Covering code: Difference between revisions

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In [[coding theory]], a '''covering code''' is an object satisfying a certain mathematical property: A code of length ''n'' over ''Q'' is an ''R''-covering code if for every word of <math>Q^n</math> there is a codeword such that their [[Hamming distance]] is <math>\le R</math>.
 
<math>ERf</math>== Definition ==
 
Let <math>q\geq 2</math>, <math>n\geq 1</math>, <math>R\geq 0</math> be [[integers]].