Authenticated multiple key exchange protocols based on elliptic curves and bilinear pairings

Menezes et al. developed an MQV key exchange protocol that does not use a one-way hash function in 1995. Harn–Lin and Hwang–Shiau–Lai later respectively proposed efficient authenticated key exchange protocols. Lee and Wu recently proposed an enhanced authentication key exchange protocol to solve the drawbacks of the Hwang–Shiau–Lai protocol. Based on the Lee–Wu protocol, this work presents two new authenticated multiple key exchange protocols based on ECC and bilinear pairing. The proposed ECC-based protocol is more efficient than the Harn–Lin, Hwang–Shiau–Lai, and Lee–Wu protocols. Moreover, the proposed pairing-based protocol is better than other protocols in terms of the number of available shared session keys because all agreed session keys can be adopted by the communicating parties in the protocol.