Hyperplane codes
type: Item
instance of: scholarly article
title: Hyperplane codes
zbMATH Open document ID: 0606.94006
DOI: 10.1007/BF02582948
author: T. Bier
published in: Graphs and Combinatorics
publication date: 1985-01-01T00:00:00Z
review text: 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).
reviewed by: Nikolai L. Manev
Mathematics Subject Classification ID: 94B25
Mathematics Subject Classification ID: 05B99
zbMATH DE Number: 3981085
zbMATH Keywords: linear codes
zbMATH Keywords: weight distribution
zbMATH Keywords: hypercubic association scheme
MaRDI profile type: Publication
cites work: Linear codes with given automorphism groups
cites work: Weights of linear codes and strongly regular normed spaces
full work available at URL: https://doi.org/10.1007/bf02582948
OpenAlex ID: W2913845680
description: scientific article; zbMATH DE number 3981085