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混合签密是一种可以签密任意长度消息的重要技术。本文将无证书混合签密技术应用于椭圆曲线密码系统,构造了一个低计算复杂度的无证书混合签密方案。随机预言模型下,该方案在ECCDH(elliptic-curve computation diffie-Hellman)被证明具有IND-CCA2(indistinguishability against adaptive chosen-ciphertext attacks)安全性,而且在ECDL(elliptic-curve discrete logarithm)假设下具有sU F-CMA(strong existential unforgeability against adaptive chosen-message attacks)安全性。分析表明该密码算法没有双线性对操作,比其他算法更高效。此外,它适合于资源受限的环境,比如无线传感器网络和ad hoc网络。
Hybrid signcryption is an important technique for signing messages of any length. This paper applies certificateless hybrid signcryption technology to elliptic curve cryptosystem and constructs a certificateless hybrid signcryption scheme with low computational complexity. In random predictive model, the proposed scheme is proved to have IND-CCA2 (indistinguishability for adaptive chosen-ciphertext attacks) security in ECCDH (elliptic-curve computation diffie-Hellman) and has sU F-CMA (strong existential unforgeability against adaptive chosen-message attacks) security. Analysis shows that this algorithm does not have bilinear pairings and is more efficient than other algorithms. In addition, it is suitable for resource-constrained environments such as wireless sensor networks and ad hoc networks.