Cubic arcs in the projective plane over a finite field of order 16

  • Najm A. M. AL-Seraji Department of Mathematics, College of Science, University of Mstansiriyah, Baghdad, Iraq
  • Hamza L. M. Ajaj Department of Mathematics, College of Science, University of Mstansiriyah, Baghdad, Iraq
Keywords: stabilizer groups, arcs, cubic curves

Abstract

The main aims purpose of this study is to find the stabilizer groups of a cubic curves over a finite field of order 16, also studying the properties of their groups, and then constructing all different cubic curves, and known which one of them is complete or not. The arcs of degree 2 which are embedding into a cubic curves of even size have been constructed.  

Published
2018-08-30
How to Cite
AL-Seraji, N. A. M., & Ajaj, H. L. M. (2018). Cubic arcs in the projective plane over a finite field of order 16. Iraqi Journal of Science, 59(3B), 1453-1479. Retrieved from https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/455
Section
Mathematics

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