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» The Complexity of Local List Decoding
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APPROX
2008
Springer
190views Algorithms» more  APPROX 2008»
14 years 1 months ago
The Complexity of Local List Decoding
We study the complexity of locally list-decoding binary error correcting codes with good parameters (that are polynomially related to information theoretic bounds). We show that co...
Dan Gutfreund, Guy N. Rothblum
ECCC
2010
147views more  ECCC 2010»
13 years 6 months ago
A Note on Amplifying the Error-Tolerance of Locally Decodable Codes
Trevisan [Tre03] suggested a transformation that allows amplifying the error rate a code can handle. We observe that this transformation, that was suggested in the non-local setti...
Avraham Ben-Aroya, Klim Efremenko, Amnon Ta-Shma
DAM
2006
113views more  DAM 2006»
13 years 11 months ago
On the complexity of suboptimal decoding for list and decision feedback schemes
We consider bounded distance list decoding, such that the decoder calculates the list of all codewords within a sphere around the received vector. We analyze the performance and t...
Jürgen Freudenberger, Victor V. Zyablov
TIT
2008
127views more  TIT 2008»
13 years 11 months ago
List Decoding of Biorthogonal Codes and the Hadamard Transform With Linear Complexity
Let a biorthogonal Reed
Ilya Dumer, Gregory A. Kabatiansky, Cédric ...
ECCC
2010
153views more  ECCC 2010»
13 years 6 months ago
Local list decoding with a constant number of queries
Efremenko showed locally-decodable codes of sub-exponential length that can handle close to 1 6 fraction of errors. In this paper we show that the same codes can be locally unique...
Avraham Ben-Aroya, Klim Efremenko, Amnon Ta-Shma