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ECCC
2007
88views more  ECCC 2007»
13 years 4 months ago
Combinatorial Construction of Locally Testable Codes
An error correcting code is said to be locally testable if there is a test that checks whether a given string is a codeword, or rather far from the code, by reading only a constan...
Or Meir
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
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
ECCC
2010
91views more  ECCC 2010»
13 years 5 months ago
Limits on the rate of locally testable affine-invariant codes
A linear code is said to be affine-invariant if the coordinates of the code can be viewed as a vector space and the code is invariant under an affine transformation of the coordin...
Eli Ben-Sasson, Madhu Sudan
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