基于椭圆曲线密码体制的代理多重签名方案研究

椭圆曲线密码体制以其特有的优越性被用于进行数据加密和构建数字签名方案，同样也可以用来构建代理多重签名方案.为了提高数字签名系统的安全性，在研究第二类代理多重签名方案的基础上进行研究和设计，设计了一种新的基于椭圆曲线密码体制的代理多重签名方案，并在理论上验证了其正确性.方案的安全性是建立在目前还没有有效攻击方法的有限域非超奇异椭圆曲线离散对数问题之上的，比基于有限域的代理多重签名方案有更高的安全性.

Digital proxy multisignature based on elliptic curve cryptosystem

Due to the advantages of the elliptic curve cryptosystem,it is used to encrypt information and to construct digital signature scheme.In adolition,it can also be used to construct proxy multi-signature scheme.In order to increase the security of digital signature system,a new digital proxy multi-signature scheme based on the elliptic curve cryptosystem has been designed based on the second proxy multi-signature scheme,and the correctness in theory has been proved.The security of this scheme is built on the elliptic curve discrete logarithm of nonsupersingular elliptic curve over a finite field which has no efficient attack method.And this scheme is much safer than the scheme based on finite field.