2026-09-19T02:32:52.746444100Zhttps://opus.uleth.ca/server/oai/request
oai:opus.uleth.ca:10133/64492023-03-21T21:42:33Zcom_10133_3346com_10133_1com_10133_296col_10133_3347col_10133_298
ULethbridge OPUS Repository supervisor Kharaghani, Hadi author Kordani, Alieh author University of Lethbridge. Faculty of Arts and Science 2023-03-17T17:51:48Z 2023-03-17T17:51:48Z 2023 https://hdl.handle.net/10133/6449 Following 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 balanced incomplete block designs BIBDs Hadamard matrices quasi-residual designs combinatorial structures incomplete designs Combinatorial designs and configurations Block designs Incomplete block designs Dissertations, Academic A recursive construction for some combinatorial designs Thesis 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URL http://localhost:4000/bitstreams/99482d8d-9340-4027-984f-a43718fd0893/download File MD5 fba424d38f6f0de054da89922566b47f 284353 application/pdf KORDANI_ALIEH_MSc_2023.pdf URL http://localhost:4000/bitstreams/ed68721c-cd22-4ed8-88c0-31741c93ce0f/download File MD5 3e6c746926f97e2c5ae1090173827c90 96230 text/plain KORDANI_ALIEH_MSc_2023.pdf.txt