Skip to main content

Efficient Identity-Based Encryption with Tight Security Reduction

  • Conference paper

Part of the Lecture Notes in Computer Science book series (LNSC,volume 4301)

Abstract

In a famous paper at Crypto’01, Boneh and Franklin proposed the first fully functional identity-based encryption scheme (IBE), around fifteen years after the concept was introduced by Shamir. Their scheme achieves chosen-ciphertext security (i.e., secure in the sense of IND-ID-CCA); however, the security reduction is far from being tight.

In this paper, we present an efficient variant of the Boneh-Franklin scheme that achieves a tight security reduction. Our scheme is basically an IBE scheme under two keys, one of which is randomly chosen and given to the user. It can be viewed as a continuation of an idea introduced by Katz and Wang; however, unlike the Katz-Wang variant, our scheme is quite efficient, as its ciphertext size is roughly comparable to that of the original full Boneh-Franklin scheme. The security of our scheme can be based on either the gap bilinear Diffie-Hellman (GBDH) or the decisional bilinear Diffie-Hellman (DBDH) assumptions.

Keywords

  • Random Oracle
  • Security Parameter
  • Random Oracle Model
  • Identity Base Encryption
  • Challenge Ciphertext

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Attrapadung, N., Chevallier-Mames, B., Furukawa, J., Gomi, T., Hanaoka, G., Imai, H., Zhang, R.: Efficient Identity-Based Encryption with Tight Security Reduction, IACR ePrint Report 2005/320 (2005)

    Google Scholar 

  2. Boneh, D., Boyen, X.: Efficient Selective-ID Secure Identity-Based Encryption Without Random Oracles. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 223–238. Springer, Heidelberg (2004); The full version is available as IACR ePrint Report 2004/172

    CrossRef  Google Scholar 

  3. Boneh, D., Boyen, X.: Secure Identity Based Encryption Without Random Oracles. In: Franklin, M. (ed.) CRYPTO 2004. LNCS, vol. 3152, pp. 443–459. Springer, Heidelberg (2004)

    Google Scholar 

  4. Boneh, D., Lynn, B., Shacham, H.: Short signatures from the Weil pairing. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol. 2248, pp. 514–532. Springer, Heidelberg (2001)

    CrossRef  Google Scholar 

  5. Boneh, D., Franklin, M.: Identity Based Encryption from the Weil Pairing. In: Kilian, J. (ed.) CRYPTO 2001. LNCS, vol. 2139, pp. 213–229. Springer, Heidelberg (2001)

    CrossRef  Google Scholar 

  6. Boneh, D., Franklin, M.: Identity Based Encryption from the Weil Pairing. SIAM Journal of Computing 32(3), 586–615 (2003), full version of [5]

    CrossRef  MATH  MathSciNet  Google Scholar 

  7. Boyen, X., Waters, B.: Anonymous Hierarchical Identity-Based Encryption (Without Random Oracles). In: Dwork, C. (ed.) CRYPTO 2006. LNCS, vol. 4117, pp. 290–307. Springer, Heidelberg (2006)

    CrossRef  Google Scholar 

  8. Canetti, R., Halevi, S., Katz, J.: A Forward-Secure Public-Key Encryption Scheme. In: Biham, E. (ed.) EUROCRYPT 2003. LNCS, vol. 2656, pp. 255–271. Springer, Heidelberg (2003)

    CrossRef  Google Scholar 

  9. Cheon, J.H.: Security Analysis of the Strong Diffie-Hellman Problem. In: Vaudenay, S. (ed.) EUROCRYPT 2006. LNCS, vol. 4004, pp. 1–11. Springer, Heidelberg (2006)

    CrossRef  Google Scholar 

  10. 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)

    CrossRef  Google Scholar 

  11. Fujisaki, E., Okamoto, T.: Secure Integration of Asymmetric and Symmetric Encryption Schemes. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 537–554. Springer, Heidelberg (1999)

