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Optimize the maximum values mr (2, q) for parentheses in (, k, r in PG (2, q) | ||
| Journal of Education and Science | ||
| Article 24, Volume 24, Issue 2, 2011, Pages 159-179 PDF (0 K) | ||
| DOI: 10.33899/edusj.2011.58736 | ||
| Authors | ||
| Nada Y. Q Yahya* ; Heba S. N. Abdullah | ||
| Department of Mathematics, College of Education, University of Mosul, Mosul, Iraq | ||
| 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 3≤r≤10 by using conic equation, and for value 4≤r≤6 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). | ||
| Keywords | ||
| maximum values; mr (2; parentheses; k; r; PG (2; q) | ||
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