Cryptology ePrint Archive: Report 2005/116
On Computable Isomorphisms in Efficient Asymmetric Pairing Based Systems
Nigel Smart and Frederik Vercauteren
Abstract: In this paper we examine the hard problems underlying asymmetric pairings, their precise relationships and how they affect a number of existing protocols. Furthermore, we present a new model for the elliptic curve groups used in asymmetric pairings, which allows both an efficient pairing and an efficiently computable isomorphism.
Category / Keywords: Pairing-based cryptography, Tate pairing, elliptic curve
Publication Info: To appear in Discrete Applied Mathematics
Date: received 20 Apr 2005, last revised 3 Jul 2006
Contact author: frederik vercauteren at esat kuleuven be
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Version: 20060703:125618 (All versions of this report)
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