A comparison between hardware accelerators for the modified Tate pairing over $\mathbb{F}_{2^m}$ and $\mathbb{F}_{3^m}$

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.}, 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.}. 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.
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Communication dans un congrès
Steven D. Galbraith and Kenneth G. Paterson. Second International Conference on Pairing-Based Cryptography – Pairing 2008, Sep 2008, Egham, United Kingdom. Springer, 5209, pp.297-315, 2008, Lecture Notes in Computer Science. 〈10.1007/978-3-540-85538-5_20〉
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Jean-Luc Beuchat, Nicolas Brisebarre, Jérémie Detrey, Eiji Okamoto, Francisco Rodríguez-Henríquez. A comparison between hardware accelerators for the modified Tate pairing over $\mathbb{F}_{2^m}$ and $\mathbb{F}_{3^m}$. Steven D. Galbraith and Kenneth G. Paterson. Second International Conference on Pairing-Based Cryptography – Pairing 2008, Sep 2008, Egham, United Kingdom. Springer, 5209, pp.297-315, 2008, Lecture Notes in Computer Science. 〈10.1007/978-3-540-85538-5_20〉. 〈inria-00423977〉

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