\(\mathbb F_q\)-pseudoreguli of PG\((3,q^{3})\) and scattered semifields of order \(q^{6}\)

DOI10.1016/j.ffa.2010.12.001zbMath1216.51004OpenAlexW1964535267MaRDI QIDQ539897

Olga Polverino, Michel Lavrauw, Rocco Trombetti, Giuseppe Marino

Publication date: 31 May 2011

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2010.12.001

zbMATH Keywords

semifieldpseudoregulusscattered linear set

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20) Semifields (12K10)

Related Items (12)

50 years of translation structures ⋮ Investigating the exceptionality of scattered polynomials ⋮ On translation spreads of \(H(q)\) ⋮ Maximum scattered linear sets and MRD-codes ⋮ Segre embeddings and finite semifields ⋮ On the supercompactness of ultrafilter space with the topology of Wallman type ⋮ A new family of MRD-codes ⋮ Maximum scattered linear sets of pseudoregulus type and the Segre variety \(\mathcal{S}_{n,n}\) ⋮ On embeddings of minimum dimension of \(\mathrm{PG}(n,q)\times \mathrm{PG}(n,q)\) ⋮ Solution to An Isotopism Question Concerning Rank 2 Semifields ⋮ Maximum scattered linear sets and complete caps in Galois spaces ⋮ The isotopism problem of a class of 6-dimensional rank 2 semifields and its solution

Uses Software

• Magma

Cites Work

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• Towards the classification of rank 2 semifields 6-dimensional over their center
• Translation dual of a semifield
• On semi-fields of type \((q^{2n},q^n,q^2,q)\), \(n\) odd
• The Magma algebra system. I: The user language
• Translation ovoids
• Classification of semifields of order 64
• On \(\mathbb F_q\)-linear sets of \(\text{PG}(3,q^{3})\) and semifields
• Simplectic spreads and finite semifields
• Semifield planes of order \(q^4\) with kernel \(\mathbb F_{q^2}\) and center \(\mathbb F_q\)
• Transposed Translation Planes

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