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

Jean-Luc Beuchat, Nicolas Brisebarre, Jérémie Detrey, Eiji Okamoto, and 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.

Available format(s)
Category
Implementation
Publication info
Published elsewhere. Unknown where it was published
Keywords
Tate pairing$\eta_T$ pairinghardware acceleratorFPGAfinite field arithmetic
Contact author(s)
beuchat @ risk tsukuba ac jp
History
2008-03-17: revised
See all versions
Short URL
https://ia.cr/2008/115

CC BY

BibTeX

@misc{cryptoeprint:2008/115,
author = {Jean-Luc Beuchat and Nicolas Brisebarre and Jérémie Detrey and Eiji Okamoto and Francisco Rodríguez-Henríquez},
title = {A Comparison Between Hardware Accelerators for the Modified Tate Pairing over $\mathbb{F}_{2^m}$ and $\mathbb{F}_{3^m}$},
howpublished = {Cryptology ePrint Archive, Paper 2008/115},
year = {2008},
note = {\url{https://eprint.iacr.org/2008/115}},
url = {https://eprint.iacr.org/2008/115}
}
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