An Improved Group Signature Scheme Based On Chinese Remainder Theorem

Modern network technology has brought convenience to our work and daily life.Network technology has changed people’s traditional production and life style.However,the situation of network information security is grim.Network attacks,harmful programs,information leakage and other network security incidents occur from time to time.Cryptographic technology is the core of information security technology.Cryptographic technology mainly includes two parts: Cryptographic coding technology and cryptographic analysis technology.These two branches are unity of opposites,and it is this relationship that promotes the continuous development of cryptography.In cryptography,group signature is a group oriented signature scheme.The group signature scheme allows any group member to encrypt a file anonymously on behalf of the whole group.Only when necessary can the group administrator reveal the identity of the signer.In the era of big data,group signature schemes are widely used,such as public resource management,e-cash business,military field and so on.Based on the practical application requirements of group signature,the urgent problems to be solved at this stage are how to simply and quickly join or revoke group members,how to ensure the security of group members’ private keys,and how to effectively resist the joint attacks of group members.In the process of solving the above problems,some scholars have proposed that a new group signature scheme can be formulated by combining the excellent achievement of ancient Chinese mathematics-Chinese remainder theorem.However,according to the current research results,most group signature schemes based on Chinese remainder theorem have certain problems.This dissertation studies group signature schemes based on the Chinese remainder theorem.The main results are as follows:(1)The traditional group signature scheme is improved by using the Chinese remainder theorem,so that the generation of the signature secret key is determined by the group center and the group members,which can effectively resist the framing attack of the group center administrator and have better anti joint attack.(2)A group signature scheme based on the Chinese remainder theorem is designed,and the private key distribution of group members is designed by using the discrete logarithm method and the quadratic signature principle.Based on the difficult problem of discrete logarithm,the group member private key has better confidentiality.Figure [5] Table [0] Reference [55]...