Type of Document Master's Thesis Author Meredith, M Brandon URN etd-08062007-132022 Title Polynomial Functions over Rings of Residue Classes of Integers Degree Master of Science Department Mathematics and Statistics Advisory Committee
Advisor Name Title Florian Enescu Committee Chair Mihaly Bakonyi Committee Member Yongwei Yao Committee Member Keywords
- equivalence verification
- simplifiable
- algebra
- electrical circuit
- simplification
Date of Defense 2007-07-23 Availability unrestricted Abstract In this thesis we discuss how to find equivalent representations of polynomial functions over the ring of integers modulo a power of a prime. Specifically, we look for lower degree representations and representations with fewer variables for which important applications in electrical and computer engineering exist. We present several algorithms for finding these compact formulations.Files
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