Bilinear. For any P, Q ∈ G1 and a, b ∈ Z, we have eˆ(aP, bQ) = eˆ(P, Q)ab.
Bilinear for P, Q א G1 and, a, b א ܼכ , we have scheme originated from Xxx and Xxxxx [16]. Furthermore, they proposed another protocol [17] which is based on the certificateless encryption scheme suggested by Xxxxxx and Quisquater [18]. Xxx and Xx achieve the most known security attributes in both the protocols, [15] [17]. In 2010, Xxxxx et al. [19] proposed certificateless two-party authenticated key agreement protocol which is provably secure and efficient. The protocol involves one pairing operation and five multiplications.
