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» Symmetric LDPC Codes and Local Testing
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ECCC
2010
83views more  ECCC 2010»
13 years 1 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 ...
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
TCOM
2010
111views more  TCOM 2010»
13 years 2 months ago
Design of irregular LDPC codes with optimized performance-complexity tradeoff
—The optimal performance-complexity tradeoff for error-correcting codes at rates strictly below the Shannon limit is a central question in coding theory. This paper proposes a nu...
Benjamin Smith, Masoud Ardakani, Wei Yu, Frank R. ...
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