%0 Book
%T o-Polynomials and Explicit Formula for o-Monomials
%A Oertel, Alexander
%D 2024
%C Rostock
%C Universität Rostock
%G English
%F 1908457368
%O vorgelegt von Alexander Oertel
%O GutachterInnen: Gohar Kyureghyan (Institut für Mathematik, Universität Rostock) ; Lucas Krompholz (Institut für Mathematik, Universität Rostock)
%O Masterarbeit Universität Rostock 2024
%X 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>
%L 510
%9 theses
%9 Text
%9 Hochschulschrift
%R 10.18453/rosdok_id00004695
%U https://purl.uni-rostock.de/rosdok/id00004695
%U https://nbn-resolving.org/urn:nbn:de:gbv:28-rosdok_id00004695-4
%U https://d-nb.info/1349335126/34
%U https://doi.org/10.18453/rosdok_id00004695