Classification of Elliptic Cubic Curves Over The Finite Field of Order Nineteen
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Published:2016-12-04
Issue:4
Volume:13
Page:846-852
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ISSN:2411-7986
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Container-title:Baghdad Science Journal
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language:
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Short-container-title:Baghdad Sci.J
Author:
Journal Baghdad Science
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.
Publisher
College of Science for Women
Subject
General Physics and Astronomy,Agricultural and Biological Sciences (miscellaneous),General Biochemistry, Genetics and Molecular Biology,General Mathematics,General Chemistry,General Computer Science
Cited by
1 articles.
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