Skip to main content

New Fully Secure Hierarchical Identity-Based Encryption with Constant Size Ciphertexts

  • Conference paper
Information Security Practice and Experience (ISPEC 2011)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 6672))

Abstract

Hierarchical identity-based encryption (HIBE) is a generalization of identity-based encryption (IBE) which allows for a hierarchy of identities where any parent identities can derive secret keys for child identities. In this paper, we propose a new HIBE scheme with constant size ciphertexts and short parameters in prime order groups using symmetric pairing. We use a new technique called “hybrid identity vector” to make the key derivation feasible. Our scheme is proven fully secure under the DBDH and D-Linear assumptions by using dual system encryption. Based on our HIBE scheme, we propose a new WIBE (IBE with wildcards) scheme with constant size ciphertexts.

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. Abdalla, M., Catalano, D., Dent, A.W., Malone-Lee, J., Neven, G., Smart, N.P.: Identity-based encryption gone wild. In: Bugliesi, M., Preneel, B., Sassone, V., Wegener, I. (eds.) ICALP 2006. LNCS, vol. 4052, pp. 300–311. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  2. Abdalla, M., Kiltz, E., Neven, G.: Generalized key delegation for hierarchical identity-based encryption. In: Biskup, J., López, J. (eds.) ESORICS 2007. LNCS, vol. 4734, pp. 139–154. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  3. Boneh, D., Boyen, X.: Efficient selective-id secure identity-based encryption without random oracles. In: Cachin, C., Camenisch, J. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 223–238. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  4. 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)

    Chapter  Google Scholar 

  5. 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 

  6. Boneh, D., Boyen, X., Shacham, H.: Short group signatures. In: Franklin, M.K. (ed.) CRYPTO 2004. LNCS, vol. 3152, pp. 41–55. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  7. 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)

    Chapter  Google Scholar 

  8. Boneh, D., Katz, J.: Improved efficiency for cca-secure cryptosystems built using identity-based encryption. In: Menezes, A. (ed.) CT-RSA 2005. LNCS, vol. 3376, pp. 87–103. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  9. 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)

    Chapter  Google Scholar 

  10. 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)

    Chapter  Google Scholar 

  11. Canetti, R., Halevi, S., Katz, J.: Chosen-ciphertext security from identity-based encryption. In: Cachin, C., Camenisch, J. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 207–222. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  12. Caro, A.D., Iovino, V., Persiano, G.: Fully secure anonymous hibe and secret-key anonymous ibe with short ciphertexts. Cryptology ePrint Archive, Report 2010/197 (2010), http://eprint.iacr.org/

  13. Chatterjee, S., Sarkar, P.: Hibe with short public parameters without random oracle. In: Lai, X., Chen, K. (eds.) ASIACRYPT 2006. LNCS, vol. 4284, pp. 145–160. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  14. Chatterjee, S., Sarkar, P.: New constructions of constant size ciphertext hibe without random oracle. In: Rhee, M.S., Lee, B. (eds.) ICISC 2006. LNCS, vol. 4296, pp. 310–327. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  15. Cocks, C.: An identity based encryption scheme based on quadratic residues. In: Honary, B. (ed.) Cryptography and Coding 2001. LNCS, vol. 2260, pp. 360–363. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  16. Freeman, D.M.: Converting pairing-based cryptosystems from composite-order groups to prime-order groups. In: Gilbert, H. (ed.) EUROCRYPT 2010. LNCS, vol. 6110, pp. 44–61. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  17. Gentry, C.: Practical identity-based encryption without random oracles. In: Vaudenay, S. (ed.) EUROCRYPT 2006. LNCS, vol. 4004, pp. 445–464. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  18. Gentry, C., Halevi, S.: Hierarchical identity based encryption with polynomially many levels. In: Reingold, O. (ed.) TCC 2009. LNCS, vol. 5444, pp. 437–456. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  19. Gentry, C., Silverberg, A.: Hierarchical ID-based cryptography. In: Zheng, Y. (ed.) ASIACRYPT 2002. LNCS, vol. 2501, pp. 548–566. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  20. Horwitz, J., Lynn, B.: Toward hierarchical identity-based encryption. In: Knudsen, L. (ed.) EUROCRYPT 2002. LNCS, vol. 2332, pp. 466–481. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  21. 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 

  22. Lewko, A., Waters, B.: New techniques for dual system encryption and fully secure hibe with short ciphertexts. In: Micciancio, D. (ed.) TCC 2010. LNCS, vol. 5978, pp. 455–479. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  23. 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)

    Chapter  Google Scholar 

  24. Seo, J.H., Cheon, J.H.: Fully secure anonymous hierarchical identity-based encryption with constant size ciphertexts. Cryptology ePrint Archive, Report 2011/021 (2011), http://eprint.iacr.org/

  25. Seo, J.H., Kobayashi, T., Ohkubo, M., Suzuki, K.: Anonymous hierarchical identity-based encryption with constant size ciphertexts. In: Jarecki, S., Tsudik, G. (eds.) PKC 2009. LNCS, vol. 5443, pp. 215–234. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  26. 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 

  27. Waters, B.: Efficient identity-based encryption without random oracles. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 114–127. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  28. 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 

  29. Waters, B.: Dual system encryption: Realizing fully secure ibe and hibe under simple assumptions. Cryptology ePrint Archive, Report 2009/385 (2009), http://eprint.iacr.org/

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Luo, S., Chen, Y., Hu, J., Chen, Z. (2011). New Fully Secure Hierarchical Identity-Based Encryption with Constant Size Ciphertexts. In: Bao, F., Weng, J. (eds) Information Security Practice and Experience. ISPEC 2011. Lecture Notes in Computer Science, vol 6672. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21031-0_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-21031-0_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21030-3

  • Online ISBN: 978-3-642-21031-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics