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» A Lower Bound on List Size for List Decoding
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STOC
2009
ACM
161views Algorithms» more  STOC 2009»
14 years 6 months ago
List decoding tensor products and interleaved codes
We design the first efficient algorithms and prove new combinatorial bounds for list decoding tensor products of codes and interleaved codes. ? We show that for every code, the rat...
Parikshit Gopalan, Venkatesan Guruswami, Prasad Ra...
STOC
2000
ACM
123views Algorithms» more  STOC 2000»
13 years 9 months ago
List decoding algorithms for certain concatenated codes
We give efficient (polynomial-time) list-decoding algorithms for certain families of errorcorrecting codes obtained by "concatenation". Specifically, we give list-decodi...
Venkatesan Guruswami, Madhu Sudan
DCC
2008
IEEE
14 years 4 months ago
An improved list decoding algorithm for the second order Reed-Muller codes and its applications
We propose an algorithm which is an improved version of the Kabatiansky-Tavernier list decoding algorithm for the second order binary Reed-Muller code RM(2, m), of length n = 2m , ...
Rafaël Fourquet, Cédric Tavernier
TIT
2008
110views more  TIT 2008»
13 years 5 months ago
Explicit Codes Achieving List Decoding Capacity: Error-Correction With Optimal Redundancy
We present error-correcting codes that achieve the information-theoretically best possible trade-off between the rate and error-correction radius. Specifically, for every 0 < R...
Venkatesan Guruswami, Atri Rudra
DAM
2006
113views more  DAM 2006»
13 years 5 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