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 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.

Page Count

42

Department or Program

Department of Mathematics and Statistics

Year Degree Awarded

2013


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