Association schemes and mutually unbiased Hadamard matrices

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dc.contributor.authorSasani, Sara
dc.contributor.authorUniversity of Lethbridge. Faculty of Arts and Science
dc.contributor.supervisorKharaghani, Hadi
dc.date.accessioned2015-08-27T19:32:40Z
dc.date.available2015-08-27T19:32:40Z
dc.date.issued2015
dc.degree.levelMastersen_US
dc.description.abstractThis thesis is an examination of the theory of association schemes. A part of this thesis focuses on the relation between association schemes and different combinatorial objects. Special attention is paid to the notion of Bose-Mesner algebra of an association scheme, which leads us to eigenmatrices, Krein matrices, and intersection matrices. It is shown that if an association scheme is imprimitive, it can be used to generate a quotient association scheme. Different constructions are used to generate association schemes. This thesis explains how to generate a new class of association schemes from mutually unbiased Bushtype Hadamard matrices (abbreviated as MUBH). This class of association schemes leads to an upper bound on the number of mutually unbiased Bush-type Hadamard matrices. Lastly, the existence of this class of association schemes results in the existence of sets of MUBH.en_US
dc.embargoNoen_US
dc.identifier.urihttps://hdl.handle.net/10133/3728
dc.language.isoen_CAen_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.subjectassociation schemeen_US
dc.subjectBush-type Hadamard matricesen_US
dc.subjectcombinatoricsen_US
dc.titleAssociation schemes and mutually unbiased Hadamard matricesen_US
dc.typeThesisen_US
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