Welcome to the resource topic for 2007/247
Title:
A Note on the Ate Pairing
Authors: Chang-An Zhao, Fangguo Zhang, Jiwu Huang
Abstract:The Ate pairing has been suggested since it can be computed efficiently on ordinary elliptic curves with small values of the traces of Frobenius t. However, not all pairing-friendly elliptic curves have this property. In this paper, we generalize the Ate pairing and find a series of variations of the Ate pairing. We show that the shortest Miller loop of the variations of the Ate pairing can possibly be as small as r^{1/\varphi(k)} on more pairing-friendly curves generated by the method of complex multiplications, and hence speed up the pairing computation significantly.
ePrint: https://eprint.iacr.org/2007/247
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