%0 Journal Article %T Maximal (k, n)-arc in Projective Plane PG(2, 5) %J Journal of Garmian University %I زانکۆی گەرمیان %Z 23100087 %A Ismaee, Najim A %D 2017 %\ 07/01/2017 %V 4 %N ICBS Conference %P 113-121 %! Maximal (k, n)-arc in Projective Plane PG(2, 5) %K projective plane PG (2 %K conics of PG (2 %K 5) %K maximal and complete (k %K n)- arcs %R 10.24271/garmian.129 %X 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. %U https://jgu.garmian.edu.krd/article_65654_d182465afbee633696ceaad6d889171c.pdf