The automorphism groups of BCH codes and of some affine-invariant codes over extension fields
type: Item
instance of: scholarly article
title: The automorphism groups of BCH codes and of some affine-invariant codes over extension fields
zbMATH Open document ID: 0957.94031
DOI: 10.1023/A:1008372800005
author: Thierry P. Berger
author: Pascale Charpin
published in: Designs, Codes and Cryptography
publication date: 2001-01-01T00:00:00Z
review text: The class of affine-invariant codes is an important class of extended cyclic codes, for example this class includes extended BCH codes and generalized Reed-Muller codes. The automorphism groups of a number of affine-invariant codes were determined by the authors of the paper under review in [IEEE Trans. Inf. Theory 42, No. 6, Pt. 2, 2194-2209 (1996; Zbl 0883.94012)]. Here these results are generalized to codes with few zeros and to primitive BCH codes where the alphabet field is an extension field.
reviewed by: Piroska Lakatos
Mathematics Subject Classification ID: 94B05
Mathematics Subject Classification ID: 94B15
Mathematics Subject Classification ID: 20G40
Mathematics Subject Classification ID: 20B25
zbMATH DE Number: 1548359
zbMATH Keywords: cyclic codes
zbMATH Keywords: extended cyclic codes
zbMATH Keywords: affine-invariant codes
zbMATH Keywords: BCH codes
zbMATH Keywords: GRM codes
zbMATH Keywords: permutation group
zbMATH Keywords: automorphism group
MaRDI profile type: Publication
full work available at URL: a:1008372800005
OpenAlex ID: W1591839408
description: scientific article; zbMATH DE number 1548359