Abstract
The objective of the private scalar product protocol is that the participants obtain the scalar product of the private vectors of all parties without disclosure of all the private vectors. Private scalar product protocol is an important fundamental protocol in secure multi-party computation, and it is widely used in privacy-preserving scientific computation, statistical analysis and data mining. Up to now several private scalar protocols have been proposed in order to meet the need for more efficient and more practical solutions. However it seems that these efforts are unsuccessful from the security point of view. In this paper we show that two fast private scalar product protocols, which were recently proposed as very efficient secure protocols, are insecure.
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References
Amirbekyan, A., Estivill-Castro, V.: A new efficient privacy-preserving scalar product protocol. In: The 6th Australian Data Mining Conference (AusDM 2007), pp. 205–210 (2007)
Atallah, M.J., Du, W.: Secure Multi-Party Computational Geometry. In: Dehne, F., Sack, J.-R., Tamassia, R. (eds.) WADS 2001. LNCS, vol. 2125, pp. 165–179. Springer, Heidelberg (2001)
Brassard, G., Crépeau, C., Robert, J.M.: All-or-Nothing Disclosure of Secrets. In: Odlyzko, A.M. (ed.) CRYPTO 1986. LNCS, vol. 263, pp. 234–238. Springer, Heidelberg (1987)
Clifton, C., Kantarcioglu, M., Lin, X., Vaida, J., Zhu, M.: Tools for privacy preserving distributed data mining. SIGKDD Explorations 4(2), 28–34 (2003)
Damgård, I., Jurik, M.: A Generalisation, a Simplification and some Applications of Paillier’s Probabilistic Public-Key System. In: Kim, K.-C. (ed.) PKC 2001. LNCS, vol. 1992, pp. 119–136. Springer, Heidelberg (2001)
Du, W., Atallah, M.: Privacy-preserving statistical analysis. In: Proceedings of the 17th Annual Computer Security Applications Conference, pp. 102–110 (2001)
Du, W., Atallah, M.: Protocols for secure remote database access with approximate matching, CERIAS Tech Report 2001-02, Department of Computer Sciences, Purdue University (2001)
Gentry, C.: Fully Homomorphic Encryption Using Ideal Lattices. In: The 41st ACM Symposium on Theory of Computing, STOC (2009)
Goethals, B., Laur, S., Lipmaa, H., Mielikäinen, T.: On Private Scalar Product Computation for Privacy-Preserving Data Mining. In: Park, C.-S., Chee, S. (eds.) ICISC 2004. LNCS, vol. 3506, pp. 104–120. Springer, Heidelberg (2005)
Goldreich, O.: Secure Multi-Party Computation, Final Draft Version 1.4 (2002), http://www.wisdom.weizmann.ac.il/
Huang, Y., Lu, Z., Hu, H.: Privacy preserving association rule mining with scalar product. In: Proceedings of NLP-KE 2005, pp. 750–755. IEEE (2005)
Ioannidis, I., Grama, A., Atallah, M.: A secure protocol for computing dot-products in clustered and distributed environments. In: Proceedings of the International Conference on Parallel Processing, ICPP 2002 (2002)
Laur, S., Lipma, H.: On private similarity search protocols. In: Proceedings of 9th Nordic Workshop on Secure IT Systems (NordSec 2004), pp. 73–77 (2004)
Naor, M., Pinkas, B.: Oblivious transfer and polynomial evaluation. In: Proceedings of the 31st ACM Symposium on Theory of Computing, pp. 245–254 (1999)
Paillier, P.: Public-Key Cryptosystems Based on Composite Degree Residuosity Classes. In: Stern, J. (ed.) EUROCRYPT 1999. LNCS, vol. 1592, pp. 223–238. Springer, Heidelberg (1999)
Trincă, D., Rajasekaran, S.: Fast Cryptographic Multi-Party Protocols for Computing Boolean Scalar Products with Applications to Privacy-Preserving Association Rule Mining in Vertically Partitioned Data. In: Song, I.-Y., Eder, J., Nguyen, T.M. (eds.) DaWaK 2007. LNCS, vol. 4654, pp. 418–427. Springer, Heidelberg (2007)
Vaidya, J., Clifton, C.: Privacy preserving association rule mining in vertically partioned data. In: Proceedings of the 8th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 639–634 (2002)
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Kang, JS., Hong, D. (2011). On Fast Private Scalar Product Protocols. In: Kim, Th., Adeli, H., Fang, Wc., Villalba, J.G., Arnett, K.P., Khan, M.K. (eds) Security Technology. SecTech 2011. Communications in Computer and Information Science, vol 259. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27189-2_1
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DOI: https://doi.org/10.1007/978-3-642-27189-2_1
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