中文摘要：

当前，数论已被广泛运用于公钥密码学，而公钥密码学的一个重要运用就是数字签名，在大多数情况下，签名通常是一个人，然而当所需签名的消息代表一个群体时就需要群体中的一部分人同意，门限签名方案就被用作解决这个问题，文章运用ELGamal公钥密码理论和Schnorr理论，提出了一个基于孙子定理的（t，n）门限群签名方案．

英文摘要：

Nowadays number theory is used widely in public-key cryptography. The idea of public-key cryptography can be used to obtain digital signatures. In most of situations, the signer is generally a single person. However, when the message is on behalf of an organization, a valid message may require the approval or consent of part of people. Threshold signature is an answer to this problem. This paper proposes a threshold signature scheme based on the Chinese Remainder Theorem and Sehnorr＇s signature scheme.