摘要
Hierarchical identity-based signature (HIBS) has wide applications in the large network. However,the existing works cannot solve the trade-off between the security and efficiency. The main challenge at present is to construct a high efficient and strong secure HIBS with a low computation cost. In this paper,a new construction of HIBS scheme is proposed. The new scheme achieves the adaptive security which is a strong security in the identity-based cryptography. But our scheme has short public parameters and the private keys size shrinks as the hierarchy depth increases. The signature size is a constant and the cost of verification only requires four bilinear pairings,which are independent of hierarchy depth. Furthermore,under the q-strong computational diffie-Hellman problem (q-SDH) assumption,the scheme is provably secure against existential forgery for adaptive chosen message and identity attack in the standard model.
Hierarchical identity-based signature (HIBS) has wide applications in the large network. However,the existing works cannot solve the trade-off between the security and efficiency. The main challenge at present is to construct a high efficient and strong secure HIBS with a low computation cost. In this paper,a new construction of HIBS scheme is proposed. The new scheme achieves the adaptive security which is a strong security in the identity-based cryptography. But our scheme has short public parameters and the private keys size shrinks as the hierarchy depth increases. The signature size is a constant and the cost of verification only requires four bilinear pairings,which are independent of hierarchy depth. Furthermore,under the q-strong computational diffie-Hellman problem (q-SDH) assumption,the scheme is provably secure against existential forgery for adaptive chosen message and identity attack in the standard model.
基金
supported by the National Natural Science Foundation of China (60970119, 60803149)
the National Basic Research Program of China (2007CB311201)
the Fundamental Research Funds for the Central Universities