Projective MDS Codes Over GF(27)
MDS code is a linear code that achieves equality in the Singleton bound, and projective MDS (PG-MDS) is MDS code with independents property of any two columns of its generator matrix. In this paper, elementary methods for modifying a PG-MDS code of dimensions 2, 3, as extending and lengthening, in...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Baghdad, College of Science for Women
2021-06-01
|
| Series: | مجلة بغداد للعلوم |
| Subjects: | |
| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/5772 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849710681149931520 |
|---|---|
| author | Emad Bakr Abdulkareem Al-Zangana |
| author_facet | Emad Bakr Abdulkareem Al-Zangana |
| author_sort | Emad Bakr Abdulkareem Al-Zangana |
| collection | DOAJ |
| description | MDS code is a linear code that achieves equality in the Singleton bound, and projective MDS (PG-MDS) is MDS code with independents property of any two columns of its generator matrix. In this paper, elementary methods for modifying a PG-MDS code of dimensions 2, 3, as extending and lengthening, in order to find new incomplete PG-MDS codes have been used over . Also, two complete PG-MDS codes over of length and 28 have been found. |
| format | Article |
| id | doaj-art-5776a375593f4e76889dc5ccd92092fb |
| institution | DOAJ |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2021-06-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-5776a375593f4e76889dc5ccd92092fb2025-08-20T03:14:50ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862021-06-01182(Suppl.)10.21123/bsj.2021.18.2(Suppl.).1125Projective MDS Codes Over GF(27)Emad Bakr Abdulkareem Al-Zangana0Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, IraqMDS code is a linear code that achieves equality in the Singleton bound, and projective MDS (PG-MDS) is MDS code with independents property of any two columns of its generator matrix. In this paper, elementary methods for modifying a PG-MDS code of dimensions 2, 3, as extending and lengthening, in order to find new incomplete PG-MDS codes have been used over . Also, two complete PG-MDS codes over of length and 28 have been found.https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/5772Conic, Finite field, Finite projective plane, Maximum distance separable codes. |
| spellingShingle | Emad Bakr Abdulkareem Al-Zangana Projective MDS Codes Over GF(27) مجلة بغداد للعلوم Conic, Finite field, Finite projective plane, Maximum distance separable codes. |
| title | Projective MDS Codes Over GF(27) |
| title_full | Projective MDS Codes Over GF(27) |
| title_fullStr | Projective MDS Codes Over GF(27) |
| title_full_unstemmed | Projective MDS Codes Over GF(27) |
| title_short | Projective MDS Codes Over GF(27) |
| title_sort | projective mds codes over gf 27 |
| topic | Conic, Finite field, Finite projective plane, Maximum distance separable codes. |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/5772 |
| work_keys_str_mv | AT emadbakrabdulkareemalzangana projectivemdscodesovergf27 |