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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… Click to show full abstract
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.
Keywords:
characterization metrics;
hierarchical posets;
metrics induced;
induced hierarchical
Journal Title: IEEE Transactions on Information Theory
Year Published: 2017
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Journal Title: IEEE Transactions on Information Theory
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!