Abstract
ID-based public key systems allow the user to use his/her identity as the public key, which can simplify key management procedure compared with CA-based public key systems. However, there is an inherent disadvantage in such systems: the problem of private key escrow, i.e., the “trusted” Private Key Generator (PKG) can easily impersonate any user at any time without being detected. Although the problem of escrowing the private key may be reduced by distributing the trust onto multiple centers, it will decrease the efficiency of the systems. Chen et al. first proposed a novel ID-based signature scheme without trusted PKG from bilinear pairings [10], i.e., there is only one PKG who is not assumed to be honest in their scheme. However, the signature scheme cannot be extended to a threshold one. In this paper we propose another ID-based signature scheme without trusted PKG from bilinear pairings. Moreover, we propose an ID-based threshold signature scheme without trusted PKG, which simultaneously overcomes the problem of key escrow and adopts the approach that the private key associated with an identity rather than the master key of PKG is shared.
This work was supported by a grant No.R12-2003-004-01004-0 from the Ministry of Science and Technology, Korea and the National Natural Science Foundation of China (No. 60403007).
This is a preview of subscription content, log in via an institution to check access.
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
Baek, J., Zheng, Y.: Identity-based threshold decryption. In: Bao, F., Deng, R., Zhou, J. (eds.) PKC 2004. LNCS, vol. 2947, pp. 248–261. Springer, Heidelberg (2004)
Baek, J., Zheng, Y.: Identity-based threshold signature scheme from the bilinear pairings. In: IAS 2004 track of ITCC 2004, pp. 124–128. IEEE Computer Society, Los Alamitos (2004)
Barreto, P.S.L.M., Kim, H.Y., Lynn, B., Scott, M.: Efficient algorithms for pairings-based cryptosystems. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 354–368. Springer, Heidelberg (2002)
Boneh, D., Franklin, M.: Identity-based encryption from the Weil pairings. 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 pairings. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol. 2248, pp. 514–532. Springer, Heidelberg (2001)
Cerccedo, M., Matsumoto, M., Imai, H.: Efficient and secure multiparty feneration of digital signatrues based on discrete logarithms. IEEE Trans. Fundamentals E76-A, 532–545 (1993)
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)
Chaum, D., Pedersen, T.P.: Wallet databases with observers. In: Brickell, E.F. (ed.) CRYPTO 1992. LNCS, vol. 740, pp. 89–105. Springer, Heidelberg (1993)
Chen, L., Kudla, C.: Identity based authenticated key agreement from pairings, Cryptology ePrint Archive, Report 2002/184
Chen, X., Zhang, F., Kim, K.: A new ID-based group signature scheme from bilinear pairings, Cryptology ePrint Archive, Report 2003/116
Frey, G., Rück, H.: A remark concerning m-divisibility and the discrete logarithm in the divisor class group of curves. Mathematics of Computation 62, 865–874 (1994)
Galbraith, S.D., Harrison, K., Soldera, D.: Implementing the Tate pairings. In: Fieker, C., Kohel, D.R. (eds.) ANTS 2002. LNCS, vol. 2369, pp. 324–337. Springer, Heidelberg (2002)
Gennaro, R., Jarecki, S., Krawczyk, H., Rabin, T.: Robust threshold DSS signatures. In: Maurer, U.M. (ed.) EUROCRYPT 1996. LNCS, vol. 1070, pp. 354–371. Springer, Heidelberg (1996)
Gentry, C., Siverberg, A.: Hierarchical ID-based cryptography. In: Zheng, Y. (ed.) ASIACRYPT 2002. LNCS, vol. 2501, pp. 548–566. Springer, Heidelberg (2002)
Gentry, C.: Certificate-based encryption and the certificate revocation problem. In: Biham, E. (ed.) EUROCRYPT 2003. LNCS, vol. 2656, pp. 272–293. Springer, Heidelberg (2003)
Girault, M.: Self-certified public keys. In: Davies, D.W. (ed.) EUROCRYPT 1991. LNCS, vol. 547, pp. 490–497. Springer, Heidelberg (1991)
Hess, F.: Efficient identity based signature schemes based on pairings. In: Nyberg, K., Heys, H.M. (eds.) SAC 2002. LNCS, vol. 2595, pp. 310–324. Springer, Heidelberg (2003)
Libert, B., Quisquater, J.: Efficient revocation and threshold pairing based cryptosystems. In: PODC 2003, pp. 163–171. ACM Press, New York (2003)
Menezes, A., Okamoto, T., Vanstone, S.: Reducing elliptic curve logarithms to logarithms in a finite field. IEEE Transaction on Information Theory 39, 1639–1646 (1993)
Paterson, K.G.: ID-based signatures from pairings on elliptic curves. Electron. Lett. 38(18), 1025–1026 (2002)
Shamir, A.: How to share a secret. Communications of the ACM 22, 612–613 (1979)
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)
Smart, N.P.: An identity based authenticated key agreement protocol based on the Weil pairings. Electron. Lett. 38(13), 630–632 (2002)
Stinson, D., Strobl, R.: Provably secure distributed Schnorr signatures and a (t,n) threshold scheme for implicit certificate. In: Varadharajan, V., Mu, Y. (eds.) ACISP 2001. LNCS, vol. 2119, pp. 417–434. Springer, Heidelberg (2001)
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)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Chen, X., Zhang, F., Konidala, D.M., Kim, K. (2004). New ID-Based Threshold Signature Scheme from Bilinear Pairings. In: Canteaut, A., Viswanathan, K. (eds) Progress in Cryptology - INDOCRYPT 2004. INDOCRYPT 2004. Lecture Notes in Computer Science, vol 3348. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30556-9_29
Download citation
DOI: https://doi.org/10.1007/978-3-540-30556-9_29
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-24130-0
Online ISBN: 978-3-540-30556-9
eBook Packages: Computer ScienceComputer Science (R0)