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dc.contributor.authorNilson, Tomas
dc.contributor.authorCameron, Peter J.
dc.identifier.citationNilson , T & Cameron , P J 2017 , ' Triple arrays from difference sets ' , Journal of Combinatorial Designs , vol. 25 , no. 11 , pp. 494-506 .
dc.identifier.otherPURE: 250586366
dc.identifier.otherPURE UUID: 89f84d8c-26db-4ae2-a4db-f01cc6121db8
dc.identifier.otherScopus: 85029158585
dc.identifier.otherORCID: /0000-0003-3130-9505/work/58055603
dc.identifier.otherWOS: 000410099000002
dc.description.abstractThis paper addresses the question whether triple arrays can be constructed from Youden squares developed from difference sets. We prove that if the difference set is abelian, then having −1 as multiplier is both a necessary and sufficient condition for the construction to work. Using this, we are able to give a new infinite family of triple arrays. We also give an alternative and more direct version of the construction, leaving out the intermediate step via Youden squares. This is used when we analyse the case of non-abelian difference sets, for which we prove a sufficient condition for giving triple arrays. We do a computer search for such non-abelian difference sets, but have not found any examples satisfying the given condition.
dc.relation.ispartofJournal of Combinatorial Designsen
dc.rights© 2017, Wiley Periodicals Inc. This work has been made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at /
dc.subjectBlock designen
dc.subjectDifference seten
dc.subjectTriple arrayen
dc.subjectYouden squareen
dc.subjectQA Mathematicsen
dc.titleTriple arrays from difference setsen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews.Pure Mathematicsen
dc.contributor.institutionUniversity of St Andrews.Centre for Interdisciplinary Research in Computational Algebraen
dc.description.statusPeer revieweden

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