The automorphism groups of BCH codes and of some affine-invariant codes over extension fields

Authors
Berger, TP Charpin, P
Citation
Tp. Berger et P. Charpin, The automorphism groups of BCH codes and of some affine-invariant codes over extension fields, DES CODES C, 18(1-3), 1999, pp. 29-53
Citations number
14
Categorie Soggetti
Computer Science & Engineering
Journal title
DESIGNS CODES AND CRYPTOGRAPHY
ISSN journal
09251022 → ACNP
Volume
18
Issue
1-3
Year of publication
1999
Pages
29 - 53
Database
ISI
SICI code
0925-1022(199912)18:1-3<29:TAGOBC>2.0.ZU;2-W
Abstract
Affine-invariant codes are extended cyclic codes of length p(m) invariant u nder the affine-group acting on F-p(m). This class of codes includes codes of great interest such as extended narrow-sense BCH codes. In recent papers , we classified the automorphism groups of affine-invariant codes [2], [5]. We derive here new results, especially when the alphabet field is an exten sion field, by expanding our previous tools. In particular we complete our results on BCH codes, giving the automorphism groups of extended narrow-sen se BCH codes defined over any extension field.