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» Ate Pairing on Hyperelliptic Curves
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EUROCRYPT
2007
Springer
13 years 11 months ago
Ate Pairing on Hyperelliptic Curves
Abstract. In this paper we show that the Ate pairing, originally defined for elliptic curves, generalises to hyperelliptic curves and in fact to arbitrary algebraic curves. It has...
Robert Granger, Florian Hess, Roger Oyono, Nicolas...
PAIRING
2010
Springer
147views Cryptology» more  PAIRING 2010»
13 years 3 months ago
Generating More Kawazoe-Takahashi Genus 2 Pairing-Friendly Hyperelliptic Curves
Constructing pairing-friendly hyperelliptic curves with small ρ-values is one of challenges for practicability of pairing-friendly hyperelliptic curves. In this paper, we describe...
Ezekiel J. Kachisa
PAIRING
2007
Springer
13 years 11 months ago
Hyperelliptic Pairings
We assemble and reorganize the recent work in the area of hyperelliptic pairings: We survey the research on constructing hyperelliptic curves suitable for pairing-based cryptograph...
Steven D. Galbraith, Florian Hess, Frederik Vercau...
IMA
2007
Springer
94views Cryptology» more  IMA 2007»
13 years 11 months ago
Optimised Versions of the Ate and Twisted Ate Pairings
The Ate pairing and the twisted Ate pairing for ordinary elliptic curves which are generalizations of the ηT pairing for supersingular curves have previously been proposed. It is ...
Seiichi Matsuda, Naoki Kanayama, Florian Hess, Eij...
IJISEC
2008
108views more  IJISEC 2008»
13 years 5 months ago
A note on the Ate pairing
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-friendl...
Changan Zhao, Fangguo Zhang, Jiwu Huang