Secure delegation of elliptic-curve pairing

Authors:
Benoît Chevallier-Mames;Jean-Sébastien Coron;Noel McCullagh;David Naccache;Michael Scott
Affiliations:
No Affiliations;Université du Luxembourg, Luxembourg, Luxembourg;School of Computing, Dublin City University, Dublin 9, Ireland;Département d'informatique, Groupe de cryptographie, École normale supérieure, Paris Cedex 05, France;School of Computing, Dublin City University, Dublin 9, Ireland
Venue:
CARDIS'10 Proceedings of the 9th IFIP WG 8.8/11.2 international conference on Smart Card Research and Advanced Application
Year:
2010

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Abstract

In this paper we describe a simple protocol for secure delegation of the elliptic-curve pairing. A computationally limited device (typically a smart-card) will delegate the computation of the pairing e(A,B) to a more powerful device (for example a PC), in such a way that 1) the powerful device learns nothing about the points A and B, and 2) the limited device is able to detect when the powerful device is cheating.