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ECCC
2007
88views more  ECCC 2007»
14 years 9 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»
14 years 11 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»
15 years 3 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»
14 years 9 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»
14 years 9 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