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On linear completely regular codes with covering radius $rho=1$. Construction and classification

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 نشر من قبل Josep Rif\\`a
 تاريخ النشر 2009
  مجال البحث الهندسة المعلوماتية
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Completely regular codes with covering radius $rho=1$ must have minimum distance $dleq 3$. For $d=3$, such codes are perfect and their parameters are well known. In this paper, the cases $d=1$ and $d=2$ are studied and completely characterized when the codes are linear. Moreover, it is proven that all these codes are completely transitive.



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