[Resource Topic] 2008/274: Twisted Ate Pairing on Hyperelliptic Curves and Applications

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Title:
Twisted Ate Pairing on Hyperelliptic Curves and Applications

Authors: Fangguo Zhang

Abstract:

In this paper we show that the twisted Ate pairing on elliptic curves can be generalized to hyperelliptic curves, we also give a series of variations of the hyperelliptic Ate and twisted Ate pairings. Using the hyperelliptic Ate pairing and twisted Ate pairing, we propose a new approach to speed up the Weil pairing computation, and obtain an interested result: For some hyperelliptic curves with high degree twist, using this approach to compute Weil pairing will be faster than Tate pairing, Ate pairing etc. all known pairings.

ePrint: https://eprint.iacr.org/2008/274

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