ID-based remote authentication with smart cards on open distributed system from elliptic curve cryptography

Elliptic curve cryptography sustains equal security for afar small key size. Recently the pairings operations on elliptic curve have received considerable attention. In this paper, we apply the cryptographic primitive of pairings on elliptic curve to a remote password authentication scheme with smart cards. The proposed pairing-based remote authentication scheme requires no password table to verify the legitimacy of the login user and allows the users to choose and change their password. The distributed remote hosts do not need the knowledge of the secret of the key information center to authenticate the legitimacy of the users. It enhances the flexibility of the remote authentication scheme.