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ECCC
2010
91views more  ECCC 2010»
14 years 10 months ago
Limits on the rate of locally testable affine-invariant codes
A linear code is said to be affine-invariant if the coordinates of the code can be viewed as a vector space and the code is invariant under an affine transformation of the coordin...
Eli Ben-Sasson, Madhu Sudan
ECCC
2010
95views more  ECCC 2010»
14 years 10 months ago
Bounded-depth circuits cannot sample good codes
We study a variant of the classical circuit-lower-bound problems: proving lower bounds for sampling distributions given random bits. We prove a lower bound of 1 - 1/n(1) on the st...
Shachar Lovett, Emanuele Viola
ECCC
2010
77views more  ECCC 2010»
14 years 10 months ago
In a World of P=BPP
We show that proving results such as BPP = P essentially necessitate the construction of suitable pseudorandom generators (i.e., generators that suffice for such derandomization r...
Oded Goldreich
ECCC
2010
103views more  ECCC 2010»
14 years 10 months ago
Pseudorandom Generators for Regular Branching Programs
We give new pseudorandom generators for regular read-once branching programs of small width. A branching program is regular if the in-degree of every vertex in it is either 0 or 2...
Mark Braverman, Anup Rao, Ran Raz, Amir Yehudayoff
ECCC
2010
89views more  ECCC 2010»
14 years 10 months ago
Lower bounds for designs in symmetric spaces
A design is a finite set of points in a space on which every "simple" functions averages to its global mean. Illustrative examples of simple functions are low-degree pol...
Noa Eidelstein, Alex Samorodnitsky