    Google Scholar 

  12. Galindo, D.: Boneh-Franklin Identity Based Encryption Revisited. In: Caires, L., Italiano, G.F., Monteiro, L., Palamidessi, C., Yung, M. (eds.) ICALP 2005. LNCS, vol. 3580, pp. 791–802. Springer, Heidelberg (2005)

    CrossRef  Google Scholar 

  13. Gentry, C.: Practical Identity-Based Encryption Without Random Oracles. In: Vaudenay, S. (ed.) EUROCRYPT 2006. LNCS, vol. 4004, pp. 445–464. Springer, Heidelberg (2006)

    CrossRef  Google Scholar 

  14. Halevi, S., Rogaway, P.: A Tweakable Enciphering Mode. In: Boneh, D. (ed.) CRYPTO 2003. LNCS, vol. 2729, pp. 482–499. Springer, Heidelberg (2003)

    CrossRef  Google Scholar 

  15. Halevi, S., Rogaway, P.: A Parallelizable Enciphering Mode. In: Okamoto, T. (ed.) CT-RSA 2004. LNCS, vol. 2964, pp. 292–304. Springer, Heidelberg (2004)

    CrossRef  Google Scholar 

  16. Katz, J., Wang, N.: Efficiency Improvements for Signature Schemes with Tight Security Reductions. In: ACM-CCS 2003, pp. 155–164 (2003)

    Google Scholar 

  17. Kitagawa, K., Yang, P., Hanaoka, G., Zhang, R., Matsuura, K., Imai, H.: Generic Transforms to Acquire CCA-Security for Identity Based Encryption: The Cases of FO pkc and REACT. In: Batten, L.M., Safavi-Naini, R. (eds.) ACISP 2006. LNCS, vol. 4058, pp. 348–359. Springer, Heidelberg (2006)

    CrossRef  Google Scholar 

  18. Libert, B., Quisquater, J.: Identity Based Encryption Without Redundancy. In: Ioannidis, J., Keromytis, A.D., Yung, M. (eds.) ACNS 2005. LNCS, vol. 3531, pp. 285–300. Springer, Heidelberg (2005)

    CrossRef  Google Scholar 

  19. Miyaji, A., Nakabayashi, M., Takano, S.: New explicit conditions of elliptic curve traces for FR-reduction. IEICE Trans. Fundamentals E84-A(5), 1234–1243 (2001)

    Google Scholar 

  20. Okamoto, T., Pointcheval, D.: The Gap-Problems: a New Class of Problems for the Security of Cryptographic Schemes. In: Kim, K.-c. (ed.) PKC 2001. LNCS, vol. 1992, pp. 104–118. Springer, Heidelberg (2001)

    CrossRef  Google Scholar 

  21. 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)

    CrossRef  Google Scholar 

  22. Shoup, V.: Sequences of Games: A Tool for Taming Complexity in Security Proofs, IACR ePrint Report 2004/332 (2004)

    Google Scholar 

  23. Waters, B.: Efficient Identity-Based Encryption Without Random Oracles. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 114–127. Springer, Heidelberg (2005); The full version is available as IACR ePrint Report 2004/180

    CrossRef  Google Scholar 

  24. Zhang, R., Imai, H.: Improvements on Security Proofs of Some Identity Based Encryption Schemes. In: Feng, D., Lin, D., Yung, M. (eds.) CISC 2005. LNCS, vol. 3822, pp. 28–41. Springer, Heidelberg (2005)

    CrossRef  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Attrapadung, N., Furukawa, J., Gomi, T., Hanaoka, G., Imai, H., Zhang, R. (2006). Efficient Identity-Based Encryption with Tight Security Reduction. In: Pointcheval, D., Mu, Y., Chen, K. (eds) Cryptology and Network Security. CANS 2006. Lecture Notes in Computer Science, vol 4301. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11935070_2

Download citation

  • DOI: https://doi.org/10.1007/11935070_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-49462-1

  • Online ISBN: 978-3-540-49463-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics