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  On Expander Codes

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http://www.enst.fr/~zemor/expander.ps
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Abstract:

Sipser and Spielman have introduced a constructive family of asymptotically good linear error-correcting codes { expander codes { together with a simple parallel algorithm that will always remove a constant fraction of errors. We introduce a variation on their decoding algorithm that, with no extra cost in complexity, provably corrects up to 12 times more errors. Index terms. Expander code, Ramanujan graph, Decoding. 1

Citations

1287 The Theory of Error-Correcting Codes – MacWilliams, Sloane - 1978
204 A recursive approach to low complexity codes – Tanner - 1981
200 Ramanujan graphs – Lubotzky, Philips, et al. - 1988
167 Expander codes – Sipser, Spielman - 1996
151 Explicit group theoretical constructions of combinatorial schemes and their applications to the design of expanders and concentrators, Problemy Peredachi Informatsii 24 (1 – Margulis - 1988
75 Explicit construction of linear sized tolerant networks – Alon, Chung - 1986