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On linear $q$-ary completely regular codes with $ρ=2$ and dual antipodal
Published 24 Feb 2010 in cs.IT, math.CO, and math.IT | (1002.4510v1)
Abstract: We characterize all linear $q$-ary completely regular codes with covering radius $\rho=2$ 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 $\rho=2$, we give a list of all such codes known to us. This also gives the characterization of two weight linear antipodal codes.
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