PG（2，q）中新的大（n，r）弧

IF 0.4 Q4 MATHEMATICS

Iranian Journal of Mathematical Sciences and Informatics Pub Date : 2022-04-01 DOI:10.52547/ijmsi.17.1.125

R. Daskalov

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引用次数: 0

摘要

.（n，r）-弧是投影平面的n个点的集合，使得一些r，但其中没有r+1，是共线的。PG（2，q）中的（n，r）-弧的最大尺寸用mr（2，q）表示。在本文中，我们在PG（2，17）中提出了一个新的（184，12）-弧，在PG（1，2，19）中提出新的（244，14）-弧和新的（267，15）-弧。

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New Large (n, r)-arcs in PG(2, q)

. An ( n,r )-arc is a set of n points of a projective plane such that some r , but no r +1 of them, are collinear. The maximum size of an ( n,r )-arc in PG(2 ,q ) is denoted by m r (2 ,q ). In this paper we present a new (184 , 12)-arc in PG(2 , 17) , a new (244 , 14)-arc and a new (267 , 15)-arc in PG(2 , 19) .

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来源期刊

Iranian Journal of Mathematical Sciences and Informatics MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量