Certificate-Based Signature Schemes without Pairings or Random Oracles

  • Joseph K. Liu
  • Joonsang Baek
  • Willy Susilo
  • Jianying Zhou
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5222)


In this paper, we propose two new certificate-based signature (CBS) schemes with new features and advantages. The first one is very efficient as it does not require any pairing computation and its security can be proven using Discrete Logarithm assumption in the random oracle model. We also propose another scheme whose security can be proven in the standard model without random oracles. To the best of our knowledge, these are the first CBS schemes in the literature that have such kind of features.


Signature Scheme Random Oracle Discrete Logarithm Problem Random Oracle Model Identity Base Encryption 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    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
  2. 2.
    Gentry, C.: Certificate-based encryption and the certificate revocation problem. In: EUROCRYPT 2003. LNCS, vol. 2656, pp. 272–293. Springer, Heidelberg (2003)CrossRefGoogle Scholar
  3. 3.
    Boneh, D., Franklin, M.K.: Identity-Based Encryption from the Weil Pairing. In: Kilian, J. (ed.) CRYPTO 2001. LNCS, vol. 2139, pp. 213–229. Springer, Heidelberg (2001)CrossRefGoogle Scholar
  4. 4.
    Kang, B.G., Park, J.H., Hahn, S.G.: A certificate-based signature scheme. In: Okamoto, T. (ed.) CT-RSA 2004. LNCS, vol. 2964, pp. 99–111. Springer, Heidelberg (2004)Google Scholar
  5. 5.
    Li, J., Huang, X., Mu, Y., Susilo, W., Wu, Q.: Certificate-based signature: Security model and efficient construction. In: López, J., Samarati, P., Ferrer, J.L. (eds.) EuroPKI 2007. LNCS, vol. 4582, pp. 110–125. Springer, Heidelberg (2007)CrossRefGoogle Scholar
  6. 6.
    Au, M., Liu, J., Susilo, W., Yuen, T.: Certificate based (linkable) ring signature. In: Dawson, E., Wong, D.S. (eds.) ISPEC 2007. LNCS, vol. 4464, pp. 79–92. Springer, Heidelberg (2007)CrossRefGoogle Scholar
  7. 7.
    Al-Riyami, S.S., Paterson, K.: Certificateless public key cryptography. In: Laih, C.-S. (ed.) ASIACRYPT 2003. LNCS, vol. 2894, pp. 452–473. Springer, Heidelberg (2003)Google Scholar
  8. 8.
  9. 9.
    Lysyanskaya, A.: Unique signatures and verifiable random functions from the DH-DDH separation. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 597–612. Springer, Heidelberg (2002)CrossRefGoogle Scholar
  10. 10.
    Au, M., Chen, J., Liu, J., Mu, Y., Wong, D., Yang, G.: Malicious KGC attacks in certificateless cryptography. In: ASIACCS 2007, pp. 302–311. ACM Press, New York (2007)Google Scholar
  11. 11.
    Beth, T.: Efficient Zero-Knowledged Identification Scheme for Smart Cards. In: Günther, C.G. (ed.) EUROCRYPT 1988. LNCS, vol. 330, pp. 77–86. Springer, Heidelberg (1988)Google Scholar
  12. 12.
    Camenisch, J., Stadler, M.: Efficient Group Signature Schemes for Large Groups (Extended Abstract). CRYPTO 1997. In: Kaliski Jr., B.S. (ed.) CRYPTO 1997. LNCS, vol. 1294, pp. 410–424. Springer, Heidelberg (1997)Google Scholar
  13. 13.
    Bellare, M., Namprempre, C., Neven, G.: Security Proofs for Identity-Based Identification and Signature Schemes. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 268–286. Springer, Heidelberg (2004)Google Scholar
  14. 14.
    Bellare, M., Namprempre, C., Neven, G.: Security Proofs for Identity-Based Identification and Signature Schemes (Full version). Cryptology ePrint Archive, Report 2004/252 (2004),
  15. 15.
    Liu, J., Baek J., Susilo, W., Zhou, J.: Certificate-Based Signature Schemes without Pairings or Random Oracles (Full version). Cryptology ePrint Archive, Report 2008/275 (2008),
  16. 16.
    Waters, B.: Efficient identity-based encryption without random oracles. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 114–127. Springer, Heidelberg (2005)Google Scholar
  17. 17.
    Paterson, K., Schuldt, J.: Efficient identity-based signatures secure in the standard model. In: Batten, L.M., Safavi-Naini, R. (eds.) ACISP 2006. LNCS, vol. 4058, pp. 195–206. Springer, Heidelberg (2006)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Joseph K. Liu
    • 1
  • Joonsang Baek
    • 1
  • Willy Susilo
    • 2
  • Jianying Zhou
    • 1
  1. 1.Cryptography and Security Department Institute for Infocomm Research Singapore
  2. 2.Centre for Computer and Information Security (CCISR) School of Computer Science and Software EngineeringUniversity of WollongongAustralia

Personalised recommendations