基于圆锥曲线的数字签名和Schnorr盲签名

Digital Signature and Schnorr Blind Signature Based on Conic Curves

圆锥曲线公钥密码系统中参数的选取会影响其安全性,为了构造有限域Fp上的安全的圆锥曲线公钥密码系统,需要合理地选取参数。文中对有限域Fp上的圆锥曲线公钥密码算法进行了分析,指出其安全性基于计算圆锥曲线上离散对数困难性,而构造圆锥曲线公钥密码的参数影响到它的安全性,对其参数的选取给出建议。提出一种基于圆锥曲线的数字签名方案,并对Schnorr盲签名方案在圆锥曲线上进行模拟,对提出的方案进行了安全和效率方面的分析,证明提出的方案是安全和高效的。

The parameters selection in public- key cryptosystem based on conic curve can affect its security. In order to construct a secure public - key cryptosystem based on conic curve in finite filed Fp ,the reasonable parameters must be chosed. In this paper, a public - key cryptosystem based on conic curve in finite filet Fp was analyzed, pointing out the security based on the difficulty of discrete logarithm on conic curve and the parameters selection affect its security, the parameters selection else was suggested. Purpose a digital signature scheme based on conic curve and Schnorr blind signature scheme＇s conic analog was given in this paper. Finally,else analyzed the security and efficiency of the scheme,proving that the scheme is secure and efficient.