Paper 2008/274 Original: eprint.iacr.org/2008/274 ↗

Twisted Ate Pairing on Hyperelliptic Curves and Applications

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.

Metadata
Available format(s)
PDF
Publication info
Preprint.
History
2008-06-18: last updated
2008-06-18: published
Short URL
https://ia.cr/2008/274
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2008/274,
      author = {Fangguo Zhang},
      title = {Twisted Ate Pairing on Hyperelliptic Curves and Applications},
      howpublished = {Cryptology {ePrint} Archive, Paper 2008/274},
      year = {2008},
      url = {https://eprint.iacr.org/2008/274}
}
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