Research On Certificateless Group Signature Scheme Based On Bilinear Pairings

With the development of information society,from bank passbook to credit card,from Tencent QQ to Wechat,from cash to Alipay,from national debt to securities,as well as the recent attention of the Bitcoin and block chain,and so on,information is at an immeasurable speed to penetrate all aspects of people's lives.With the great convenience information brings to us,the problem of security,confidentiality and identity authentication in the process of transmission also brings a challenge to the research of information security.As one of the core technologies of information security,digital signature mainly provides identity authentication for sender and receiver of message,which solves the problem of difficulty of key management and non-repudiation in traditional cryptosystem.From the traditional cryptosystem to the current public key cryptosystem,a lot of signature schemes are put forward,in this paper,some deficiencies are found in the signature application with special signature,and the following work is done:(1)According to the idea of certificateless signature,the formal definition of certificateless group signature is proposed based on the application scenario of group signature.The generation of the user's private key and the public key from the system parameters,and the idea of having certificateless,makes the user's private key and public key more security,on the basis of which the group signature scheme is implemented;(2)Based on bilinear pairings and mathematical difficulties,the idea of(2,2)threshold signature is applied to the cooperation of Group Administrators and group members in the process of signing,and a new certificateless group signature scheme is proposed;(3)The security analysis and performance analysis of the proposed scheme,the proposed signature scheme effectively satisfies the signature requirements under the certificateless public key cryptosystem,and it's safe and effective.At last,we summarize the discussion and research in this paper,and look forward to the research direction in the future development of the certificateless group signature.