Tight sets, weighted \(m\)-covers, weighted \(m\)-ovoids, and minihypers

DOI10.1007/S10623-008-9223-5zbMath1246.51006OpenAlexW2064374428MaRDI QIDQ1009106

Patrick Govaerts, Anja Hallez, Jan De Beule, Storme, L.

Publication date: 31 March 2009

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

Full work available at URL: https://doi.org/10.1007/s10623-008-9223-5

Mathematics Subject Classification ID

Generalized quadrangles and generalized polygons in finite geometry (51E12) Linear codes and caps in Galois spaces (51E22) Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20)

Related Items (10)

The Use of Blocking Sets in Galois Geometries and in Related Research Areas ⋮ On tight sets of hyperbolic quadrics ⋮ Tight sets in finite classical polar spaces ⋮ Small tight sets of hyperbolic quadrics ⋮ Unnamed Item ⋮ On the smallest non-trivial tight sets in Hermitian polar spaces \(H(d, q^2)\), \(d\) even ⋮ On intriguing sets of finite symplectic spaces ⋮ Small tight sets in finite elliptic, parabolic and Hermitian polar spaces ⋮ Cameron-Liebler sets of generators in finite classical polar spaces ⋮ A new family of tight sets in \(\mathcal Q^+(5,q)\)

Uses Software

• GAP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A \(t\pmod p\) result on weighted multiple \((n-k)\)-blocking sets in \(\mathrm{PG}(n,q)\)
• The completion problem for partial packings
• On a geometrical method of construction of maximal t-linearly independent sets
• On the size of a blocking set in \(\text{PG}(2,p)\)
• Small minimal blocking sets in \(\text{PG}(2,q^3)\)
• Proper 2-covers of \(PG (3,q)\), \(q\) even
• Small blocking sets in \(PG(2,p^3)\)
• On a particular class of minihypers and its applications. II: Improvements for \(q\) square
• A characterization of some \([n,k,d;q\)-codes meeting the Griesmer bound using a minihyper in a finite projective geometry]
• Small minimal blocking sets and complete \(k\)-arcs in PG\((2,p^3)\)
• Tactical decompositions and orbits of projective groups
• On a particular class of minihypers and its applications. III: Applications
• On a particular class of minihypers and its applications. I: The result for general \(q\)
• Maximal partial spreads of \(T_2(\mathcal O)\) and \(T_3(\mathcal O)\)
• On complete caps in the projective geometries over \(\mathbb F_3\)
• Tight sets and \(m\)-ovoids of finite polar spaces
• A non-existence result on Cameron–Liebler line classes
• A characterization of m-ovoids and i-tight sets of polar spaces
• Algebraically punctured cyclic codes
• Baer subplanes and blocking sets
• A Bound for Error-Correcting Codes
• Small blocking sets in higher dimensions

This page was built for publication: Tight sets, weighted \(m\)-covers, weighted \(m\)-ovoids, and minihypers