Hyperplane codes (Q1085139)

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scientific article; zbMATH DE number 3981085
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English
Hyperplane codes
scientific article; zbMATH DE number 3981085

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    Hyperplane codes (English)
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    1985
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    A family of q-ary linear codes with length \(N=\left( \begin{matrix} n\\ m\end{matrix} \right)(q-1)^{m-1}\) and dimension n (or n-1) is constructed and the weight distribution of these codes is calculated. It is shown that they are subschemes of the hypercubic association scheme H(N,q).
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    linear codes
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    weight distribution
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    hypercubic association scheme
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