arXiv:1510.03104

Channel Metrization

Rafael G. L. D’Oliveira, Marcelo Firer

Published Oct 11, 2015• 5 citations

Abstract

We present an algorithm that, given a channel, determines if there is a distance for it such that the maximum likelihood decoder coincides with the minimum distance decoder. We also show that any metric, up to a decoding equivalence, can be isometrically embedded into the hypercube with the Hamming metric, and thus, in terms of decoding, the Hamming metric is universal.

DOI: 10.48550/arxiv.1510.03104

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