Weighing matrices: generalizations and related configurations

dc.contributor.authorPender, Thomas
dc.contributor.authorUniversity of Lethbridge. Faculty of Arts and Science
dc.contributor.supervisorKharaghani, Hadi
dc.date.accessioned2022-08-04T19:32:23Z
dc.date.available2022-08-04T19:32:23Z
dc.date.issued2022
dc.degree.levelMastersen_US
dc.description.abstractIt is the purpose of this thesis to explore the relationships that exist between weighing matrices, including their generalizations, and various other combinatorial configurations. Principally, it will be shown that any balanced generalized weighing matrix with entries from a finite abelian group is equivalent to the existence of families of commutative association schemes. Additionally, novel constructions of related combinatorial configurations are presented such as balancedly splittable orthogonal designs and new families of balanced weighing matrices.en_US
dc.identifier.urihttps://hdl.handle.net/10133/6303
dc.language.isoenen_US
dc.proquest.subject0405en_US
dc.proquestyesYesen_US
dc.publisherLethbridge, Alta. : University of Lethbridge, Dept. of Mathematics and Computer Scienceen_US
dc.publisher.departmentDepartment of Mathematics and Computer Scienceen_US
dc.publisher.facultyArts and Scienceen_US
dc.relation.ispartofseriesThesis (University of Lethbridge. Faculty of Arts and Science)en_US
dc.subjectCombinatorial mathematicsen_US
dc.subjectWeighing matrices
dc.subject.lcshMatrices
dc.subject.lcshDissertations, Academic
dc.titleWeighing matrices: generalizations and related configurationsen_US
dc.typeThesisen_US
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