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A [[code]] <math>C\subseteq Q^n</math> over an [[alphabet]] ''Q'' of size |''Q''| = ''q'' is called
''q''-ary ''R''-covering code of length ''n''
if for every word <math>y\in Q^n</math> there is a [[Code word (communication)|codeword]] <math>x\in C</math>
such that the [[Hamming distance]] <math>d_H(x,y)\leq R</math>.
In other words, the [[spheres]] (or [[ball (mathematics)|balls]] or rook-domains) of [[radius]] ''R''
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