针对先前的签名方案实现的效率不足,提出了格基在线/离线签名方案.该方案分为离线/在线两个阶段,离线阶段在未知消息的情况下进行大量的预计算,在获知消息的情况之后在在线阶段进行少量的计算.该方案仅在在线阶段对消息进行签名.最后,在小整数解假设下证明了新方案具有抗适应性选择消息攻击的强不可伪造性.与现有的方案相比,新方案实现效率高,安全性强,更能满足实际的需求. Aiming at the lack of efficiency of the previous signature scheme, this paper proposes a lattice-based online / offline signature scheme.The scheme is divided into two stages, offline / online, in which a large amount of pre-computation is performed under the condition of unknown message, After that, a small amount of computation was made in the online phase, which signed the message only in the online phase.Finally, under the assumption of small integer solution, the strong unforgeability of the new scheme against adaptive selective message attacks was proved.Compared with the existing schemes Compared to the new program to achieve high efficiency, security, and better meet the actual needs.