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   the smallest size of the arc of degree three in a projective plane of order sixteen  
   
نویسنده al-seraji najm abdulzahra makhrib ,jarwan dunia alawi
منبع international journal of nonlinear analysis and applications - 2022 - دوره : 13 - شماره : 1 - صفحه:3749 -3764
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 p g(2, 16), determined the smallest complete arc in p g(2, 16) then the stabilizer group of these arcs are established and we have identified the group with which its isomorphic.
کلیدواژه projective plane ,complete arc
آدرس mustansiriyah university, college of science, department of mathematics, iraq, mustansiriyah university, college of science, department of mathematics, iraq
پست الکترونیکی dunia-jar8880@yahoo.com
 
     
   
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