On the Relations Between Diffie-Hellman and ID-Based Key Agreement From Pairings

This paper studies the relationships between the traditional Diffie-Hellman key agreement protocol and the IDentity-based (ID-based) key agreement protocol from pairings. For the Sakai-Ohgishi-Kasahara (SOK) ID-based key construction, the authors show that identical to the Diffie-Hellman protocol, the SOK key agreement protocol also has three variants, namely ephemeral, semi-static and static versions. Upon this, they build solid relations between authenticated Diffie-Hellman (Auth-DH) protocols and ID-Based Authenticated Key agreement (IB-AK) protocols, whereby they present two substitution rules for these two types of protocols. The rules enable a conversion between the two types of protocols. In particular, they obtain the real ID-based version of the well-known MQV (and HMQV) protocol.