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» Division algorithms for Bernstein polynomials
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CAGD
2008
99views more  CAGD 2008»
13 years 7 months ago
Topology and arrangement computation of semi-algebraic planar curves
We describe a new subdivision method to efficiently compute the topology and the arrangement of implicit planar curves. We emphasize that the output topology and arrangement are g...
Lionel Alberti, Bernard Mourrain, Julien Wintz
AAECC
2007
Springer
109views Algorithms» more  AAECC 2007»
14 years 1 months ago
The Tangent FFT
The split-radix FFT computes a size-n complex DFT, when n is a large power of 2, using just 4n lg n−6n+8 arithmetic operations on real numbers. This operation count was first an...
Daniel J. Bernstein
EUROCRYPT
1999
Springer
13 years 11 months ago
Software Performance of Universal Hash Functions
Abstract. This paper compares the parameters sizes and software performance of several recent constructions for universal hash functions: bucket hashing, polynomial hashing, Toepli...
Wim Nevelsteen, Bart Preneel
CORR
2007
Springer
115views Education» more  CORR 2007»
13 years 7 months ago
Q-adic Transform revisited
We present an algorithm to perform a simultaneous modular reduction of several residues. This enables to compress polynomials into integers and perform several modular operations ...
Jean-Guillaume Dumas
ESA
2001
Springer
61views Algorithms» more  ESA 2001»
13 years 12 months ago
A Separation Bound for Real Algebraic Expressions
Real algebraic expressions are expressions whose leaves are integers and whose internal nodes are additions, subtractions, multiplications, divisions, k-th root operations for int...
Christoph Burnikel, Stefan Funke, Kurt Mehlhorn, S...