Efficient data compression from statistical physics of codes over finite fields

Abstract

In this paper we discuss a novel data compression technique for binary symmetric sources based on the cavity method over GF(q), the Galois Field of order q. We present a scheme of low complexity and near-optimal empirical performance. The compression step is based on a reduction of a sparse low-density parity-check code over GF(q) and is done through the so… (More)
DOI: 10.1103/PhysRevE.84.051111

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