An efficient certificateless two-party authenticated key agreement protocol

Since certificateless public key cryptography (CLPKC) has received widespread attention due to its efficiency in avoiding key escrow problems in identity-based public key cryptography (ID-PKC), the certificateless authenticated key agreement (CLAKA) protocol, an important part of CLPKC, has been studied a great deal. Most CLAKA protocols are built from pairings which need costly operations. To improve the performance, several pairing-free CLAKA protocols have been proposed. In this paper, we propose a new pairing-free CLAKA protocol. Compared with the related protocols, our protocol has better performance. Also, our protocol is provably secure in a very strong security model—the extended Canetti–Krawczyk (eCK) model.