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» Elliptic Gauss sums and applications to point counting
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JSC
2010
45views more  JSC 2010»
13 years 3 months ago
Elliptic Gauss sums and applications to point counting
Preda Mihailescu, Victor Vuletescu
SIAMSC
2010
159views more  SIAMSC 2010»
13 years 2 days ago
The Fast Generalized Gauss Transform
The fast Gauss transform allows for the calculation of the sum of N Gaussians at M points in O(N + M) time. Here, we extend the algorithm to a wider class of kernels, motivated by ...
Marina Spivak, Shravan K. Veerapaneni, Leslie Gree...
PKC
2001
Springer
111views Cryptology» more  PKC 2001»
13 years 9 months ago
Cryptanalysis of PKP: A New Approach
Quite recently, in [4], a new time-memory tradeoff algorithm was presented. The original goal of this algorithm was to count the number of points on an elliptic curve, however, th...
Éliane Jaulmes, Antoine Joux
AMC
2007
125views more  AMC 2007»
13 years 5 months ago
Geometric multigrid for high-order regularizations of early vision problems
The surface estimation problem is used as a model to demonstrate a framework for solving early vision problems by high-order regularization with natural boundary conditions. Becaus...
Stephen L. Keeling, Gundolf Haase
EUROCRYPT
2001
Springer
13 years 9 months ago
Finding Secure Curves with the Satoh-FGH Algorithm and an Early-Abort Strategy
The use of elliptic curves in cryptography relies on the ability to count the number of points on a given curve. Before 1999, the SEA algorithm was the only efficient method known ...
Mireille Fouquet, Pierrick Gaudry, Robert Harley