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» Robust locally testable codes and products of codes
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ECCC
2010
91views more  ECCC 2010»
13 years 6 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
APPROX
2009
Springer
135views Algorithms» more  APPROX 2009»
14 years 1 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
ECCC
2010
83views more  ECCC 2010»
13 years 4 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 ...
PROPERTYTESTING
2010
13 years 4 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
AINA
2007
IEEE
13 years 10 months ago
Crick's Hypothesis Revisited: The Existence of a Universal Coding Frame
In 1957 Crick hypothesized that the genetic code was a comma free code. This property would imply the existence of a universal coding frame and make the set of coding sequences a ...
Jean-Louis Lassez, Ryan A. Rossi, Axel E. Bernal