Check character systems over groups and orthogonal Latin squares
type: Item
instance of: scholarly article
title: Check character systems over groups and orthogonal Latin squares
zbMATH Open document ID: 0848.94021
DOI: 10.1007/BF01191380
author: Ralph-Hardo Schulz
published in: Applicable Algebra in Engineering, Communication and Computing
publication date: 1996-10-27T00:00:00Z
review text: In a check character system, a single check character is added in order to detect all single errors and neighbour transpositions (or some other double errors). The characters are elements of a finite map \(G\) and permutations of \(G\) are used to define the check character. Necessary and sufficient conditions are given for the desired error-detection capability, as well as examples. In the second part, error detecting codes with two check characters are treated for recognizing double errors. Some examples use fixed point free automorphisms, the existence of which is equivalent to that of some special sets of mutually orthogonal Latin squares.
reviewed by: L. M. G. M. Tolhuizen
Mathematics Subject Classification ID: 94B60
Mathematics Subject Classification ID: 05B15
zbMATH DE Number: 878199
zbMATH Keywords: check digit systems
zbMATH Keywords: quasigroups
zbMATH Keywords: orthomorphism
zbMATH Keywords: error detecting codes
zbMATH Keywords: check characters
zbMATH Keywords: Latin squares
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 878199