Abstract: In this paper，a forward-secure threshold signature scheme based on the Asmuth－Bloom threshold scheme is proposed.Its security is based on the difficulty of solving discrete logarithm in finite field and quadratic residue on some special conditions.The scheme can not merely guarantee the security of the signature in the past after the key is revealed，and the security of the one that can have guaranteed to sign at the present stage and signature not signed，thus can reduce the losses greatly.

摘要： 基于Asmuth－Bloom门限方案，设计了一种新的前向安全的门限签名方案，其安全性基于有限域上求解离散对数的困难性和在特定条件下求解二次剩余问题的困难性。该方案在密钥泄露后，不仅可保证以前签名的安全性，而且可保证现阶段已签的和未签的签名的安全性，从而可以大大降低密钥泄露带来的损失。