New secure identity-based and certificateless authenticated Key Agreement protocols without pairings

Recently, various pairing-based and pairing-free two party Key Agreement protocols in the context of Identity-Based and Certificateless cryptosystems have been published. The pairing-free Key Agreement protocols could improve the efficiency by eliminating the high expense of pairing maps. In this paper, we proposed several secure and efficient Identity-Based and Certificateless pairing-free two party Key Agreement protocols. In compare with related works, our protocols require less computational cost.