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ECCC
2007
100views more  ECCC 2007»
13 years 4 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»
14 years 5 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»
13 years 4 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»
13 years 11 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
13 years 10 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