Classifying planar monomials over fields of order a prime cubed

DOI10.1016/j.ffa.2021.101959zbMath1500.11086OpenAlexW3217056829WikidataQ114179461 ScholiaQ114179461MaRDI QIDQ2066387

Irene Villa, Emily Bergman, Robert S. Coulter

Publication date: 14 January 2022

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2021.101959

zbMATH Keywords

planar functions, permutation polynomials, projective planes

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Polynomials over finite fields (11T06) Special polynomials in general fields (12E10)

Related Items (1)

Characterizations of a class of planar functions over finite fields

Uses Software

• Magma

Cites Work

• Planar functions over finite fields
• Planar functions and planes of Lenz-Barlotti class II
• On the classification of planar monomials over fields of square order
• A conjecture on affine planes of prime order
• Projective planes of prime order p that admit collineation groups of order \(p^ 2\)
• The Magma algebra system. I: The user language
• On a conjecture of Fernando, Hou and Lappano concerning permutation polynomials over finite fields
• Planar functions and perfect nonlinear monomials over finite fields
• Permutation polynomials over finite fields -- a survey of recent advances
• Planes of order \(n\) with collineation groups of order \(n^ 2\)
• The classification of planar monomials over fields of prime square order
• Unnamed Item

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