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» Complex Representations of Algebraic Curves
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COMPGEOM
2005
ACM
13 years 9 months ago
On the exact computation of the topology of real algebraic curves
We consider the problem of computing a representation of the plane graph induced by one (or more) algebraic curves in the real plane. We make no assumptions about the curves, in p...
Raimund Seidel, Nicola Wolpert
CORR
2007
Springer
113views Education» more  CORR 2007»
13 years 7 months ago
Geometry and the complexity of matrix multiplication
We survey results in algebraic complexity theory, focusing on matrix multiplication. Our goals are (i.) to show how open questions in algebraic complexity theory are naturally pose...
J. M. Landsberg
AAECC
2004
Springer
83views Algorithms» more  AAECC 2004»
13 years 7 months ago
Bounding the Trellis State Complexity of Algebraic Geometric Codes
Abstract. Let C be an algebraic geometric code of dimension k and length n constructed on a curve X over Fq. Let s(C) be the state complexity of C and set w(C) := min{k, n-k}, the ...
Carlos Munuera, Fernando Torres
TACAS
2010
Springer
241views Algorithms» more  TACAS 2010»
14 years 2 months ago
Arrival Curves for Real-Time Calculus: The Causality Problem and Its Solutions
Abstract. The Real-Time Calculus (RTC) [16] is a framework to analyze heterogeneous real-time systems that process event streams of data. The streams are characterized by pairs of ...
Matthieu Moy, Karine Altisen
EUROCRYPT
2012
Springer
11 years 10 months ago
Improving the Complexity of Index Calculus Algorithms in Elliptic Curves over Binary Fields
Abstract. The goal of this paper is to further study the index calculus method that was first introduced by Semaev for solving the ECDLP and later developed by Gaudry and Diem. In...
Jean-Charles Faugère, Ludovic Perret, Chris...