Skip to main content
SpringerLink
Log in

5PM: Secure Pattern Matching

  • Conference paper
Book cover Security and Cryptography for Networks (SCN 2012)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 7485))

Included in the following conference series:

Abstract

In this paper we consider the problem of secure pattern matching that allows single character wildcards and substring matching in the malicious (stand-alone) setting. Our protocol, called 5PM, is executed between two parties: Server, holding a text of length n, and Client, holding a pattern of length m to be matched against the text, where our notion of matching is more general and includes non-binary alphabets, non-binary Hamming distance and non-binary substring matching.

5PM is the first protocol with communication complexity sub-linear in circuit size to compute non-binary substring matching in the malicious model (general MPC has communication complexity which is at least linear in the circuit size). 5PM is also the first sublinear protocol to compute non-binary Hamming distance in the malicious model. Additionally, in the honest-but-curious (semi-honest) model, 5PM is asymptotically more efficient than the best known scheme when amortized for applications that require single charcter wildcards or substring pattern matching. 5PM in the malicious model requires O((m + n)k 2) bandwidth and O(m + n) encryptions, where m is the pattern length and n is the text length. Further, 5PM can hide pattern size with no asymptotic additional costs in either computation or bandwidth. Finally, 5PM requires only 2 rounds of communication in the honest-but-curious model and 8 rounds in the malicious model. Our techniques reduce pattern matching and generalized Hamming distance problem to a novel linear algebra formulation that allows for generic solutions based on any additively homomorphic encryption. We believe our efficient algebraic techniques are of independent interest.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Al-Khalifa, S., Jagadish, H.V., Patel, J.M., Wu, Y., Koudas, N., Srivastava, D.: Structural joins: A primitive for efficient xml query pattern matching. In: ICDE 2002, pp. 141–152 (2002)

    Google Scholar 

  2. Namjoshi, K., Narlikar, G.: Robust and fast pattern matching for intrusion detection. In: INFOCOM 2010, pp. 740–748. IEEE Press (2010)

    Google Scholar 

  3. Osadchy, M., Pinkas, B., Jarrous, A., Moskovich, B.: Scifi - a system for secure face identification. In: IEEE S&P 2010, pp. 239–254. IEEE Computer Society (2010)

    Google Scholar 

  4. Tumeo, A., Villa, O.: Accelerating dna analysis applications on gpu clusters. In: SASP 2010, pp. 71–76. IEEE Computer Society (2010)

    Google Scholar 

  5. Betel, D., Hogue, C.: Kangaroo - a pattern-matching program for biological sequences. BMC Bioinformatics 3(1), 20 (2002)

    Article  Google Scholar 

  6. Tsai, T.H.: Average case analysis of the Boyer-Moore algorithm. Random Struct. Algorithms 28, 481–498 (2006)

    Article  MATH  Google Scholar 

  7. Aho, A.V., Corasick, M.J.: Efficient string matching: an aid to bibliographic search. Commun. ACM 18(6), 333–340 (1975)

    Article  MathSciNet  MATH  Google Scholar 

  8. Knuth, D.E., Morris Jr., J.H., Pratt, V.R.: Fast pattern matching in strings. SIAM J. Comput. 6(2), 323–350 (1977)

    Article  MathSciNet  MATH  Google Scholar 

  9. Karp, R.M., Rabin, M.O.: Efficient randomized pattern-matching algorithms. IBM J. Res. Dev. 31, 249–260 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  10. Baldi, P., Baronio, R., De Cristofaro, E., Gasti, P., Tsudik, G.: Countering gattaca: efficient and secure testing of fully-sequenced human genomes. In: CCS 2011, pp. 691–702. ACM (2011)

    Google Scholar 

  11. Katz, J., Malka, L.: Secure text processing with applications to private DNA matching. In: CCS 2010, pp. 485–492. ACM (2010)

    Google Scholar 

  12. Troncoso-Pastoriza, J.R., Katzenbeisser, S., Celik, M.: Privacy preserving error resilient DNA searching through oblivious automata. In: CCS 2007, pp. 519–528. ACM (2007)

    Google Scholar 

  13. Freedman, M.J., Ishai, Y., Pinkas, B., Reingold, O.: Keyword Search and Oblivious Pseudorandom Functions. In: Kilian, J. (ed.) TCC 2005. LNCS, vol. 3378, pp. 303–324. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  14. Vergnaud, D.: Efficient and Secure Generalized Pattern Matching via Fast Fourier Transform. In: Nitaj, A., Pointcheval, D. (eds.) AFRICACRYPT 2011. LNCS, vol. 6737, pp. 41–58. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  15. Jarrous, A., Pinkas, B.: Secure Hamming Distance Based Computation and Its Applications. In: Abdalla, M., Pointcheval, D., Fouque, P.-A., Vergnaud, D. (eds.) ACNS 2009. LNCS, vol. 5536, pp. 107–124. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  16. Hazay, C., Toft, T.: Computationally Secure Pattern Matching in the Presence of Malicious Adversaries. In: Abe, M. (ed.) ASIACRYPT 2010. LNCS, vol. 6477, pp. 195–212. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  17. Kilian, J.: A note on efficient zero-knowledge proofs and arguments (extended abstract). In: STOC 1992, pp. 723–732. ACM (1992)

    Google Scholar 

  18. Micali, S.: Cs proofs. In: FOCS 1994, pp. 436–453. IEEE Computer Society (1994)

    Google Scholar 

  19. Ben-Sasson, E., Goldreich, O., Harsha, P., Sudan, M., Vadhan, S.P.: Robust PCPs of proximity, shorter PCPs, and applications to coding. SIAM J. Comput. 36(4), 889–974 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  20. Frikken, K.B.: Practical Private DNA String Searching and Matching through Efficient Oblivious Automata Evaluation. In: Gudes, E., Vaidya, J. (eds.) Data and Applications Security XXIII. LNCS, vol. 5645, pp. 81–94. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  21. Hazay, C., Lindell, Y.: Efficient Protocols for Set Intersection and Pattern Matching with Security Against Malicious and Covert Adversaries. In: Canetti, R. (ed.) TCC 2008. LNCS, vol. 4948, pp. 155–175. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  22. Gennaro, R., Hazay, C., Sorensen, J.S.: Text Search Protocols with Simulation Based Security. In: Nguyen, P.Q., Pointcheval, D. (eds.) PKC 2010. LNCS, vol. 6056, pp. 332–350. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  23. Mohassel, P., Niksefat, S., Sadeghian, S., Sadeghiyan, B.: An efficient protocol for oblivious dfa evaluation and applications (2012)

    Google Scholar 

  24. Yao, A.C.C.: How to generate and exchange secrets. In: FOCS 1986, pp. 162–167. IEEE Computer Society (1986)

    Google Scholar 

  25. Goldreich, O., Micali, S., Wigderson, A.: How to play any mental game. In: STOC 1987, pp. 218–229. ACM (1987)

    Google Scholar 

  26. Ishai, Y., Prabhakaran, M., Sahai, A.: Founding Cryptography on Oblivious Transfer – Efficiently. In: Wagner, D. (ed.) CRYPTO 2008. LNCS, vol. 5157, pp. 572–591. Springer, Heidelberg (2008)

    Google Scholar 

  27. Damgård, I., Orlandi, C.: Multiparty Computation for Dishonest Majority: From Passive to Active Security at Low Cost. In: Rabin, T. (ed.) CRYPTO 2010. LNCS, vol. 6223, pp. 558–576. Springer, Heidelberg (2010)

    Google Scholar 

  28. Gentry, C.: Fully homomorphic encryption using ideal lattices. In: STOC 2009, pp. 169–178. ACM (2009)

    Google Scholar 

  29. Hoffmann, H., Howard, M.D., Daily, M.J.: Fast pattern matching with time-delay neural networks. In: IJCNN 2011, pp. 2424–2429 (2011)

    Google Scholar 

  30. Cramer, R., Gennaro, R., Schoenmakers, B.: A Secure and Optimally Efficient Multi-authority Election Scheme. In: Fumy, W. (ed.) EUROCRYPT 1997. LNCS, vol. 1233, pp. 103–118. Springer, Heidelberg (1997)

    Google Scholar 

  31. Desmedt, Y.G., Frankel, Y.: Threshold Cryptosystems. In: Brassard, G. (ed.) CRYPTO 1989. LNCS, vol. 435, pp. 307–315. Springer, Heidelberg (1990)

    Google Scholar 

  32. Brandt, F.: Efficient Cryptographic Protocol Design Based on Distributed El Gamal Encryption. In: Won, D., Kim, S. (eds.) ICISC 2005. LNCS, vol. 3935, pp. 32–47. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  33. Goldreich, O.: Foundations of Cryptography: Basic Tools. Cambridge University Press, New York (2000)

    Google Scholar 

  34. 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)

    Google Scholar 

  35. Damgård, I.: On Σ protocols, www.daimi.au.dk/~ivan/Sigma.pdf

  36. 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)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. UCLA, Los Angeles, CA, USA, 90095

    Joshua Baron & Rafail Ostrovsky

  2. HRL Laboratories, LLC, Malibu, CA, USA, 90265

    Karim El Defrawy, Kirill Minkovich & Eric Tressler

Authors
  1. Joshua Baron
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Karim El Defrawy
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Kirill Minkovich
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Rafail Ostrovsky
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Eric Tressler
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Dipartimento di Informatica, Università di Salerno, via Ponte don Melillo, 84084, Fisciano, SA, Italy

    Ivan Visconti  & Roberto De Prisco  & 

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Baron, J., El Defrawy, K., Minkovich, K., Ostrovsky, R., Tressler, E. (2012). 5PM: Secure Pattern Matching. In: Visconti, I., De Prisco, R. (eds) Security and Cryptography for Networks. SCN 2012. Lecture Notes in Computer Science, vol 7485. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32928-9_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-32928-9_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-32927-2

  • Online ISBN: 978-3-642-32928-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation