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Single-Database Private Information Retrieval Schemes : Overview, Performance Study, and Usage with Statistical Databases

  • Carlos Aguilar Melchor
  • Yves Deswarte
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4302)

Abstract

This paper presents an overview of the current single-database private information retrieval (PIR) schemes and proposes to explore the usage of these protocols with statistical databases. The vicinity of this research field with the one of Oblivious Transfer, and the different performance measures used for the last few years have resulted in re-discoveries and contradictory comparisons of performance in different publications. The contribution of this paper is twofold. First, we present the different schemes through the innovations they have brought to this field of research, which gives a global view of the evolution since the first of these schemes was presented by Kushilevitz and Ostrovsky in 1997. We know of no other survey of the current PIR protocols. We also compare the most representative of these schemes with a single set of communication performance measures. When compared to the usage of global communication cost as a single measure, we assert that this set simplifies the evaluation of the cost of using PIR and reveals the best adapted scheme to each situation. We conclude this overview and performance study by introducing some important issues resulting from PIR usage with statistical databases and highlighting some directions for further research.

Keywords

Communication Cost Setup Cost Statistical Database Quadratic Residue Oblivious Transfer 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Chor, B., Goldreich, O., Kushilevitz, E., Sudan, M.: Private Information Retrieval. In: FOCS: IEEE Symposium on Foundations of Computer Science (FOCS), pp. 41–50 (1995)Google Scholar
  2. 2.
    Stern, J.P.: A New Efficient All-Or-Nothing Disclosure of Secrets Protocol. In: Ohta, K., Pei, D. (eds.) ASIACRYPT 1998. LNCS, vol. 1514, pp. 357–371. Springer, Heidelberg (1998)CrossRefGoogle Scholar
  3. 3.
    Mann, E.: Private Access to Distributed Information, Technion Master’s Thesis, Israel (2004)Google Scholar
  4. 4.
    Cachin, C., Micali, S., Stadler, M.: Computationally Private Information Retrieval with Polylogarithmic Communication. In: Stern, J. (ed.) EUROCRYPT 1999. LNCS, vol. 1592, pp. 402–414. Springer, Heidelberg (1999)Google Scholar
  5. 5.
    Chang, Y.C.: Single Database Private Information Retrieval with Logarithmic Communication. In: ACISP: Information Security and Privacy: Australasian Conference, pp. 50–61 (2004)Google Scholar
  6. 6.
    Lipmaa, H.: An Oblivious Transfer Protocol with Log-Squared Communication. In: Zhou, J., López, J., Deng, R.H., Bao, F. (eds.) ISC 2005. LNCS, vol. 3650, pp. 314–328. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  7. 7.
    Gentry, C., Ramzan, Z.: Single-Database Private Information Retrieval with Constant Communication Rate. In: Caires, L., Italiano, G.F., Monteiro, L., Palamidessi, C., Yung, M. (eds.) ICALP 2005. LNCS, vol. 3580, pp. 803–815. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  8. 8.
    Kushilevitz, E., Ostrovsky, R.: Replication Is Not Needed: Single Database, Computationally-Private Information Retrieval (extended abstract). In: FOCS: IEEE Symposium on Foundations of Computer Science (FOCS), pp. 364–373 (1997)Google Scholar
  9. 9.
    Damgård, I., Jurik, M.: A Length-Flexible Threshold Cryptosystem with Applications. In: Safavi-Naini, R., Seberry, J. (eds.) ACISP 2003. LNCS, vol. 2727, pp. 350–364. Springer, Heidelberg (2003)CrossRefGoogle Scholar
  10. 10.
    Traub, J.F., Yemini, Y., Wozniakowski, H.: The statistical security of a statistical database. ACM Trans. Database Syst. 9(4), 672–679 (1984)CrossRefGoogle Scholar
  11. 11.
    Beck, L.L.: A security machanism for statistical database. ACM Trans. Database Syst. 5(3), 316–338 (1980)MATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Carlos Aguilar Melchor
    • 1
  • Yves Deswarte
    • 1
  1. 1.LAAS-CNRSUniversité de Toulouse 

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