An Algorithm for Constructing Hjelmslev Planes

DOI10.1007/978-3-319-17729-8_11zbMath1329.51002arXiv1302.4502OpenAlexW3099986201MaRDI QIDQ3466754

Joanne L. Hall, A. Baliga

Publication date: 25 January 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.4502

zbMATH Keywords

algorithmaffine Hjelmslev planes2-uniform projective Hjelmslev planesprojective Hjemslev planes

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Ring geometry (Hjelmslev, Barbilian, etc.) (51C05)

Cites Work

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• Finite Hjelmslev planes
• Construction of Hjelmslev planes from \((t,k)\)-nets
• On the extension of projectively uniform affine Hjelmslev planes
• Non-free extensions of the simplex codes over a chain ring with four elements
• New ring-linear codes from dualization in projective Hjelmslev geometries
• The existence of maximal \((q^2,2)\)-arcs in projective Hjelmslev planes over chain rings of length 2 and odd prime characteristic
• 2-arcs of maximal size in the affine and the projective Hjelmslev plane over \(\mathbb Z_{25}\)
• Nonexistence results for finite Hjelmslev planes
• Projektive und affine Ebenen mit Nachbarelementen
• Hjelmslev geometry of mutually unbiased bases
• Extension Of Finite Projective Planes I. Uniform Hjelmslev Planes
• On n-uniform Hjelmslev planes
• On arcs in projective Hjelmslev planes

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