基于哈希证明系统的区块链两方椭圆曲线数字签名算法研究

椭圆曲线数字签名算法(ECDSA)是区块链密码学技术中常见的数字签名之一,其在加密货币、密钥身份认证等方面已被广泛应用。然而当前的区块链ECDSA算法灵活性较低、匿名性较弱且分散性不高,性能相对高效的应用实例也十分有限。基于哈希证明系统,文章提出一种适用于区块链的两方椭圆曲线数字签名算法。通过给定签名算法的数理逻辑及其安全模型,融入区块链进行测评,证明了方案的可行性。最后,对签名方案的安全性进行了分析,证实该方案无需交互性安全假设便可在零知识性的基础上减少通信开销。

Two-Party ECDSA for Blockchain Based on Hash Proof Systems

Elliptic curve signature ECDSA is one of the common digital signatures in blockchain cryptography technology,which has been widely used in cryptocurrency,key identity authentication,etc.However,current blockchain ECDSA algorithm is inflexible,weakly anonymous and poorly decentralized,and have limited examples of relatively highperforming applications.This study intended to propose a two-party elliptic curve signature suitable for blockchain with the help of Hash proof systems.Given the mathematical logic of the signature algorithm and its security model,its incorporation into the blockchain was evaluated to show the feasibility of the scheme.Finally,the security of the signature scheme was analyzed,and a simulation-based security proof was used to demonstrated that the scheme did not require interactive security assumptions and can reduce the overhead in communication with zero knowledge proof.