Applicability of OR-Proof Techniques to Hierarchical Identity-Based Identification

  • Atsushi Fujioka
  • Taiichi Saito
  • Keita Xagawa
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7712)


We discuss the applicability of the well known OR-proof technique to hierarchical identity-based identification (HIBI) protocols for enhancing their security. We first describe formal security definitions for HIBI protocol not only in the adaptive hierarchical-identity setting but also in both “static” and “weak selective” hierarchical-identity settings. Next, we investigate whether the security enhancement transformations for identity-based identifications presented at ACNS 2012, which is based on the OR-proof technique, can be applied to HIBI protocols. We formally prove that several of these transformations are applicable to HIBI with slight modification. Curiously, the rest do not seem applicable, which stems from hierarchy and delegation. We also present a variant transformation and show that it can enhance the security of HIBI protocols in all three hierarchical-identity settings.


hierarchical identity-based identification OR-proof impersonation under concurrent attacks 


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  1. 1.
    Bellare, M., Namprempre, C., Neven, G.: Security proofs for identity-based identification and signature schemes. Journal of Cryptology 22(1), 1–61 (2009)MathSciNetzbMATHCrossRefGoogle Scholar
  2. 2.
    Bellare, M., Palacio, A.: GQ and Schnorr Identification Schemes: Proofs of Security against Impersonation under Active and Concurrent Attacks. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 162–177. Springer, Heidelberg (2002)CrossRefGoogle Scholar
  3. 3.
    Chin, J.-J., Heng, S.-H., Goi, B.-M.: Hierarchical Identity-Based Identification Schemes. In: Ślęzak, D., Kim, T.-H., Fang, W.-C., Arnett, K.P. (eds.) SecTech 2009. CCIS, vol. 58, pp. 93–99. Springer, Heidelberg (2009)CrossRefGoogle Scholar
  4. 4.
    Cramer, R., Damgård, I., Schoenmakers, B.: Proof of Partial Knowledge and Simplified Design of Witness Hiding Protocols. In: Desmedt, Y.G. (ed.) CRYPTO 1994. LNCS, vol. 839, pp. 174–187. Springer, Heidelberg (1994)Google Scholar
  5. 5.
    Feige, U., Shamir, A.: Witness indistinguishable and witness hiding protocols. In: STOC 1990, pp. 416–426. ACM (1990)Google Scholar
  6. 6.
    Fujioka, A., Saito, T., Xagawa, K.: Security Enhancements by OR-Proof in Identity-Based Identification. In: Bao, F., Samarati, P., Zhou, J. (eds.) ACNS 2012. LNCS, vol. 7341, pp. 135–152. Springer, Heidelberg (2012)CrossRefGoogle Scholar
  7. 7.
    Fujioka, A., Saito, T., Xagawa, K.: Secure Hierarchical Identity-Based Identification without Random Oracles. In: Gollmann, D., Freiling, F.C. (eds.) ISC 2012. LNCS, vol. 7483, pp. 258–273. Springer, Heidelberg (2012)CrossRefGoogle Scholar
  8. 8.
    Gennaro, R.: Multi-trapdoor Commitments and Their Applications to Proofs of Knowledge Secure Under Concurrent Man-in-the-Middle Attacks. In: Franklin, M. (ed.) CRYPTO 2004. LNCS, vol. 3152, pp. 220–236. Springer, Heidelberg (2004)Google Scholar
  9. 9.
    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
  10. 10.
    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
  11. 11.
    Kurosawa, K., Heng, S.-H.: Identity-Based Identification Without Random Oracles. In: Gervasi, O., Gavrilova, M.L., Kumar, V., Laganà, A., Lee, H.P., Mun, Y., Taniar, D., Tan, C.J.K. (eds.) ICCSA 2005, Part II. LNCS, vol. 3481, pp. 603–613. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  12. 12.
    Rückert, M.: Adaptively Secure Identity-Based Identification from Lattices without Random Oracles. In: Garay, J.A., De Prisco, R. (eds.) SCN 2010. LNCS, vol. 6280, pp. 345–362. Springer, Heidelberg (2010)CrossRefGoogle Scholar
  13. 13.
    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
  14. 14.
    Yang, G., Chen, J., Wong, D.S., Deng, X., Wang, D.: A new framework for the design and analysis of identity-based identification schemes. Theoretical Computer Science 407(1-3), 370–388 (2008); A preliminary version appeared ACNS 2007 (2007)MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Atsushi Fujioka
    • 1
  • Taiichi Saito
    • 2
  • Keita Xagawa
    • 1
  1. 1.NTT Secure Platform LaboratoriesMusashino-shiJapan
  2. 2.Tokyo Denki UniversityAdachi-kuJapan

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