Keywords : Bounded Griesmer

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

Nada Kasm Yahya; Zyiad Adrees Hamad Youines

AL-Rafidain Journal of Computer Sciences and Mathematics, 2019, Volume 13, Issue 2, Pages 13-25
DOI: 10.33899/csmj.2020.163511

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).