Abstract
Key exposures bring out very serious problems in security services. Especially, it is more severe in the applications such as electronic cash or electronic payment where money is directly involved. Forward secrecy is one of the security notions addressing the key exposure issues. Roughly speaking, forward secrecy is aimed to protect the validity of all actions using the secret key before the key exposure. In this paper, we investigate the key exposure problem in blind signature (with an application to the electronic cash in mind) and propose a blind signature scheme which guarantees forward secrecy. Our scheme is constructed from the provably secure Okamoto-Guillou-Quisquater (OGQ for short) blind signature scheme. Using the forking lemma by Pointcheval and Stern [4], we can show the equivalence between the existence of a forger with the solvability of the strong RSA problem. Further we show that our scheme introduces no significant communication overhead comparing with the original OGQ scheme.
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References
Chaum, D.: Blind Signatures For Untraceable Payments. In: Advances in Cryptology – CRYPTO 1982, pp. 199–204. Plenum Publishing, New York (1982)
Anderson, R.: Two Remarks on Public Key Cryptography. In: Invited Lecture, Fourth Annual Conference on Computer and Communications Security, ACM, New York (1997)
Guillou, L.S., Quisquater, J.J.: A Practical Zero-Knowledge Protocol Fitted to Security Microprocessors Minimizing both Transmission and Memory. In: Günther, C.G. (ed.) EUROCRYPT 1988. LNCS, vol. 330, pp. 123–128. Springer, Heidelberg (1988)
Pointcheval, D., Stern, J.: Provably Secure Blind Signatures Schemes. In: Kim, K.-c., Matsumoto, T. (eds.) ASIACRYPT 1996. LNCS, vol. 1163, pp. 252–265. Springer, Heidelberg (1996)
Itkis, G., Reyzin, L.: Forward-Secure Signatures with Optimal Signing and Verifying. In: Kilian, J. (ed.) CRYPTO 2001. LNCS, vol. 2139, pp. 332–354. Springer, Heidelberg (2001)
Bellare, M., Miner, S.K.: A Forward-Secure Digital Signature Scheme. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 431–448. Springer, Heidelberg (1999)
Zhang, F., Kim, K.: ID-Based Blind Signature and Ring Signature from Pairings. In: Zheng, Y. (ed.) ASIACRYPT 2002. LNCS, vol. 2501, pp. 533–547. Springer, Heidelberg (2002)
Okamoto, T.: Provably Secure and Practical Identification Schemes and Corresponding Signature Schemes. In: Brickell, E.F. (ed.) CRYPTO 1992. LNCS, vol. 740, pp. 31–53. Springer, Heidelberg (1993)
Juels, A., Luby, M., Ostrovsky, R.: Security of Blind Signatures. In: Kaliski Jr., B.S. (ed.) CRYPTO 1997. LNCS, vol. 1294, pp. 150–164. Springer, Heidelberg (1997)
Crammer, R., Shoup, V.: Signature Scheme Based on the Strong RSA Assumption. ACM Transactions on Information and System Security 3, 161–185 (2000)
Schnorr, C.P.: Security of Blind Discrete Log Signatures Against Interactive Attacks. In: Qing, S., Okamoto, T., Zhou, J. (eds.) ICICS 2001. LNCS, vol. 2229, pp. 1–12. Springer, Heidelberg (2001)
Wagner, D.: Generalized Birthday Problem. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 288–303. Springer, Heidelberg (2002)
Hamdy, S., Moller, B.: Security of Cryptosystems Based on Class Groups of Imaginary Quadratic Orders. In: Okamoto, T. (ed.) ASIACRYPT 2000. LNCS, vol. 1976, pp. 234–247. Springer, Heidelberg (2000)
Boneh, D., Venkatesan, R.: Breaking RSA May Not Be Equivalent to Factoring. In: Nyberg, K. (ed.) EUROCRYPT 1998. LNCS, vol. 1403, pp. 59–71. Springer, Heidelberg (1998)
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Duc, D.N., Cheon, J.H., Kim, K. (2003). A Forward-Secure Blind Signature Scheme Based on the Strong RSA Assumption. In: Qing, S., Gollmann, D., Zhou, J. (eds) Information and Communications Security. ICICS 2003. Lecture Notes in Computer Science, vol 2836. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39927-8_2
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DOI: https://doi.org/10.1007/978-3-540-39927-8_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20150-2
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