Codes over \(p\)-adic numbers and finite rings invariant under the full affine group
type: Item
instance of: scholarly article
title: Codes over \(p\)-adic numbers and finite rings invariant under the full affine group
zbMATH Open document ID: 1008.94022
published in: Finite Fields and their Applications
publication date: 2002-07-04T00:00:00Z
review text: The author pursues the study of affine invariant codes over rings, finite or infinite, which was started over fields by T. Kasami, S. Lin, and W. Peterson in the 1970's and P. Charpin in the 1980's.
reviewed by: Patrick Solé
Mathematics Subject Classification ID: 94B05
Mathematics Subject Classification ID: 11T71
Mathematics Subject Classification ID: 11S99
zbMATH DE Number: 1763653
zbMATH Keywords: finite rings
zbMATH Keywords: \(p\)-adic numbers
zbMATH Keywords: affine group
zbMATH Keywords: affine invariant codes
author: Kanat Abdukhalikov
MaRDI profile type: Publication
full work available at URL: ffta.2000.0297
OpenAlex ID: W2041437822
cites work: INTEGRAL LATTICES ASSOCIATED WITH A FINITE AFFINE GROUP
cites work: Affine invariant and cyclic codes over \(p\)-adic numbers and finite rings
cites work: Q4242023
cites work: On the theory of group codes
cites work: The automorphism group of Generalized Reed-Muller codes
cites work: The permutation group of affine-invariant extended cyclic codes
cites work: Modular and \(p\)-adic cyclic codes
cites work: A 2-adic approach to the analysis of cyclic codes
cites work: Une generalisation de la construction de berman des codes de reed et muller p-aires
cites work: The Extended Reed-Solomon Codes Considered as Ideals or a Modular Algebra
cites work: On cyclic codes that are invariant under the general linear group
cites work: The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
cites work: Some results on cyclic codes which are invariant under the affine group and their applications
cites work: Cyclic self-dual \(\mathbb Z_4\)-codes.
cites work: Cyclic codes and quadratic residue codes over Z/sub 4/
DOI: 10.1006/FFTA.2000.0297
description: scientific article; zbMATH DE number 1763653