Classification of some arcs of type (m,n) in PG(2,19)

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Classification of some arcs of type (m,n) in PG(2,19)

Makbola. Mohamed et al · University of Mosul, College of Education for Pure Science · 2009

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Author / responsible party

Makbola. Mohamed et al

Publisher

University of Mosul, College of Education for Pure Science

Year

2009

ISSN

1812-125X

ISSN

1812-125X

Language

English

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Abstract:<br /> This paper conclude the study of the weights of points and lines of (k,n)-arcs from until , since the number of points and lines of this plane is very large, so we divide this search in to three parts.<br /> The first part contained the existence of these arcs from to and we show that when the (210,39;f)-arc of type (20,39) exist and all the other cases from to does not exist.<br /> In the second part we studied these arcs from to and we saw that there are two types of these arcs when and 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 are given.<br /> 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 from 362 to 381.

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APA 7

al, M. M. E. (2009). Classification of some arcs of type (m,n) in PG(2,19). https://doi.org/10.33899/edusj.2009.57929

MLA

al, Makbola. Mohamed et. "Classification of some arcs of type (m,n) in PG(2,19)." 2009. https://doi.org/10.33899/edusj.2009.57929.

Chicago

al, Makbola. Mohamed et. 2009. "Classification of some arcs of type (m,n) in PG(2,19).". https://doi.org/10.33899/edusj.2009.57929.

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al, M. M. E. 2009, Classification of some arcs of type (m,n) in PG(2,19), University of Mosul, College of Education for Pure Science, available at: https://doi.org/10.33899/edusj.2009.57929 [Accessed 7 Aug. 2026].

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Title: Classification of some arcs of type (m,n) in PG(2,19)

Author / contributors: Makbola. Mohamed et al

Publisher: University of Mosul, College of Education for Pure Science

Publication year: 2009

ISSN: 1812-125X

ISSN: 1812-125X

Language: English

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classification; arcs of type (m; n); pg(2; 19)