Skip to main content
SpringerLink
Log in

A Generic View on Trace-and-Revoke Broadcast Encryption Schemes

  • Conference paper
Topics in Cryptology – CT-RSA 2014 (CT-RSA 2014)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 8366))

Included in the following conference series:

Abstract

At Eurocrypt 2011, Wee presented a generalization of threshold public key encryption, threshold signatures, and revocation schemes arising from threshold extractable hash proof systems. In particular, he gave instances of his generic revocation scheme from the DDH assumption (which led to the Naor-Pinkas revocation scheme), and from the factoring assumption (which led to a new revocation scheme). We expand on Wee’s work in two directions:

(a) We propose threshold extractable hash proof instantiations from the “Extended Decisional Diffie-Hellman” (EDDH) assumption due to Hemenway and Ostrovsky (PKC 2012). This in particular yields EDDH-based variants of threshold public key encryption, threshold signatures, and revocation schemes. In detail, this yields a DCR-based revocation scheme.

(b) We show that our EDDH-based revocation scheme allows for a mild form of traitor tracing (and, thus, yields a new trace-and-revoke scheme). In particular, compared to Wee’s factoring-based scheme, our DCR-based scheme has the advantage that it allows to trace traitors.

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. Abdalla, M., Dent, A.W., Malone-Lee, J., Neven, G., Phan, D.H., Smart, N.P.: Identity-based traitor tracing. In: Okamoto, T., Wang, X. (eds.) PKC 2007. LNCS, vol. 4450, pp. 361–376. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  2. Agrawal, S., Boyen, X., Vaikuntanathan, V., Voulgaris, P., Wee, H.: Functional encryption for threshold functions (or fuzzy ibe) from lattices. In: Fischlin, M., Buchmann, J., Manulis, M. (eds.) PKC 2012. LNCS, vol. 7293, pp. 280–297. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  3. Barth, A., Boneh, D., Waters, B.: Privacy in encrypted content distribution using private broadcast encryption. In: Di Crescenzo, G., Rubin, A. (eds.) FC 2006. LNCS, vol. 4107, pp. 52–64. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  4. Billet, O., Phan, D.H.: Efficient traitor tracing from collusion secure codes. In: Safavi-Naini, R. (ed.) ICITS 2008. LNCS, vol. 5155, pp. 171–182. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  5. 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 

  6. Boneh, D., Naor, M.: Traitor tracing with constant size ciphertext. In: Ning, P., Syverson, P.F., Jha, S. (eds.) ACM CCS 2008, pp. 501–510. ACM Press (October 2008)

    Google Scholar 

  7. Boneh, D., Waters, B.: A fully collusion resistant broadcast, trace, and revoke system. In: Juels, A., Wright, R.N., De Capitani di Vimercati, S. (eds.) ACM CCS 2006, pp. 211–220. ACM Press (October/November 2006)

    Google Scholar 

  8. Boneh, D., Gentry, C., Waters, B.: Collusion resistant broadcast encryption with short ciphertexts and private keys. In: Shoup, V. (ed.) CRYPTO 2005. LNCS, vol. 3621, pp. 258–275. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  9. 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 

  10. Chabanne, H., Phan, D.H., 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 

  11. 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 

  12. Delerablée, C., Paillier, P., Pointcheval, D.: Fully collusion secure dynamic broadcast encryption with constant-size ciphertexts or decryption keys. In: Takagi, T., Okamoto, T., Okamoto, E., Okamoto, T. (eds.) Pairing 2007. LNCS, vol. 4575, pp. 39–59. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  13. Dodis, Y., Fazio, N.: Public key broadcast encryption for stateless receivers. In: Feigenbaum, J. (ed.) DRM 2002. LNCS, vol. 2696, pp. 61–80. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  14. Dodis, Y., Fazio, N.: Public key trace and revoke scheme secure against adaptive chosen ciphertext attack. In: Desmedt, Y.G. (ed.) PKC 2003. LNCS, vol. 2567, pp. 100–115. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  15. Dodis, Y., Fazio, N., Kiayias, A., Yung, M.: Scalable public-key tracing and revoking. Distributed Computing 17(4), 323–347 (2005)

