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

Section: Research Paper
Issue
Vol. 13 No. 2 (2019): Volume 13 Issue 2
Pages
13-25

Keywords:

Arc, Bounded Griesmer, double Blocking set, projection code. Projective Plane, Optimal Linear 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).

References

Authors

Nada Yassen Kasm Yahya

University of Mosul/College of Education for Pure Science/Department of Mathematics

ORCID
Zyiad Adrees Hamad Youines

Department of Mathematics College of Computer Science and Mathematics, University of Mosul Mosul, Iraq

Identifiers

DOI: 10.33899/csmj.2020.163511

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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. (2019). AL-Rafidain Journal of Computer Sciences and Mathematics, 13(2), 13-25. https://doi.org/10.33899/csmj.2020.163511
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How to Cite

A Geometric Construction of a (56,2)-Blocking Set in PG(2,19) and on Three Dimensional Linear [325,3,307]_19Griesmer Code. (2019). AL-Rafidain Journal of Computer Sciences and Mathematics, 13(2), 13-25. https://doi.org/10.33899/csmj.2020.163511