Some Results Concerning Permutation Polynomials over Finite Fields

Let p be a prime, p a power of p and 𝔽q the finite field with q elements. Any function φ: 𝔽q → 𝔽q can be unqiuely represented by a polynomial, 𝔽φ of degree < q. If the map x ↦ Fφ(x) induces a permutation on the underlying field we say Fφ is a permutation polynomial. Permutation polynomials have a...

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Bibliographic Details
Main Author: Lappano, Stephen
Format: Others
Published: Scholar Commons 2016
Subjects:
Online Access:http://scholarcommons.usf.edu/etd/6293
http://scholarcommons.usf.edu/cgi/viewcontent.cgi?article=7489&amp;context=etd