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» Linear Codes over Finite Chain Rings
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CORR
2008
Springer
103views Education» more  CORR 2008»
13 years 7 months ago
"Real" Slepian-Wolf Codes
We provide a novel achievability proof of the Slepian-Wolf theorem for i.i.d. sources over finite alphabets. We demonstrate that random codes that are linear over the real field ac...
Bikash Kumar Dey, Sidharth Jaggi, Michael Langberg
CISS
2008
IEEE
14 years 1 months ago
Near optimal lossy source coding and compression-based denoising via Markov chain Monte Carlo
— We propose an implementable new universal lossy source coding algorithm. The new algorithm utilizes two wellknown tools from statistical physics and computer science: Gibbs sam...
Shirin Jalali, Tsachy Weissman
SIAMDM
2008
105views more  SIAMDM 2008»
13 years 7 months ago
Average Spectra and Minimum Distances of Low-Density Parity-Check Codes over Abelian Groups
Ensembles of regular low-density parity-check codes over any finite Abelian group G are studied. The nonzero entries of the parity matrix are randomly chosen, independently and uni...
Giacomo Como, Fabio Fagnani
CORR
2010
Springer
261views Education» more  CORR 2010»
13 years 4 months ago
Analysis of Quasi-Cyclic LDPC codes under ML decoding over the erasure channel
In this paper, we show that over the binary erasure channel, Quasi-Cyclic LDPC codes can efficiently accommodate the hybrid iterative/ML decoding. We demonstrate that the quasicycl...
Mathieu Cunche, Valentin Savin, Vincent Roca
FOCS
1999
IEEE
13 years 11 months ago
Hardness of Approximating the Minimum Distance of a Linear Code
We show that the minimum distance of a linear code is not approximable to within any constant factor in random polynomial time (RP), unless nondeterministic polynomial time (NP) eq...
Ilya Dumer, Daniele Micciancio, Madhu Sudan