By using bilinear pairings technique, this paper presented a hierarchical identity based signature scheme in the standard model according to hierarchical identity based encryption scheme proposed by Boneh et al. The size of signature in the scheme is a constant and regardless of hierarchy depth of the signer. In the last,we proved the scheme is existential unforgeable against selective identity,selective chosen message attack in terms of the hardness of DHI problem.%利用双线性对技术,依据Boneh等人提出的分级的基于身份加密方案,设计了一个在标准模型下分级的基于身份的签名方案.方案中签名的大小是一个常量,且与签名者所在的层数无关.最后,对方案的安全性进行了分析,证明方案在Diffie-Hellman Inversion(DHI)困难问题的假设下满足选择消息和选择身份攻击下的存在不可伪造性.
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