    Article  MATH  Google Scholar 

  16. Fazio, N., Nicolosi, A., Phan, D.H.: Traitor tracing with optimal transmission rate. In: Garay, J.A., Lenstra, A.K., Mambo, M., Peralta, R. (eds.) ISC 2007. LNCS, vol. 4779, pp. 71–88. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  17. 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 

  18. Fiat, A., Tassa, T.: Dynamic traitor training. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 354–371. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  19. Gafni, E., Staddon, J., Yin, Y.L.: 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 

  20. Garay, J.A., Staddon, J., Wool, A.: Long-lived broadcast encryption. In: Bellare, M. (ed.) CRYPTO 2000. LNCS, vol. 1880, pp. 333–352. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  21. Gentry, C., Waters, B.: Adaptive security in broadcast encryption systems (with short ciphertexts). In: Joux, A. (ed.) EUROCRYPT 2009. LNCS, vol. 5479, pp. 171–188. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  22. Goodrich, M.T., Sun, J.Z., Tamassia, R.: Efficient tree-based revocation in groups of low-state devices. In: Franklin, M. (ed.) CRYPTO 2004. LNCS, vol. 3152, pp. 511–527. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  23. Halevy, D., Shamir, A.: The LSD broadcast encryption scheme. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 47–60. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  24. Hemenway, B., Ostrovsky, R.: Extended-ddh and lossy trapdoor functions. In: Fischlin, M., Buchmann, J., Manulis, M. (eds.) PKC 2012. LNCS, vol. 7293, pp. 627–643. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  25. Hofheinz, D., Striecks, C.: A generic view on trace-and-revoke broadcast encryption schemes. Cryptology ePrint Archive (2013)

    Google Scholar 

  26. Jin, H., Lotspiech, J.: Renewable traitor tracing: A trace-revoke-trace system for anonymous attack. In: Biskup, J., López, J. (eds.) ESORICS 2007. LNCS, vol. 4734, pp. 563–577. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  27. 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 

  28. 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 

  29. Kiayias, A., Yung, M.: Breaking and repairing asymmetric public-key traitor tracing. In: Feigenbaum, J. (ed.) DRM 2002. LNCS, vol. 2696, pp. 32–50. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  30. Kiayias, A., Yung, M.: Traitor tracing with constant transmission rate. In: Knudsen, L.R. (ed.) EUROCRYPT 2002. LNCS, vol. 2332, pp. 450–465. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  31. Kim, C.H., Hwang, Y.-H., Lee, P.J.: An efficient public key trace and revoke scheme secure against adaptive chosen ciphertext attack. In: Laih, C.-S. (ed.) ASIACRYPT 2003. LNCS, vol. 2894, pp. 359–373. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  32. Kurosawa, K., Desmedt, Y.: Optimum traitor tracing and asymmetric schemes. In: Nyberg, K. (ed.) EUROCRYPT 1998. LNCS, vol. 1403, pp. 145–157. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  33. Lewko, A.B., Sahai, A., Waters, B.: Revocation systems with very small private keys. In: 2010 IEEE Symposium on Security and Privacy, pp. 273–285. IEEE Computer Society Press (May 2010)

    Google Scholar 

  34. Libert, B., Paterson, K.G., Quaglia, E.A.: Anonymous broadcast encryption: Adaptive security and efficient constructions in the standard model. In: Fischlin, M., Buchmann, J., Manulis, M. (eds.) PKC 2012. LNCS, vol. 7293, pp. 206–224. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  35. 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 

  36. Naor, D., Naor, M., Lotspiech, J.: 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 

  37. 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 

  38. Naor, M., Pinkas, B.: Efficient trace and revoke schemes. In: Frankel, Y. (ed.) FC 2000. LNCS, vol. 1962, pp. 1–20. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  39. Pfitzmann, B.: Trials of traced traitors. In: Anderson, R. (ed.) IH 1996. LNCS, vol. 1174, pp. 49–64. Springer, Heidelberg (1996)

