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» Random codes: Minimum distances and error exponents
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CORR
2008
Springer
115views Education» more  CORR 2008»
13 years 5 months ago
Coding over an Erasure Channel with a Large Alphabet Size
An erasure channel with a fixed alphabet size q, where q 1, is studied . It is proved that over any erasure channel (with or without memory), Maximum Distance Separable (MDS) codes...
Shervan Fashandi, Shahab Oveis Gharan, Amir K. Kha...
TIT
2010
90views Education» more  TIT 2010»
13 years 5 days ago
Group codes outperform binary-coset codes on nonbinary symmetric memoryless channels
Typical minimum distances and error exponents are analyzed on the 8-PSK Gaussian channel for two capacityachieving code ensembles with different algebraic structure. It is proved t...
Giacomo Como
CORR
2010
Springer
111views Education» more  CORR 2010»
13 years 2 months ago
Error Exponent for Multiple-Access Channels:Lower Bounds
A unified framework to obtain all known lower bounds (random coding, typical random coding and expurgated bound) on the reliability function of a point-to-point discrete memoryles...
Ali Nazari, Achilleas Anastasopoulos, S. Sandeep P...
DCC
2006
IEEE
14 years 5 months ago
Time-Sharing Vs. Source-Splitting in the Slepian-Wolf Problem: Error Exponents Analysis
We discuss two approaches for decoding at arbitrary rates in the Slepian-Wolf problem - time sharing and source splitting - both of which rely on constituent vertex decoders. We c...
Michelle Effros, Muriel Médard, Todd P. Col...
FOCS
1999
IEEE
13 years 9 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