Combinatorial metrics: MacWilliams-type identities, isometries and extension property

Jerry Anderson Pinheiro, Roberto Assis Machado, Marcelo Firer

In this work we characterize the combinatorial metrics admitting a MacWilliams-type identity and describe the group of linear isometries of such metrics. Considering coverings that are not connected, we classify the metrics satisfying the MacWilliams extension property.

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