scientific article; zbMATH DE number 7541068

zbMath1491.51010MaRDI QIDQ5866268

Rumen N. Daskalov

Publication date: 13 June 2022

Full work available at URL: http://ijmsi.ir/article-1-1360-en.html

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zbMATH Keywords

linear codesfinite projective plane\((l, t)\)-blocking set in a projective plane\((n, r)\)-arc in a projective planemaximum size of an \((n, r)\)-arc

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Bounds on codes (94B65) Linear codes and caps in Galois spaces (51E22) Blocking sets, ovals, (k)-arcs (51E21)

Cites Work

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• New \((n, r)\)-arcs in \(\mathrm{PG}(2, 17)\), \(\mathrm{PG}(2, 19)\), and \(\mathrm{PG}(2, 23)\)
• Improved lower bounds on \(m_r(2,29)\)
• Some new \((n, r)\)-arcs in \(\mathrm{PG}(2, 31)\)
• New \((k;r)\)-arcs in the projective plane of order thirteen
• Improved bounds on \(m_r(2,q)q=19,25,27\)
• 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
• Algebraically punctured cyclic codes
• A Bound for Error-Correcting Codes

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