The Lower Bounds of Eight and Fourth Blocking Sets and Existence of Minimal Blocking Sets

ABSTRACT 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...

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Published in:	al-Tarbiyah wa-al-ʻilm lil-ʻulūm al-insānīyah : majallah ʻilmīyah muḥakkamah taṣduru ʻan Kullīyat al-Tarbiyah lil-ʻUlūm al-Insānīyah fī Jāmiʻat al-Mawṣil Vol. 19; no. 3; pp. 99 - 111
Main Authors:	L.Yasin Nada Yassen Kasm Yahya, Abdul Khalik
Format:	Journal Article
Language:	Arabic English
Published:	College of Education for Pure Sciences 01-04-2007
Subjects:	eight and fourth blocking sets lower bounds
Online Access:	Get full text
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Summary:	ABSTRACT 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).
ISSN:	1812-125X 2664-2530
DOI:	10.33899/edusj.2007.51324