Generalized weighing matrices and self-orthogonal codes
type: Item
instance of: scholarly article
title: Generalized weighing matrices and self-orthogonal codes
zbMATH Open document ID: 1193.94074
author: Vladimir D. Tonchev
published in: Discrete Mathematics
publication date: 2009-12-15T00:00:00Z
review text: This paper presents that are one of the classes of Hermitian self-orthogonal codes may be derived from row spaces of certain generalized weighing matrices, Bhaska Rao designs, and generalized Hadamard matrices, over a finite field of order \(q\). A special case of \(q= 4\) shows that the codes obtained in Theorem 8 of the paper are optimal. These optimal codes are quantum error-correcting codes is interesting.
reviewed by: Bai Kishan Dass
Mathematics Subject Classification ID: 94B20
Mathematics Subject Classification ID: 05B10
zbMATH DE Number: 5648012
zbMATH Keywords: generalized weighing matrix
zbMATH Keywords: generalized Hadamard matrix
zbMATH Keywords: Bhaskar Rao design
zbMATH Keywords: self-orthogonal code
zbMATH Keywords: quantum code
MaRDI profile type: Publication
full work available at URL: j.disc.2008.05.036
OpenAlex ID: W1984163936
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DOI: 10.1016/J.DISC.2008.05.036
description: scientific article; zbMATH DE number 5648012