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» Symmetric LDPC codes are not necessarily locally testable
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ECCC
2010
83views more  ECCC 2010»
13 years 2 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
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
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
COCO
2009
Springer
115views Algorithms» more  COCO 2009»
13 years 11 months ago
Locally Testable Codes Require Redundant Testers
Locally testable codes (LTCs) are error-correcting codes for which membership, in the code, of a given word can be tested by examining it in very few locations. Most known constru...
Eli Ben-Sasson, Venkatesan Guruswami, Tali Kaufman...