TY  - BOOK
AU  - Oertel, Alexander
PY  - 2024
DA  - 2024//
TI  - o-Polynomials and Explicit Formula for o-Monomials
PB  - Universität Rostock
CY  - Rostock
AB  - 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>
UR  - https://purl.uni-rostock.de/rosdok/id00004695
UR  - https://nbn-resolving.org/urn:nbn:de:gbv:28-rosdok_id00004695-4
UR  - https://d-nb.info/1349335126/34
UR  - https://doi.org/10.18453/rosdok_id00004695
DO  - 10.18453/rosdok_id00004695
LA  - English
N1  - vorgelegt von Alexander Oertel
ID  - 1908457368
ER  -