Abstract
Many variants of Chaum and van Antwerpen’s undeniable signatures have been proposed to achieve specific properties desired in real-world applications of cryptography. Among them, directed signatures were introduced by Lim and Lee in 1993. Directed signatures differ from the well-known confirmer signatures in that the signer has the simultaneous abilities to confirm, deny and individually convert a signature. The universal conversion of these signatures has remained an open problem since their introduction in 1993. This paper provides a positive answer to this quest by showing a very efficient design for universally convertible directed signatures (UCDS) both in terms of computational complexity and signature size. Our construction relies on the so-called xyz-trick applicable to bilinear map groups. We define proper security notions for UCDS schemes and show that our construction is secure in the random oracle model, under computational assumptions close to the CDH and DDH assumptions. Finally, we introduce and realize traceable universally convertible directed signatures where a master tracing key allows to link signatures to their direction.
Chapter PDF
Similar content being viewed by others
References
Araki, S., Uehara, S., Imamura, K.: The Limited Verifier Signature and Its Application. IEICE Trans. Fundamentals E82-A (1), 63–68 (1999)
Asokan, N., Shoup, V., Waidner, M.: Optimistic Fair Exchange of Digital Signatures. In: Nyberg, K. (ed.) EUROCRYPT 1998. LNCS, vol. 1403, pp. 591–606. Springer, Heidelberg (1998)
Bellare, M., Palacio, A.: The knowledge-of-exponent assumptions and 3-round zero-knowledge protocols. In: Franklin, M. (ed.) CRYPTO 2004. LNCS, vol. 3152, pp. 273–289. Springer, Heidelberg (2004)
Bellare, M., Rogaway, P.: Random Oracles are Practical: a Paradigm for Designing Efficient Protocols. In: Proc. of 1st ACM Conference on Computer and Communications Security, pp. 62–73 (1993)
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)
Boneh, D., Franklin, M.: Identity-based Encryption from the Weil Pairing. SIAM J. Computing 32(3), 586–615 (2003)
Boyar, J., Chaum, D., Damgå, I.B.: Convertible Undeniable Signatures. In: Menezes, A., Vanstone, S.A. (eds.) CRYPTO 1990. LNCS, vol. 537, pp. 189–205. Springer, Heidelberg (1991)
Bresson, E., Stern, J.: Proofs of Knowledge for Non-Monotone Discrete-Log Formulae and Applications. In: Chan, A.H., Gligor, V.D. (eds.) ISC 2002. LNCS, vol. 2433, pp. 272–288. Springer, Heidelberg (2002)
Camenisch, J., Michels, M.: Confirmer Signature Schemes Secure against Adaptive Adversaries. In: Preneel, B. (ed.) EUROCRYPT 2000. LNCS, vol. 1807, pp. 243–258. Springer, Heidelberg (2000)
Camenisch, J., Stadler, M.: Efficient Group Signature Schemes for Large Groups. In: Kaliski Jr., B.S. (ed.) CRYPTO 1997. LNCS, vol. 1294, pp. 410–424. Springer, Heidelberg (1997)
Chaum, D.: Designated Confirmer Signatures. In: De Santis, A. (ed.) EUROCRYPT 1994. LNCS, vol. 950, pp. 86–91. Springer, Heidelberg (1995)
Chaum, D., van Antwerpen, H.: Undeniable Signatures. In: Brassard, G. (ed.) CRYPTO 1989. LNCS, vol. 435, pp. 212–216. Springer, Heidelberg (1990)
Chaum, D., van Heijst, E., Pfitzmann, B.: Cryptographically Strong Undeniable Signatures Unconditionally Secure for the Signer. In: Feigenbaum, J. (ed.) CRYPTO 1991. LNCS, vol. 576, pp. 470–484. Springer, Heidelberg (1992)
Damgå, I.: Towards Practical Public Key Systems Secure Against Chosen Ciphertext Attacks. In: Feigenbaum, J. (ed.) CRYPTO 1991. LNCS, vol. 576, pp. 445–456. Springer, Heidelberg (1992)
Franklin, M.K., Reiter, M.K.: Verifiable Signature Sharing. In: Guillou, L.C., Quisquater, J.-J. (eds.) EUROCRYPT 1995. LNCS, vol. 921, pp. 50–63. Springer, Heidelberg (1995)
Goldwasser, S., Micali, S., Rivest, R.: A Digital Signature Scheme Secure against Adaptive Chosen-Message Attacks. SIAM J. Computing 17(2), 281–308 (1988)
Goldwasser, S., Waisbard, E.: Transformation of Digital Signature Schemes into Designated Confirmer Signature Schemes. In: Naor, M. (ed.) TCC 2004. LNCS, vol. 2951, pp. 77–100. Springer, Heidelberg (2004)
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)
Kiayias, A., Tsiounis, Y., Yung, M.: Traceable Signatures. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 571–589. 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)
Lim, C.H., Lee, P.J.: Modified Maurer-Yacobi’s Scheme and its Applications. In: Zheng, Y., Seberry, J. (eds.) AUSCRYPT 1992. LNCS, vol. 718, pp. 308–323. Springer, Heidelberg (1993)
Pointcheval, D., Stern, J.: Security Arguments for Digital Signatures and Blind Signatures. J. Cryptology 13(3), 361–396 (2000)
Zhang, F., Kim, K.: A Universal Forgery on Araki et al.’s Convertible Limited Verifier Signature Scheme. IEICE Trans. Fundamentals E86-A (2), 515–516 (2003)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Laguillaumie, F., Paillier, P., Vergnaud, D. (2005). Universally Convertible Directed Signatures. In: Roy, B. (eds) Advances in Cryptology - ASIACRYPT 2005. ASIACRYPT 2005. Lecture Notes in Computer Science, vol 3788. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11593447_37
Download citation
DOI: https://doi.org/10.1007/11593447_37
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-30684-9
Online ISBN: 978-3-540-32267-2
eBook Packages: Computer ScienceComputer Science (R0)Springer Nature Proceedings Computer Science
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.