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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| Language: | English |
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University of Baghdad, College of Science for Women
2016-12-01
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| Series: | مجلة بغداد للعلوم |
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| Online Access: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2328 |
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| author | Baghdad Science Journal |
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| description | 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. |
| format | Article |
| id | doaj-art-0d30c847cf4e4101abeb3f3bef0b511e |
| institution | DOAJ |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2016-12-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-0d30c847cf4e4101abeb3f3bef0b511e2025-08-20T02:54:58ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862016-12-0113410.21123/bsj.13.4.846-852Classification of Elliptic Cubic Curves Over The Finite Field of Order NineteenBaghdad Science JournalPlane 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.http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2328"Finite geometry, Coding Theory, Elliptic cubic curve, Arc, Inflexion" |
| spellingShingle | Baghdad Science Journal Classification of Elliptic Cubic Curves Over The Finite Field of Order Nineteen مجلة بغداد للعلوم "Finite geometry, Coding Theory, Elliptic cubic curve, Arc, Inflexion" |
| title | Classification of Elliptic Cubic Curves Over The Finite Field of Order Nineteen |
| title_full | Classification of Elliptic Cubic Curves Over The Finite Field of Order Nineteen |
| title_fullStr | Classification of Elliptic Cubic Curves Over The Finite Field of Order Nineteen |
| title_full_unstemmed | Classification of Elliptic Cubic Curves Over The Finite Field of Order Nineteen |
| title_short | Classification of Elliptic Cubic Curves Over The Finite Field of Order Nineteen |
| title_sort | classification of elliptic cubic curves over the finite field of order nineteen |
| topic | "Finite geometry, Coding Theory, Elliptic cubic curve, Arc, Inflexion" |
| url | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2328 |
| work_keys_str_mv | AT baghdadsciencejournal classificationofellipticcubiccurvesoverthefinitefieldofordernineteen |