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Abstract: Using expander graphs, we construct a new family of asymptotically good, linear errorcorrecting codes. These codes have linear time sequential decoding algorithms and logarithmic time parallel decoding algorithms that use a linear number of processors. We present both randomized and explicit constructions of these codes. Experimental results demonstrate the good performance of the randomly chosen codes. (Update)
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BibTeX entry: (Update)
M. Sipser, D. A. Spielman, "Expander Codes", IEEE Transactions on Information Theory, 42(6), November 1996, pp. 1710-1722. http://citeseer.ist.psu.edu/sipser96expander.html More
@inproceedings{ sipser94expander,
author = "Michael Sipser and Daniel A. Spielman",
title = "Expander Codes",
booktitle = "{IEEE} Symposium on Foundations of Computer Science",
pages = "566-576",
year = "1994",
url = "citeseer.ist.psu.edu/sipser96expander.html" }
Citations (may not include all citations):
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The Probabilistic Method (context) - Alon, Spencer - 1992
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The Theory of Error-Correcting Codes (context) - MacWilliams, Sloane - 1977
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Low Density Parity-Check Codes (context) - Gallager - 1963
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The complexity of finite functions (context) - Boppana, Sipser - 1990
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Eigenvalues and expanders (context) - Alon - 1986
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Introduction to Coding Theory (context) - van Lint - 1992
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A recursive approach to low complexity codes (context) - Tanner - 1981
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Linear-time encodable and decodable error-correcting codes
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Essentials of Error-Control Coding Techniques (context) - Imai - 1990
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Information storage in a memory assembled from unreliable co.. (context) - Kuznetsov - 1973
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Theory of computation: How to start (context) - Levin - 1991
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Expander Graphs (context) - Kahale - 1993
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://www-math.mit.edu/~spielman/theory/expanders.html):
Expander Codes - Sipser, Spielman (1996)
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