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FOCS
2010
IEEE
13 years 5 months ago
A Fourier-Analytic Approach to Reed-Muller Decoding
Abstract. We present a Fourier-analytic approach to list-decoding Reed-Muller codes over arbitrary finite fields. We use this to show that quadratic forms over any field are locall...
Parikshit Gopalan
TIT
1998
81views more  TIT 1998»
13 years 7 months ago
Fast Iterative Coding Techniques for Feedback Channels
Abstract—A class of capacity-achieving, low-complexity, highreliability, variable-rate coding schemes is developed for communication over discrete memoryless channels with noisel...
James M. Ooi, Gregory W. Wornell
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
CORR
2010
Springer
105views Education» more  CORR 2010»
13 years 2 months ago
Universal and Robust Distributed Network Codes
Random linear network codes can be designed and implemented in a distributed manner, with low computational complexity. However, these codes are classically implemented [1] over fi...
Tracey Ho, Sidharth Jaggi, Svitlana Vyetrenko, Lin...
VTC
2006
IEEE
124views Communications» more  VTC 2006»
14 years 1 months ago
Linear Dispersion for Single-Carrier Communications in Frequency Selective Channels
Abstract— Linear dispersion coded orthogonal frequency division multiplexing (LDC-OFDM) has recently been proposed to improve joint frequency and time diversity. This paper inves...
Jinsong Wu, Steven D. Blostein