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Orthogonal trades and the intersection problem for orthogonal arrays

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dc.contributor.coauthorDemirkale, Fatih
dc.contributor.coauthorDonovan, Diane M.
dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorKüçükçifçi, Selda
dc.contributor.kuauthorYazıcı, Emine Şule
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-10T00:09:58Z
dc.date.issued2016
dc.description.abstractThis work provides an orthogonal trade for all possible volumes N is an element of Z(+) \ {1, 2, 3, 4, 5, 7} for block size 4. All orthogonal trades of volume N <= 15 are classified up to isomorphism for this block size. The intersection problem for orthogonal arrays with block size 4 is solved for all but finitely many possible exceptions.
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue3
dc.description.openaccessNO
dc.description.sponsoredbyTubitakEuN/A
dc.description.sponsorshipScientific and Technological Research Council of Turkey TUBITAK Grant [110T692, 114F505]
dc.description.sponsorshipTUBITAK Visiting Scientist program [2221]
dc.description.sponsorshipAustralian Research Council [DP1092868]
dc.description.sponsorshipAustralian Research Council [DP1092868] Funding Source: Australian Research Council Fatih Demirkale: This work was supported by Scientific and Technological Research Council of Turkey TUBITAK Grant Number: 110T692. Diane M. Donovan: This work was carried out during a scientific visit to Koc University supported by TUBITAK Visiting Scientist program 2221 and also supported by Australian Research Council (Grant Number DP1092868). Selda Kucukcifci: This work was partially supported by Scientific and Technological Research Council of Turkey TUBITAK Grant Number: 114F505.
dc.description.volume32
dc.identifier.doi10.1007/s00373-015-1638-y
dc.identifier.eissn1435-5914
dc.identifier.issn0911-0119
dc.identifier.scopus2-s2.0-84945152110
dc.identifier.urihttps://doi.org/10.1007/s00373-015-1638-y
dc.identifier.urihttps://hdl.handle.net/20.500.14288/17223
dc.identifier.wos374837800005
dc.keywordsOrthogonal arrays
dc.keywordsCombinatorial trades
dc.keywordsIntersection problem
dc.language.isoeng
dc.publisherSpringer Japan Kk
dc.relation.ispartofGraphs And Combinatorics
dc.subjectMathematics
dc.titleOrthogonal trades and the intersection problem for orthogonal arrays
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorKüçükçifçi, Selda
local.contributor.kuauthorYazıcı, Emine Şule
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Mathematics
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relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
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