We propose the first lattice-based dynamic group signature scheme achieving forward security. Our scheme is proven to be secure against framing attack, misidentification attack and preserves anonymity under the learning with errors (${\mathsf{LWE}}$) and short integer solution (${\mathsf{SIS}}$) assumptions in the random oracle model. More interestingly, our setting allows the group manager to generate distinct certificates to distinct users which can be updated by the users themselves without any interaction with the group manager. Furthermore, our scheme is dynamic where signing key of a user is not fixed during the setup and is issued only at the joining time of the user.

中文翻译：

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网格中的组签名可在动态设置中保留前向安全性

我们提出了第一种实现前向安全性的基于格的动态组签名方案。经证明，我们的方案可防止帧攻击，误识别攻击，并在学习中保留错误（$ {\ mathsf {LWE}} $）和短整数解（$ {\ mathsf {SIS}} $）假设下的匿名性。随机预言模型。更有趣的是，我们的设置允许组管理员为不同的用户生成不同的证书，这些证书可由用户自己更新，而无需与组管理员进行任何交互。此外，我们的方案是动态的，其中在设置过程中用户的签名密钥不固定，仅在用户加入时才发布。