An ID-based client authentication with key agreement protocol for mobile client-server environment on ECC with provable security

Recently, lots of remote user authentication schemes are implemented on elliptic curve cryptosystem (ECC) to reduce the computation loads for mobile devices. However, most of those remote user authentication schemes on ECC suffer from different attacks and can not provide provable security. Therefore, we propose an ID-based remote mutual authentication with key agreement scheme on ECC in this paper. The proposed scheme not only provides mutual authentication but also supports a session key agreement between the user and the server. The scheme also provides the known session key security, the perfect forward secrecy, the no key-compromise impersonation, the no unknown key-share and the no key control. Compared with the related works, the proposed scheme is more efficient and practical for mobile devices. We also give a security proof under the random oracle.