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...
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...
Abstract. This paper compares the parameters sizes and software performance of several recent constructions for universal hash functions: bucket hashing, polynomial hashing, Toepli...
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 ...
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...