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, A., Al-Mukhtar, A. .SH., & Kareem, F. (2017). The Construction of (k,3)-Arcs in PG(2,9) by Using Geometrical Method. Ibn AL- Haitham Journal For Pure and Applied Sciences, 26(2), 239–248. Retrieved from https://jih.uobaghdad.edu.iq/index.php/j/article/view/472
Section
mathematics