Two Lectures on Iterative Coding and Statistical Mechanics

Details Two Lectures on Iterative Coding and Statistical Mechanics Two Lectures on Iterative Coding and Statistical Mechanics

2005-12-14

arxiv.org/abs/cond-mat/0512296v1

Physics

Condensed Matter

Statistical Mechanics

delivered in Les Houches, July 2005

Scientific paper

These are the notes for two lectures delivered at the Les Houches summer school Mathematical Statistical Mechanics, held in July 2005. I review some basic notions on sparse graph error correcting codes with emphasis on `modern' aspects, such as, iterative belief propagation decoding. Relations with statistical mechanics, inference and random combinatorial optimization are stressed, as well as some general mathematical ideas and open problems.

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