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Efficient data compression from statistical physics of codes over finite fields
2011
Physical Review E
In this paper we discuss a novel data compression technique for binary symmetric sources based on the cavity method over a Galois Field of order q (GF(q)). We present a scheme of low complexity and near optimal empirical performance. The compression step is based on a reduction of sparse low density parity check codes over GF(q) and is done through the so called reinforced belief-propagation equations. These reduced codes appear to have a non-trivial geometrical modification of the space of
doi:10.1103/physreve.84.051111
pmid:22181373
fatcat:2pheajtygvfpvp5a7v6h7kczvq