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arXiv · 2409.02099

New Results on Arcs in Projective Hjelmslev Planes over Small Chain Rings

Thomas Honold·Michael Kiermaier·Ivan Landjev
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Abstract

We present various new constructions and bounds for arcs in projective Hjelmslev planes over finite chain rings of nilpotency index 2. For the chain rings of cardinality at most 25 we give updated tables with the best known upper and lower bounds for the maximum size of such arcs.

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Thomas Honold, Michael Kiermaier, Ivan Landjev. 2024-09-03. New Results on Arcs in Projective Hjelmslev Planes over Small Chain Rings. https://arxiv.org/abs/2409.02099

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