Mathematical Foundation and Implantation Methods for Pairing-Based Cryptography

基于配对的密码学（PBC）为我们提供了传统公钥密码学无法构建的新型密码学协议。在本研究中，我们在移动电话和GPGPU等现实计算环境中实现了ηT配对和R-ate配对，最终我们证明了PBC在这些设备上已经变得与RSA或椭圆曲线加密一样高效。在此基础上，研究了基于身份的加密技术的进一步发展，提出了一种基于身份的签名加密方法，该方法在标准模型下是安全的。

Pairing-based cryptography (PBC) provides us new cryptographicprotocols which cannot be constructed by the conventional public-key cryptosystems. In this research, we implemented ηT pairing and R-ate pairing on real-life computing environments such as mobilephones and GPGPU, and eventually we showed that PBC has become as efficient as RSA or elliptic curve cryptography on those devices. Moreover, we investigated the further development of ID-based encryption, and then we proposed an ID-based signcryption which is provably secure in the standard model.