Characterization of metrics induced by hierarchical posets
classification
💻 cs.IT
math.IT
keywords
hierarchicalmetricscharacterizationscodeposetscharacterizationchebyshevconsider
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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.
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