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ECCC
2010
91views more  ECCC 2010»
13 years 5 months ago
Limits on the rate of locally testable affine-invariant codes
A linear code is said to be affine-invariant if the coordinates of the code can be viewed as a vector space and the code is invariant under an affine transformation of the coordin...
Eli Ben-Sasson, Madhu Sudan
ECCC
2011
204views ECommerce» more  ECCC 2011»
12 years 8 months ago
Dense locally testable codes cannot have constant rate and distance
A q-query locally testable code (LTC) is an error correcting code that can be tested by a randomized algorithm that reads at most q symbols from the given word. An important questi...
Irit Dinur, Tali Kaufman
RSA
2006
74views more  RSA 2006»
13 years 4 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
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...
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