The Construction of (k,3)-Arcs in PG(2,9) by Using Geometrical Method
In this work, we construct projectively distinct (k,3)-arcs in the projective plane PG(2,9) by applying a geometrical method. The cubic curves have been been constructed by using the general equation of the cubic. We found that there are complete (13,3)-arcs, complete (15,3)-arcs and we f...
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| Format: | Article |
| Language: | English |
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University of Baghdad
2017-04-01
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| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| Subjects: | |
| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/472 |
| _version_ | 1817982455309664256 |
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| author | Adil Mahmod Amal .SH. Al-Mukhtar Fatema.F. Kareem |
| author_facet | Adil Mahmod Amal .SH. Al-Mukhtar Fatema.F. Kareem |
| author_sort | Adil Mahmod |
| collection | DOAJ |
| description |
In this work, we construct projectively distinct (k,3)-arcs in the projective plane PG(2,9) by applying a geometrical method. The cubic curves have been been constructed by using the general equation of the cubic. We found that there are complete (13,3)-arcs, complete (15,3)-arcs and we found that the only (16,3)-arcs lead to maximum completeness
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| first_indexed | 2024-04-13T23:21:02Z |
| format | Article |
| id | doaj.art-d9555688c49445b791443a65727f3e6d |
| institution | Directory Open Access Journal |
| issn | 1609-4042 2521-3407 |
| language | English |
| last_indexed | 2024-04-13T23:21:02Z |
| publishDate | 2017-04-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj.art-d9555688c49445b791443a65727f3e6d2022-12-22T02:25:14ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072017-04-01262The Construction of (k,3)-Arcs in PG(2,9) by Using Geometrical MethodAdil MahmodAmal .SH. Al-MukhtarFatema.F. Kareem In this work, we construct projectively distinct (k,3)-arcs in the projective plane PG(2,9) by applying a geometrical method. The cubic curves have been been constructed by using the general equation of the cubic. We found that there are complete (13,3)-arcs, complete (15,3)-arcs and we found that the only (16,3)-arcs lead to maximum completeness https://jih.uobaghdad.edu.iq/index.php/j/article/view/472arcs, secant, Projective , Plane |
| spellingShingle | Adil Mahmod Amal .SH. Al-Mukhtar Fatema.F. Kareem The Construction of (k,3)-Arcs in PG(2,9) by Using Geometrical Method Ibn Al-Haitham Journal for Pure and Applied Sciences arcs, secant, Projective , Plane |
| title | The Construction of (k,3)-Arcs in PG(2,9) by Using Geometrical Method |
| title_full | The Construction of (k,3)-Arcs in PG(2,9) by Using Geometrical Method |
| title_fullStr | The Construction of (k,3)-Arcs in PG(2,9) by Using Geometrical Method |
| title_full_unstemmed | The Construction of (k,3)-Arcs in PG(2,9) by Using Geometrical Method |
| title_short | The Construction of (k,3)-Arcs in PG(2,9) by Using Geometrical Method |
| title_sort | construction of k 3 arcs in pg 2 9 by using geometrical method |
| topic | arcs, secant, Projective , Plane |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/472 |
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