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» Algorithmic Results in List Decoding
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93
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TIT
2008
122views more  TIT 2008»
14 years 11 months ago
An Efficient Pseudocodeword Search Algorithm for Linear Programming Decoding of LDPC Codes
Abstract--In linear programming (LP) decoding of a low-density parity-check (LDPC) code one minimizes a linear functional, with coefficients related to log-likelihood ratios, over ...
Michael Chertkov, Mikhail G. Stepanov
CIKM
2011
Springer
13 years 11 months ago
SIMD-based decoding of posting lists
Powerful SIMD instructions in modern processors offer an opportunity for greater search performance. In this paper, we apply these instructions to decoding search engine posting ...
Alexander A. Stepanov, Anil R. Gangolli, Daniel E....
109
Voted
CORR
2011
Springer
186views Education» more  CORR 2011»
14 years 6 months ago
Key Reduction of McEliece's Cryptosystem Using List Decoding
Different variants of the code-based McEliece cryptosystem were proposed to reduce the size of the public key. All these variants use very structured codes, which open the door t...
Morgan Barbier
108
Voted
APPROX
2007
Springer
160views Algorithms» more  APPROX 2007»
15 years 5 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
59
Voted
CORR
2010
Springer
91views Education» more  CORR 2010»
14 years 11 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...