Mathematical Foundation and Implantation Methods for Pairing-Based Cryptography

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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.