The Lower Bounds of Eight and Fourth Blocking Sets and Existence of Minimal Blocking Sets
ABSTRACT<br /> This paper contains two main results relating to the size of eight and fourth blocking set in PG(2,16). First gives new example for (129,9)-complete arc. The second result we prove that there exists (k,13)- complete arc in PG(2,16), k≤197. We classify the minimal blocking sets o...
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Format: | Book |
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College of Education for Pure Sciences,
2007-04-01T00:00:00Z.
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Summary: | ABSTRACT<br /> This paper contains two main results relating to the size of eight and fourth blocking set in PG(2,16). First gives new example for (129,9)-complete arc. The second result we prove that there exists (k,13)- complete arc in PG(2,16), k≤197. We classify the minimal blocking sets of size eight in PG(2,4).We show that Rédei -type minimal blocking sets of size eight exist in PG(2, 4). Also we classify the minimal blocking sets of size ten in PG(2, 5), We obtain an example of a minimal blocking set of size ten with at most 4-secants.We show that Rédei -type minimal blocking sets of size ten exists in PG(2, 5). |
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Item Description: | 1812-125X 2664-2530 10.33899/edusj.2007.51324 |