Combinatorial aspects of covering arrays

Covering arrays generalize orthogonal arrays by requiring that <em>t</em> -tuples be covered, but not requiring that the appearance of <em>t</em> -tuples be balanced.<br />Their uses in screening experiments has found application in software testing, hardware testing, a...

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Main Author: Charles J. Colbourn
Format: Article
Language:English
Published: Università degli Studi di Catania 2004-11-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/166
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description Covering arrays generalize orthogonal arrays by requiring that <em>t</em> -tuples be covered, but not requiring that the appearance of <em>t</em> -tuples be balanced.<br />Their uses in screening experiments has found application in software testing, hardware testing, and a variety of fields in which interactions among factors are to be identified. Here a combinatorial view of covering arrays is adopted, encompassing basic bounds, direct constructions, recursive constructions, algorithmic methods, and applications.<br />
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spelling doaj.art-0a62f2aeb2e44e1d9a32d43c672193e82022-12-22T01:55:46ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982004-11-01591,2125172144Combinatorial aspects of covering arraysCharles J. ColbournCovering arrays generalize orthogonal arrays by requiring that <em>t</em> -tuples be covered, but not requiring that the appearance of <em>t</em> -tuples be balanced.<br />Their uses in screening experiments has found application in software testing, hardware testing, and a variety of fields in which interactions among factors are to be identified. Here a combinatorial view of covering arrays is adopted, encompassing basic bounds, direct constructions, recursive constructions, algorithmic methods, and applications.<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/166Covering arrayQualitative independencetransversal coverOrthogonal arrayTransversal designPerfect hash familyInteraction testingGroup-divisible designsHeuristic searchGreedy algorithm
spellingShingle Charles J. Colbourn
Combinatorial aspects of covering arrays
Le Matematiche
Covering array
Qualitative independence
transversal cover
Orthogonal array
Transversal design
Perfect hash family
Interaction testing
Group-divisible designs
Heuristic search
Greedy algorithm
title Combinatorial aspects of covering arrays
title_full Combinatorial aspects of covering arrays
title_fullStr Combinatorial aspects of covering arrays
title_full_unstemmed Combinatorial aspects of covering arrays
title_short Combinatorial aspects of covering arrays
title_sort combinatorial aspects of covering arrays
topic Covering array
Qualitative independence
transversal cover
Orthogonal array
Transversal design
Perfect hash family
Interaction testing
Group-divisible designs
Heuristic search
Greedy algorithm
url http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/166
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