Welcome to the resource topic for 2006/110
Title:
The Eta Pairing Revisited
Authors: F. Hess, N. P. Smart, F. Vercauteren
Abstract:In this paper we simplify and extend the Eta pairing, originally
discovered in the setting of supersingular curves by Baretto et al.,
to ordinary curves. Furthermore, we show that by swapping the
arguments of the Eta pairing, one obtains a very efficient algorithm
resulting in a speed-up of a factor of around six
over the usual Tate pairing, in the case of curves
which have large security parameters, complex multiplication
by D=-3, and when the trace of Frobenius is chosen to be suitably small.
Other, more minor savings are obtained for more general curves.
ePrint: https://eprint.iacr.org/2006/110
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