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ECCC
2011
204views ECommerce» more  ECCC 2011»
12 years 8 months ago
Dense locally testable codes cannot have constant rate and distance
A q-query locally testable code (LTC) is an error correcting code that can be tested by a randomized algorithm that reads at most q symbols from the given word. An important questi...
Irit Dinur, Tali Kaufman
ECCC
2011
223views ECommerce» more  ECCC 2011»
12 years 11 months ago
A Case of Depth-3 Identity Testing, Sparse Factorization and Duality
Polynomial identity testing (PIT) problem is known to be challenging even for constant depth arithmetic circuits. In this work, we study the complexity of two special but natural ...
Chandan Saha, Ramprasad Saptharishi, Nitin Saxena
ECCC
2011
282views ECommerce» more  ECCC 2011»
12 years 11 months ago
Almost k-wise vs. k-wise independent permutations, and uniformity for general group actions
A family of permutations in Sn is k-wise independent if a uniform permutation chosen from the family maps any distinct k elements to any distinct k elements equally likely. Effici...
Noga Alon, Shachar Lovett
ECCC
2011
207views ECommerce» more  ECCC 2011»
12 years 11 months ago
Balls and Bins: Smaller Hash Families and Faster Evaluation
A fundamental fact in the analysis of randomized algorithm is that when n balls are hashed into n bins independently and uniformly at random, with high probability each bin contai...
L. Elisa Celis, Omer Reingold, Gil Segev, Udi Wied...