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The largest size of the arc of degree three in a projective plane of order sixteen | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 13، شماره 1، خرداد 2022، صفحه 3897-3916 اصل مقاله (445.54 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6190 | ||
| نویسندگان | ||
| Najm Abdulzahra Makhrib Al-Seraji* ؛ Dunia Alawi Jarwan | ||
| Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq | ||
| تاریخ دریافت: 23 تیر 1400، تاریخ بازنگری: 11 شهریور 1400، تاریخ پذیرش: 25 مهر 1400 | ||
| چکیده | ||
| An $(n;3)$-arc $ K $ in projective plane $ PG(2,q) $ of size n and degree three is a set of $ n $ points satisfies that every line meets it in less than or equal three points, also it is complete if it is not contained in $ (n+1;3) $-arc. The goals of this paper are to construct the projectively inequivalent $(n;3) $-arcs in $ PG(2,16) $, determined the largest complete arc in $ PG(2,16) $, the stabilizer group of these arcs and we have identified the group with which its isomorph. | ||
| کلیدواژهها | ||
| Projective Plane؛ Complete Arc | ||
| مراجع | ||
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