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ECCC
2006
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13 years 11 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. ...
ECCC
2010
104views more  ECCC 2010»
13 years 11 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