Using polar coordinates, we consider descriptions of translation, Subiaco and Adelaide hyperovals in terms of exponential sums and Kloosterman sums. As an application, we describe a new construction of hyperbent functions that belong to the Charpin and Gong’s family. Explicit examples of this construction are provided as functions with multiple trace terms via Dillon-like exponents.
- Bent functions
- Hyperbent functions
- Kloosterman sums
ASJC Scopus subject areas
- Computer Networks and Communications
- Computational Theory and Mathematics
- Applied Mathematics