Publication Date
2012
Document Type
Thesis
Committee Members
Krishnasamy Arasu (Advisor), Richard Mercer (Committee Member), David Miller (Committee Member)
Degree Name
Master of Science (MS)
Abstract
The entropy of an orthogonal matrix is defined by the Gadiyar, Maini, Padma and Sharatchandra who have re-defined Hadamard matrices as the orthogonal matrices that saturate the bound for entropy. They also presented numerical results for maximal entropy for dimension n = 3; 5. We prove the results analytically for n 0(mod 4); n = 3 and construct local extremums for n = 5; 6; 10; 2p; 3p, where p is prime. We also provide cojectures on necessary conditions for optimality and optimal matrices based on the prime factorization of the order.
Page Count
42
Department or Program
Department of Mathematics and Statistics
Year Degree Awarded
2013
Copyright
Copyright 2012, all rights reserved. This open access ETD is published by Wright State University and OhioLINK.
