Advertisement

Secure Hierarchical Identity Based Signature and Its Application

  • Sherman S. M. Chow
  • Lucas C. K. Hui
  • Siu Ming Yiu
  • K. P. Chow
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3269)

Abstract

At EUROCRYPT 2004, Boneh and Boyen [5] proposed a new hierarchical identity-based (ID-based) encryption (HIBE) scheme provably selective-ID secure without random oracles. In this paper we propose a new hierarchical ID-based signature that shares the same system parameters with their hierarchical ID-based encryption scheme (BB-HIBE). BB-HIBE and our signature scheme yield a complete ID-based public key cryptosystem. To the best of the authors’ knowledge, our scheme is the first provably secure hierarchical ID-based signature scheme (HIBS) and is also the first ID-based signature scheme working with the BB-HIBE. The scheme is provably secure against existential forgery for selective-ID, adaptive chosen-message-and-identity attack (EF-sID-CMIA) in the random oracle model, and have a good exact security under adaptive chosen-message attack. As a bonus result, we extend our HIBS scheme into a new forward-secure signature scheme.

Keywords

Hierarchical identity-based signature bilinear pairings forward-secure signature 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Abdalla, M., Reyzin, L.: A New Forward-Secure Digital Signature Scheme. In: Okamoto, T. (ed.) ASIACRYPT 2000. LNCS, vol. 1976, pp. 116–129. Springer, Heidelberg (2000)CrossRefGoogle Scholar
  2. 2.
    Anderson, R.: Two Remarks on Public Key Cryptology. In: Fourth ACM Conference on Computer and Communications Security (1997) (invited talk)Google Scholar
  3. 3.
    Bellare, M., Miner, S.K.: A Forward-Secure Digital Signature Scheme. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 431–448. Springer, Heidelberg (1999)Google Scholar
  4. 4.
    Bellare, M., Rogaway, P.: Random Oracles are Practical: A Paradigm for Designing Efficient Protocols. In: The First ACM Conference on Computer and Communications Security, pp. 62–73 (1993)Google Scholar
  5. 5.
    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)CrossRefGoogle Scholar
  6. 6.
    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)CrossRefGoogle Scholar
  7. 7.
    Boyen, X.: Multipurpose Identity-Based Signcryption: A Swiss Army Knife for Identity-Based Cryptography. In: Boneh, D. (ed.) CRYPTO 2003. LNCS, vol. 2729, pp. 382–398. Springer, Heidelberg (2003)CrossRefGoogle Scholar
  8. 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)CrossRefGoogle Scholar
  9. 9.
    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)CrossRefGoogle Scholar
  10. 10.
    Cha, J.C., Cheon, J.H.: An Identity-Based Signature from Gap Diffie- Hellman Groups. In: Desmedt, Y.G. (ed.) PKC 2003. LNCS, vol. 2567, pp. 18–30. Springer, Heidelberg (2002)CrossRefGoogle Scholar
  11. 11.
    Chow, S.S.M.: Verifiable Pairing and Its Applications. In: Lim, C.H., Yung, M. (eds.) WISA 2004. LNCS, vol. 3325, pp. 170–187. Springer, Heidelberg (2005) (to appear)CrossRefGoogle Scholar
  12. 12.
    Chow, S.S.M., Hui, L.C.K., Yiu, S.M.: Identity Based Threshold Ring Signature. Cryptology ePrint Archive, Report 2004/179 (July 2004), Available at http://eprint.iacr.org
  13. 13.
    Chow, S.S.M., Hui, L.C.K., Yiu, S.M., Chow, K.P.: Two Improved Partially Blind Signature Schemes from Bilinear Pairings. Cryptology ePrint Archive, Report 2004/108 (April 2004), Available at http://eprint.iacr.org
  14. 14.
    Chow, S.S.M., Yiu, S.M., Hui, L.C.K., Chow, K.P.: Efficient Forward and Provably Secure ID-Based Signcryption Scheme with Public Verifiability and Public Ciphertext Authenticity. In: Lim, J.-I., Lee, D.-H. (eds.) ICISC 2003. LNCS, vol. 2971, pp. 352–369. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  15. 15.
    Gentry, C., Silverberg, A.: Hierarchical ID-Based Cryptography. In: Zheng, Y. (ed.) ASIACRYPT 2002. LNCS, vol. 2501, pp. 548–566. Springer, Heidelberg (2002)CrossRefGoogle Scholar
  16. 16.
    Gordon, D.M.: A Survey of Fast Exponentiation Methods. Journal of Algorithms 27(1), 129–146 (1998)zbMATHCrossRefMathSciNetGoogle Scholar
  17. 17.
    Hess, F.: Efficient Identity Based Signature Schemes based on Pairings. In: Nyberg, K., Heys, H.M. (eds.) SAC 2002. LNCS, vol. 2595, pp. 310–324. Springer, Heidelberg (2003)CrossRefGoogle Scholar
  18. 18.
    Horwitz, J., Lynn, B.: Toward Hierarchical Identity-Based Encryption. In: Knudsen, L.R. (ed.) EUROCRYPT 2002. LNCS, vol. 2332, pp. 466–481. Springer, Heidelberg (2002)CrossRefGoogle Scholar
  19. 19.
    Hu, F., Wu, C.-H., Irwin, J.D.: A New Forward Secure Signature Scheme using Bilinear Maps. Cryptology ePrint Archive, Report 2003/188 (2003), Available at http://eprint.iacr.org
  20. 20.
    Itkis, G., Reyzin, L.: Forward-Secure Signatures with Optimal Signing and Verifying. In: Kilian, J. (ed.) CRYPTO 2001. LNCS, vol. 2139, pp. 332–354. Springer, Heidelberg (2001)CrossRefGoogle Scholar
  21. 21.
    Kozlov, A., Reyzin, L.: Forward-Secure Signatures with Fast Key Update. In: Cimato, S., Galdi, C., Persiano, G. (eds.) SCN 2002. LNCS, vol. 2576, pp. 241–256. Springer, Heidelberg (2003)CrossRefGoogle Scholar
  22. 22.
    Paterson, K.: ID-based Signatures from Pairings on Elliptic Curves. Cryptology ePrint Archive, Report 2002/004 (2002), Available at http://eprint.iacr.org
  23. 23.
    Pointcheval, D., Stern, J.: Security Arguments for Digital Signatures and Blind Signatures. Journal of Cryptology: The Journal of the International Association for Cryptologic Research 13(3), 361–396 (2000)zbMATHGoogle Scholar
  24. 24.
    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)CrossRefGoogle Scholar
  25. 25.
    Solinas, J.A.: ID-based digital signature algorithms. Slide Show presented at 7th Workshop on Elliptic Curve Cryptography (ECC 2003) (August 2003)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Sherman S. M. Chow
    • 1
  • Lucas C. K. Hui
    • 1
  • Siu Ming Yiu
    • 1
  • K. P. Chow
    • 1
  1. 1.Department of Computer ScienceThe University of Hong KongHong Kong

Personalised recommendations