Infinite families of new semifields
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Publication:624210
DOI10.1007/S00493-009-2406-5zbMath1224.12010OpenAlexW1965681097MaRDI QIDQ624210
Rocco Trombetti, Giuseppe Marino, Olga Polverino, Gary L. Ebert
Publication date: 8 February 2011
Published in: Combinatorica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00493-009-2406-5
Finite affine and projective planes (geometric aspects) (51E15) Semifields (12K10) Translation planes and spreads in linear incidence geometry (51A40)
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Cites Work
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- 8 semifield planes of order \(8^ 2\)
- On the multiplication of some semifields of order \(q^6\)
- On a generalization of cyclic semifields
- Translation ovoids
- Commutative semifields and symplectic spreads.
- On \(\mathbb F_q\)-linear sets of \(\text{PG}(3,q^{3})\) and semifields
- Simplectic spreads and finite semifields
- Finite semifields and projective planes
- Semifields of order \(q^6\) with left nucleus \(\mathbb F_{q^3}\) and center \(\mathbb F_q\)
- Semifield planes of order \(q^4\) with kernel \(\mathbb F_{q^2}\) and center \(\mathbb F_q\)
- Linear representations of projective planes in projective spaces
- The construction of translation planes from projective spaces
- Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
- A Class of Projective Planes
- Perfect Baer subplane partition and three-dimensional flag-transitive planes
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