Zero-rate reliability function for mismatched decoding

01/25/2021

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by   Marco Bondaschi, et al.

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We derive an upper bound on the reliability function of mismatched decoding for zero-rate codes. The bound is based on a result by Komlós that shows the existence of a subcode with certain symmetry properties. The bound is shown to coincide with the expurgated exponent at rate zero for a broad family of channel and decoding metric pairs.