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» Combinatorial Construction of Locally Testable Codes
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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
COCO
2009
Springer
115views Algorithms» more  COCO 2009»
13 years 12 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...
APPROX
2005
Springer
96views Algorithms» more  APPROX 2005»
13 years 11 months ago
Tolerant Locally Testable Codes
An error-correcting code is said to be locally testable if it has an efficient spot-checking procedure that can distinguish codewords from strings that are far from every codeword...
Venkatesan Guruswami, Atri Rudra
CORR
2010
Springer
164views Education» more  CORR 2010»
13 years 3 months ago
Is submodularity testable?
: We initiate the study of property testing of submodularity on the boolean hypercube. Submodular functions come up in a variety of applications in combinatorial optimization. For ...
C. Seshadhri, Jan Vondrák
STOC
2004
ACM
157views Algorithms» more  STOC 2004»
14 years 5 months ago
Derandomizing homomorphism testing in general groups
The main result of this paper is a near-optimal derandomization of the affine homomorphism test of Blum, Luby and Rubinfeld (Journal of Computer and System Sciences, 1993). We sho...
Amir Shpilka, Avi Wigderson