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ECCC
2007
100views more  ECCC 2007»
14 years 10 months ago
Unconditional pseudorandom generators for low degree polynomials
Abstract: We give an explicit construction of a pseudorandom generator against lowdegree polynomials over finite fields. Pseudorandom generators against linear polynomials, known...
Shachar Lovett
STOC
2005
ACM
144views Algorithms» more  STOC 2005»
15 years 10 months ago
Pseudorandom generators for low degree polynomials
We investigate constructions of pseudorandom generators that fool polynomial tests of degree d in m variables over finite fields F. Our main construction gives a generator with se...
Andrej Bogdanov
ECCC
2010
104views more  ECCC 2010»
14 years 10 months ago
Pseudorandom generators for CC0[p] and the Fourier spectrum of low-degree polynomials over finite fields
In this paper we give the first construction of a pseudorandom generator, with seed length O(log n), for CC0[p], the class of constant-depth circuits with unbounded fan-in MODp ga...
Shachar Lovett, Partha Mukhopadhyay, Amir Shpilka
COCO
2007
Springer
94views Algorithms» more  COCO 2007»
15 years 4 months ago
Low-Depth Witnesses are Easy to Find
Antunes, Fortnow, van Melkebeek and Vinodchandran captured the notion of non-random information by computational depth, the difference between the polynomialtime-bounded Kolmogoro...
Luis Antunes 0002, Lance Fortnow, Alexandre Pinto,...
EUROCRYPT
2003
Springer
15 years 3 months ago
Predicting the Shrinking Generator with Fixed Connections
We propose a novel distinguishing attack on the shrinking generator with known feedback polynomial for the generating LFSR. The attack can e.g. reliably distinguish a shrinking gen...
Patrik Ekdahl, Willi Meier, Thomas Johansson