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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
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