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Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jcta.2010.10.004
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dc.titleFiniteness of circulant weighing matrices of fixed weight
dc.contributor.authorLeung, K.H.
dc.contributor.authorSchmidt, B.
dc.date.accessioned2014-10-28T02:35:18Z
dc.date.available2014-10-28T02:35:18Z
dc.date.issued2011-04
dc.identifier.citationLeung, K.H., Schmidt, B. (2011-04). Finiteness of circulant weighing matrices of fixed weight. Journal of Combinatorial Theory. Series A 118 (3) : 908-919. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jcta.2010.10.004
dc.identifier.issn00973165
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/103275
dc.description.abstractLet n be a fixed positive integer. Every circulant weighing matrix of weight n arises from what we call an irreducible orthogonal family of weight n. We show that the number of irreducible orthogonal families of weight n is finite and thus obtain a finite algorithm for classifying all circulant weighing matrices of weight n. We also show that, for every odd prime power q, there are at most finitely many proper circulant weighing matrices of weight q. © 2010 Elsevier Inc.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/j.jcta.2010.10.004
dc.sourceScopus
dc.subjectCirculant weighing matrices
dc.subjectField descent
dc.subjectOrthogonal families
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1016/j.jcta.2010.10.004
dc.description.sourcetitleJournal of Combinatorial Theory. Series A
dc.description.volume118
dc.description.issue3
dc.description.page908-919
dc.description.codenJCBTA
dc.identifier.isiut000288190800012
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