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General lower bounds on maximal determinants of binary matrices

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Brent, Richard; Osborn, Judy-Anne

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We give general lower bounds on the maximal determinant of n×n {+1,-1}-matrices, both with and without the assumption of the Hadamard conjecture. Our bounds improve on earlier results of de Launey and Levin (2010) and, for certain congruence classes of n

dc.contributor.authorBrent, Richard
dc.contributor.authorOsborn, Judy-Anne
dc.date.accessioned2015-12-13T22:28:49Z
dc.identifier.issn1077-8926
dc.identifier.urihttp://hdl.handle.net/1885/74382
dc.description.abstractWe give general lower bounds on the maximal determinant of n×n {+1,-1}-matrices, both with and without the assumption of the Hadamard conjecture. Our bounds improve on earlier results of de Launey and Levin (2010) and, for certain congruence classes of n
dc.publisherInternational Press
dc.rightsAuthor/s retain copyright
dc.sourceElectronic Journal of Combinatorics
dc.subjectKeywords: D-optimal designs; Hadamard matrices; Lower bounds; Maximal determinant; {±1}-matrices
dc.titleGeneral lower bounds on maximal determinants of binary matrices
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume20
dc.date.issued2013
local.identifier.absfor010104 - Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)
local.identifier.ariespublicationf5625xPUB4095
local.type.statusPublished Version
local.contributor.affiliationBrent, Richard, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationOsborn, Judy-Anne, University of Newcastle
local.bibliographicCitation.issue2
local.bibliographicCitation.startpage12
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
dc.date.updated2016-02-24T09:21:16Z
local.identifier.scopusID2-s2.0-84876764898
local.identifier.thomsonID000318227600003
dcterms.accessRightsOpen Access
CollectionsANU Research Publications

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