Codes with Singleton defects of one and two
| dc.contributor.advisor | Alderson, Tim | |
| dc.contributor.author | Zhang, Zhipeng | |
| dc.date.accessioned | 2024-07-09T14:41:05Z | |
| dc.date.available | 2024-07-09T14:41:05Z | |
| dc.date.issued | 2024-04 | |
| dc.description.abstract | This thesis covers codes with Singleton defects of one and two. The discussion on codes with a Singleton defect of one begins by introducing almost MDS and near MDS codes, then proceeds to explore the maximum lengths of MDS and near MDS codes. This part of the discussion concludes by proving some results using projective geometry. Following this, the thesis shifts its focus to studying almost almost MDS and near near MDS codes, which are codes with a Singleton defect of two. This analysis begins with definitions of almost almost MDS and near near MDS codes, followed by an exploration of the differences between these codes within the context of projective geometry, and ends with an upper bound on the length of long almost almost MDS codes. | |
| dc.description.copyright | © Zhipeng Zhang, 2024 | |
| dc.format.extent | ix, 73 | |
| dc.format.medium | electronic | |
| dc.identifier.uri | https://unbscholar.lib.unb.ca/handle/1882/38025 | |
| dc.language.iso | en | |
| dc.publisher | University of New Brunswick | |
| dc.rights | http://purl.org/coar/access_right/c_abf2 | |
| dc.subject.discipline | Mathematics and Statistics | |
| dc.title | Codes with Singleton defects of one and two | |
| dc.type | master thesis | |
| oaire.license.condition | other | |
| thesis.degree.discipline | Mathematics and Statistics | |
| thesis.degree.grantor | University of New Brunswick | |
| thesis.degree.level | masters | |
| thesis.degree.name | M.Sc. |