Certificateless Signature Scheme without Random Oracles

  • Yumin Yuan
  • Da Li
  • Liwen Tian
  • Haishan Zhu
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5576)


The only known construction of certificateless signature sche-mes that can be proven secure against a malicious Key Generation Center (KGC) requires the random oracle model to prove the security. In this paper, we present a certificateless signa ure scheme which is secure against malicious-but-passive KGC attack without random oracle. The security of our scheme based on our proposed complexity assumptions we call the Augmented Computational Diffie-Hellman (ACDH) assumption and 2-Many Diffie-Hellman (2-Many-DH) assumption. At the same time, we discuss the relationship between the new assumptions and some related problems.


Certificateless signatures Random oracle Malicious KGC attack 


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  1. 1.
    Al-Riyami, S.S., Paterson, K.G.: Certificateless Public Key Cryptography. In: Laih, C.-S. (ed.) ASIACRYPT 2003. LNCS, vol. 2894, pp. 452–473. Springer, Heidelberg (2003)CrossRefGoogle Scholar
  2. 2.
    Yum, D.H., Lee, P.J.: Generic construction of certificateless encryption. In: Laganá, A., Gavrilova, M.L., Kumar, V., Mun, Y., Tan, C.J.K., Gervasi, O. (eds.) ICCSA 2004. LNCS, vol. 3043, pp. 802–811. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  3. 3.
    Huang, X., Susilo, W., Mu, Y., Zhang, F.: On the Security of Certificateless Signature Schemes from Asiacrypt 2003. In: Desmedt, Y.G., Wang, H., Mu, Y., Li, Y. (eds.) CANS 2005. LNCS, vol. 3810, pp. 13–25. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  4. 4.
    Li, X., Chen, K., Sun, L.: Certificateless Signature and Proxy Signature Schemes from Bilinear Pairings. Lithuanian Mathematical Journal 45, 76–83 (2005)MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    Gorantla, M.C., Saxena, A.: An Efficient Certificateless Signature Scheme. In: Hao, Y., Liu, J., Wang, Y.-P., Cheung, Y.-m., Yin, H., Jiao, L., Ma, J., Jiao, Y.-C. (eds.) CIS 2005. LNCS (LNAI), vol. 3802, pp. 110–116. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  6. 6.
    Yap, W.-S., Heng, S.-H., Goi, B.-M.: An Efficient Certificateless Signature Scheme. In: Zhou, X., Sokolsky, O., Yan, L., Jung, E.-S., Shao, Z., Mu, Y., Lee, D.C., Kim, D.Y., Jeong, Y.-S., Xu, C.-Z. (eds.) EUC Workshops 2006. LNCS, vol. 4097, pp. 322–331. Springer, Heidelberg (2006)CrossRefGoogle Scholar
  7. 7.
    Hu, B.C., Wong, D.S., Zhang, Z., Deng, X.: Key Replacement Attack Against a Generic Construction of Certificateless Signature. In: Batten, L.M., Safavi-Naini, R. (eds.) ACISP 2006. LNCS, vol. 4058, pp. 235–246. Springer, Heidelberg (2006)CrossRefGoogle Scholar
  8. 8.
    Zhang, Z., Wong, D.: Certificateless Public-Key Signature: Security Model and Efficient Construction. In: Zhou, J., Yung, M., Bao, F. (eds.) ACNS 2006. LNCS, vol. 3989, pp. 293–308. Springer, Heidelberg (2006)CrossRefGoogle Scholar
  9. 9.
    Liu, J.K., Au, M.H., Susilo, W.: Self-generated-certificate public key cryptography and certificateless signature/encryption scheme in the standard model. In: Proc. ACM Symposium on Information, Computer and Communications Security. ACM Press, New York (2007)Google Scholar
  10. 10.
    Huang, X., Mu, Y., Susilo, W., Wong, D.S., Wu, W.: Certificateless signature revisited. In: Pieprzyk, J., Ghodosi, H., Dawson, E. (eds.) ACISP 2007. LNCS, vol. 4586, pp. 308–322. Springer, Heidelberg (2007)CrossRefGoogle Scholar
  11. 11.
    Au, M.H., Chen, J., Liu, J.K., Mu, Y., Wong, D.S., Yang, G.: Malicious KGC attack in certificateless cryptography. In: Proc. ACM Symposium on Information, Computer and Communications Security. ACM Press, New York (2007)Google Scholar
  12. 12.
    Canetti, R., Goldreich, O., Halevi, S.: The random oracle methodology, revisited (preliminary version). In: STOC, pp. 209–218 (1998)Google Scholar
  13. 13.
    Bellare, M., Boldyreva, A., Palacio, A.: An uninstantiable random-oracle-model scheme for a hybrid-encryption problem. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 171–188. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  14. 14.
    Huang, Q., Wong, D.S.: Generic Certificateless Encryption in the Standard Model. In: Miyaji, A., Kikuchi, H., Rannenberg, K. (eds.) IWSEC 2007. LNCS, vol. 4752, pp. 278–291. Springer, Heidelberg (2007)CrossRefGoogle Scholar
  15. 15.
    Waters, B.: Efficient identity-based encryption without random oracles. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 114–127. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  16. 16.
    Zhang, F., Safavi-Naini, R., Susilo, W.: An efficient signature scheme from bilinear pairings and its applications. In: Bao, F., Deng, R., Zhou, J. (eds.) PKC 2004. LNCS, vol. 2947, pp. 277–290. Springer, Heidelberg (2004)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Yumin Yuan
    • 1
  • Da Li
    • 1
  • Liwen Tian
    • 1
  • Haishan Zhu
    • 1
  1. 1.Dept.of Mathematics and PhysicsXiamen University of TechnologyP.R. China

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