[Resource Topic] 2008/115: A Comparison Between Hardware Accelerators for the Modified Tate Pairing over $\mathbb{F}_{2^m}$ and $\mathbb{F}_{3^m}$

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Title:
A Comparison Between Hardware Accelerators for the Modified Tate Pairing over \mathbb{F}_{2^m} and \mathbb{F}_{3^m}

Authors: Jean-Luc Beuchat, Nicolas Brisebarre, Jérémie Detrey, Eiji Okamoto, Francisco Rodríguez-Henríquez

Abstract:

In this article we propose a study of the modified Tate pairing in characteristics two and three. Starting from the \eta_T pairing introduced by Barreto {\em et al.} (Des Codes Crypt, 2007), we detail various algorithmic improvements in the case of characteristic two. As far as characteristic three is concerned, we refer to the survey by Beuchat {\em et al.} (ePrint 2007-417). We then show how to get back to the modified Tate pairing at almost no extra cost. Finally, we explore the trade-offs involved in the hardware implementation of this pairing for both characteristics two and three. From our experiments, characteristic three appears to have a slight advantage over characteristic two.

ePrint: https://eprint.iacr.org/2008/115

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