On the spectrum of the values \(k\) for which a complete \(k\)-cap in \(PG(n,q)\) exists
From MaRDI portal
Publication:1266486
DOI10.1007/BF01237602zbMath0917.51016MaRDI QIDQ1266486
Fernanda Pambianco, Giorgio Faina
Publication date: 16 September 1998
Published in: Journal of Geometry (Search for Journal in Brave)
Related Items (23)
Upper bounds on the smallest size of a complete arc in a finite Desarguesian projective plane based on computer search ⋮ New Quantum Caps in PG(4, 4) ⋮ Three questions of Bertram on locally maximal sum-free sets ⋮ Complete arcs in \(PG(2,25)\): The spectrum of the sizes and the classification of the smallest complete arcs ⋮ On the non-trivial minimal blocking sets in binary projective spaces ⋮ Complete arcs and caps in some papers of Giuseppe Tallini and Walking with Giuseppe Tallini along the streets of ``Augusta Perusia ⋮ On saturating sets in projective spaces. ⋮ New upper bounds on the smallest size of a complete arc in a finite Desarguesian projective plane ⋮ On the minimum size of complete arcs and minimal saturating sets in projective planes ⋮ On sizes of complete arcs in \(PG(2,q)\) ⋮ On complete caps in the projective geometries over \(\mathbb F_3\) ⋮ A full classification of the complete k‐arcs of PG(2,23) and PG(2,25) ⋮ A family of complete caps in \(\mathbf{PG}(n,2)\) ⋮ Minimal 1-saturating sets and complete caps in binary projective spaces. ⋮ Generating abelian groups by addition only ⋮ Complete \((q^2+q+8)/2\)-caps in the spaces \(\mathrm{PG}(3,q)\), \(q\equiv 2 \pmod 3\) an odd prime, and a complete 20-cap in \(\mathrm{PG}(3,5)\) ⋮ The complete k-arcs of PG(2, 27) and PG(2, 29) ⋮ On sizes of complete caps in projective spaces \(\mathrm{PG}(n, q)\) and arcs in planes \(\mathrm{PG}(2, q)\) ⋮ Computer search for small complete caps ⋮ Constructions of small complete caps in binary projective spaces ⋮ New types of estimates for the smallest size of complete arcs in a finite Desarguesian projective plane ⋮ Upper bounds on the smallest size of a complete arc in \(\mathrm{PG}(2, {q})\) under a certain probabilistic conjecture ⋮ How long does it take to generate a group?
Cites Work
- Curve razionali normali e \(k\)-archi negli spazi finiti
- Le geometrie di Galois
- New examples of complete k-arcs in PG(2,q)
- Ovoids of PG(3,16) are elliptic quadrics
- On the sharpness of a theorem of B. Segre
- Ovoides et groupes de Suzuki
- Unital intersections in finite projective planes
- Orbits of arcs in PG\((N,K)\) under projectivities
- A new hyperoval in \(PG(2,32)\)
- Ovoids of \(PG(3,16)\) are elliptic quadratics. II
- Caps in \(\mathrm{PG}(n,q)\), \(q\) even, \(n\ge 3\)
- Caps and codes
- Complete arcs containing \((q+1)/2\) points of a conic in Galois fields of odd order
- On the size of a blocking set in \(\text{PG}(2,p)\)
- Classification of ovoids in \(PG(3,32)\)
- Linear independence in finite spaces
- Linear codes with covering radius 2 and other new covering codes
- On complete caps and ovaloids in three-dimensional Galois spaces of characteristic two
- A family of complete arcs in finite projective planes
- Sur Les K-Arcs Complets Des Plans De Galois D'Ordre Impair
- Ovoids and Translation Ovals
- Complete Arcs in PG(2, q), q Even
- On Pellegrino's 20-Caps in S4, 3
- A Theorem in Finite Projective Geometry and an Application to Statistics
- Ovals In a Finite Projective Plane
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On the spectrum of the values \(k\) for which a complete \(k\)-cap in \(PG(n,q)\) exists
