New complete 2-arcs in the uniform projective Hjelmslev planes over chain rings of order 25
Michael
Kiermaier
;
Matthias
Koch
;
2009,
Sofia,
Bulgarian Academy of Sciences,
ISBN/ISSN/ISMV Nummer:1313-1117
in:
Proceedings of the Sixth International Workshop on Optimal Codes and Related Topics
Doi-Nummer:
Abstract:
In this paper a 2-arc of size 21 in the projective Hjelmslev plane PHG(2,Z_25) and a 2-arc of size 22 in PHG(2,F_5[X]/(X^2)) are given. Both arcs are bigger
than the 2-arcs previously known in the respective plane. Furthermore, we will give some information on the geometrical structure of the arcs.
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