A new \((37, 3)\)-arc in \(\mathrm{PG}(2,23)\)

DOI10.1016/j.endm.2017.02.017zbMath1430.51014OpenAlexW2595584341MaRDI QIDQ1743287

Mladen Manev, Rumen N. Daskalov

Publication date: 13 April 2018

Full work available at URL: https://doi.org/10.1016/j.endm.2017.02.017

zbMATH Keywords

quasi-cyclic codesfinite projective plane(n, r)-arcs

Mathematics Subject Classification ID

Other designs, configurations (05B30) Blocking sets, ovals, (k)-arcs (51E21) Combinatorial structures in finite projective spaces (51E20) Cyclic codes (94B15)

Cites Work

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• New \((n, r)\)-arcs in \(\mathrm{PG}(2, 17)\), \(\mathrm{PG}(2, 19)\), and \(\mathrm{PG}(2, 23)\)
• Quasi-cyclic codes over \(\mathbb F_{13}\) and enumeration of defining polynomials
• Improved bounds on \(m_r(2,q)q=19,25,27\)
• Construction of \((n, r)\)-arcs in \(PG(2, q)\)
• Bounds on \((n,r)\)-arcs and their application to linear codes

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