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» Finding Small Solutions to Small Degree Polynomials
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TCS
2008
13 years 5 months ago
Real algebraic numbers and polynomial systems of small degree
We present exact and complete algorithms based on precomputed Sturm-Habicht sequences, discriminants and invariants, that classify, isolate with rational points and compare the re...
Ioannis Z. Emiris, Elias P. Tsigaridas
COCO
2008
Springer
72views Algorithms» more  COCO 2008»
13 years 7 months ago
The Sum of d Small-Bias Generators Fools Polynomials of Degree d
We prove that the sum of d small-bias generators L : Fs Fn fools degree-d polynomials in n variables over a field F, for any fixed degree d and field F, including F = F2 = {0, 1}...
Emanuele Viola
MOC
1998
98views more  MOC 1998»
13 years 5 months ago
Distribution of irreducible polynomials of small degrees over finite fields
D. Wan very recently proved an asymptotic version of a conjecture of Hansen and Mullen concerning the distribution of irreducible polynomials over finite fields. In this note we ...
Kie H. Ham, Gary L. Mullen
APPROX
2008
Springer
86views Algorithms» more  APPROX 2008»
13 years 7 months ago
Small Sample Spaces Cannot Fool Low Degree Polynomials
Noga Alon, Ido Ben-Eliezer, Michael Krivelevich
EUROCRYPT
2004
Springer
13 years 10 months ago
Finding Small Roots of Bivariate Integer Polynomial Equations Revisited
At Eurocrypt ’96, Coppersmith proposed an algorithm for finding small roots of bivariate integer polynomial equations, based on lattice reduction techniques. But the approach is...
Jean-Sébastien Coron