MDS Codes with Complementary Duals over Finite Fields
| dc.contributor.author | ABASSI, Nour El Houda | |
| dc.contributor.author | ALIANE, Khira Soulef | |
| dc.contributor.author | Supervisor: LEBED, Khawla | |
| dc.date.accessioned | 2023-06-26T13:37:25Z | |
| dc.date.available | 2023-06-26T13:37:25Z | |
| dc.date.issued | 2023-06-10 | |
| dc.description.abstract | A linear complementary dual (LCD) code is a linear code C whose dual code C⊥ satisfies C u C⊥ = {0}. LCD codes have been used in certain communication systems. This application of LCD codes renewed the interest in the construction of LCD codes having a large minimum distance. Maximum Distance Separable MDS codes are a class of error correcting codes that achieve the maximum possible distance between code-words. Maximum distance separable with complementary dual (LCD MDS) codes are very important in coding theory and practice. We focus in this work on LCD MDS codes constructed from generalized Reed-Solomon (GRS) codes over finite fields | en_US |
| dc.identifier.uri | http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/39805 | |
| dc.language.iso | en | en_US |
| dc.publisher | University of M'sila | en_US |
| dc.subject | Linear complementary dual (LCD), generalized Reed-Solomon (GRS) code , MDS code. | en_US |
| dc.title | MDS Codes with Complementary Duals over Finite Fields | en_US |
| dc.type | Thesis | en_US |