A new hyperoval in \(PG(2,32)\)

DOI10.1007/BF01228288zbMath0757.51009WikidataQ29395153 ScholiaQ29395153MaRDI QIDQ1198226

Christine M. O'Keefe, Tim Penttila

Publication date: 16 January 1993

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

automorphism groupshyperovalsDesarguesian plane of order 32

Mathematics Subject Classification ID

Blocking sets, ovals, (k)-arcs (51E21) Incidence structures embeddable into projective geometries (51A45) Configuration theorems in linear incidence geometry (51A20)

Related Items (13)

On hyperovals in small projective planes ⋮ Some new two-weight ternary and quinary codes of lengths six and twelve ⋮ Relation between o-equivalence and EA-equivalence for Niho bent functions ⋮ Hyperovals in Desarguesian planes: An update ⋮ Classification of the hyperovals in \(\mathrm{PG}(2,64)\) ⋮ Construction of BLT-sets over small fields. ⋮ Equivalence classes of Niho bent functions ⋮ On permutation polynomials over finite fields of characteristic 2 ⋮ On the spectrum of the values \(k\) for which a complete \(k\)-cap in \(PG(n,q)\) exists ⋮ Collineation groups of ovals and of ovoidal Laguerre planes ⋮ The packing problem in statistics, coding theory and finite projective spaces ⋮ Cyclic arcs in \(\mathrm{PG}(2,q)\) ⋮ New maximal arcs in Desarguesian planes

Cites Work

• A condition for the existence of ovals in PG(2,q), q even
• Ovali ed altre curve nei piani di Galois di caratteristica due
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