Research And Implementation Of Provable Security Non-Interactive Dynamic Group Signature In Standard Model

With the rapid advancement of network technology,in the open network environment,there are huge hidden dangers in the leakage of the user's personal privacy,especially the traditional digital signature technology,Owing to it carries personal identity information,so in some security protocols such as SSL,personal privacy will undoubtedly be exposed during the verification process.The group signature is different from the traditional signature,in the process of signing,it ensures the security attributes of group members,such as anonymity,traceability and non-frameability,which can solve the problem of privacy leakage of traditional digital signature.As a result,relevant research institutions and enterprises at home and abroad have carried out a series of research on group signature.Based on the research literature of group signature at home and abroad,aiming at the problems of security and performance of the existing group signature schemes,a provable security non-interactive dynamic group signature scheme in the standard model is proposed.Firstly,the formal definition of the dynamic group signature scheme and the definition of the system security model are given,and then based on the formal definition of the scheme,qSDH assumption and DLIN assumption,as well as using the cryptographic tools such as Groth-Sahai non-interactive proof system,verifiable encryption technology and BLS signature algorithm,the construction of the scheme is realized.In terms of security,three attributes of security-anonymity,traceability and non-frameability are formally defined,and proved in the standard model,reduced to q-SDH assumption and DLIN assumption respectively.Then,the security and performance of the scheme proposed in this paper are compared with other group signature schemes which have the same security properties.The analysis shows that the proposed non-interactive dynamic group signature scheme has comprehensive advantages in security and performance.Finally,the system simulation is carried out for the scheme proposed in this thesis.Based on the operating system of Ubuntu,and on the basis of Crypto + + and j PBC cryptography library,C + + and Java language are used in server side and client side respectively to achieve the initialization function of the scheme,the dynamic adding function of group members,and the signature and verification function.Then,the performance of signature algorithm and verification algorithm are tested,On the CPU: INTEL XEON E3-1230 V3 3.3GHz hardware platform,the signature algorithm can be implemented every 58.28 ms on average,while the verification algorithm can be implemented every 226.28 ms on average.Therefore,it can be concluded that the proposed non-interactive dynamic group signature scheme satiates the actual performance requirements.