Abstract: An efficient ID-based partially blind signature scheme is proposed based on gap diffie-hellman group.In this scheme，the dishonest Private Key Generator（PKG） can not impersonate any user at any time.Then a new ID-based threshold partially blind signature scheme is proposed based on the ID-based partially blind signature scheme.The main idea of the scheme is based on Feldman’s verifiable secret sharing scheme which is simple to implement with high secure character.Up to now，it is the first pairing-based cryptography on ID-based threshold partially blind signature.Analysis shows that the proposed scheme is secure and effective.It has provable security properties of blindness，unforgeability and robustness.

摘要： 基于间隙Diffie-Hellman（GDH）群的特点，首先提出了一个有效的基于身份的部分盲签名方案，能够防止私钥产生中心（PKG）伪造签名。而后用所提的部分盲签名方案构造了基于身份的新型门限部分盲签名方案。文中的构造思想主要基于Feldman的可证实秘密共享方案，具有实现简单但安全性高的特点。到目前为止，该方案是第一类用双线性对来构造的基于身份的门限部分盲签名方案。分析表明，所提方案具有部分盲性、不可伪造性和强壮性等特性，是安全、有效的。