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» Symmetric LDPC Codes and Local Testing
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ECCC
2010
83views more  ECCC 2010»
13 years 7 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»
14 years 1 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 8 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»
14 years 4 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