基于椭圆曲线的有代理的多重签名

Multi-signature with Some of Proxy Signer Based on Elliptic Curve

在研究有代理的多重签名和椭圆曲线数字签名的基础上,提出了一种基于椭圆曲线的有代理的多重签名方案。其安全性基于求椭圆曲线离散对数的困难,比起已有的方案更加安全、高效,并给出了两种基于椭圆曲线的有代理的多重签名方案,即广播的有代理的多重签名方案和有序的有代理的多重签名方案;最后讨论了其正确性和安全性。

After studying existing multl-signature with some of proxy signer, based on elliptic curve, broadcast multi-signature with some of proxy signer and ordinal multi-signature with some of proxy signer are proposed. Their security rely on the problem of discrete logarithm on elliptic curve, comparing with the existing schemes they are more secure and efficient. At the same time, validity and security of the schemes are discussed.