Abstract
Since the discovery of identity based cryptography, a number of identity based signature schemes were reported in the literature. Although, a lot of identity based signature schemes were proposed, the only identity based deterministic signature scheme was given by Javier Herranz. This signature scheme uses Schnorr signature scheme for generating the private key of the users and uses BLS short signature scheme for generating users signature. The security of this scheme was proved in the random oracle model using forking lemma. In this paper, we introduce a new identity based deterministic signature scheme and prove the security of the scheme in the random oracle model, without the aid of forking lemma. Hence, our scheme offers tighter security reduction to the underlying hard problem than the existing identity based deterministic signature scheme.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Barreto, P.S.L.M., Libert, B., McCullagh, N., Quisquater, J.-J.: Efficient and provably-secure identity-based signatures and signcryption from bilinear maps. In: Roy, B. (ed.) ASIACRYPT 2005. LNCS, vol. 3788, pp. 515–532. Springer, Heidelberg (2005)
Bellare, M., Namprempre, C., Neven, G.: Security proofs for identity-based identification and signature schemes. Journal of Cryptology 22(1), 1–61 (2009)
Bellare, M., Rogaway, P.: The exact security of digital signatures - how to sign with RSA and rabin. In: Maurer, U.M. (ed.) EUROCRYPT 1996. LNCS, vol. 1070, pp. 399–416. Springer, Heidelberg (1996)
Boneh, D., Lynn, B., Shacham, H.: Short signatures from the weil pairing. Journal of Cryptology 17(4), 297–319 (2004)
Cha, J.C., Cheon, J.H.: An identity-based signature from gap diffie-hellman groups. In: Desmedt, Y.G. (ed.) PKC 2003. LNCS, vol. 2567, pp. 18–30. Springer, Heidelberg (2002)
Galindo, D., Garcia, F.D.: A schnorr-like lightweight identity-based signature scheme. In: Preneel, B. (ed.) AFRICACRYPT 2009. LNCS, vol. 5580, pp. 135–148. Springer, Heidelberg (2009)
Goh, E.-J., Jarecki, S.: A signature scheme as secure as the diffie-hellman problem. In: Biham, E. (ed.) EUROCRYPT 2003. LNCS, vol. 2656, pp. 401–415. Springer, Heidelberg (2003)
Goh, E.-J., Jarecki, S., Katz, J., Wang, N.: Efficient signature schemes with tight reductions to the diffie-hellman problems. Journal of Cryptology 20(4), 493–514 (2007)
Herranz, J.: Deterministic identity-based signatures for partial aggregation. The Computer Journal 49(3), 322–330 (2006)
Micali, S., Reyzin, L.: Improving the exact security of digital signature schemes. Journal of Cryptology 15(1), 1–18 (2002)
Okamoto, T., Pointcheval, D.: The gap-problems: A new class of problems for the security of cryptographic schemes. In: Kim, K.-c. (ed.) PKC 2001. LNCS, vol. 1992, pp. 104–118. Springer, Heidelberg (2001)
Pointcheval, D., Stern, J.: Security proofs for signature schemes. In: Maurer, U.M. (ed.) EUROCRYPT 1996. LNCS, vol. 1070, pp. 387–398. Springer, Heidelberg (1996)
Sakai, R., Ohgishi, K., Kasahara, M.: Cryptosystems based on pairing. In: The 2000 Symposium on Cryptography and Information Security, Okinawa, Japan, pp. 135–148 (January 2000)
Schnorr, C.-P.: Efficient identification and signatures for smart cards. In: Brassard, G. (ed.) CRYPTO 1989. LNCS, vol. 435, pp. 239–252. Springer, Heidelberg (1990)
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.: An efficient signature scheme from bilinear pairings and its applications. In: Bao, F., Deng, R., Zhou, J. (eds.) PKC 2004. LNCS, vol. 2947, pp. 277–290. Springer, Heidelberg (2004)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Sharmila Deva Selvi, S., Sree Vivek, S., Pandu Rangan, C. (2011). Identity-Based Deterministic Signature Scheme without Forking-Lemma. In: Iwata, T., Nishigaki, M. (eds) Advances in Information and Computer Security. IWSEC 2011. Lecture Notes in Computer Science, vol 7038. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25141-2_6
Download citation
DOI: https://doi.org/10.1007/978-3-642-25141-2_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25140-5
Online ISBN: 978-3-642-25141-2
eBook Packages: Computer ScienceComputer Science (R0)