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arXiv · 1401.4340

$2$-arcs of maximal size in the affine and the projective Hjelmslev plane over $\mathbb{Z}_{25}$

Michael Kiermaier·Matthias Koch·Sascha Kurz
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Abstract

It is shown that the maximal size of a $2$-arc in the projective Hjelmslev plane over $\mathbb{Z}_{25}$ is $21$, and the $(21,2)$-arc is unique up to isomorphism. Furthermore, all maximal $(20,2)$-arcs in the affine Hjelmslev plane over $\mathbb{Z}_{25}$ are classified up to isomorphism.

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Michael Kiermaier, Matthias Koch, Sascha Kurz. 2014-01-17. $2$-arcs of maximal size in the affine and the projective Hjelmslev plane over $\mathbb{Z}_{25}$. https://doi.org/10.3934/amc.2011.5.287

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