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目前分层的基于身份的签名方案已在不同的密码应用中得到广泛地研究,但由于量子计算机的出现,现有部分方案仍存在安全问题.根据Cash方案中的思想,文中利用随机整格的难题和格基派生技术,以及将签名消息和用户身份id绑定嵌入,构造了一个新的分层的基于身份的签名方案.新方案在标准模型的安全证明下是具有抵御选择身份攻击的安全.同时,由于所提出的新方案是建立在格LWE问题难解性的基础上,因此,在现有的量子计算能力下,新方案比现有基于计算Diffie-Hellman问题的困难性设计的分层的基于身份的签名方案的安全性高.
At present, the hierarchical identity-based signature scheme has been widely studied in different cryptographic applications, but some existing schemes still have security problems due to the emergence of quantum computers.Based on the idea of Cash scheme, Problem and lattice-based derivative technology, and the binding of signature information and user identity id to construct a new hierarchical identity-based signature scheme.The new scheme has the ability to resist selective identity attacks under the security of the standard model At the same time, because the proposed new scheme is based on the difficulty of solving the lattice LWE problem, under the existing quantum computing power, the new scheme is more efficient than the existing difficult design based on computing Diffie-Hellman problem Layer-based identity-based signature schemes are highly secure.