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» Tensor Products of Weakly Smooth Codes Are Robust
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APPROX
2008
Springer
90views Algorithms» more  APPROX 2008»
13 years 7 months 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
2006
Springer
100views Algorithms» more  APPROX 2006»
13 years 8 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
APPROX
2005
Springer
84views Algorithms» more  APPROX 2005»
13 years 10 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
RSA
2006
74views more  RSA 2006»
13 years 4 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
JC
2010
117views more  JC 2010»
12 years 11 months ago
Tractability through increasing smoothness
We prove that some multivariate linear tensor product problems are tractable in the worst case setting if they are defined as tensor products of univariate problems with logarithm...
Anargyros Papageorgiou, Henryk Wozniakowski