Designs and representation of the symmetric group
type: Item
instance of: scholarly article
title: Designs and representation of the symmetric group
zbMATH Open document ID: 1023.05134
DOI: 10.1023/A:1024166205907
published in: Designs, Codes and Cryptography
publication date: 2003-07-01T00:00:00Z
review text: A spectral characterization ``à la Delsarte'' is given for colored designs held by codes over non-binary alphabets. The tools include association schemes and also the representation theory of the symmetric group: tableaux, Specht modules, and zonal functions.
reviewed by: Patrick Solé
Mathematics Subject Classification ID: 05E10
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 05E30
Mathematics Subject Classification ID: 20C30
Mathematics Subject Classification ID: 94B05
zbMATH DE Number: 1944959
zbMATH Keywords: symmetric group
zbMATH Keywords: association scheme
zbMATH Keywords: Specht module
zbMATH Keywords: Hahn polynomials
zbMATH Keywords: self-dual codes
zbMATH Keywords: tableaux
author: David R. Masson
MaRDI profile type: Publication
full work available at URL: a:1024166205907
OpenAlex ID: W1480733776
description: scientific article; zbMATH DE number 1944959