中文摘要：

针对已有的基于身份的多接收者签密方案存在的密钥托管问题,研究了无证书多接收者签密安全模型,进而基于椭圆曲线密码体制,提出一个无证书多接收者签密方案,并在随机预言机模型下证明方案的安全性建立在计算Diffie-Hellman问题及椭圆曲线离散对数问题的困难性之上。该方案无需证书管理中心,在签密阶段和解签密阶段均不含双线性对运算,且可确保发送者和接收者的身份信息不被泄露,可以方便地应用于网络广播签密服务。

英文摘要：

To solve the private key escrow problem of identity-based multi-receiver signcryption schemes, the security model for multi-receiver signcryption scheme was constructed, and then a certificateless multi-receiver signcryption scheme based on ECC was proposed. Furthermore, the security of the scheme in the random oracle was based on the computational Diffie-Hellman assumption and elliptic curve discrete logarithm assumption was proved. Meanwhile, the scheme was free from certificate management center and needed no bilinear paring operation in both signcryption and decryption phases. It can also protect both the sender and receivers＇ identity from leaking out. So the scheme can be applied conveniently to broadcast signcryption in network environment.