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» A Lower Bound on List Size for List Decoding
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CORR
2007
Springer
115views Education» more  CORR 2007»
13 years 7 months ago
Error Exponents of Erasure/List Decoding Revisited via Moments of Distance Enumerators
The analysis of random coding error exponents pertaining to erasure/list decoding, due to Forney, is revisited. Instead of using Jensen’s inequality as well as some other inequa...
Neri Merhav
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
ESA
2000
Springer
84views Algorithms» more  ESA 2000»
13 years 11 months ago
On Representations of Algebraic-Geometric Codes for List Decoding
Abstract. We show that all algebraic-geometric codes possess a succinct representation that allows for the list decoding algorithms of [15, 7] to run in polynomial time. We do this...
Venkatesan Guruswami, Madhu Sudan
CORR
2010
Springer
91views Education» more  CORR 2010»
13 years 7 months ago
List Decodability at Small Radii
A (n,d,e), the smallest for which every binary error-correcting code of length n and minimum distance d is decodable with a list of size up to radius e, is determined for all d 2e...
Yeow Meng Chee, Gennian Ge, Lijun Ji, San Ling, Ji...
CORR
2010
Springer
148views Education» more  CORR 2010»
13 years 6 months ago
List decoding for nested lattices and applications to relay channels
— We demonstrate a decoding scheme for nested lattice codes which is able to decode a list of a particular size which contains the transmitted codeword with high probability. Thi...
Yiwei Song, Natasha Devroye