Polynomial Functions over Rings of Residue Classes of Integers

نویسندگان

  • M Brandon Meredith
  • BRANDON MEREDITH
  • Florian Enescu
  • Michael Brandon Meredith
  • Mihaly Bakonyi
  • Yongwei Yao
  • Priyank Kalla
  • Namrata Shekhar
چکیده

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. INDEX WORDS: Polynomial function, Polynomial, Algebra, Electrical circuit, Simplification, Simplifiable. Equivalence verification POLYNOMIAL FUNCTIONS OVER RINGS OF RESIDUE CLASSES OF INTEGERS

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تاریخ انتشار 2015