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COMPGEOM
2005
ACM
13 years 9 months ago
Animation of curve constrained drawings of planar graphs
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Kim Hansen, Stephen K. Wismath
EUROCRYPT
2000
Springer
13 years 11 months ago
An Algorithm for Solving the Discrete Log Problem on Hyperelliptic Curves
We present an index-calculus algorithm for the computation of discrete logarithms in the Jacobian of hyperelliptic curves defined over finite fields. The complexity predicts that i...
Pierrick Gaudry
CORR
2004
Springer
104views Education» more  CORR 2004»
13 years 7 months ago
Ramanujan Graphs and the Random Reducibility of Discrete Log on Isogenous Elliptic Curves
Cryptographic applications using an elliptic curve over a finite field filter curves for suitability using their order as the primary criterion: e.g. checking that their order has...
David Jao, Stephen D. Miller, Ramarathnam Venkates...
COMPGEOM
2004
ACM
13 years 11 months ago
Complete, exact, and efficient computations with cubic curves
The Bentley-Ottmann sweep-line method can be used to compute the arrangement of planar curves provided a number of geometric primitives operating on the curves are available. We d...
Arno Eigenwillig, Lutz Kettner, Elmar Schömer...
FOCM
2002
108views more  FOCM 2002»
13 years 7 months ago
Geometric Integration Algorithms on Homogeneous Manifolds
Given an ordinary differential equation on a homogeneous manifold, one can construct a "geometric integrator" by determining a compatible ordinary differential equation ...
Debra Lewis, Peter J. Olver