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APPROX
2006
Springer
100views Algorithms» more  APPROX 2006»
13 years 11 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 11 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 7 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»
14 years 2 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 11 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...