Commutative semifields from projection mappings
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Publication:717151
DOI10.1007/s10623-010-9447-zzbMath1241.12004OpenAlexW2092278151MaRDI QIDQ717151
Publication date: 27 September 2011
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-010-9447-z
tracepolarizationnucleussemifieldsisotopyDembowski-Ostrom polynomialplanar functionssymplectic semifieldspresemifields
Finite affine and projective planes (geometric aspects) (51E15) Semifields (12K10) Translation planes and spreads in linear incidence geometry (51A40)
Related Items (12)
Projective polynomials, a projection construction and a family of semifields ⋮ Quasi-perfect linear codes from planar and APN functions ⋮ Constructing commutative semifields of square order ⋮ On the isotopism classes of the Budaghyan-Helleseth commutative semifields ⋮ A new family of semifields with 2 parameters ⋮ Projective planes of Lenz-Barlotti class V. ⋮ Almost perfect and planar functions ⋮ Another class of perfect nonlinear polynomial functions ⋮ On symplectic semifield spreads of \(\mathrm{PG}(5,q^{2})\), \(q\) odd ⋮ A family of semifields in characteristic 2 ⋮ On isotopisms and strong isotopisms of commutative presemifields ⋮ MUBs inequivalence and affine planes
Cites Work
- Symplectic semifield spreads of \(\mathrm{PG}(5,q)\) and the Veronese surface
- New commutative semifields defined by new PN multinomials
- Perfect nonlinear binomials and their semifields
- The six semifield planes associated with a semifield flock
- New semifields, PN and APN functions
- Planar polynomials for commutative semifields with specified nuclei
- Commutative presemifields and semifields
- Planes of order \(n\) with collineation groups of order \(n^ 2\)
- New Perfect Nonlinear Multinomials over F $_{p^{2k}}$ for Any Odd Prime p
- New Commutative Semifields and Their Nuclei
- On Nonassociative Division Algebras
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