关键词: 椭圆曲线数字签名, 伪造攻击, 安全性, 模逆运算

Abstract:

The classic ECDSA scheme uses one inversion operation in the process of signature and verification, and the complex and time-consuming inversion operation restricts the efficiency of digital signature. In view of the limitations of ECDSA, many improvement schemes have been put forward in the industry. However, some improvement schemes only start from the improvement of ECDSA computing efficiency, but they fail to take into account such issues as forgery signature attack. Based on the analysis of the classical ECDSA scheme, taking into account the security and calculation efficiency of the elliptic curve digital signature, an improved new scheme of the elliptic curve digital signature is proposed and the security and efficiency of the new scheme are proved through theoretical analysis and simulation experiments. The results show that the improved scheme can not only improve the efficiency of digital signature calculation, but also prevent the forgery attack of digital signature by introducing two parameters and avoiding the inverse operation in the signature and verification phase.

Key words: elliptic curve digital signature, forgery attack, security, modular inverse operation