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Expander Codes (1996)  (Make Corrections)  (58 citations)
Michael Sipser, Daniel A. Spielman
IEEE Symposium on Foundations of Computer Science



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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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860   The Theory of Error-Correcting Codes (context) - MacWilliams, Sloane - 1977
341   Low Density Parity-Check Codes (context) - Gallager - 1963
148   Ramanujan graphs (context) - Lubotzky, Phillips et al. - 1988
141   The complexity of finite functions (context) - Boppana, Sipser - 1990
126   Eigenvalues and expanders (context) - Alon - 1986
90   Introduction to Coding Theory (context) - van Lint - 1992
88   A recursive approach to low complexity codes (context) - Tanner - 1981
88   Deterministic simulation in logspace (context) - Ajtai, Koml'os et al. - 1987
73   Linear-time encodable and decodable error-correcting codes - Spielman - 1996
68   Explicit group theoretical constructions of combinatorial sc.. (context) - Margulis - 1988
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33   Derandomized graph products - Alon, Feige et al. - 1995
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7   Essentials of Error-Control Coding Techniques (context) - Imai - 1990
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Expander Codes - Sipser, Spielman (1996)   (Correct)

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