On intriguing sets of finite symplectic spaces

DOI10.1007/s10623-017-0387-8zbMath1478.51002OpenAlexW2734315477MaRDI QIDQ1744024

Antonio Cossidente, Francesco Pavese

Publication date: 16 April 2018

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

Full work available at URL: https://doi.org/10.1007/s10623-017-0387-8

zbMATH Keywords

tight setsymplectic polar space\(m\)-ovoids

Mathematics Subject Classification ID

Generalized quadrangles and generalized polygons in finite geometry (51E12) Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items (8)

Packings of partial difference sets ⋮ Cyclic arcs of Singer type and strongly regular Cayley graphs over finite fields ⋮ On intriguing sets in five classes of strongly regular graphs ⋮ Unnamed Item ⋮ An infinite family of \(m\)-ovoids of \(Q(4,q)\) ⋮ On line covers of finite projective and polar spaces ⋮ On \(m\)-ovoids of symplectic polar spaces ⋮ The \(m\)-ovoids of \(\mathcal{W}(5, 2)\) and their generalizations

Cites Work

• Unnamed Item
• Unnamed Item
• Intriguing sets of \(\mathcal{W}(5,q)\), \(q\) even
• Geometric constructions of two-character sets
• On the geometry of unitary involutions
• On the intersection of ovoids sharing a polarity
• Tight sets, weighted \(m\)-covers, weighted \(m\)-ovoids, and minihypers
• Intersections in projective space. I: Combinatorics
• Spreads and classes of maximal subgroups of \(GL_ n(q), SL_ n(q),PGL_ n(q)\) and \(PSL_ n(q)\)
• Partitions and their stabilizers for line complexes and quadrics
• Proper 2-covers of \(PG (3,q)\), \(q\) even
• Tight sets in finite classical polar spaces
• Subspace codes in \(\operatorname{PG}(2N-1; q)\)
• Ovoids in \(\text{PG}(3,q)\): A survey
• Constructions of intriguing sets of polar spaces from field reduction and derivation
• Tight sets and \(m\)-ovoids of finite polar spaces
• Teoria di Galois, fibrazioni proiettive e geometrie non desarguesiane
• On \(m\)-ovoids of \({\mathcal W}_3 (q)\)
• Forme e geometrie hermitiane, con particolare riguardo al caso finito
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• Projective Geometries that are Disjoint Unions of Caps
• On complete caps and ovaloids in three-dimensional Galois spaces of characteristic two
• Partitioning Projective Geometries into Caps
• On Kestenband-Ebert partitions

This page was built for publication: On intriguing sets of finite symplectic spaces