On the number of distinct values of a class of functions over a finite field

DOI10.1016/j.ffa.2010.12.002zbMath1236.11105OpenAlexW2007877747MaRDI QIDQ539895

Robert S. Coulter, Rex W. Matthews

Publication date: 31 May 2011

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2010.12.002

zbMATH Keywords

value setsplanar functionsDembowski-Ostrom polynomials

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Exponential sums (11T23)

Related Items (5)

The \textit{crooked} property ⋮ Survey on recent trends towards generalized differential and boomerang uniformities ⋮ On construction and (non)existence of \(c\)-(almost) perfect nonlinear functions ⋮ On the number of distinct values of a class of functions with finite domain ⋮ Image sets of perfectly nonlinear maps

Cites Work

• Planar functions over finite fields
• Planar functions and planes of Lenz-Barlotti class II
• A family of skew Hadamard difference sets
• A conjecture on affine planes of prime order
• A note on permutation polynomials and finite geometries
• Pseudo-Paley graphs and skew Hadamard difference sets from presemifields
• Commutative presemifields and semifields
• Planes of order \(n\) with collineation groups of order \(n^ 2\)
• The classification of planar monomials over fields of prime square order
• Some Theorems on Planar Mappings
• Bent polynomials over finite fields
• Exponential Sums Related to Polynomials Over the GF(p)
• Unnamed Item

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