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1. On linear $q$-ary completely regular codes with $��=2$ and dual antipodal

Author

Borges, Joaquim, Rifa, Josep, and Zinoviev, Victor

Subjects
FOS: Computer and information sciences, Information Theory (cs.IT), FOS: Mathematics, Combinatorics (math.CO), 94B25, 94B60
Abstract

We characterize all linear $q$-ary completely regular codes with covering radius $��=2$ when the dual codes are antipodal. These completely regular codes are extensions of linear completely regular codes with covering radius 1, which are all classified. For $��=2$, we give a list of all such codes known to us. This also gives the characterization of two weight linear antipodal codes.

Published
2010
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