Classification of Elliptic Cubic Curves Over The Finite Field of Order Nineteen
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 incomp...
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| Μορφή: | Άρθρο |
| Γλώσσα: | Αγγλικά |
| Έκδοση: |
University of Baghdad, College of Science for Women
2016-12-01
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| Σειρά: | مجلة بغداد للعلوم |
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| Διαθέσιμο Online: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2328 |
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| Περίληψη: | 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. |
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| ISSN: | 2078-8665 2411-7986 |