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中文摘要：
为克服身份基公钥密码体制中存在的密钥托管问题,降低密文规模及计算代价,利用多线性映射构造了无证书体制下的签密新方案,在随机预言机模型下利用多线性Diffie-Hellman假设证明了机密性和不可伪造性.与已有方案相比,本文方案在密文长度相当的情况下,解签密计算上减少一次双线性对运算,提高了解签密效率.
英文摘要：
In order to solve the key escrow problem which exist in identity-based cryptography and reduce the length of ciphertext,the scheme exploited multilinear maps to construct a new certificateless signcryption,and it was proved to be confidential and unforgeable under the assumption of multilinear Diffie-Hellman problem.The scheme met the requirement of safety.Compared with existing schemes,it reduced a bilinear pairing operation in unsigncryption when the length of the ciphertext is almost the same,and advanced the efficiency of unsigncryption.
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