Title of article
Classification and Construction of (k,3)-Arcs on Projective Plane Over Galois Field GF(9)
Author/Authors
Ahmad, Adil M. University of Baghdad - College of Education for Pure Science (Ibn AL-Haitham) - Department of Mathematics, Iraq , Al-Mukhtar, Amaal SH. University of Baghdad - College of Education for Pure Science (Ibn AL-Haitham) - Department of Mathematics, Iraq , Kareem, Fatima. F. University of Baghdad - College of Education for Pure Science (Ibn AL-Haitham) - Department of Mathematics, Iraq
From page
266
To page
274
Abstract
In this work, we construct and classify the projectively distinct (k,3)-arcs in PG(2,9), where k ≥ 5, and prove that the complete (k,3)-arcs do not exist, where 5 ≤ k ≤ 13. We found that the maximum complete (k,3)-arc in PG(2,q) is the (16,3)-arc and the minimum complete (k,3)-arc in PG(2,q) is the (14,3)-arc. Moreover, we found the complete (k,3)-arcs between them.
Keywords
arcs , secant , Projective plane , Galois Field
Journal title
Ibn Alhaitham Journal For Pure and Applied Science
Journal title
Ibn Alhaitham Journal For Pure and Applied Science
Record number
2602170
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