@Book{1908457368,
author="Oertel, Alexander",
title="o-Polynomials and Explicit Formula for o-Monomials",
year="2024",
address="Rostock",
abstract="Hyperovals in finite Desarguesian planes of even order q are sets of q+2 points, of which no three are collinear. By association with o-polynomials over binary finite fields, they can be studied algebraically. In this thesis o-polynomials and an equivalence relation based on the equivalence under collineations of the plane are investigated. A second topic is the connection to 2-to-1 polynomials, where explicit formulas for the known o-monomials allow the construction of 2-to-1 binomials. Finally, some generalizations to fields of odd characteristic are made as well.<eng>",
school="Universit{\"a}t Rostock",
note="vorgelegt von Alexander Oertel",
note="GutachterInnen: Gohar Kyureghyan (Institut f{\"u}r Mathematik, Universit{\"a}t Rostock) ; Lucas Krompholz (Institut f{\"u}r Mathematik, Universit{\"a}t Rostock)",
note="Masterarbeit Universit{\"a}t Rostock 2024",
doi="10.18453/rosdok_id00004695",
url="https://purl.uni-rostock.de/rosdok/id00004695",
url="https://nbn-resolving.org/urn:nbn:de:gbv:28-rosdok_id00004695-4",
url="https://d-nb.info/1349335126/34",
url="https://doi.org/10.18453/rosdok_id00004695",
language="English"
}