A note on permutation polynomials and finite geometries

DOI10.1016/0012-365X(90)90299-WzbMath0699.51008WikidataQ126781568 ScholiaQ126781568MaRDI QIDQ913248

David Gluck

Publication date: 1990

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

affine planepermutation polynomial

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Combinatorial aspects of finite geometries (05B25) Polynomials over finite fields (11T06)

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On projective planes admitting elations and homologies ⋮ Characterizations of analytic planar functions ⋮ Orthomorphisms and the construction of projective planes ⋮ The combinatorics of binary arrays ⋮ Generalized hyper-bent functions over \(GF(p)\) ⋮ The apparent structure of dense Sidon sets ⋮ A note on commutative semifield planes ⋮ On homogeneous planar functions ⋮ Relative \((p^a, p^b, p^a, p^{a-b})\)-difference sets: A unified exponent bound and a local ring construction ⋮ Commutative presemifields and semifields ⋮ Small circulant complex Hadamard matrices of Butson type ⋮ О бент-функциях на группе $\mathbb Z_{p^n}$ ⋮ An answer to Hirasaka and Muzychuk: every \(p\)-Schur ring over \(C_p^3\) is Schurian. ⋮ On the number of distinct values of a class of functions over a finite field ⋮ Strict avalanche criterion over finite fields ⋮ On \((p^2,p,p^2,p)\)-difference sets in \(\mathbb{Z}_p^3\) ⋮ The classification of planar monomials over fields of prime square order ⋮ On the structure of Abelian groups admitting divisible difference sets ⋮ Onp-Schur Rings Over Abelian Groups of Orderp³

Cites Work

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• Planes of order \(n\) with collineation groups of order \(n^ 2\)
• Exponential Sums Related to Polynomials Over the GF(p)
• Ovals In a Finite Projective Plane

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