Optimize the maximum values mr (2, q) for parentheses in (, k, r in PG (2, q)
ABSTRACT<br /> 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 w...
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| Main Authors: | , |
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| Format: | Book |
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College of Education for Pure Sciences,
2011-06-01T00:00:00Z.
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| Summary: | ABSTRACT<br /> 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.<br /> Also we prove that nonexists (k,3)-arcs when in PG(2,31) theorm (1.9.1). |
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| Item Description: | 1812-125X 2664-2530 10.33899/edusj.2011.58736 |