\(\mathbb Z_8\)-cyclic codes and quadratic residue codes
type: Item
instance of: scholarly article
title: \(\mathbb Z_8\)-cyclic codes and quadratic residue codes
zbMATH Open document ID: 0987.94042
author: Mei Hui Chiu
author: Yung Yu
author: Stephen Yau
published in: Advances in Applied Mathematics
publication date: 2000-11-16T00:00:00Z
review text: Quadratic residue codes over \(\mathbb Z_8\) are defined using their idempotent generators, and it is shown that they have many properties analogous to quadratic residue codes over a finite field. The codes are studied in detail and are shown to have large automorphism groups, which will be useful in the decoding of these codes.
Mathematics Subject Classification ID: 94B15
Mathematics Subject Classification ID: 11T71
Mathematics Subject Classification ID: 94B40
zbMATH DE Number: 1531146
zbMATH Keywords: cyclic codes
zbMATH Keywords: quadratic residue codes
zbMATH Keywords: automorphism groups
zbMATH Keywords: decoding
reviewed by: Tor Helleseth
MaRDI profile type: Publication
full work available at URL: aama.2000.0687
OpenAlex ID: W1967413832
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DOI: 10.1006/AAMA.2000.0687
description: scientific article; zbMATH DE number 1531146