A Comparison between Hardware Accelerators for the Modified Tate Pairing over F2m and F3m

被引:0
|
作者
Beuchat, Jean-Lue [1 ]
Brisebarre, Nicolas [2 ]
Detrey, Jeremie [3 ]
Okamoto, Eiji [1 ]
Rodriguez-Henriquez, Francisco [4 ]
机构
[1] Univ Tsukuba, Grad Sch Syst & Informat Engn, 1-1-1 Tennodai, Tsukuba, Ibaraki 3058573, Japan
[2] Ecole Normale Super Lyon, LIP Arenaire, CNRS INRIA UCBL, ENS, F-69364 Lyon, France
[3] Cosec Grp, D-53113 Bonn, Germany
[4] CINVESTAV, IPN, Dept Elect Engn, Comp Sci Sect, MX-07300 Mexico City, DF, Mexico
来源
关键词
Modified Tate pairing; reduced eta(T) pairing; finite field arithmetic; elliptic curve; hardware accelerator; FPGA;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
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 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. [5]. 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. Front our experiments, characteristic three appears to have a slight advantage over characteristic two.
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页码:297 / +
页数:4
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