中文摘要：

阐述有限域上椭圆曲线的数字签名方案。椭圆曲线密码体制中,模逆操作是影响数字签名效率的主要因素之一,考虑到模逆操作对数字签名效率的影响,提出2个新的不需要模逆运算的基于椭圆曲线的数字签名方案,该方案在安全性增强的同时签名效率有很大提高,最后,对2种新的签名做了性能分析评估。

英文摘要：

This paper first describes the digital signature scheme on elliptic curves over finite fields.In elliptic curve cryptography,modular inverse operation is one of the main factors affecting the efficiency of digital signature.Taking into account the modular inverse operation effect on digital signature efficiency,this paper puts forward two new digital signature scheme based on elliptic curve,which don′t need modular inversion.The new signature has been greatly improved in the enhanced security and efficiency.In the end,this paper analyzes the evaluation of performance of two kinds of new signature.