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.
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References
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)
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)
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/
Au, M.H., Susilo, W., Yiu, S.-M.: Event-Oriented k-times Revocable-iff-Linked Group Signatures (2006) (Full version)
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)
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)
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)
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)
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)
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)
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)
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)
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)
Micali, S., Ohta, K., Reyzin, L.: Accountable-subgroup multisignatures: extended abstract. In: ACM Conference on Computer and Communications Security, pp. 245–254 (2001)
Micali, S., Rabin, M.O., Vadhan, S.P.: Verifiable random functions. In: FOCS, pp. 120–130 (1999)
Nguyen, L.: Accumulators from Bilinear Pairings and Applications. In: Menezes, A. (ed.) CT-RSA 2005. LNCS, vol. 3376, pp. 275–292. Springer, Heidelberg (2005)
Nguyen, L., Safavi-Naini, R.: Dynamic k-Times Anonymous Authentication. Cryptology ePrint Archive, Report 2005/168 (2005), http://eprint.iacr.org/
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)
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)
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)
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)
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)
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)
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)
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)
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)
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Au, M.H., Susilo, W., Yiu, SM. (2006). Event-Oriented k-Times Revocable-iff-Linked Group Signatures. In: Batten, L.M., Safavi-Naini, R. (eds) Information Security and Privacy. ACISP 2006. Lecture Notes in Computer Science, vol 4058. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11780656_19
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DOI: https://doi.org/10.1007/11780656_19
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