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The smallest 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 3749-3764 اصل مقاله (438.13 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6151 | ||
| نویسندگان | ||
| Najm Abdulzahra Makhrib Al-Seraji* ؛ Dunia Alawi Jarwan | ||
| Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq | ||
| تاریخ دریافت: 20 خرداد 1400، تاریخ بازنگری: 02 مهر 1400، تاریخ پذیرش: 19 مهر 1400 | ||
| چکیده | ||
| An $(n;3)$-arc in projective plane $PG(2,q)$ of size n and degree three is a set of n points such that no four of them collinear but some three of them are collinear.An $(n;r)$-arc is said to be complete if it is not contained in $(n+1;r)$-arc. The aim of this paper is to construct the projectively distinct$(n;3)$-arcs in $PG(2,16)$, determined the smallest complete arc in $PG(2,16)$ then the stabilizer group of these arcs are established and we have identified the group with which it's isomorphic. | ||
| کلیدواژهها | ||
| Projective Plane؛ Complete Arc | ||
| مراجع | ||
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