Abstract
In this paper, we focus on the specific problems of Private Matching, Set Disjointness and Cardinality of Set Intersection in information theoretic settings. Specifically, we give perfectly secure protocols for the above problems in n party settings, tolerating a computationally unbounded semi-honest adversary, who can passively corrupt at most t < n/2 parties. To the best of our knowledge, these are the first such information theoretically secure protocols in a multi-party setting for all the three problems. Previous solutions for Distributed Private Matching and Cardinality of Set Intersection were cryptographically secure and the previous Set Disjointness solution, though information theoretically secure, is in a two party setting. We also propose a new model for Distributed Private matching which is relevant in a multi-party setting.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Beerliová-Trubíniová, Z., Hirt, M.: Perfectly-secure mpc with linear communication complexity. In: TCC, pp. 213–230 (2008)
Ben-Or, M., Goldwasser, S., Wigderson, A.: Completeness theorems for non-cryptographic fault-tolerant distributed computation (extended abstract). In: STOC, pp. 1–10 (1988)
Freedman, M.J., Nissim, K., Pinkas, B.: Efficient private matching and set intersection. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 1–19. Springer, Heidelberg (2004)
Gennaro, R., Rabin, M.O., Rabin, T.: Simplified vss and fact-track multiparty computations with applications to threshold cryptography. In: PODC, pp. 101–111 (1998)
Hohenberger, S., Weis, S.A.: Honest-verifier private disjointness testing without random oracles. In: Danezis, G., Golle, P. (eds.) PET 2006. LNCS, vol. 4258, pp. 277–294. Springer, Heidelberg (2006)
Kiayias, A., Mitrofanova, A.: Testing disjointness of private datasets. In: S. Patrick, A., Yung, M. (eds.) FC 2005. LNCS, vol. 3570, pp. 109–124. Springer, Heidelberg (2005)
Kiayias, A., Mitrofanova, A.: Syntax-driven private evaluation of quantified membership queries. In: Zhou, J., Yung, M., Bao, F. (eds.) ACNS 2006. LNCS, vol. 3989, pp. 470–485. Springer, Heidelberg (2006)
Kissner, L., Song, D.X.: Privacy-preserving set operations. In: Shoup, V. (ed.) CRYPTO 2005. LNCS, vol. 3621, pp. 241–257. Springer, Heidelberg (2005)
Li, R., Wu, C.: An unconditionally secure protocol for multi-party set intersection. In: Katz, J., Yung, M. (eds.) ACNS 2007. LNCS, vol. 4521, pp. 226–236. Springer, Heidelberg (2007)
Natan, R.B.: Implementing Database Security and Auditing. Elsevier, Amsterdam (2005)
Nishide, T., Ohta, K.: Multiparty computation for interval, equality, and comparison without bit-decomposition protocol. In: Okamoto, T., Wang, X. (eds.) PKC 2007. LNCS, vol. 4450, pp. 343–360. Springer, Heidelberg (2007)
Patra, A., Choudhary, A., Rangan, C.P.: Information theoretically secure multi party set intersection re-visited. Cryptology ePrint Archive, Report 2009/116 (2009), http://eprint.iacr.org/
Pedersen, T.P.: Non-interactive and information-theoretic secure verifiable secret sharing. In: Feigenbaum, J. (ed.) CRYPTO 1991. LNCS, vol. 576, pp. 129–140. Springer, Heidelberg (1992)
Shamir, A.: How to share a secret. Communications of the ACM 22(11), 612–613 (1979)
Vaidya, J., Clifton, C.: Secure set intersection cardinality with application to association rule mining. Journal of Computer Security 13(4), 593–622 (2005)
Ye, Q., Wang, H., Pieprzyk, J.: Distributed private matching and set operations. In: Chen, L., Mu, Y., Susilo, W. (eds.) ISPEC 2008. LNCS, vol. 4991, pp. 347–360. Springer, Heidelberg (2008)
Ye, Q., Wang, H., Pieprzyk, J., Zhang, X.-M.: Efficient disjointness tests for private datasets. In: Mu, Y., Susilo, W., Seberry, J. (eds.) ACISP 2008. LNCS, vol. 5107, pp. 155–169. Springer, Heidelberg (2008)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Sathya Narayanan, G., Aishwarya, T., Agrawal, A., Patra, A., Choudhary, A., Pandu Rangan, C. (2009). Multi Party Distributed Private Matching, Set Disjointness and Cardinality of Set Intersection with Information Theoretic Security. In: Garay, J.A., Miyaji, A., Otsuka, A. (eds) Cryptology and Network Security. CANS 2009. Lecture Notes in Computer Science, vol 5888. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10433-6_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-10433-6_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-10432-9
Online ISBN: 978-3-642-10433-6
eBook Packages: Computer ScienceComputer Science (R0)