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Title:
Pairings on Generalized Huff Curves
Authors: Abdoul Aziz Ciss, Djiby Sow
Abstract:This paper presents the Tate pairing computation on generalized Huff curves proposed by Wu and Feng in \cite{Wu}. In fact, we extend the results of the Tate pairing computation on the standard Huff elliptic curves done previously by Joye, Tibouchi and Vergnaud in \cite{Joux}. We show that the addition step of the Miller loop can be performed in 1\mathbf{M}+(k+15)\mathbf{m}+2\mathbf{c} and the doubling one in 1\mathbf{M} + 1\mathbf{S} + (k + 12) \mathbf{m} + 5\mathbf{s} + 2\mathbf{c} on the generalized Huff curve.
ePrint: https://eprint.iacr.org/2012/632
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