A Geometric Construction of a (56,2)-Blocking Set in PG(2,19) and on Three Dimensional Linear [325,3,307]_19Griesmer Code

Abstract

In this paper we give a geometrical construction of a ( 56, 2)-blocking set in PG( 2, 19) and We obtain a new (325,18)- arc and a new linear code and apply the Grismer rule so that we prove it an optimal or non-optimal code, giving some examples of field 19 arcs Theorem (2.1).