Classification of some arcs of type (m,n) in PG(2,19)
Joint Authors
Muhammad, Maqbulah J.
Qasim, Ban A.
Jasim, Layla
Source
al-Tarbiyah wa-al-Ilm : Majallat ilmiyah lil-Buhuth al-Ilmiyah al-Asasiyah
Issue
Vol. 22, Issue 4 (31 Dec. 2009), pp.83-93, 11 p.
Publisher
University of Mosul College of Education for Pure Science
Publication Date
2009-12-31
Country of Publication
Iraq
No. of Pages
11
Main Subjects
Civil Engineering
Information Technology and Computer Science
Topics
Abstract EN
This paper conclude the study of the weights of points and lines of(k,n)-arcs from 1 0 L until 381 0 L , since the number of points and linesof this plane is very large, so we divide this search in to three parts.
The first part contained the existence of these arcs from10L to171 0 L and we show that when 171 0 L the (210,39;f)-arc of type(20,39) exist and all the other cases from 1 0 L to 170 0 L does not exist.In the second part we studied these arcs from 340 0 L to 381 0 L and we saw that there are two types of these arcs when 342 0 L and361 0 L which are respectively (39,21;f)- arc of type (2,21) and (20,20;f)-arc of type (1,20), then proved the theorem of these special cases aregiven.Finally in the last step we prove that (k,n;f)- arc of type (n-19,n)does not exist in PG(2,19) for all values of 0 Lfrom 362 to 381.
American Psychological Association (APA)
Muhammad, Maqbulah J.& Qasim, Ban A.& Jasim, Layla. 2009. Classification of some arcs of type (m,n) in PG(2,19). al-Tarbiyah wa-al-Ilm : Majallat ilmiyah lil-Buhuth al-Ilmiyah al-Asasiyah،Vol. 22, no. 4, pp.83-93.
https://search.emarefa.net/detail/BIM-621480
Modern Language Association (MLA)
Qasim, Ban A.…[et al.]. Classification of some arcs of type (m,n) in PG(2,19). al-Tarbiyah wa-al-Ilm : Majallat ilmiyah lil-Buhuth al-Ilmiyah al-Asasiyah Vol. 22, no. 4 (Dec. 2009), pp.83-93.
https://search.emarefa.net/detail/BIM-621480
American Medical Association (AMA)
Muhammad, Maqbulah J.& Qasim, Ban A.& Jasim, Layla. Classification of some arcs of type (m,n) in PG(2,19). al-Tarbiyah wa-al-Ilm : Majallat ilmiyah lil-Buhuth al-Ilmiyah al-Asasiyah. 2009. Vol. 22, no. 4, pp.83-93.
https://search.emarefa.net/detail/BIM-621480
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 93
Record ID
BIM-621480