Combinatorial metrics: MacWilliams-type identities, isometries and extension property
Information Theory
2017-03-27 v1 math.IT
Abstract
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.
Cite
@article{arxiv.1703.08271,
title = {Combinatorial metrics: MacWilliams-type identities, isometries and extension property},
author = {Jerry Anderson Pinheiro and Roberto Assis Machado and Marcelo Firer},
journal= {arXiv preprint arXiv:1703.08271},
year = {2017}
}