Efficient hierarchical group signature based on elliptic curve

This paper presented an efficient hierarchical group signature scheme which could meet the high performance needs of modern e-commerce and e-government. First,the scheme improved the elliptic curve digital signature scheme,which avoided time-consuming modular inverse,the modular multiplication and reduced once point multiplication. Thus it improved the efficiency of the signature and verification algorithms. Then the scheme constructed an efficient group signature scheme based on the improved ECDSA. Finally,the program combined with message level table and put forward an efficient hierarchical group signature scheme based on elliptic curve. The analysis shows that the scheme greatly shortens the hierarchical group signature and verification time. Compared with existing schemes,the new scheme has high efficiency and greater safety. It also has strong practicability and the advantages of the elliptic curve cryptosystem. What's more,it is applicable to intelligent systems.