Abstract
In this paper, we present the first concrete example of identity-based undeniable signature with selective and universal convertibility, where the signer can release a selective proof to make a single undeniable signature publicly verifiable, or publish a universal proof to convert all his undeniable signatures into ordinary digital signatures. Furthermore, we also formalized the security models of identity-based convertible undeniable signatures. The new models capture more essence of the property “convertibility” of identity-based undeniable signatures, compared with other known security models. Our scheme can be regarded as an improvement of Libert and Quisquater’s identity-based undeniable signature scheme published in CT-RSA 2004. The security of our scheme is formally proven in the random oracle model under some well-known complexity assumptions. Its unforgeability relies on the hardness of the Computational Diffie-Hellman problem, while the invisibility (and anonymity) is based on the hardness of Decisional Bilinear Diffie-Hellman problem.
Supported by ARC Discovery Grant DP0557493 and DP0663306.
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References
Boyar, J., Chaum, D., Damgård, I.B., Pedersen, T.P.: Convertible Undeniable Signatures. In: Menezes, A., Vanstone, S.A. (eds.) CRYPTO 1990. LNCS, vol. 537, pp. 189–205. Springer, Heidelberg (1991)
Boneh, D., Franklin, M.: Identity-based Encryption from the Weil Pairing. In: Kilian, J. (ed.) CRYPTO 2001. LNCS, vol. 2139, pp. 213–229. Springer, Heidelberg (2001)
Boneh, D., Lynn, B., Shacham, H.: Short Signatures from the Weil Pairing. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol. 2248, pp. 514–532. Springer, Heidelberg (2001)
Chaum, D., van Antwerpen, H.: Undeniable Signatures. In: Brassard, G. (ed.) CRYPTO 1989. LNCS, vol. 435, pp. 212–216. Springer, Heidelberg (1990)
Chow, S.S.M.: Verifiable Pairing and Its Applications. In: Lim, C.H., Yung, M. (eds.) WISA 2004. LNCS, vol. 3325, pp. 170–187. Springer, Heidelberg (2005)
Camenisch, J., Shoup, V.: Practical Verifiable Encryption and Decryption of Discrete Logarithms. In: Boneh, D. (ed.) CRYPTO 2003. LNCS, vol. 2729, pp. 126–144. Springer, Heidelberg (2003)
Damgård, I.B., Pedersen, T.P.: New Convertible Undeniable Signature Schemes. In: Maurer, U.M. (ed.) EUROCRYPT 1996. LNCS, vol. 1070, pp. 372–386. Springer, Heidelberg (1996)
Galbraith, S.D., Mao, W., Paterson, K.G.: RSA-Based Undeniable Signatures for General Moduli. In: Preneel, B. (ed.) CT-RSA 2002. LNCS, vol. 2271, pp. 200–217. Springer, Heidelberg (2002)
Galbraith, S.D., Mao, W.: Invisibility and Anonymity of Undeniable and Confirmer Signatures. In: Joye, M. (ed.) CT-RSA 2003. LNCS, vol. 2612, pp. 80–97. Springer, Heidelberg (2003)
Gennaro, R., Krawczyk, H., Rabin, T.: RSA-Based Undeniable Signatures. In: Kaliski Jr., B.S. (ed.) CRYPTO 1997. LNCS, vol. 1294, pp. 132–149. Springer, Heidelberg (1997)
Gennaro, R., Rabin, T., Krawczyk, H.: RSA-Based Undeniable Signatures. Journal of Cryptology 13(4), 397–416 (2000)
Jakobsson, M., Sako, K., Impagliazzo, R.: Designated Verifier Proofs and Their Applications. In: Maurer, U.M. (ed.) EUROCRYPT 1996. LNCS, vol. 1070, pp. 143–154. Springer, Heidelberg (1996)
Galindo, D., Herranz, J., Kiltz, E.: On the Generic Construction of Identity-Based Signatures with Additional Properties. In: Lai, X., Chen, K. (eds.) ASIACRYPT 2006. LNCS, vol. 4284, pp. 178–193. Springer, Heidelberg (2006)
Han, S., Yeung, W.K.Y., Wang, J.: Identity-based Confirmer Signatures from Pairings over Elliptic Curves. In: Proceedings of the 4th ACM Conference on Electronic Commerce, pp. 262–263. ACM Press, New York (2003)
Libert, B., Quisquater, J.-J.: Identity Based Undeniable Signatures. In: Okamoto, T. (ed.) CT-RSA 2004. LNCS, vol. 2964, pp. 112–125. Springer, Heidelberg (2004)
Laguillaumie, F., Vergnaud, D.: Time-Selective Convertible Undeniable Signatures. In: Menezes, A. (ed.) CT-RSA 2005. LNCS, vol. 3376, pp. 154–171. Springer, Heidelberg (2005)
Miyazaki, T.: An Improved Scheme of the Gennaro-Krawczyk-Rabin Undeniable Signature System Based on RSA. In: Won, D. (ed.) ICISC 2000. LNCS, vol. 2015, pp. 135–149. Springer, Heidelberg (2001)
Michels, M., Petersen, H., Horster, P.: Breaking and Repairing a Convertible Undeniable Signature Scheme. In: Third ACM Conference on Computer and Communications Security, pp. 148–152. ACM Press, New York (1996)
Michels, M., Stadler, M.: Efficient Convertible Undeniable Signature Schemes. In: The 4th International Workshop on Selected Areas in Cryptography (SAC 1997), pp. 231–244 (1997)
Ogata, W., Kurosawa, K., Heng, S.-H.: The Security of the FDH Variant of Chaum’s Undeniable Signature Scheme. In: Vaudenay, S. (ed.) PKC 2005. LNCS, vol. 3386, pp. 328–345. Springer, Heidelberg (2005)
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)
Zhang, F., Safavi-Naini, R., Susilo, W.: Attack on Han et al.’s ID-based Confirmer (Undeniable) Signature at ACM-EC 2003 (2003), http://eprint.iacr.org/2003/129
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Wu, W., Mu, Y., Susilo, W., Huang, X. (2008). Provably Secure Identity-Based Undeniable Signatures with Selective and Universal Convertibility. In: Pei, D., Yung, M., Lin, D., Wu, C. (eds) Information Security and Cryptology. Inscrypt 2007. Lecture Notes in Computer Science, vol 4990. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79499-8_4
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