射影平面PG(2,5)中的最大值(k, n)-弧

Najim Ismaeel
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摘要

本文在射影平面PG (2,5), n = 2,3,…中识别极大(k, n)-弧。,5,其中a (k, n)- arck在投影平面上是k个点的集合,使得没有n + 1个点共线。A (k, n) -arc是极大值,当且仅当投影平面PG (2, P)中的每条线都是o -sec或n-sec,表示为(k, 2)-arc和(k, 6)-arc。如果(k, n)-弧中不包含(k + 1, n)-弧,则A (k, n)-弧是完全弧。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Maximal (k, n)-arc in Projective Plane PG(2, 5)
In this paper we recognize maximal (k, n)-arcs in the projective plane PG (2,5), n = 2, 3, ...,5, where a (k, n)-arc K in a projective plane is a set of K pointssuch that no n + 1 of which are collinear. A (k, n) – arc is a maximal if and only ifevery line in the projective plane PG (2, P) is a O-secant, or n-secant, whichrepresented as ( k, 2 )-arc and (k, 6)-arc. A (k, n)-arc is complete if it is notcontained in a (k + 1, n) – arc.
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