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

Authors:
Thomas Honold;Ivan Landjev
Affiliations:
Zentrum Mathematik (M11), Technische Universität München, Boltzmannstr. 3, D-85748 Garching, Germany;Institute of Mathematics and Informatics, BAS, 8 Acad. G. Bonchev str., 1113, Sofia, Bulgaria
Venue:
Finite Fields and Their Applications
Year:
2005

On arcs in projective Hjelmslev planes

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In this paper, we prove that maximal (k,2)-arcs in projective Hjelmslev planes over chain rings R of nilpotency index 2 exist if and only if charR=4.