Identity-based security provable two parties authentication and key agreement

Based on the extended Canetti-Krawczyk(eCK) model and the bilinear pairing and BDH assumption,the paper proposed an identity-based security provable authentication and key agreement scheme.This scheme could be applied in the situation that two session parties belong to different private key generators respectively.Moreover,proved the scheme to be secure in the random oracle model from two sides: if matching session of the test session exists or not.The demonstration finally shows the proposed scheme is secure if the BDH assumption is intractable.