A Comparison Between Hardware Accelerators for the Modified Tate Pairing over F 2 m and F 3 m .
Jean-Luc Beuchat, Nicolas Brisebarre, Jérémie Detrey, Eiji Okamoto, Francisco Rodríguez‐Henríquez · IACR Cryptology ePrint Archive · 2008
In this article we propose a study of the modified Tate pairing in characteristics two and three. Starting from the ηT pairing introduced by Barreto et al. [1], 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 et al. [4]. 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.