Sciweavers

8 search results - page 1 / 2
» Hyperelliptic Pairings
Sort
View
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...
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
DCC
2007
IEEE
14 years 4 months ago
Efficient pairing computation on supersingular Abelian varieties
Abstract. We present a general technique for the efficient computation of pairings on supersingular Abelian varieties. This formulation, which we call the eta pairing, generalises ...
Paulo S. L. M. Barreto, Steven D. Galbraith, Colm ...
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...
ANTS
2004
Springer
112views Algorithms» more  ANTS 2004»
13 years 10 months ago
Improved Weil and Tate Pairings for Elliptic and Hyperelliptic Curves
We present algorithms for computing the squared Weil and Tate pairings on an elliptic curve and the squared Tate pairing for hyperelliptic curves. The squared pairings introduced i...
Kirsten Eisenträger, Kristin Lauter, Peter L....