(Enter summary)
Abstract: We show that for low-density parity-check (LDPC) codes with sucient expansion, the
Linear Programming (LP) Decoder of Feldman, Karger and Wainwright (Allerton, 2003)
can correct a constant fraction of errors. More speci
cally, we show that if the Tanner
graph modeling the code has regular left degree c and expands by a factor more than c on
all variable node sets of size at most n, where >
+
3c
, then the LP decoder succeeds
as long as at most
2 1 (n 1) bits are ipped by the... (Update)
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BibTeX entry: (Update)
J. Feldman, T. Malkin, R. A. Servedio, C. Stein, and M. J. Wainwright. LP decoding corrects a constant fraction of errors. Technical Report CORC Technical Report TR-2003-08, Operations Research, Columbia University, December 2003. http://citeseer.ist.psu.edu/feldman03lp.html More
@misc{ feldman03lp,
author = "J. Feldman and T. Malkin and R. Servedio and C. Stein and M. Wainwright",
title = "LP decoding corrects a constant fraction of errors",
text = "J. Feldman, T. Malkin, R. A. Servedio, C. Stein, and M. J. Wainwright.
LP decoding corrects a constant fraction of errors. Technical Report CORC
Technical Report TR-2003-08, Operations Research, Columbia University, December
2003.",
year = "2003",
url = "citeseer.ist.psu.edu/feldman03lp.html" }
Citations (may not include all citations):
3972
Introduction to Algorithms (context) - Cormen, Leiserson et al. - 2001
717
Theory of Linear and Integer Programming (context) - Schrijver - 1987
559
Near Shannon limit error-correcting coding and decoding: tur.. (context) - Berrou, Glavieux et al. - 1993
341
Low-density parity-check codes (context) - Gallager - 1962
137
Prentice-Hall (context) - Ahuja, Magnanti et al. - 1993
99
The capacity of low-density parity-check codes under message..
- Richardson, Urbanke - 2001
88
A recursive approach to low complexity codes (context) - Tanner - 1981
61
Design of capacity approaching irregular low-density parity .. (context) - Richardson, Shokrollahi et al. - 2001
59
Codes and Decoding on General Graphs
- Wiberg - 1996
44
Improved low-density paritycheck codes using irregular graph..
- Luby, Mitzenmacher et al. - 1998
32
IEEE Transactions on Information Theory (context) - Sipser, Spielman - 1996
14
and new constant-degree expanders and extractors (context) - Reingold, Vadhan et al. - 2000
11
Finite length analysis of low-density parity check codes (context) - Di and, Proietti et al. - 2002
8
IEEE Transaction of Information Theory (context) - emor, codes - 2001
8
Randomness conductors and constant-degree expansion beyond t.. (context) - Capalbo, Reingold et al. - 2002
8
IEEE Transactions on Information Theory (context) - Barg, emor et al. - 2002
8
Expander-based constructions of eciently decodable codes (context) - Guruswami, Indyk - 2001
5
Signal-space characterization of iterative decoding
- Frey, Koetter et al. - 2001
5
Decoding Error-Correcting Codes via Linear Programming (context) - Feldman - 2003
4
Decoding turbo-like codes via linear programming (context) - Feldman, Karger - 2002
3
Personal communication (context) - Koetter - 2002
3
Using linear programming to decode linear codes
- Feldman, Wainwright et al. - 2003
2
LP decoding (context) - Feldman, Karger et al. - 2003
2
Improved bounds on the word error probability of RA (context) - Even, Halabi - 2003
2
ective weights of pseudocodewords for codes de ned on graphs.. (context) - Forney, Koetter et al. - 2001
2
Graph-covers and iterative decoding of nite length codes (context) - Koetter, Vontobel - 2003
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