A recursive construction for some combinatorial designs

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dc.contributor.authorKordani, Alieh
dc.contributor.authorUniversity of Lethbridge. Faculty of Arts and Science
dc.contributor.supervisorKharaghani, Hadi
dc.date.accessioned2023-03-17T17:51:48Z
dc.date.available2023-03-17T17:51:48Z
dc.date.issued2023
dc.degree.levelMastersen_US
dc.description.abstractFollowing Ionin's modified version of a result of Rajkundlia, generalized Hadamard matrices are applied to recursively construct a class of embeddable quasi-residual balanced incomplete block designs (BIBDs). The construction leads to incidence matrices related to the designs with classical parameters. Further, by a similar method and application of Paley matrices the class of balanced weighing matrices with classical parameters are reconstructed. Later in the thesis, following an approach by Ionin, the constructed quasi-residual BIBDs are extended to larger quasi-residual designs. Lastly, employing Kharaghani et al. idea a class of orthogonal arrays is used to show that the constructed quasi-residual designs are embeddable and the Ionin's class of symmetric designs are reconstructed.en_US
dc.identifier.urihttps://hdl.handle.net/10133/6449
dc.language.isoen_USen_US
dc.proquest.subject0405en_US
dc.proquest.subject0280en_US
dc.proquestyesYesen_US
dc.publisherLethbridge, Alta. : University of Lethbridge, Dept. of Mathematics and Computer Science
dc.publisher.departmentDepartment of Mathematics and Computer Science
dc.publisher.facultyArts and Scienceen_US
dc.relation.ispartofseriesThesis (University of Lethbridge. Faculty of Arts and Science)
dc.subjectbalanced incomplete block designs
dc.subjectBIBDs
dc.subjectHadamard matrices
dc.subjectquasi-residual designs
dc.subjectcombinatorial structures
dc.subjectincomplete designs
dc.subjectCombinatorial designs and configurations
dc.subjectBlock designs
dc.subjectIncomplete block designs
dc.subjectDissertations, Academic
dc.subject.lcshHadamard matrices
dc.titleA recursive construction for some combinatorial designsen_US
dc.typeThesisen_US
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