2026-09-18T21:49:49.385196800Zhttps://opus.uleth.ca/server/oai/requestoai:opus.uleth.ca:10133/37282019-02-08T06:20:32Zcom_10133_3346com_10133_1com_10133_296col_10133_3347col_10133_298
ULethbridge OPUS Repository
supervisor
Kharaghani, Hadi
author
Sasani, Sara
author
University of Lethbridge. Faculty of Arts and Science
2015-08-27T19:32:40Z
2015-08-27T19:32:40Z
2015
https://hdl.handle.net/10133/3728
This 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_CA
association scheme
Bush-type Hadamard matrices
combinatorics
Association schemes and mutually unbiased Hadamard matrices
Thesis
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URL
http://localhost:4000/bitstreams/8bbb12f0-d367-45f4-b771-598402da3393/download
File
MD5
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application/pdf
SASANI_SARA_MSC_2015.pdf
URL
http://localhost:4000/bitstreams/a90a18e7-9a0c-4d0b-94ea-591aa18e3d50/download
File
MD5
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text/plain
SASANI_SARA_MSC_2015.pdf.txt