Projective polynomials, a projection construction and a family of semifields

DOI10.1007/s10623-015-0044-zzbMath1338.12008OpenAlexW2080756360MaRDI QIDQ264141

Juergen Bierbrauer

Publication date: 5 April 2016

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

Full work available at URL: https://doi.org/10.1007/s10623-015-0044-z

zbMATH Keywords

projective planesnucleussemifieldsisotopyprojective polynomialstranslation planes

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Semifields (12K10) Translation planes and spreads in linear incidence geometry (51A40) Arithmetic codes (94B40)

Related Items (6)

A family of semifields in odd characteristic ⋮ Counting the number of non-isotopic Taniguchi semifields ⋮ Almost perfect and planar functions ⋮ A family of semifields in characteristic 2 ⋮ On some quadratic APN functions ⋮ An exponential bound on the number of non-isotopic commutative semifields

Cites Work

• Unnamed Item
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• On \(x^{q+1}+ax+b\)
• New commutative semifields defined by new PN multinomials
• Commutative semifields from projection mappings
• On isotopisms and strong isotopisms of commutative presemifields
• Finite semifields and projective planes
• A family of semifields in odd characteristic
• Generalized twisted fields
• Polarities in translation planes
• Seminuclear Extensions of Galois Fields
• Classes of Quadratic APN Trinomials and Hexanomials and Related Structures

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