Advertisement

Building Oblivious Transfer on Channel Delays

  • Paolo Palmieri
  • Olivier Pereira
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6584)

Abstract

In the information-theoretic setting, where adversaries have unlimited computational power, the fundamental cryptographic primitive Oblivious Transfer (OT) cannot be securely achieved if the parties are communicating over a clear channel. To preserve secrecy and security, the players have to rely on noise in the communication. Noisy channels are therefore a useful tool to model noise behavior and build protocols implementing OT. This paper explores a source of errors that is inherently present in practically any transmission medium, but has been scarcely studied in this context: delays in the communication.

In order to have a model for the delays that is both general and comparable to the channels usually used for OT – such as the Binary Symmetric Channel (BSC) – we introduce a new noisy channel, the Binary Discrete-time Delaying Channel (BDDC). We show that such a channel realistically reproduces real-life communication scenarios where delays are hard to predict and we propose a protocol for achieving oblivious transfer over the BDDC. We analyze the security of our construction in the semi-honest setting, showing that our realization of OT substantially decreases the protocol sensitivity to the user’s knowledge of the channel compared to solutions relying on other channel properties, and is very efficient for wide ranges of delay probabilities. The flexibility and generality of the model opens the way for future implementation in media where delays are a fundamental characteristic.

Keywords

Oblivious transfer secure multi-party computation information theoretic security cryptography on noisy channels 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Bellardo, J., Savage, S.: Measuring packet reordering. In: Internet Measurement Workshop, pp. 97–105. ACM, New York (2002)Google Scholar
  2. 2.
    Chaum, D., Damgård, I., van de Graaf, J.: Multiparty computations ensuring privacy of each party’s input and correctness of the result. In: Pomerance [13], pp. 87–119Google Scholar
  3. 3.
    Crépeau, C.: Equivalence between two flavours of oblivious transfers. In: Pomerance [13], pp. 350–354Google Scholar
  4. 4.
    Crépeau, C.: Efficient cryptographic protocols based on noisy channels. In: Fumy, W. (ed.) EUROCRYPT 1997. LNCS, vol. 1233, pp. 306–317. Springer, Heidelberg (1997)CrossRefGoogle Scholar
  5. 5.
    Crépeau, C., Kilian, J.: Achieving oblivious transfer using weakened security assumptions (extended abstract). In: FOCS, pp. 42–52. IEEE, Los Alamitos (1988)Google Scholar
  6. 6.
    Crépeau, C., Morozov, K., Wolf, S.: Efficient unconditional oblivious transfer from almost any noisy channel. In: Blundo, C., Cimato, S. (eds.) SCN 2004. LNCS, vol. 3352, pp. 47–59. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  7. 7.
    Damgård, I., Fehr, S., Morozov, K., Salvail, L.: Unfair noisy channels and oblivious transfer. In: Naor, M. (ed.) TCC 2004. LNCS, vol. 2951, pp. 355–373. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  8. 8.
    Damgård, I.B., Kilian, J., Salvail, L.: On the (Im)possibility of basing oblivious transfer and bit commitment on weakened security assumptions. In: Stern, J. (ed.) EUROCRYPT 1999. LNCS, vol. 1592, pp. 56–73. Springer, Heidelberg (1999)CrossRefGoogle Scholar
  9. 9.
    Even, S., Goldreich, O., Lempel, A.: A randomized protocol for signing contracts. Commun. ACM 28(6), 637–647 (1985)MathSciNetCrossRefzbMATHGoogle Scholar
  10. 10.
    Kilian, J.: Founding cryptography on oblivious transfer. In: STOC, pp. 20–31. ACM, New York (1988)Google Scholar
  11. 11.
    Nascimento, A.C.A., Winter, A.: On the oblivious-transfer capacity of noisy resources. IEEE Transactions on Information Theory 54(6), 2572–2581 (2008)MathSciNetCrossRefzbMATHGoogle Scholar
  12. 12.
    Piratla, N.M., Jayasumana, A.P.: Reordering of packets due to multipath forwarding - an analysis. In: Proc. IEEE Int. Conf. on Communications (ICC 2006), pp. 28–36 (2006)Google Scholar
  13. 13.
    Pomerance, C. (ed.): CRYPTO 1987. LNCS, vol. 293. Springer, Heidelberg (1988)Google Scholar
  14. 14.
    Proakis, J.G.: Digital Communications, 4th edn. McGraw-Hill Science Engineering, New York (2000)zbMATHGoogle Scholar
  15. 15.
    Rabin, M.O.: How to exchange secrets by oblivious transfer. Technical Report TR-81, Aiken Computation Laboratory, Harvard University (1981), manuscriptGoogle Scholar
  16. 16.
    Wullschleger, J.: Oblivious-transfer amplification. In: Naor, M. (ed.) EUROCRYPT 2007. LNCS, vol. 4515, pp. 555–572. Springer, Heidelberg (2007)CrossRefGoogle Scholar
  17. 17.
    Wullschleger, J.: Oblivious transfer from weak noisy channels. In: Reingold, O. (ed.) TCC 2009. LNCS, vol. 5444, pp. 332–349. Springer, Heidelberg (2009)CrossRefGoogle Scholar
  18. 18.
    Zhou, X.M., Van Mieghem, P.: Reordering of IP packets in internet. In: Barakat, C., Pratt, I. (eds.) PAM 2004. LNCS, vol. 3015, pp. 237–246. Springer, Heidelberg (2004)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Paolo Palmieri
    • 1
  • Olivier Pereira
    • 1
  1. 1.UCL Crypto GroupUniversité catholique de LouvainLouvain-la-NeuveBelgium

Personalised recommendations