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» Tolerant Linearity Testing and Locally Testable Codes
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APPROX
2006
Springer
100views Algorithms» more  APPROX 2006»
14 years 2 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
COCO
2009
Springer
115views Algorithms» more  COCO 2009»
14 years 5 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...
APPROX
2008
Springer
90views Algorithms» more  APPROX 2008»
14 years 26 days ago
Tensor Products of Weakly Smooth Codes Are Robust
: We continue the study of robustly testable tensor codes and expand the class of base codes that can be used as a starting point for the construction of locally testable codes via...
Eli Ben-Sasson, Michael Viderman
APPROX
2005
Springer
84views Algorithms» more  APPROX 2005»
14 years 4 months ago
The Tensor Product of Two Codes Is Not Necessarily Robustly Testable
There has been significant interest lately in the task of constructing codes that are testable with a small number of random probes. Ben-Sasson and Sudan show that the repeated te...
Paul Valiant
ECCC
2011
204views ECommerce» more  ECCC 2011»
13 years 2 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