Classification of Elliptic Cubic Curves Over The Finite Field of Order Nineteen

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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.

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Classification of Elliptic Cubic Curves Over The Finite Field of Order Nineteen. Baghdad Sci.J [Internet]. 2016 Dec. 4 [cited 2024 Mar. 29];13(4):0846. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2328
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How to Cite

1.
Classification of Elliptic Cubic Curves Over The Finite Field of Order Nineteen. Baghdad Sci.J [Internet]. 2016 Dec. 4 [cited 2024 Mar. 29];13(4):0846. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2328

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