Efficient ID-based proxy multi-signature scheme secure in random oracle

Abstract

Proxy signature schemes enable an entity to delegate its signing rights to any other party, called proxy signer. As a variant of proxy signature primitive, proxymultisignature allows a group of original signers to delegate their signing capabilities to a single proxy signer in such a way that the proxy signer can sign a message on behalf of the group of original signers. We propose a concrete ID-based proxy multi-signature scheme from bilinear pairings. The proposed scheme is existential unforgeable against adaptively chosen message and given ID-attack in random oracle model under the computational Diffie-Hellman (CDH) assumption. The fascinating property of new scheme is that the size of a proxy multi-signature is independent of the number of original signers. Furthermore the proposed scheme is simple and computationally more efficient than other ID-based proxy multisignature schemes.

Keywords

ID-based signature scheme / bilinear pairings / proxy multi-signature / computational Diffie-Hellman problem (CDHP) / random oracle

References

[1] Shamir A. Identity-based cryptosystem and signature scheme. In: Proceedings of Crypto’84 on Advances in cryptology. 1984, 47-53

[2] Hesss F. Efficient identity based signature schemes based on pairings. In: Proceedings of the 9th Annual International Workshop on Selected Areas in Cryptography. 2003, 310-324

[3] Paterson K G. ID-based signatures from pairings on elliptic curves. IEEE Electronic Letters, 2002, 38(18): 1025-1026

[4] Tanaka H. A realization scheme for the identity-based cryptosystem. In: Proceedings of CRYPTO ’87 Conference on the Theory and Applications of Cryptographic Techniques on Advances in Cryptology. 1987, 340-349

[5] Tsuji S, Itoh T. An ID-based cryptosystem based on the discrete logarithm problem. IEEE Journal of Selected Areas in Communications, 1989, 7(4): 467-473

[6] Boneh D, Franklin M K. Identity-based encryption from the Weil pairing. In: Proceedings of 21st Annual International Cryptology Conference. 2001, 213-229

[7] Cha J C, Cheon J H. An identity-based signature from gap Diffie- Hellman groups. In: Proceedings of the 6th International Workshop on Theory and Practice in Public Key Cryptography. 2003, 18-30

[8] Smart N P. An identity based authenticated key agreement protocol based on theWeil pairing. IEEE Electronic Letters, 2002, 38(13): 630-632

[9] Yi X. An identity-based signature scheme from the Weil pairing. IEEE Communications Letters, 2003, 7(2): 76-78

[10] Mambo M, Usuda K, Okamoto E. Proxy signatures: delegation of the power to sign messages. IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences, 1996, E79-A (9): 1338-1354

[11] Yi L, Bai G, Xiao G. Proxy multi-signature scheme: a new type of proxy signature scheme. IEEE Electronics Letters, 2000, 36(6): 527-528

[12] Li X, Chen K, Li S. Multi-proxy signature and proxy multi-signature schemes from bilinear pairings. In: Proceedings of the 5th International Conference on Parallel and Distributed Computing: Applications and Technologies. 2004, 591-595

[13] Li X, Chen K. ID-based multi-proxy signature, proxy multi-signature and multi-proxy multi-signature schemes from bilinear pairings. Applied Mathematics and Computation, 2005, 169(1): 437-450

[14] Lee B, Kim H, Kim K. Strong proxy signature and its applications. In: Proceedings of 2001 Symposium on Cryptography and Information Security. 2001, 603-608

[15] Gu C X, Pan H, Zhu Y F. A new ID-based proxy multi-signature scheme from bilinear pairings. Wuhan University Journal of Natural Sciences, 2006, 11(1): 193-197

[16] Wang Q, Cao Z. Identity based proxy multi-signature. Journal of Systems and Software, 2007, 80(7): 1023-1029

[17] Gentry C, Ramzan Z. Identity-based aggregate signatures. In: Proceedings of 9th International Conference on Theory and Practice of Public- Key Cryptography. 2006, 257-273

[18] Shao Z. Improvement of identity-based proxy multi-signature scheme. Journal of Systems and Software, 2009, 82(5): 794-800

[19] Cao F, Cao Z. A secure identity-based proxy multi-signature scheme. Information Sciences, 2009, 179(3): 292-302

[20] Boldyreva A, Palacio A,Warinschi B. Secure proxy signature schemes for delegation of signing rights. 2003, http://eprint.iacr.org/2003/096

[21] Wang, Q, Cao Z. Security arguments for partial delegation with warrant proxy signature schemes. 2004, http://eprint.iacr.org/2004/315

[22] Wang Q, Cao Z, Wang S. Formalized security model of multi-proxy signature schemes. In: Proceedings of the 5th International Conference on Computer and Information Technology. 2005, 668-672

[23] Xu J, Zhang Z, Feng D. ID-based proxy signature using bilinear pairings. In: Proceedings of International Workshop on Information Assurance in Distributed Systems. 2005, 359-367

RIGHTS & PERMISSIONS

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg