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DCC
2007
IEEE
14 years 7 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 ...
MOC
2011
13 years 1 months ago
Class numbers of ray class fields of imaginary quadratic fields
Let K be an imaginary quadratic field with class number one and let p ⊂ OK be a degree one prime ideal of norm p not dividing 6dK . In this paper we generalize an algorithm of S...
Omer Kucuksakalli
IEEECGIV
2009
IEEE
14 years 2 months ago
Monomial Forms for Curves in CAGD with their Applications
—There are several methods used for plotting curves in CAGD, e.g., by directly computing their basis functions (polynomials) or using their recursive algorithms. For the former m...
Chanon Aphirukmatakun, Natasha Dejdumrong
EUROCRYPT
2011
Springer
12 years 10 months ago
Faster Explicit Formulas for Computing Pairings over Ordinary Curves
Abstract. We describe efficient formulas for computing pairings on ordinary elliptic curves over prime fields. First, we generalize lazy reduction techniques, previously considere...
Diego F. Aranha, Koray Karabina, Patrick Longa, Ca...
ICPR
2000
IEEE
14 years 8 months ago
Exact Computation of Area Moments for Spline and Wavelet Curves
We present an exact algorithm for the computation of the moments of a region bounded by a curve represented in a scaling function or wavelet basis. Using Green's theorem, we ...
Mathews Jacob, Thierry Blu, Michael Unser