Hyperplane codes
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).
scientific article; zbMATH DE number 3981085