Considered the especial requirements of the authentication scheme among the roaming users and the visited networks

an ID-based wireless authentication scheme with anonymity was proposed by the bilinearity and non-degeneration of pairings.The security of authentication and anonymity was analyzed in detail.Especially

the anonymous security was analyzed by formal approach under the unauthenticated-links adversarial model.It is showed that the proposed scheme not only could achieve authentication securely but also has a secure anonymity

and could achieve the secure requirements of the wireless network.Moreover

the scheme is simple and efficient

and could be ap-plied to the authentication in the wireless network.