Extension of Cap by Size and Degree in the Space PG(3,11)
A cap of size and degree in a projective space, (briefly; -cap) is a set of points with the property that each line in the space meet it in at most points. The aim of this research is to extend the size and degree of complete caps and incomplete caps, -caps of degree in the finite projective s...
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| Format: | Article |
| Language: | English |
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University of Baghdad
2023-04-01
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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/3025 |
| _version_ | 1797842529267220480 |
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| author | Jabbar Sharif Radhi Emad Bakr Al-Zangana |
| author_facet | Jabbar Sharif Radhi Emad Bakr Al-Zangana |
| author_sort | Jabbar Sharif Radhi |
| collection | DOAJ |
| description |
A cap of size and degree in a projective space, (briefly; -cap) is a set of points with the property that each line in the space meet it in at most points. The aim of this research is to extend the size and degree of complete caps and incomplete caps, -caps of degree in the finite projective space of dimension three over the finite field of order eleven, which already exist and founded by the action of subgroups of the general linear group over the finite field of order eleven and degree four, to -complete caps. These caps have been classified by giving the -distribution and -distribution. The Gap programming has been used to execute the designed algorithms and computations.
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| first_indexed | 2024-04-09T16:49:24Z |
| format | Article |
| id | doaj.art-b607d3e407554facb5d7daafc75536c0 |
| institution | Directory Open Access Journal |
| issn | 1609-4042 2521-3407 |
| language | English |
| last_indexed | 2024-04-09T16:49:24Z |
| publishDate | 2023-04-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj.art-b607d3e407554facb5d7daafc75536c02023-04-22T03:30:07ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072023-04-0136210.30526/36.2.3025Extension of Cap by Size and Degree in the Space PG(3,11)Jabbar Sharif Radhi0Emad Bakr Al-Zangana1Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq.Department of Mathematics, College of Science,Mustansiriyah University, Baghdad, Iraq. A cap of size and degree in a projective space, (briefly; -cap) is a set of points with the property that each line in the space meet it in at most points. The aim of this research is to extend the size and degree of complete caps and incomplete caps, -caps of degree in the finite projective space of dimension three over the finite field of order eleven, which already exist and founded by the action of subgroups of the general linear group over the finite field of order eleven and degree four, to -complete caps. These caps have been classified by giving the -distribution and -distribution. The Gap programming has been used to execute the designed algorithms and computations. https://jih.uobaghdad.edu.iq/index.php/j/article/view/3025 Cap, Complete (Incomplete) cap, Companion matrix, Projective space, τ_i- distribution, c_i-distribution. |
| spellingShingle | Jabbar Sharif Radhi Emad Bakr Al-Zangana Extension of Cap by Size and Degree in the Space PG(3,11) Ibn Al-Haitham Journal for Pure and Applied Sciences Cap, Complete (Incomplete) cap, Companion matrix, Projective space, τ_i- distribution, c_i-distribution. |
| title | Extension of Cap by Size and Degree in the Space PG(3,11) |
| title_full | Extension of Cap by Size and Degree in the Space PG(3,11) |
| title_fullStr | Extension of Cap by Size and Degree in the Space PG(3,11) |
| title_full_unstemmed | Extension of Cap by Size and Degree in the Space PG(3,11) |
| title_short | Extension of Cap by Size and Degree in the Space PG(3,11) |
| title_sort | extension of cap by size and degree in the space pg 3 11 |
| topic | Cap, Complete (Incomplete) cap, Companion matrix, Projective space, τ_i- distribution, c_i-distribution. |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/3025 |
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