Skip to main content
SpringerLink
Log in

Attacking Traitor Tracing Schemes Using History Recording and Abrupt Decoders

  • Conference paper
Information Security (ISC 2011)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 7001))

Included in the following conference series:

  • 2116 Accesses

Abstract

In ACM-DRM 2001, Kiayias and Yung [19] introduced a classification of pirate decoders in the context of traitor tracing that put forth traceability against history recording and abrupt pirate decoders. History recording pirate decoders are able to maintain state during the traitor tracing process while abrupt decoders can terminate the tracing operation at will based on the value of a “React” predicate. Beyond this original work, subsequently a number of other works tackled the problem of designing traitor tracing schemes against such decoders but with very limited success.

In this work, we present a new attack that can be mounted by abrupt and resettable decoders. Our attack defeats the tracing algorithm that was presented in [19] (which would continue to hold only for deterministic pirate decoders). Thus we show that contrary to what is currently believed there do not exist any known tracing procedures against abrupt decoders for general plaintext distributions. We also describe an attack that can be mounted by history recording (and available) decoders.

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. Boneh, D., Franklin, M.: An Efficient Public-Key Traitor Tracing Scheme. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 338–353. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  2. Boneh, D., Naor, M.: Traitor tracing with constant size ciphertext. In: ACM Conference on Computer and Communications Security, pp. 501–510 (2008)

    Google Scholar 

  3. Boneh, D., Shaw, J.: Collusion-Secure Fingerprinting for Digital Data. IEEE Transactions on Information Theory 44(5), 1897–1905 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  4. Boneh, D., Sahai, A., Waters, B.: Fully Collusion Resistant Traitor Tracing with Short Ciphertexts and Private Keys. In: Vaudenay, S. (ed.) EUROCRYPT 2006. LNCS, vol. 4004, pp. 573–592. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  5. Boneh, D., Waters, B.: A fully collusion resistant broadcast, trace, and revoke system. In: ACM Conference on Computer and Communications Security 2006, pp. 211–220 (2006)

    Google Scholar 

  6. Chor, B., Fiat, A., Naor, M.: Tracing Traitors. In: Desmedt, Y.G. (ed.) CRYPTO 1994. LNCS, vol. 839, pp. 257–270. Springer, Heidelberg (1994)

    Google Scholar 

  7. Cox, I.J., Kilian, J., Leighton, F.T., Shamoon, T.: Secure spread spectrum watermarking for multimedia. IEEE Transactions on Image Processing 6(12), 1673–1687 (1997)

    Article  Google Scholar 

  8. Chabanne, H., Hieu Phan, D., Pointcheval, D.: Public Traceability in Traitor Tracing Schemes. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 542–558. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  9. Cramer, R., Shoup, V.: Universal Hash Proofs and a Paradigm for Adaptive Chosen Ciphertext Secure Public-Key Encryption. In: Knudsen, L.R. (ed.) EUROCRYPT 2002. LNCS, vol. 2332, pp. 45–64. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  10. Dodis, Y., Fazio, N., Kiayias, A., Yung, M.: Scalable public-key tracing and revoking. In: Proceedings of the Twenty-Second ACM Symposium on Principles of Distributed Computing (PODC 2003), Boston, Massachusetts, July 13-16 (2003)

    Google Scholar 

  11. Furukawa, J., Attrapadung, N.: Fully Collusion Resistant Black-Box Traitor Revocable Broadcast Encryption with Short Private Keys. In: Arge, L., Cachin, C., Jurdziński, T., Tarlecki, A. (eds.) ICALP 2007. LNCS, vol. 4596, pp. 496–508. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  12. Fiat, A., Naor, M.: Broadcast Encryption. In: Stinson, D.R. (ed.) CRYPTO 1993. LNCS, vol. 773, pp. 480–491. Springer, Heidelberg (1994)

    Chapter  Google Scholar 

  13. Fiat, A., Tassa, T.: Dynamic Traitor Tracing. Journal of Cryptology 4(3), 211–223 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  14. Gafni, E., Staddon, J., Lisa Yin, Y.: Efficient Methods for Integrating Traceability and Broadcast Encryption. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 372–387. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  15. Kurosawa, K., Desmedt, Y.G.: Optimum Traitor Tracing and Asymmetric Schemes. In: Nyberg, K. (ed.) EUROCRYPT 1998. LNCS, vol. 1403, pp. 145–157. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  16. Kiayias, A., Pehlivanoglu, S.: On the security of a public-key traitor tracing scheme with sublinear ciphertext size. In: Digital Rights Management Workshop 2009, pp. 1–10 (2009)

