We study probabilistic complexity classes and questions of derandomisation from a logical point of view. For each logic L we introduce a new logic BPL, bounded error probabilistic ...
-- We characterize the best achievable performance of lossy compression algorithms operating on arbitrary random sources, and with respect to general distortion measures. Direct an...
Linear programming decoding for low-density parity check codes (and related domains such as compressed sensing) has received increased attention over recent years because of its p...
Sanjeev Arora, Constantinos Daskalakis, David Steu...
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...
— In this paper, we extend the notion of generalized Hamming weight for classical linear block code to linear network codes by introducing the network generalized Hamming weight ...