Classification of Elliptic Cubic Curves Over The Finite Field of Order Nineteen | ||
| Baghdad Science Journal | ||
| Article 1, Volume 13, Issue 4, December 2016, Pages 846-852 | ||
| Author | ||
| Emad Bakr Al-Zangana | ||
| Abstract | ||
| Plane cubics curves may be classified up to isomorphism or projective equivalence. In this paper, the inequivalent elliptic cubic curves which are non-singular plane cubic curves have been classified projectively over the finite field of order nineteen, and determined if they are complete or incomplete as arcs of degree three. Also, the maximum size of a complete elliptic curve that can be constructed from each incomplete elliptic curve are given. | ||
| Keywords | ||
| Finite geometry; coding theory; Elliptic cubic curve; Arc; Inflexion | ||
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