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RSA
2006
74views more  RSA 2006»
13 years 5 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
ECCC
2010
83views more  ECCC 2010»
13 years 3 months ago
Symmetric LDPC codes are not necessarily locally testable
Locally testable codes, i.e., codes where membership in the code is testable with a constant number of queries, have played a central role in complexity theory. It is well known t...
Eli Ben-Sasson, Ghid Maatouk, Amir Shpilka, Madhu ...
PROPERTYTESTING
2010
13 years 3 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
PROPERTYTESTING
2010
13 years 3 months ago
Short Locally Testable Codes and Proofs: A Survey in Two Parts
We survey known results regarding locally testable codes and locally testable proofs (known as PCPs), with emphasis on the length of these constructs. Local testability refers to a...
Oded Goldreich
APPROX
2006
Springer
100views Algorithms» more  APPROX 2006»
13 years 9 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