The classification of the largest caps in AG(5, 3)

DOI10.1006/jcta.2002.3261zbMath1023.51007OpenAlexW2088269690MaRDI QIDQ1865373

Yves Edel, Sandy Ferret, Ivan N. Landgev, Storme, L.

Publication date: 26 March 2003

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f19afaaa6dcf640291ebe75365fd09b294fa6439

zbMATH Keywords

capsprojective spaces

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Blocking sets, ovals, (k)-arcs (51E21)

Related Items (22)

Existence conditions for k- barycentric Olson constant ⋮ Bounds on affine caps ⋮ Unnamed Item ⋮ Bounds on the size of progression-free sets in \(\mathbb{Z}_m^n\) ⋮ An asymptotically tight bound for the Davenport constant ⋮ New applications of the polynomial method: The cap set conjecture and beyond ⋮ A variant of Kemnitz conjecture ⋮ The Main Zero-Sum Constants over \({\boldsymbol{D}}\) _2n \({\boldsymbol{\times C_2}}\) ⋮ The card game SET. ⋮ The catenary degree of Krull monoids. I ⋮ Partitions of \(\mathrm{AG}(4, 3)\) into maximal caps ⋮ The cap set problem and standard diagrams ⋮ Occurrence of right angles in vector spaces over finite fields ⋮ Caps and progression-free sets in \(\mathbb{Z}_m^n\) ⋮ On the Erdős-Ginzburg-Ziv constant of finite abelian groups of high rank ⋮ Two zero-sum invariants on finite abelian groups ⋮ Maximal caps in \(\mathrm{AG}(6,3)\). ⋮ Sequences in abelian groups \(G\) of odd order without zero-sum subsequences of length \(\exp(G)\) ⋮ Bounds on sizes of generalized caps in \(\mathrm{AG} (n,q)\) via the Croot-Lev-Pach polynomial method ⋮ Sidon sets and 2-caps in \(\mathbb{F}_3^n\) ⋮ Improved Bounds on Sizes of Generalized Caps in $AG(n,q)$ ⋮ Demicaps in \(\mathrm{AG}(4,3)\) and maximal cap partitions

Cites Work

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• Classification of some optimal ternary linear codes of small length
• Le geometrie di Galois
• Codes and projective multisets
• Ovoides et groupes de Suzuki
• Caps and codes
• 41 is the largest size of a cap in \(PG(4, 4)\)
• Caps and colouring Steiner triple systems
• On subsets of finite Abelian groups with no 3-term arithmetic progressions
• Linear codes over finite chain rings
• On complete caps in the projective geometries over \(\mathbb F_3\)
• Bounds on affine caps
• Ovals In a Finite Projective Plane

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