On maximal arcs in projective Hjelmslev planes over chain rings of even characteristic

DOI10.1016/j.ffa.2004.12.004zbMath1069.51003OpenAlexW1964620721MaRDI QIDQ1779331

Thomas Honold, Ivan N. Landgev

Publication date: 1 June 2005

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2004.12.004

zbMATH Keywords

linear codesmaximal arcshyperovalsfinite Hjelmslev projective planes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Finite affine and projective planes (geometric aspects) (51E15) Blocking sets, ovals, (k)-arcs (51E21) Ring geometry (Hjelmslev, Barbilian, etc.) (51C05)

Related Items (7)

On the lifted Zetterberg code ⋮ Non-free extensions of the simplex codes over a chain ring with four elements ⋮ On homogeneous arcs and linear codes over finite chain rings ⋮ The maximal size of 6- and 7-arcs in projective Hjelmslev planes over chain rings of order 9 ⋮ Arcs in \(\mathbb Z^2_{2p}\) ⋮ The existence of maximal \((q^2,2)\)-arcs in projective Hjelmslev planes over chain rings of length 2 and odd prime characteristic ⋮ Ovals in \({\mathbb{Z}}^2_{2p} \)

Cites Work

• Hjelmslev-Räume. (Hjelmslev spaces)
• Dual numbers, Witt vectors, and Hjelmslev planes
• An upper bound for the extended Kloosterman sums over Galois rings
• Linear codes over finite chain rings
• Linearly representable codes over chain rings
• Hjelmslev-Ebenen mit verfeinerten Nachbarschaftsrelationen
• Finite chain rings
• Kerdock code in a cyclic form
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• FINITE PRINCIPAL IDEAL RINGS
• Arcs in projective Hjelmslev planes
• On n-uniform Hjelmslev planes
• On arcs in projective Hjelmslev planes
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