More translation planes and semifields from Dembowski-Ostrom polynomials

DOI10.1007/S10623-012-9709-ZzbMath1276.51002OpenAlexW2077062015MaRDI QIDQ1951217

Ulrich Dempwolff

Publication date: 30 May 2013

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-012-9709-z

zbMATH Keywords

semifieldstranslation planesDembowski-Ostrom polynomials

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Finite fields (field-theoretic aspects) (12E20) Translation planes and spreads in linear incidence geometry (51A40)

Related Items (4)

Almost perfect and planar functions ⋮ Solution to An Isotopism Question Concerning Rank 2 Semifields ⋮ On some quadratic APN functions ⋮ The isotopism problem of a class of 6-dimensional rank 2 semifields and its solution

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Translation planes of odd order via Dembowski-Ostrom polynomials
• Linear spaces with flag-transitive automorphism groups
• On the planes of Suetake
• A family of translation planes of order \(q^{2m+1}\) with two orbits of length 2 and \(q^{2m+1}-1\) on \(l_ \infty\)
• The collineation groups of generalized twisted field planes
• A new family of semifields with 2 parameters
• Finite semifields and projective planes
• A generalization of André's systems
• Nearly flag-transitive affine planes
• The Affine Permutation Groups of Rank Three
• Finite Permutation Groups and Finite Simple Groups
• Linear Groups with Orders Having Certain Large Prime Divisors
• Permutation polynomials and translation planes of even order
• Endliche Gruppen I

This page was built for publication: More translation planes and semifields from Dembowski-Ostrom polynomials