All Pairings Are in a Group
Chang‐An Zhao, Fangguo Zhang, J. HUANG · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · 2008
In this paper, we suggest that all pairings are in a group from an abstract angle. Based on the results, some new pairings with the short Miller loop are constructed for great efficiency. It is possible that our observation can be applied into other aspects of pairing-based cryptosystems.