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wright1278891484.pdf (294.25 KB)
ETD Abstract Container
Abstract Header
An Investigation of Group Developed Weighing Matrices
Author Info
Hollon, Jeff R.
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=wright1278891484
Abstract Details
Year and Degree
2010, Master of Science (MS), Wright State University, Mathematics.
Abstract
A weighing matrix is a square matrix whose entries are 1, 0 or -1 and has the property that the matrix times its transpose is some integer multiple of the identity matrix. We examine the case where these matrices are said to be developed by an abelian group. Through a combination of extending previous results and by giving explicit constructions we will answer the question of existence for 318 such matrices of order and weight both below 100. At the end, we are left with 98 open cases out of a possible 1,022. Further, some of the new results provide insight into the existence of matrices with larger weights and orders.
Committee
K. T. Arasu, Ph.D. (Advisor)
Yuqing Chen, Ph.D. (Committee Member)
Xiaoyu Liu, Ph.D. (Committee Member)
Pages
49 p.
Subject Headings
Mathematics
Keywords
group developed
;
group invariant
;
weighing matrix
;
abelian groups
;
circulant
;
hadamard
;
matrices
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RIS
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Citations
Hollon, J. R. (2010).
An Investigation of Group Developed Weighing Matrices
[Master's thesis, Wright State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=wright1278891484
APA Style (7th edition)
Hollon, Jeff.
An Investigation of Group Developed Weighing Matrices.
2010. Wright State University, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=wright1278891484.
MLA Style (8th edition)
Hollon, Jeff. "An Investigation of Group Developed Weighing Matrices." Master's thesis, Wright State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=wright1278891484
Chicago Manual of Style (17th edition)
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Document number:
wright1278891484
Download Count:
2,382
Copyright Info
© 2010, all rights reserved.
This open access ETD is published by Wright State University and OhioLINK.