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Title:
Ate pairing for y^{2}=x^{5}-\alpha x in characteristic five
Authors: Ryuichi Harasawa, Yutaka Sueyoshi, Aichi Kudo
Abstract:Recently, the authors proposed a method for computing the Tate pairing using a distortion map for y^{2}=x^{5} -\alpha x (\alpha = \pm2) over finite fields of characteristic five. In this paper, we show the Ate pairing, an invariant of the Tate pairing, can be applied to this curve. This leads to about 50\% computational cost-saving over the Tate pairing.
ePrint: https://eprint.iacr.org/2006/202
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