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PROPERTYTESTING
2010
13 years 2 months ago
Some Recent Results on Local Testing of Sparse Linear Codes
We study the local testability of linear codes. We first reformulate this question in the language of tolerant linearity testing under a non-uniform distribution. We then study th...
Swastik Kopparty, Shubhangi Saraf
APPROX
2009
Springer
135views Algorithms» more  APPROX 2009»
13 years 11 months ago
Tolerant Linearity Testing and Locally Testable Codes
Abstract. We study tolerant linearity testing under general distributions. Given groups G and H, a distribution µ on G, and oracle access to a function f : G → H, we consider th...
Swastik Kopparty, Shubhangi Saraf
APPROX
2005
Springer
96views Algorithms» more  APPROX 2005»
13 years 10 months ago
Tolerant Locally Testable Codes
An error-correcting code is said to be locally testable if it has an efficient spot-checking procedure that can distinguish codewords from strings that are far from every codeword...
Venkatesan Guruswami, Atri Rudra
APPROX
2008
Springer
90views Algorithms» more  APPROX 2008»
13 years 6 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