格上基于身份的代理签名方案

Identity-based Proxy Signature on Lattices

为抵抗量子计算攻击,降低代理签名中用户私钥泄露的风险,构造了一个格上基于身份的代理签名方案.方案的设计基于安全高效的GPV签名框架,结合用户身份信息生成验证公钥,使用格基委派技术生成用户签名私钥,并使用盆景树代理委托算法提升签名效率.方案的安全性可规约至格上最小整数解问题,满足基于身份代理签名的安全属性,且在随机谕言和量子随机谕言下均具有存在性不可伪造性.

To resist quantum computing attacks and reduce the risk of private key leakage of users in proxy signatures,this study proposes an identity-based proxy signature scheme on lattices.This scheme is designed based on the secure and efficient GPV signature framework.The verification public key is generated by combining the user identity information.The lattice basis delegation technology is used to generate the private key for the user signature,and the bonsai tree delegation algorithm is adopted to improve signing efficiency.The security of the scheme is based on the shortest integer solution(SIS)assumption.It satisfies the security properties of identity-based proxy signatures and has existential unforgeability under random oracles and quantum random oracles.