  Shamir or Blakley secret sharing schemes are used for the authentication
process in the studies before, but still secure group authentication and
hand-over process remain as challenges in group authentication approaches. In
this study, a novel method is proposed to provide a secure group
authentication. The proposed approach also enables a hand-over process between
groups by using Lagrange's polynomial interpolation and Weil pairing in
elliptic curve groups for wireless networks with mobility support. One of the
advantages of our proposed scheme is that the computational load for a member
in the group is lower than the other schemes in the state-of-the-art. It is
also possible to authorize many users at the same time, not one-to-one as in
the group authentication methods in current cellular networks including Long
Term Evolution (LTE). Another advantage that is not covered in other secret
sharing methods is that the proposed approach constitutes a practical solution
for the hand-over of members between different groups. We have also proposed a
solution for replay and man-in-the-middle attacks in secret exchange.
