Date of Award
Master of Science (MS)
In this thesis hyperovals and ovals are considered in the projective plane PG(2,q), q = 2m even. Traditionally these objects are studied algebraically via o-polynomials. In our work, a different approach is used by means of g-functions. These functions also provide a natural description of Niho bent functions. Using g-functions, all ovals and Niho bent functions are listed up to equivalency for dimensions m ≤ 6.
Shat, Rasha M. E., "OVALS AND NIHO BENT FUNCTIONS IN SMALL DIMENSIONS" (2021). Theses. 805.