On the graph of a function in two variables over a finite field

DOI10.1007/s10801-006-7396-4zbMath1116.51005OpenAlexW2019830914MaRDI QIDQ2494275

Simeon Ball, Michel Lavrauw

Publication date: 26 June 2006

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-006-7396-4

zbMATH Keywords

ovoidsgeneralized quadranglesdirections determined by a functiondirections determined by a set

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Generalized quadrangles and generalized polygons in finite geometry (51E12)

Related Items (6)

On linear codes whose weights and length have a common divisor ⋮ Functions over finite fields that determine few directions ⋮ On the number of directions determined by a pair of functions over a prime field ⋮ On the cylinder conjecture ⋮ Complete arcs on the parabolic quadric Q\((4,q)\) ⋮ On the graph of a function in many variables over a finite field

Cites Work

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• Even order inversive planes, generalized quadrangles and codes
• On the number of slopes of the graph of a function defined on a finite field
• The number of directions determined by a function over a finite field.
• Linear point sets and Rédei type \(k\)-blocking sets in \(\mathrm{PG}(n,q)\)
• On ovoids of parabolic quadrics
• On ovoids of O(5,q)

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