Cubic Curves Over the Finite Field of Order Twenty-Five
| Autor: | S. H. Naji, E. B. Al-Zangana |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Journal of Physics: Conference Series. 1818:012079 |
| ISSN: | 1742-6596 1742-6588 |
| DOI: | 10.1088/1742-6596/1818/1/012079 |
| Popis: | An arc of degree three is a set of points in projective plane no four of which are collinear but some three are collinear, and a cubic curve is a non-singular projective plane cubic curve. There are cubic curves formed an arc of degree three over a finite field. The aims of this paper are to give the inequivalent cubic curves forms over the finite field of order twenty-five according to its inflexion points, and the incomplete curves have been extended to complete arcs of degree three. As a conclusion over F 25, the largest arc size of degree three constructed from the points of cubic curves is 36; that is, 36≤ m r (2,25) ≤51. |
| Databáze: | OpenAIRE |
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