cooperative statistical analysis, and privacy-preserving geometry computation. In this paper, we give an efficient and secure scalar product protocol in the presence of malicious adversaries based on two important tools: the proof of knowledge of a discrete logarithm and the verifiable encryption. The security of the new protocol is proved under the standard simulation-based definitions. Compared with the existing schemes, our scheme offers higher efficiency because of avoiding inefficient cut-and-choose proofs.

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