The classification of planar monomials over fields of prime square order

DOI10.1090/S0002-9939-06-08346-8zbMath1122.11083MaRDI QIDQ3419916

Robert S. Coulter

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

permutation polynomialDembowski-Ostrom conjectureplanar monomial

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Related Items (10)

Investigating rational perfect nonlinear functions ⋮ On a generalization of planar functions ⋮ Almost perfect and planar functions ⋮ A note on commutative semifield planes ⋮ On homogeneous planar functions ⋮ Commutative presemifields and semifields ⋮ On the number of distinct values of a class of functions over a finite field ⋮ Classifying planar monomials over fields of order a prime cubed ⋮ On the classification of planar monomials over fields of square order ⋮ Planar functions and perfect nonlinear monomials over finite fields

Cites Work

• Unnamed Item
• Planar functions over finite fields
• Planar functions and planes of Lenz-Barlotti class II
• A conjecture on affine planes of prime order
• A note on permutation polynomials and finite geometries
• Projective planes of prime order p that admit collineation groups of order \(p^ 2\)
• Commutative presemifields and semifields
• Planes of order \(n\) with collineation groups of order \(n^ 2\)
• Permutation Properties of the Polynomials 1 + x + ⋯+ x k Over a Finite Field

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