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» Limits to List Decoding Random Codes
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CORR
2010
Springer
148views Education» more  CORR 2010»
13 years 4 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
APPROX
2007
Springer
160views Algorithms» more  APPROX 2007»
13 years 11 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
FTTCS
2006
106views more  FTTCS 2006»
13 years 5 months ago
Algorithmic Results in List Decoding
Error-correcting codes are used to cope with the corruption of data by noise during communication or storage. A code uses an encoding procedure that judiciously introduces redunda...
Venkatesan Guruswami
CORR
2007
Springer
115views Education» more  CORR 2007»
13 years 5 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
STOC
2007
ACM
101views Algorithms» more  STOC 2007»
14 years 5 months ago
The price of privacy and the limits of LP decoding
This work is at the intersection of two lines of research. One line, initiated by Dinur and Nissim, investigates the price, in accuracy, of protecting privacy in a statistical dat...
Cynthia Dwork, Frank McSherry, Kunal Talwar