Article: Findings from University College advance knowledge in information technology.

"A framework for linear-programming (LP) decoding of nonbinary linear codes over rings is developed. This framework facilitates LP-based reception for coded modulation systems which use direct modulation mapping of coded symbols," investigators in Dublin, Ireland report.

"It is proved that the resulting LP decoder has the ''maximum-likelihood (ML) certificate'' property. It is also shown that the decoder output is the lowest cost pseudocodeword. Equivalence between pseudocodewords of the linear program and pseudocodewords of graph covers is proved. It is also proved that if the modulator-channel combination satisfies a particular symmetry condition, the codeword ...

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