Complete arcs in \(PG(2,25)\): The spectrum of the sizes and the classification of the smallest complete arcs

DOI10.1016/j.disc.2005.11.094zbMath1114.51005arXiv1005.3412OpenAlexW1985188998MaRDI QIDQ868334

Alfredo Milani, Stefano Marcugini, Fernanda Pambianco

Publication date: 2 March 2007

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.3412

zbMATH Keywords

projective planesarcscomplete arcs

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Linear codes and caps in Galois spaces (51E22) Blocking sets, ovals, (k)-arcs (51E21)

Related Items (11)

Upper bounds on the smallest size of a complete arc in a finite Desarguesian projective plane based on computer search ⋮ On Small Complete Arcs and Transitive A5-Invariant Arcs in the Projective Plane PG(2,q) ⋮ On the Structure of Semiovals of Small Size ⋮ On the minimum size of complete arcs and minimal saturating sets in projective planes ⋮ A new lower bound for the smallest complete \((k,n)\)-arc in \(\mathrm{PG}(2,q)\) ⋮ The non-existence of some NMDS codes and the extremal sizes of complete \((n,3)\)-arcs in \(\mathrm{PG}(2,16)\) ⋮ A full classification of the complete k‐arcs of PG(2,23) and PG(2,25) ⋮ Types of superregular matrices and the number of n‐arcs and complete n‐arcs in PG (r, q) ⋮ On the maximality of linear codes ⋮ 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

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