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ECCC
2006
77views more  ECCC 2006»
13 years 5 months ago
Extractors and condensers from univariate polynomials
We give new constructions of randomness extractors and lossless condensers that are optimal to within constant factors in both the seed length and the output length. For extractor...
Venkatesan Guruswami, Christopher Umans, Salil P. ...
AAECC
2008
Springer
83views Algorithms» more  AAECC 2008»
13 years 5 months ago
Fast separable factorization and applications
Abstract. In this paper we show that the separable decomposition of a univariate polynomial can be computed in softly optimal time, in terms of the number of arithmetic operations ...
Grégoire Lecerf
ICCS
2007
Springer
13 years 11 months ago
On the Virtues of Generic Programming for Symbolic Computation
The purpose of this study is to measure the impact of C level code polynomial arithmetic on the performances of AXIOM highlevel algorithms, such as polynomial factorization. More p...
Xin Li, Marc Moreno Maza, Éric Schost