This paper constructed a two-level signature scheme based on BB signature based on SDH assumption. By making certain reasonable assumptions and applying the technique of non-interactive proof system, a full anonymous dynamic short group signature scheme with the standard model was presented. The scheme was proved to satisfy the secure request of BSZ model. Compared with the latest other schemes, the scheme is more efficient and of shorter length of group signature. It allows new member to join in the group dynamically, and the group manager cannot forge any member's signature.%基于SDH假设下BB签名方案,构造了一个两层签名方案,通过应用合理的假设和非交互知识证明系统,提出了一种标准模型下完全匿名的动态短群签名方案,并证明了该方案满足BSZ模型的安全需求.与最近的其他方案相比,该方案具有较高的运行效率和较短的签名长度,且允许新成员的动态加入,群管理员不能伪造成员的签名.
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