o-Polynomials and Explicit Formula for o-Monomials
Oertel, Alexander
2001-
VerfasserIn
aut
Kyureghyan, Gohar M.
1974-
AkademischeR BetreuerIn
dgs
Krompholz, Lucas
AkademischeR BetreuerIn
dgs
Universität Rostock
Grad-verleihende Institution
dgg
Universität Rostock
Mathematisch-Naturwissenschaftliche Fakultät
Grad-verleihende Institution
dgg
text
theses
Text
Hochschulschrift
gw
2024
monographic
XA-DE
Rostock
Universität Rostock
publisher
2024
Rostock
Universitätsbibliothek Rostock
distributor
eng
application/pdf
1 Online-Ressource (I, 86 Seiten) Illustrationen
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>
Open Access
Namensnennung 4.0 International
vorgelegt von Alexander Oertel
GutachterInnen: Gohar Kyureghyan (Institut für Mathematik, Universität Rostock) ; Lucas Krompholz (Institut für Mathematik, Universität Rostock)
Masterarbeit Universität Rostock 2024
510
516
510
https://purl.uni-rostock.de/rosdok/id00004695
https://doi.org/10.18453/rosdok_id00004695
https://nbn-resolving.org/urn:nbn:de:gbv:28-rosdok_id00004695-4
https://d-nb.info/1349335126/34
urn:nbn:de:gbv:28-rosdok_id00004695-4
10.18453/rosdok_id00004695
1468601708
rda
DE-627
241113
1908457368
20251227T182444.0
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