Paper 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 PS
Publication info
Published elsewhere. Unknown where it was published
Keywords
Ate pairingWeil pairingHyperelliptic curves
Contact author(s)
isszhfg @ mail sysu edu cn
History
2008-06-18: revised
2008-06-18: received
See all versions
Short URL
https://ia.cr/2008/274
License
Creative Commons Attribution
CC BY

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},
      note = {\url{https://eprint.iacr.org/2008/274}},
      url = {https://eprint.iacr.org/2008/274}
}
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