Adaptively secure hierarchical identity-based signature in the standard model |
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Authors: | ZHANG Le-you HU Yu-pu WU Qing |
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Affiliation: | Department of Mathematics Science,Xidian University,Xi'an 710071,China 2. Key Laboratory of Computer Networks and Information Security,Xidian University,Xi'an 710071,China 3. School of Automation,Xi'an Institute of Posts and Telecommunications,Xi'an 710121,China |
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Abstract: | 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 secret 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. |
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Keywords: | Hierarchical identity-based signature adaptive security standard model q-SDH problem provably secure |
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