中文摘要：

无证书密码体制（CL—PKC）是一类新型公钥密码体制．它保持了基于身份的密码体制（ID—PKC）不需要使用公钥证书的优点，又较好地解决了基于身份的公钥体制所固有的密钥托管问题．对无证书体制下安全高效的签名方案的设计方法的研究是受到高度关注的研究课题．文中给出了一类无证书签名方案的构造方法，并在一个很强的安全模型下对用该方法所构造的方案的安全性进行了证明．文中对新构造的方案与已有的一些同类方案的性能进行了比较．结果显示新方案在整体性能上有一定的优势．

英文摘要：

Certificateless public key cryptography （CL-PKC） is a new paradigm in public key cryptography. It effectively solves the inherent key escrow problem in identity based public key cryptography （ID-PKC） while keeps its certificate free property. Designing efficient and secure signature schemes in certificateless public key setting is an interesting research topic that attracts the attentions of many researchers. This paper proposes a new method to construct a class of certificateless signature schemes. The schemes constructed using the new method can be proven secure in a very strong security model. The overall performances of the authors＇ newly constructed schemes are better than that of the other certificateless signature schemes available in the literature.