The largest size of the arc of degree three in a projective plane of order sixteen

	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
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

آمار تعداد مشاهده مقاله: 16,103 تعداد دریافت فایل اصل مقاله: 9,536

پیوندهای مفید

آمار