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A Geometric Construction of a (56,2)-Blocking Set in PG(2,19) and on Three Dimensional Linear [325,3,307]_19Griesmer Code | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 1, Volume 13, Issue 2, 2019, Pages 13-25 PDF (526.74 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2020.163511 | ||
| Authors | ||
| Nada Kasm Yahya1; Zyiad Adrees Hamad Youines2 | ||
| 1Department of Mathematics College of Education for Pure Science University of Mosul, Mosul, Iraq | ||
| 2Department of Mathematics College of Computer Science and Mathematics, University of Mosul Mosul, Iraq | ||
| 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). | ||
| Keywords | ||
| Arc; Bounded Griesmer; double Blocking set; projection code. Projective Plane; Optimal Linear code | ||
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