Characterization of Metrics Induced by Hierarchical Posets
Roberto Assis Machado, Jerry Anderson Pinheiro, Marcelo Firer · IEEE Transactions on Information Theory · 2017
In this paper, we consider metrics determined by hierarchical posets and give explicit formulas 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.