Covering code: Difference between revisions

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In other words, the [[spheres]] (or [[balls]] or [[rook]]-domains) of [[radius]] ''R''
with respect to the Hamming [[Metric (mathematics)|metric]] around the codewords of ''C'' have to exhaust
the [[Wikt:finite|finite]] [[metric space]] <math>Q^n</math>.
The [[covering radius]] of a code ''C'' is the smallest ''R'' such that ''C'' is ''R''-covering.
Every [[perfect code]] is a covering code of minimal size.