Automorphisms of constant weight codes and of divisible designs
type: Item
instance of: scholarly article
title: Automorphisms of constant weight codes and of divisible designs
zbMATH Open document ID: 0977.94056
DOI: 10.1023/A:1008375603014
author: Ralph-Hardo Schulz
author: Antonino Giorgio Spera
published in: Designs, Codes and Cryptography
publication date: 2002-01-21T00:00:00Z
review text: After showing how to construct a constant weight code \(C(D)\) from a divisible design \(D\), the authors study how the automorphism groups of \(D\) and \(C(D)\) are related. The main result is the following: Aut\((D)\) induces a faithful group of automorphisms on \(C(D)\), which either is equal to Aut\((C(D))\) or has index equal to \(2\) in Aut\((C(D))\). In the latter case the number of points necessarily is twice the number of the block size. Besides this fundamental relation between designs and codes, the authors provide an extensive list of 28 references including many items with new results on constant weight codes which are relevant for applications.
reviewed by: Dirk Hachenberger
Mathematics Subject Classification ID: 94B60
Mathematics Subject Classification ID: 05B30
Mathematics Subject Classification ID: 51E30
zbMATH DE Number: 1441594
zbMATH Keywords: divisible design
zbMATH Keywords: constant weight code
zbMATH Keywords: automorphism group
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1441594