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ICALP
2005
Springer
14 years 1 months ago
Improved Lower Bounds for Locally Decodable Codes and Private Information Retrieval
We prove new lower bounds for locally decodable codes and private information retrieval. We show that a 2-query LDC encoding nbit strings over an ℓ-bit alphabet, where the decode...
Stephanie Wehner, Ronald de Wolf
PROPERTYTESTING
2010
13 years 5 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
STOC
2002
ACM
117views Algorithms» more  STOC 2002»
14 years 8 months ago
Hardness amplification within NP
We study the average-case hardness of the class NP against deterministic polynomial time algorithms. We prove that there exists some constant ? > 0 such that if there is some l...
Ryan O'Donnell
CORR
2011
Springer
161views Education» more  CORR 2011»
13 years 2 months ago
Generalized Gray Codes for Local Rank Modulation
—We consider the local rank-modulation scheme in which a sliding window going over a sequence of real-valued variables induces a sequence of permutations. Local rankmodulation is...
Eyal En Gad, Michael Langberg, Moshe Schwartz, Jeh...
TCOM
2010
111views more  TCOM 2010»
13 years 6 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. ...