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Event-Oriented k-Times Revocable-iff-Linked Group Signatures

  • Man Ho Au
  • Willy Susilo
  • Siu-Ming Yiu
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4058)

Abstract

In this paper, we introduce the notion of event-oriented k-times revocable if and only if linked group signatures (k-EoRiffL group signatures). In k-EoRiffL group signatures, signers can sign on behalf of a group anonymously and unlinkably up to a permitted number of times (k) per event. No party, even the group manager, can revoke the anonymity of the signer. On the other hand, everyone can identify the signer if he signs more than k times for a particular event. We then show that k-EoRiffL group signatures can be used for k-times anonymous authentication(k-TAA), compact e-cash, e-voting, etc.

We formally define security model for the new notion and propose constant-size construction, that is, size of our construction is independent of the size of the group and the number of permitted usage k. Our construction is secure based on the q-strong Diffie-Hellman assumption and the y-DDHI assumption.

Keywords

event-oriented revocable anonymity group signature k-TAA 

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References

  1. 1.
    Ateniese, G., Camenisch, J., Joye, M., Tsudik, G.: A practical and provably secure coalition-resistant group signature scheme. In: Bellare, M. (ed.) CRYPTO 2000. LNCS, vol. 1880, pp. 255–270. Springer, Heidelberg (2000)CrossRefGoogle Scholar
  2. 2.
    Au, M.H., Chow, S.S.M., Susilo, W.: Short e-cash. In: Maitra, S., Veni Madhavan, C.E., Venkatesan, R. (eds.) INDOCRYPT 2005. LNCS, vol. 3797, pp. 332–346. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  3. 3.
    Au, M.H., Liu, J.K., Tsang, P.P., Wong, D.S.: A Suite of ID-Based Threshold Ring Signature Schemes with Different Levels of Anonymity. Cryptology ePrint Archive, Report 2005/326 (2005) http://eprint.iacr.org/
  4. 4.
    Au, M.H., Susilo, W., Yiu, S.-M.: Event-Oriented k-times Revocable-iff-Linked Group Signatures (2006) (Full version)Google Scholar
  5. 5.
    Boneh, D., Boyen, X.: Short signatures without random oracles. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 56–73. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  6. 6.
    Boudot, F.: Efficient proofs that a committed number lies in an interval. In: Preneel, B. (ed.) EUROCRYPT 2000. LNCS, vol. 1807, pp. 431–444. Springer, Heidelberg (2000)CrossRefGoogle Scholar
  7. 7.
    Brands, S.: Untraceable off-line cash in wallets with observers (extended abstract). In: Stinson, D.R. (ed.) CRYPTO 1993. LNCS, vol. 773, pp. 302–318. Springer, Heidelberg (1994)Google Scholar
  8. 8.
    Camenisch, J., Hohenberger, S., Lysyanskaya, A.: Compact e-cash. In: Cramer, R.J.F. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 302–321. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  9. 9.
    Canard, S., Traoré, J.: On fair e-cash systems based on group signature schemes. In: Safavi-Naini, R., Seberry, J. (eds.) ACISP 2003. LNCS, vol. 2727, pp. 237–248. Springer, Heidelberg (2003)CrossRefGoogle Scholar
  10. 10.
    Dodis, Y., Kiayias, A., Nicolosi, A., Shoup, V.: Anonymous identification in ad hoc groups. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 609–626. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  11. 11.
    Dodis, Y., Yampolskiy, A.: A verifiable random function with short proofs and keys. In: Vaudenay, S. (ed.) PKC 2005. LNCS, vol. 3386, pp. 416–431. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  12. 12.
    Lee, W.-B., Yeh, C.-K.: A new delegation-based authentication protocol for use in portable communication systems. IEEE Trans. Wireless Commun. 4(1), 57–64 (2005)CrossRefGoogle Scholar
  13. 13.
    Liu, J.K., Wei, V.K., Wong, D.S.: Linkable Spontaneous Anonymous Group Signature for Ad Hoc Groups (extended abstract). In: Wang, H., Pieprzyk, J., Varadharajan, V. (eds.) ACISP 2004. LNCS, vol. 3108, pp. 325–335. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  14. 14.
    Micali, S., Ohta, K., Reyzin, L.: Accountable-subgroup multisignatures: extended abstract. In: ACM Conference on Computer and Communications Security, pp. 245–254 (2001)Google Scholar
  15. 15.
    Micali, S., Rabin, M.O., Vadhan, S.P.: Verifiable random functions. In: FOCS, pp. 120–130 (1999)Google Scholar
  16. 16.
    Nguyen, L.: Accumulators from Bilinear Pairings and Applications. In: Menezes, A. (ed.) CT-RSA 2005. LNCS, vol. 3376, pp. 275–292. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  17. 17.
    Nguyen, L., Safavi-Naini, R.: Dynamic k-Times Anonymous Authentication. Cryptology ePrint Archive, Report 2005/168 (2005), http://eprint.iacr.org/
  18. 18.
    Pedersen, T.P.: Non-interactive and information-theoretic secure verifiable secret sharing. In: Feigenbaum, J. (ed.) CRYPTO 1991. LNCS, vol. 576, pp. 129–140. Springer, Heidelberg (1992)Google Scholar
  19. 19.
    Rivest, R.L., Shamir, A., Tauman, Y.: How to leak a secret. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol. 2248, pp. 552–565. Springer, Heidelberg (2001)CrossRefGoogle Scholar
  20. 20.
    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
  21. 21.
    Teranishi, I., Furukawa, J., Sako, K.: k-Times Anonymous Authentication (Extended Abstract). In: Lee, P.J. (ed.) ASIACRYPT 2004. LNCS, vol. 3329, pp. 308–322. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  22. 22.
    Teranishi, I., Sako, K.: k-times anonymous authentication with a constant proving cost. In: Yung, M., Dodis, Y., Kiayias, A., Malkin, T.G. (eds.) PKC 2006. LNCS, vol. 3958, pp. 525–542. Springer, Heidelberg (2006)CrossRefGoogle Scholar
  23. 23.
    Trolin, M.: A universally composable scheme for electronic cash. In: Maitra, S., Veni Madhavan, C.E., Venkatesan, R. (eds.) INDOCRYPT 2005. LNCS, vol. 3797, pp. 347–360. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  24. 24.
    Tsang, P.P., Wei, V.K.: Short linkable ring signatures for e-voting, e-cash and attestation. In: Deng, R.H., Bao, F., Pang, H., Zhou, J. (eds.) ISPEC 2005. LNCS, vol. 3439, pp. 48–60. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  25. 25.
    Tsang, P.P., Wei, V.K., Chan, T.K., Au, M.H., Liu, J.K., Wong, D.S.: Separable Linkable Threshold Ring Signatures. In: Canteaut, A., Viswanathan, K. (eds.) INDOCRYPT 2004. LNCS, vol. 3348, pp. 384–398. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  26. 26.
    Wei, V.K.: Tracing-by-Linking Group Signatures. In: Zhou, J., López, J., Deng, R.H., Bao, F. (eds.) ISC 2005. LNCS, vol. 3650, pp. 149–163. Springer, Heidelberg (2005)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Man Ho Au
    • 1
  • Willy Susilo
    • 1
  • Siu-Ming Yiu
    • 2
  1. 1.Center for Information Security Research, School of Information Technology and Computer ScienceUniversity of WollongongWollongongAustralia
  2. 2.Department of Computer ScienceThe University of Hong KongPokfulam, Hong Kong

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