基于椭圆曲线的高效分级群签名

为了满足现代电子商务和电子政务的高性能需求, 提出一种高效的分级群签名方案。方案通过对椭圆曲线签名方案进行改进, 避免了耗时的模逆、模乘运算, 并减少了一次点乘运算, 提高了签名和验证算法的效率。在此基础上构造了一个高效的群签名方案, 引入消息等级表, 提出了一个基于椭圆曲线的高效分级群签名方案。经分析表明, 该方案大大缩短了分级群签名和验证的时间, 与现有方案相比, 具有更高的效率和安全性, 同时具有椭圆曲线密码体制的优点, 适用于智能系统中, 实用性强。

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.