Message-dependent opening is one of the solutions to solve the problem of the tracing manager owns excessive power. In this paper, we present a new lattice-based fully dynamic group signature scheme with message-dependent opening by combining an improved version of the fully dynamic group signature scheme proposed by Ling et al and the double encryption paradigm. In addition, we propose an improved underlying zero knowledge protocol, it has a soundness error \(\frac {1}{\max (n,p)+1}\) that is better than the Stern-like protocol, which helps to bring down the communication complexity of the protocol and hence the signature scheme. Our scheme constrains the power of group managers by adding an admitter, and the signature size has a logarithmic relationship with the group size.

依赖于消息的打开是解决跟踪管理器拥有过多权限的问题的解决方案之一。在本文中，我们结合了Ling等人提出的完全动态组签名方案的改进版本和双重加密范式，提出了一种新的基于消息的开放式基于格的完全动态组签名方案。此外，我们提出了一种改进的基础零知识协议，它的健全性错误\（\ frac {1} {\ max（n，p）+1} \）比类似Stern的协议要好，这有助于降低了协议的通信复杂度，从而降低了签名方案。我们的方案通过添加一个添加器来限制组管理器的功能，并且签名大小与组大小具有对数关系。