A recursive construction for some combinatorial designs

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.

Authors

• Kordani, Alieh
• University of Lethbridge. Faculty of Arts and Science

• 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

Identifier

hdl:10133/6449

OAI identifier oai:identifier

oai:opus.uleth.ca:10133/6449