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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Main Authors: L.Yasin Nada Yassen Kasm Yahya (Author), Abdul Khalik (Author)
Format: Book
Published: 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).
Item Description:1812-125X
2664-2530
10.33899/edusj.2007.51324