Gallager error correcting codes for binary asymmetric channels

Details Gallager error correcting codes for binary asymmetric channels Gallager error correcting codes for binary asymmetric channels

2008-03-18

arxiv.org/abs/0803.2580v1

J. Stat. Mech. (2008) P10018

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1088/1742-5468/2008/10/P10018

We derive critical noise levels for Gallager codes on asymmetric channels as a function of the input bias and the temperature. Using a statistical mechanics approach we study the space of codewords and the entropy in the various decoding regimes. We further discuss the relation of the convergence of the message passing algorithm with the endogeny property and complexity, characterizing solutions of recursive equations of distributions for cavity fields.

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