On \(Q\)-ary images of self-dual codes
type: Item
instance of: scholarly article
title: On \(Q\)-ary images of self-dual codes
zbMATH Open document ID: 0768.94015
DOI: 10.1007/BF01294839
published in: Applicable Algebra in Engineering, Communication and Computing
publication date: 1993-04-01T00:00:00Z
review text: The author presents some characterization of \(q\)-ary images of systematic codes and proves that every self-dual code over the finite field \(GF(q^ m)\) has a \(q\)-ary image which is also a self-dual code. Some constructions of symmetric bases together with several examples are given at the end.
Mathematics Subject Classification ID: 94B05
zbMATH DE Number: 146886
zbMATH Keywords: \(q\)-ary images of systematic codes
zbMATH Keywords: self-dual code
zbMATH Keywords: finite field
author: Christophe Mouaha
reviewed by: Joseph J. Liang
MaRDI profile type: Publication
cites work: A note on extended quadratic residue codes over&lt;tex&gt;GF(9)&lt;/tex&gt;and their ternary images (Corresp.)
cites work: Reconstructing the ternary Golay code
cites work: On Binary Cyclic Codes Which are Also Cyclic Codes Over $GF(2^s )$
cites work: Q4146667
cites work: Q5665102
cites work: On Symmetric Representations of Finite Fields
cites work: Q4740007
cites work: Q3758713
cites work: A group algebra construction of binary even self dual codes
full work available at URL: https://doi.org/10.1007/bf01294839
OpenAlex ID: W1974261763
description: scientific article; zbMATH DE number 146886