Skip to main content

Threshold Ciphertext Policy Attribute-Based Encryption with Constant Size Ciphertexts

  • Conference paper
Information Security and Privacy (ACISP 2012)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 7372))

Included in the following conference series:

Abstract

In PKC 2010, Herranz et al. proposed the first ciphertext policy attribute-based encryption (CP-ABE) scheme with constant size ciphertexts for threshold predicates. However, their scheme was only secure against chosen plaintext attacks (CPA), which was impossible to obtain security against chosen ciphertext attacks (CCA) in the standard model, and they left open the following three problems for CP-ABE schemes with constant size ciphertexts, i.e., how to achieve full security (i.e., not only the selective security), CCA security in the standard model, and security reduction to a more standard mathematical problem. In this paper, we answer the last two of these three problems affirmatively. Towards our goal, we first design a CPA secure threshold CP-ABE scheme, which can be further upgraded to the CCA security. The security of our schemes can be proved under the decisional q-Bilinear Diffie-Hellman Exponent (q-BDHE) assumption in the selective model. To the best of our knowledge, this is the first construction of CCA secure CP-ABE scheme with constant size ciphertexts that can support flexible threshold access structure in the standard model.

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

Access this chapter

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. Attrapadung, N., Libert, B.: Functional Encryption for Inner Product: Achieving Constant-Size Ciphertexts with Adaptive Security or Support for Negation. In: Nguyen, P.Q., Pointcheval, D. (eds.) PKC 2010. LNCS, vol. 6056, pp. 384–402. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  2. Attrapadung, N., Libert, B., de Panafieu, E.: Expressive Key-Policy Attribute-Based Encryption with Constant-Size Ciphertexts. In: Catalano, D., Fazio, N., Gennaro, R., Nicolosi, A. (eds.) PKC 2011. LNCS, vol. 6571, pp. 90–108. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  3. Boneh, D., Boyen, X., Goh, E.-J.: Hierarchical Identity Based Encryption with Constant Size Ciphertext. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 440–456. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  4. Canetti, R., Halevi, S., Katz, J.: Chosen-Ciphertext Security from Identity-Based Encryption. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 207–222. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  5. Cheung, L., Newport, C.: Provably secure ciphertext policy ABE. In: ACM CCS 2007, pp. 456–465. ACM, New York (2007)

    Chapter  Google Scholar 

  6. Chen, C., Zhang, Z., Feng, D.: Efficient Ciphertext Policy Attribute-Based Encryption with Constant-Size Ciphertext and Constant Computation-Cost. In: Boyen, X., Chen, X. (eds.) ProvSec 2011. LNCS, vol. 6980, pp. 84–101. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  7. Delerablée, C., Pointcheval, D.: Dynamic Threshold Public-Key Encryption. In: Wagner, D. (ed.) CRYPTO 2008. LNCS, vol. 5157, pp. 317–334. Springer, Heidelberg (2008)

    Google Scholar 

  8. Emura, K., Miyaji, A., Nomura, A., Omote, K., Soshi, M.: A Ciphertext-Policy Attribute-Based Encryption Scheme with Constant Ciphertext Length. In: Bao, F., Li, H., Wang, G. (eds.) ISPEC 2009. LNCS, vol. 5451, pp. 13–23. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  9. Fujisaki, E., Okamoto, T.: How to Enhance the Security of Public-Key Encryption at Minimum Cost. In: Imai, H., Zheng, Y. (eds.) PKC 1999. LNCS, vol. 1560, pp. 53–68. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  10. Goyal, V., Pandey, O., Sahai, A., Waters, B.: Attribute-based encryption for fine-grained access control of encrypted data. In: ACM CCS 2006, pp. 89–98. ACM, New York (2006)

    Chapter  Google Scholar 

  11. Herranz, J., Laguillaumie, F., Ràfols, C.: Constant Size Ciphertexts in Threshold Attribute-Based Encryption. In: Nguyen, P.Q., Pointcheval, D. (eds.) PKC 2010. LNCS, vol. 6056, pp. 19–34. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  12. Katz, J., Sahai, A., Waters, B.: Predicate Encryption Supporting Disjunctions, Polynomial Equations, and Inner Products. In: Smart, N.P. (ed.) EUROCRYPT 2008. LNCS, vol. 4965, pp. 146–162. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  13. Lai, J., Deng, R.H., Liu, S., Kou, W.: Efficient CCA-Secure PKE from Identity-Based Techniques. In: Pieprzyk, J. (ed.) CT-RSA 2010. LNCS, vol. 5985, pp. 132–147. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  14. Lewko, A., Okamoto, T., Sahai, A., Takashima, K., Waters, B.: Fully Secure Functional Encryption: Attribute-Based Encryption and (Hierarchical) Inner Product Encryption. In: Gilbert, H. (ed.) EUROCRYPT 2010. LNCS, vol. 6110, pp. 62–91. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

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

    Google Scholar 

  16. Lewko, A., Waters, B.: Decentralizing Attribute-Based Encryption. In: Paterson, K.G. (ed.) EUROCRYPT 2011. LNCS, vol. 6632, pp. 568–588. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  17. Okamoto, T., Takashima, K.: Fully Secure Functional Encryption with General Relations from the Decisional Linear Assumption. In: Rabin, T. (ed.) CRYPTO 2010. LNCS, vol. 6223, pp. 191–208. Springer, Heidelberg (2010)

    Google Scholar 

  18. Sahai, A., Waters, B.: Fuzzy Identity-Based Encryption. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 457–473. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  19. Shamir, A.: Identity-Based Cryptosystems and Signature Schemes. In: Blakely, G.R., Chaum, D. (eds.) CRYPTO 1984. LNCS, vol. 196, pp. 47–53. Springer, Heidelberg (1985)

    Chapter  Google Scholar 

  20. Waters, B.: Dual System Encryption: Realizing Fully Secure IBE and HIBE under Simple Assumptions. In: Halevi, S. (ed.) CRYPTO 2009. LNCS, vol. 5677, pp. 619–636. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  21. Waters, B.: Ciphertext-Policy Attribute-Based Encryption: An Expressive, Efficient, and Provably Secure Realization. In: Catalano, D., Fazio, N., Gennaro, R., Nicolosi, A. (eds.) PKC 2011. LNCS, vol. 6571, pp. 53–70. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  22. Yamada, S., Attrapadung, N., Hanaoka, G., Kunihiro, N.: Generic Constructions for Chosen-Ciphertext Secure Attribute Based Encryption. In: Catalano, D., Fazio, N., Gennaro, R., Nicolosi, A. (eds.) PKC 2011. LNCS, vol. 6571, pp. 71–89. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  23. Zhang, R.: Tweaking TBE/IBE to PKE Transforms with Chameleon Hash Functions. In: Katz, J., Yung, M. (eds.) ACNS 2007. LNCS, vol. 4521, pp. 323–339. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  24. Zhou, Z., Huang, D.: On efficient ciphertext-policy attribute based encryption and broadcast encryption. In: ACM CCS 2010, pp. 753–755. ACM, New York (2010), the full version, http://eprint.iacr.org/2010/395

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ge, A., Zhang, R., Chen, C., Ma, C., Zhang, Z. (2012). Threshold Ciphertext Policy Attribute-Based Encryption with Constant Size Ciphertexts. In: Susilo, W., Mu, Y., Seberry, J. (eds) Information Security and Privacy. ACISP 2012. Lecture Notes in Computer Science, vol 7372. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31448-3_25

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-31448-3_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31447-6

  • Online ISBN: 978-3-642-31448-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics