Optimize the maximum values mr (2, q) for parentheses in (, k, r in PG (2, q)

Section: Article
Issue
Vol. 24 No. 2 (2011): Volume 24 Issue 2
Published
Jun 1, 2011
Pages
159-179

Abstract

ABSTRACT In this paper we finding the maximum(k,r)-arcs and minimum values for a complete(k,r)-arcs which are unknown at yet in projective plane PG(2,31), improvement some of the maximum value mr(2,q) for 3r10 by using conic equation, and for value 4r6 by using incidence matrix and we get new examples (68,4), (96,5), (128,6)-arcs that have not been obtained previously. Also we prove that nonexists (k,3)-arcs when in PG(2,31) theorm (1.9.1).

Authors

Nada Y. Q Yahya

Department of Mathematics, College of Education, University of Mosul, Mosul, Iraq

Heba S. N. Abdullah

Department of Mathematics, College of Education, University of Mosul, Mosul, Iraq

Identifiers

https://doi.org/10.33899/edusj.2011.58736
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How to Cite

[1]
N. Y. Q Yahya, ندى, H. S. N. Abdullah, and هبة, “Optimize the maximum values mr (2, q) for parentheses in (, k, r in PG (2, q)”, EDUSJ, vol. 24, no. 2, pp. 159–179, Jun. 2011.