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APPROX
2006
Springer
100views Algorithms» more  APPROX 2006»
13 years 9 months ago
Robust Local Testability of Tensor Products of LDPC Codes
Given two binary linear codes R and C, their tensor product R C consists of all matrices with rows in R and columns in C. We analyze the "robustness" of the following te...
Irit Dinur, Madhu Sudan, Avi Wigderson
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
RSA
2006
74views more  RSA 2006»
13 years 5 months ago
Robust locally testable codes and products of codes
We continue the investigation of locally testable codes, i.e., error-correcting codes for whom membership of a given word in the code can be tested probabilistically by examining ...
Eli Ben-Sasson, Madhu Sudan
COCO
2009
Springer
115views Algorithms» more  COCO 2009»
13 years 12 months ago
Locally Testable Codes Require Redundant Testers
Locally testable codes (LTCs) are error-correcting codes for which membership, in the code, of a given word can be tested by examining it in very few locations. Most known constru...
Eli Ben-Sasson, Venkatesan Guruswami, Tali Kaufman...
ECCV
2010
Springer
13 years 9 months ago
Efficient Highly Over-Complete Sparse Coding using a Mixture Model
Sparse coding of sensory data has recently attracted notable attention in research of learning useful features from the unlabeled data. Empirical studies show that mapping the data...