MDS self-dual codes over large prime fields
type: Item
instance of: scholarly article
title: MDS self-dual codes over large prime fields
zbMATH Open document ID: 1022.94015
published in: Finite Fields and their Applications
publication date: 2003-04-02T00:00:00Z
review text: Construction techniques for self-dual codes using combinatorial designs are well known. Recently, a new method of constructing self-dual codes was established using orthogonal designs. This method has led to the construction of many new self-dual codes over small fields and rings. This paper gives a generalization of this method to generalized orthogonal designs, and it presents a new method using Diophantine equations over \(\text{GF}(p)\) to find generator matrices for self-dual codes. These two methods are used to construct self-dual codes over \(\text{GF}(31)\) and \(\text{GF}(37)\).
reviewed by: T. Aaron Gulliver
Mathematics Subject Classification ID: 94B60
Mathematics Subject Classification ID: 11T71
Mathematics Subject Classification ID: 94B05
Mathematics Subject Classification ID: 05B30
zbMATH DE Number: 1891458
zbMATH Keywords: self-dual codes
zbMATH Keywords: orthogonal designs
author: Stelios D. Georgiou
author: Christos Koukouvinos
MaRDI profile type: Publication
full work available at URL: ffta.2002.0353
OpenAlex ID: W2053743818
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DOI: 10.1006/FFTA.2002.0353
description: scientific article; zbMATH DE number 1891458