New \((n, r)\)-arcs in \(\mathrm{PG}(2, 17)\), \(\mathrm{PG}(2, 19)\), and \(\mathrm{PG}(2, 23)\)

DOI10.1134/S003294601103001XzbMath1254.51004OpenAlexW2467369624MaRDI QIDQ764397

Rumen N. Daskalov, Elena Metodieva

Publication date: 13 March 2012

Published in: Problems of Information Transmission (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s003294601103001x

zbMATH Keywords

blocking set\((n,r)\)-arcGriesmer code

Mathematics Subject Classification ID

Other designs, configurations (05B30) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Blocking sets, ovals, (k)-arcs (51E21) Combinatorial structures in finite projective spaces (51E20)

Related Items (8)

Unnamed Item ⋮ Unnamed Item ⋮ A new \((37, 3)\)-arc in \(\mathrm{PG}(2,23)\) ⋮ Improved lower bounds on \(m_r(2,29)\) ⋮ Some new \((n, r)\)-arcs in \(\mathrm{PG}(2, 31)\) ⋮ Improved bounds on \(m_r(2,q)q=19,25,27\) ⋮ Bounds for Arcs of Arbitrary Degree in Finite Desarguesian Planes ⋮ New \((n, r)\)-arcs in \(\mathrm{PG}(2, 17)\), \(\mathrm{PG}(2, 19)\), and \(\mathrm{PG}(2, 23)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New \((n, r)\)-arcs in \(\mathrm{PG}(2, 17)\), \(\mathrm{PG}(2, 19)\), and \(\mathrm{PG}(2, 23)\)
• On the maximum size of some \((k,r)\)-arcs in PG\((2,q)\)
• Construction of \((n, r)\)-arcs in \(PG(2, q)\)
• Bounds on \((n,r)\)-arcs and their application to linear codes
• Multiple Blocking Sets and Arcs in Finite Planes

This page was built for publication: New \((n, r)\)-arcs in \(\mathrm{PG}(2, 17)\), \(\mathrm{PG}(2, 19)\), and \(\mathrm{PG}(2, 23)\)