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Matched Metrics and Channels (1506.03782v1)
Published 11 Jun 2015 in cs.IT, math.CO, and math.IT
Abstract: The most common decision criteria for decoding are maximum likelihood decoding and nearest neighbor decoding. It is well-known that maximum likelihood decoding coincides with nearest neighbor decoding with respect to the Hamming metric on the binary symmetric channel. In this work we study channels and metrics for which those two criteria do and do not coincide for general codes.
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