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:
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.