Cryptology ePrint Archive: Report 2005/150

Secure Delegation of Elliptic-Curve Pairing

Benoit Chevallier-Mames and Jean-Sebastien Coron and Noel McCullagh and David Naccache and Michael Scott

Abstract: In this paper we describe a simple protocol for securely delegating elliptic-curve pairings. 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 being paired (A and B), nor about the pairing’s result e(A,B), 2. and the limited device is able to detect when the powerful device is cheating.

We also describe more efficient variants of our protocol when one of the points or both are already known, and further efficiency gains when constant points are used.

Category / Keywords: cryptographic protocols / Pairings, Smartcards

Date: received 24 May 2005, last revised 26 May 2005

Contact author: noel mccullagh at computing dcu ie

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Version: 20050526:075019 (All versions of this report)

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