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» Limits to List Decoding Random Codes
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CORR
2007
Springer
90views Education» more  CORR 2007»
13 years 7 months ago
Rateless coding with partial state information at the decoder
The problem of coding for channels with time-varying state is studied. Two different models are considered: one in which the channel state cannot depend on the transmitted signal,...
Anand D. Sarwate, Michael Gastpar
CORR
2007
Springer
146views Education» more  CORR 2007»
13 years 7 months ago
Coding for Errors and Erasures in Random Network Coding
Abstract—The problem of error-control in random linear network coding is considered. A “noncoherent” or “channel oblivious” model is assumed where neither transmitter nor...
Ralf Koetter, Frank R. Kschischang
STOC
2004
ACM
134views Algorithms» more  STOC 2004»
14 years 7 months ago
Better extractors for better codes?
We present an explicit construction of codes that can be list decoded from a fraction (1 - ) of errors in sub-exponential time and which have rate / logO(1) (1/). This comes close...
Venkatesan Guruswami
STOC
2001
ACM
163views Algorithms» more  STOC 2001»
14 years 7 months ago
Extractor codes
We study error-correcting codes for highly noisy channels. For example, every received signal in the channel may originate from some half of the symbols in the alphabet. Our main c...
Amnon Ta-Shma, David Zuckerman
ECCC
2010
73views more  ECCC 2010»
13 years 7 months ago
Matching Vector Codes
An (r, , )-locally decodable code encodes a k-bit message x to an N-bit codeword C(x), such that for every i [k], the i-th message bit can be recovered with probability 1 - , by ...
Zeev Dvir, Parikshit Gopalan, Sergey Yekhanin