On linear $q$-ary completely regular codes with $\rho=2$ and dual antipodal

We characterize all linear $q$ -ary completely regular codes with covering radius $ρ = 2$ 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 $ρ = 2$ , we give a list of all such codes known to us. This also gives the characterization of two weight linear antipodal codes.

On linear $q$ -ary completely regular codes with $ρ = 2$ and dual antipodal

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On linear $q$ -ary completely regular codes with $ρ = 2$ and dual antipodal

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On linear qq-ary completely regular codes with ρ=2ρ=2 and dual antipodal

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On linear qq-ary completely regular codes with ρ=2ρ=2 and dual antipodal

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On linear $q$ -ary completely regular codes with $ρ = 2$ and dual antipodal

讲解博客

AI智能校验

On linear $q$ -ary completely regular codes with $ρ = 2$ and dual antipodal

讲解博客

AI智能校验