Classification of some arcs of type (m,n) in PG(2,19)
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | Arabic |
| Published: |
College of Education for Pure Sciences
2009-12-01
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| Series: | مجلة التربية والعلم |
| Subjects: | |
| Online Access: | https://edusj.mosuljournals.com/article_57929_0b7f607803f634ad4762cccdf4f40fd0.pdf |
| Summary: | 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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| ISSN: | 1812-125X 2664-2530 |