The Construction of (k,3)-Arcs in PG(2,9) by Using Geometrical Method

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Adil Mahmod Amal .SH. Al-Mukhtar Fatema.F. Kareem

Abstract

  In this work, we construct projectively distinct (k,3)-arcs in the projective plane PG(2,9) by applying a geometrical method. The cubic curves have been been constructed by using the general equation of the cubic.         We found that there are complete (13,3)-arcs, complete (15,3)-arcs and we found that the only (16,3)-arcs lead to maximum completeness

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How to Cite
MAHMOD, Adil; AL-MUKHTAR, Amal .SH.; KAREEM, Fatema.F.. The Construction of (k,3)-Arcs in PG(2,9) by Using Geometrical Method. Ibn AL- Haitham Journal For Pure and Applied Science, [S.l.], v. 26, n. 2, p. 239-248, apr. 2017. ISSN 2521-3407. Available at: <http://jih.uobaghdad.edu.iq/index.php/j/article/view/472>. Date accessed: 13 oct. 2019.
Section
mathematics