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利用椭圆曲线上的双线性对,提出一个基于身份的签密方案。在新方案中,接收者收到一个签密消息,在验证该消息签名的合法性后,再对消息进行恢复。在安全性方面,新方案具有机密性、不可伪造性、公开可验证性、鲁棒性;在计算量和通信成本方面,新方案中只需要进行1次模指数运算、2次双线性对运算和1次双线性对预运算,签密产生的密文长度为2|G1|+|m|,总成本比已有的基于身份的签密方案耗费少,从而有效实现了对消息的认证和保密。
Using the bilinear pairing on the elliptic curve, an identity-based signature scheme is proposed. In the new scheme, the receiver receives a signed message, and then verifies the validity of the signature of the message and then restores the message. In terms of security, the new scheme has confidentiality, unforgeability, open verifiability and robustness. In terms of computational complexity and communication cost, the new scheme needs only one modulus exponentiation, two bilinear pairs Operation and a bilinear pair pre-operation, the ciphertext generated by signing and signing is 2 | G1 | + | m |, the total cost is less than that of the existing identity-based signcryption scheme, Certification and confidentiality.