    Chapter  Google Scholar 

  40. Pfitzmann, B., Waidner, M.: Asymmetric fingerprinting for larger collusions. In: ACM CCS 1997, pp. 151–160. ACM Press (April 1997)

    Google Scholar 

  41. Phan, D.H., Pointcheval, D., Shahandashti, S.F., Strefler, M.: Adaptive cca broadcast encryption with constant-size secret keys and ciphertexts. Int. J. Inf. Sec. 12(4), 251–265 (2013)

    Article  Google Scholar 

  42. Phan, D.H., Pointcheval, D., Trinh, V.C.: Multi-channel broadcast encryption. In: Chen, K., Xie, Q., Qiu, W., Li, N., Tzeng, W.-G. (eds.) ASIACCS 2013, pp. 277–286. ACM Press (May 2013)

    Google Scholar 

  43. 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 

  44. Shoup, V.: Practical threshold signatures. In: Preneel, B. (ed.) EUROCRYPT 2000. LNCS, vol. 1807, pp. 207–220. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  45. Silverberg, A., Staddon, J., Walker, J.L.: Efficient traitor tracing algorithms using list decoding. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol. 2248, pp. 175–192. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  46. Sirvent, T.: Traitor tracing scheme with constant ciphertext rate against powerful pirates. In: Workshop on Coding and Cryptography (2007)

    Google Scholar 

  47. Stinson, D.R., Wei, R.: Key preassigned traceability schemes for broadcast encryption. In: Tavares, S., Meijer, H. (eds.) SAC 1998. LNCS, vol. 1556, pp. 144–156. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  48. Stinson, D.R., Wei, R.: Combinatorial properties and constructions of traceability schemes and frameproof codes. SIAM J. Discrete Math. 11(1), 41–53 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  49. Tonien, D., Safavi-Naini, R.: An efficient single-key pirates tracing scheme using cover-free families. In: Zhou, J., Yung, M., Bao, F. (eds.) ACNS 2006. LNCS, vol. 3989, pp. 82–97. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  50. Tzeng, W.-G., Tzeng, Z.-J.: A public-key traitor tracing scheme with revocation using dynamic shares. In: Kim, K. (ed.) PKC 2001. LNCS, vol. 1992, pp. 207–224. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  51. Watanabe, Y., Hanaoka, G., Imai, H.: Efficient asymmetric public-key traitor tracing without trusted agents. In: Naccache, D. (ed.) CT-RSA 2001. LNCS, vol. 2020, pp. 392–407. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  52. Wee, H.: Efficient chosen-ciphertext security via extractable hash proofs. In: Rabin, T. (ed.) CRYPTO 2010. LNCS, vol. 6223, pp. 314–332. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  53. Wee, H.: Threshold and revocation cryptosystems via extractable hash proofs. In: Paterson, K.G. (ed.) EUROCRYPT 2011. LNCS, vol. 6632, pp. 589–609. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  54. Yoo, E.S., Jho, N.-S., Cheon, J.H., Kim, M.-H.: Efficient broadcast encryption using multiple interpolation methods. In: Park, C.-S., Chee, S. (eds.) ICISC 2004. LNCS, vol. 3506, pp. 87–103. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Karlsruhe Institute of Technology, Karlsruhe, Germany

    Dennis Hofheinz & Christoph Striecks

Authors
  1. Dennis Hofheinz
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Christoph Striecks
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Microsoft Research, Redmond, WA, USA

    Josh Benaloh

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Hofheinz, D., Striecks, C. (2014). A Generic View on Trace-and-Revoke Broadcast Encryption Schemes. In: Benaloh, J. (eds) Topics in Cryptology – CT-RSA 2014. CT-RSA 2014. Lecture Notes in Computer Science, vol 8366. Springer, Cham. https://doi.org/10.1007/978-3-319-04852-9_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-04852-9_3

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-04851-2

  • Online ISBN: 978-3-319-04852-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation