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cs.IT2018
Weights which respect support and NN-decoding
Roberto Assis Machado, Marcelo Firer
In this work we explore a family of metrics over finite fields which respect the support of vectors. We show how these metrics can be obtained from the edge-weighted Hamming cube a…
cs.IT2018
A Distance Between Channels: the average error of mismatched channels
Rafael G. L. D'Oliveira, Marcelo Firer
Two channels are equivalent if their maximum likelihood (ML) decoders coincide for every code. We show that this equivalence relation partitions the space of channels into a genera…