Homogeneity theorems on perfect codes in Hamming schemes and generalized Hamming schemes
type: Item
instance of: scholarly article
title: Homogeneity theorems on perfect codes in Hamming schemes and generalized Hamming schemes
zbMATH Open document ID: 0609.94015
author: Akihiro Munemasa
published in: Tokyo Journal of Mathematics
publication date: 1985-01-01T00:00:00Z
review text: A new necessary condition for the existence of perfect codes in the Hamming scheme is proved being an improvement of the sphere packing bound. It is also added in proof that L. Chihara has recently proved the non-existence of any new perfect codes in generalized Hamming scheme, extending in this way the well-known results of van Lint and Tietäväinen.
reviewed by: Vladimir D. Tonchev
Mathematics Subject Classification ID: 94B25
Mathematics Subject Classification ID: 94B05
zbMATH DE Number: 3987201
zbMATH Keywords: existence condition
zbMATH Keywords: perfect codes
zbMATH Keywords: Hamming scheme
zbMATH Keywords: sphere packing bound
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1270151223
OpenAlex ID: W1974684463
DOI: 10.3836/TJM/1270151223
description: scientific article; zbMATH DE number 3987201