On certain diagonal equations over finite fields
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Publication:1046462
DOI10.1016/j.ffa.2009.05.001zbMath1228.11090OpenAlexW2073414039MaRDI QIDQ1046462
Xiang-Dong Hou, Christopher Sze
Publication date: 22 December 2009
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://scholarcommons.usf.edu/etd/39
Related Items (5)
Planarity of mappings \(x(\mathrm{Tr}(x)-\frac{\alpha}{2}x)\) on finite fields ⋮ On diagonal equations over finite fields ⋮ RATIONAL POINTS ON SOME FERMAT CURVES AND SURFACES OVER FINITE FIELDS ⋮ Planarity of products of two linearized polynomials ⋮ Planar polynomials arising from linearized polynomials
Cites Work
- An enumeration formula for certain irreducible polynomials with an application to the construction of irreducible polynomials over the binary field
- The number of solutions of certain diagonal equations over finite fields
- On the number of rational points on some families of Fermat curves over finite fields
- Explicit evaluation of certain exponential sums of binary quadratic functions
- Irreducible polynomials over finite fields with prescribed trace/prescribed constant term
- Primitive polynomials with a prescribed coefficient
- Planes of order \(n\) with collineation groups of order \(n^ 2\)
- Kloosterman sums, elliptic curves, and irreducible polynomials with prescribed trace and norm
- Primitive Polynomials Over Finite Fields
- Perfect nonlinear S-boxes
- Generators and irreducible polynomials over finite fields
- Distribution of irreducible polynomials of small degrees over finite fields
- Explicit evaluations of some Weil sums
- Solution to a problem of S. Payne
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