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» Practical polynomial factoring in polynomial time
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ECCC
2006
77views more  ECCC 2006»
13 years 7 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. ...
IJNSEC
2008
96views more  IJNSEC 2008»
13 years 7 months ago
Weak Composite Diffie-Hellman
In1985, Shmuley proposed a theorem about intractability of Composite Diffie-Hellman. The theorem of Shmuley may be paraphrased as saying that if there exist a probabilistic polyno...
Kooshiar Azimian, Javad Mohajeri, Mahmoud Salmasiz...
TCS
2011
13 years 2 months ago
Dynamic normal forms and dynamic characteristic polynomial
Abstract. We present the first fully dynamic algorithm for computing the characteristic polynomial of a matrix. In the generic symmetric case our algorithm supports rank-one updat...
Gudmund Skovbjerg Frandsen, Piotr Sankowski
ESA
2006
Springer
147views Algorithms» more  ESA 2006»
13 years 11 months ago
Univariate Polynomial Real Root Isolation: Continued Fractions Revisited
We present algorithmic, complexity and implementation results concerning real root isolation of integer univariate polynomials using the continued fraction expansion of real algeb...
Elias P. Tsigaridas, Ioannis Z. Emiris
CORR
2011
Springer
158views Education» more  CORR 2011»
13 years 2 months ago
Polynomial Estimators for High Frequency Moments
We present an algorithm for computing Fp, the pth moment of an n-dimensional frequency vector of a data stream, for p > 2, to within 1 ± factors, ∈ (0, 1] with high constant...
Sumit Ganguly