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...
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...
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...
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...
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...