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Characterization of metrics induced by hierarchical posets (1508.00914v3)
Published 4 Aug 2015 in cs.IT and math.IT
Abstract: In this paper we consider metrics determined by hierarchical posets and give explicit formulae for the main parameters of a linear code: the minimum distance and the packing, covering and Chebyshev radii of a code. We also present ten characterizations of hierarchical poset metrics, including new characterizations and simple new proofs to the known ones.