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» On the List-Decodability of Random Linear Codes
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TIT
2008
76views more  TIT 2008»
13 years 7 months ago
A Quasi-Random Approach to Space-Time Codes
This paper presents a quasi-random approach to space-time (ST) codes. The basic principle is conceptually simple, yet still very effective and flexible regarding the transmission ...
Keying Y. Wu, Li Ping
TIT
2008
83views more  TIT 2008»
13 years 7 months ago
Hard Problems of Algebraic Geometry Codes
The minimum distance is one of the most important combinatorial characterizations of a code. The maximum likelihood decoding problem is one of the most important algorithmic proble...
Qi Cheng
CORR
2007
Springer
132views Education» more  CORR 2007»
13 years 7 months ago
Probabilistic Analysis of Linear Programming Decoding
Abstract—We initiate the probabilistic analysis of linear programming (LP) decoding of low-density parity-check (LDPC) codes. Specifically, we show that for a random LDPC code e...
Constantinos Daskalakis, Alexandros G. Dimakis, Ri...
APPROX
2006
Springer
100views Algorithms» more  APPROX 2006»
13 years 11 months ago
Robust Local Testability of Tensor Products of LDPC Codes
Given two binary linear codes R and C, their tensor product R C consists of all matrices with rows in R and columns in C. We analyze the "robustness" of the following te...
Irit Dinur, Madhu Sudan, Avi Wigderson
TIT
2008
122views more  TIT 2008»
13 years 7 months ago
An Efficient Pseudocodeword Search Algorithm for Linear Programming Decoding of LDPC Codes
Abstract--In linear programming (LP) decoding of a low-density parity-check (LDPC) code one minimizes a linear functional, with coefficients related to log-likelihood ratios, over ...
Michael Chertkov, Mikhail G. Stepanov