Efficient Special Group Signature Scheme

Abstract:Digital signature technology is an important means of network information security.Group signature is a special digital signature and has additional security attributes.However,with the rapid development of e-commerce and e-government and lots of special requirements,the existing group signature scheme is difficult to solve these specific application environments.So special group signature schemes have been proposed,and become worthy of group signature hot study spots.But these schemes are less than ideal performance and not high efficiency.It is difficult to meet the need of the modern e-commerce and e-government development.So it is urgent for efficient special group signature schemes.In order to study the efficiency of the special group signature scheme,the thesis does lots of research and analysis on hierarchical group signature schemes and the multi-group signature schemes.During the research,firstly,the thesis does in-depth research and analysis on the elliptic curve digital signature scheme,and improves it.And design a hierarchical group signature scheme which is based on the improved elliptic curve digital signature scheme and prove its safety and efficiency. secondly,the thesis combines the elliptic curve digital signature with Schnorr digital signature together,adds a timestamp,designs a multi-group signature scheme,and prove the safety and efficiency of the scheme. Finally,the thesis designs a safe and efficient dynamic group signature scheme,and finishes multi-signature on the improved elliptic curve digital signature.So another multi-group signature scheme is designed,and is safety and high efficiency.This thesis designs an efficient hierarchical group signature scheme and two efficient multi-group signature schemes.Through the security and performance analysis of the scheme,these schemes are more efficient and better performance compared with other existing schemes and can resist common attacks,which partly meet the requirements of efficient and high-performance of modern e-commerce and e-government.6figures,4tables,65references.