    Google Scholar 

  17. Kiayias, A., Pehlivanoglu, S.: Improving the Round Complexity of Traitor Tracing Schemes. In: Zhou, J., Yung, M. (eds.) ACNS 2010. LNCS, vol. 6123, pp. 273–290. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  18. Kiayias, A., Yung, M.: Self Protecting Pirates and Black-Box Traitor Tracing. In: Kilian, J. (ed.) CRYPTO 2001. LNCS, vol. 2139, pp. 63–79. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  19. Kiayias, A., Yung, M.: On Crafty Pirates and Foxy Tracers. In: Sander, T. (ed.) DRM 2001. LNCS, vol. 2320, pp. 22–39. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  20. Lee, M., Ma, D., Seo, M.: Breaking Two k-Resilient Traitor Tracing Schemes with Sublinear Ciphertext Size. In: Abdalla, M., Pointcheval, D., Fouque, P.-A., Vergnaud, D. (eds.) ACNS 2009. LNCS, vol. 5536, pp. 238–252. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  21. Matsushita, T., Imai, H.: A Public-Key Black-Box Traitor Tracing Scheme with Sublinear Ciphertext Size Against Self-Defensive Pirates. In: Lee, P.J. (ed.) ASIACRYPT 2004. LNCS, vol. 3329, pp. 260–275. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  22. Naor, D., Naor, M., Lotspiech, J.B.: Revocation and Tracing Schemes for Stateless Receivers. In: Kilian, J. (ed.) CRYPTO 2001. LNCS, vol. 2139, pp. 41–62. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  23. Naor, D., Naor, M., Lotspiech, J.B.: Revocation and Tracing Schemes for Stateless Receivers, Electronic Colloquium on Computational Complexity (ECCC) 43 (2002)

    Google Scholar 

  24. Naor, M., Pinkas, B.: Threshold Traitor Tracing. In: Krawczyk, H. (ed.) CRYPTO 1998. LNCS, vol. 1462, pp. 502–517. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  25. Hieu Phan, D., Safavi-Naini, R., Tonien, D.: Generic Construction of Hybrid Public Key Traitor Tracing with Full- Public-Traceability, pp. 264–275

    Google Scholar 

  26. Staddon, J.N., Stinson, D.R., Wei, R.: Combinatorial Properties of Frameproof and Traceability Codes. IEEE Transactions on Information Theory 47(3), 1042–1049 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  27. Safavi-Naini, R., Wang, Y.: Sequential Traitor Tracing. In: Bellare, M. (ed.) CRYPTO 2000. LNCS, vol. 1880, pp. 316–332. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  28. Safavi-Naini, R., Wang, Y.: Traitor Tracing for Shortened and Corrupted Fingerprints. In: Feigenbaum, J. (ed.) DRM 2002. LNCS, vol. 2696, pp. 81–100. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Computer Science and Engineering, University of Connecticut, Storrs, CT, USA

    Aggelos Kiayias

  2. Computer Science and Engineering, Zirve University, Turkey

    Serdar Pehlivanoglu

Authors
  1. Aggelos Kiayias
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Serdar Pehlivanoglu
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, Shanghai Jiao Tong University, 800 Dongchuan Road, 200240, Min Hang Shanghai, China

    Xuejia Lai

  2. Cryptography and Security Department, Institute for Infocomm Research, Singapore

    Jianying Zhou

  3. Key Laboratory of Computer Networks and Information, Security Xidian University, 2 South Taibai Road, Xi’an, 710071, Shaanxi, China

    Hui Li

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kiayias, A., Pehlivanoglu, S. (2011). Attacking Traitor Tracing Schemes Using History Recording and Abrupt Decoders. In: Lai, X., Zhou, J., Li, H. (eds) Information Security. ISC 2011. Lecture Notes in Computer Science, vol 7001. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24861-0_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-24861-0_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24860-3

  • Online ISBN: 978-3-642-24861-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation