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On expander codes

by: G. Zemor
Information Theory, IEEE Transactions on, Vol. 47, No. 2. (February 2001), pp. 835-837, doi:10.1109/18.910593  Key: citeulike:12007647

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Abstract

Sipser and Spielman (see ibid., vol.42, p.1717-22, Nov. 1996) 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


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