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» Combinatorial bounds for list decoding
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ICS
2010
Tsinghua U.
13 years 11 months ago
Weight Distribution and List-Decoding Size of Reed-Muller Codes
: We study the weight distribution and list-decoding size of Reed-Muller codes. Given a weight parameter, we are interested in bounding the number of Reed-Muller codewords with a w...
Tali Kaufman, Shachar Lovett, Ely Porat
TIT
2010
136views Education» more  TIT 2010»
13 years 2 months ago
The existence of concatenated codes list-decodable up to the hamming bound
We prove that binary linear concatenated codes with an outer algebraic code (specifically, a folded Reed-Solomon code) and independently and randomly chosen linear inner codes ach...
Venkatesan Guruswami, Atri Rudra
APPROX
2007
Springer
160views Algorithms» more  APPROX 2007»
14 years 1 months ago
Better Binary List-Decodable Codes Via Multilevel Concatenation
We give a polynomial time construction of binary codes with the best currently known trade-off between rate and error-correction radius. Specifically, we obtain linear codes ove...
Venkatesan Guruswami, Atri Rudra
APPROX
2008
Springer
190views Algorithms» more  APPROX 2008»
13 years 9 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
DCC
2008
IEEE
14 years 7 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