Arcs in projective Hjelmslev planes

DOI10.1515/DMA.2001.11.1.53zbMath1054.51005OpenAlexW2057945204MaRDI QIDQ4809511

Thomas Honold, Ivan N. Landgev

Publication date: 30 August 2004

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

Full work available at URL: https://doi.org/10.1515/dma.2001.11.1.53

zbMATH Keywords

linear codesarcschain ringsmultisetsHjelmslev 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 (6)

Unnamed Item ⋮ Non-free extensions of the simplex codes over a chain ring with four elements ⋮ The maximal size of 6- and 7-arcs in projective Hjelmslev planes over chain rings of order 9 ⋮ The existence of maximal \((q^2,2)\)-arcs in projective Hjelmslev planes over chain rings of length 2 and odd prime characteristic ⋮ On maximal arcs in projective Hjelmslev planes over chain rings of even characteristic ⋮ A Griesmer bound for linear codes over finite quasi-Frobenius rings

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