Krishnasamy Arasu (Advisor), Richard Mercer (Committee Member), David Miller (Committee Member)
Master of Science (MS)
The entropy of an orthogonal matrix is defined by the Gadiyar, Maini, Padma and Sharatchandra who have re-defined Hadamard matrices as the orthogonal matri- ces 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.
Department or Program
Department of Mathematics and Statistics
Year Degree Awarded
Copyright 2012, all rights reserved. This open access ETD is published by Wright State University and OhioLINK.