Full Text Available
Note: Clicking the button above will open the full text document at the original institutional repository in a new window.
On algebraic geometric codes and some related codes
Thesis (MSc (Mathematics))--University of Stellenbosch, 2006.
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Language: | English |
| Published: |
Stellenbosch : University of Stellenbosch
2008
|
| Subjects: | |
| Tags: |
No Tags, Be the first to tag this record!
|
| _version_ | 1867614131061784576 |
|---|---|
| access_status_str | Open Access |
| author | Guenda, Kenza |
| author2 | Green, Barry W. |
| author_browse | Green, Barry W. Guenda, Kenza |
| author_facet | Green, Barry W. Guenda, Kenza |
| author_sort | Guenda, Kenza |
| collection | Thesis |
| dc_rights_str_mv | University of Stellenbosch |
| description | Thesis (MSc (Mathematics))--University of Stellenbosch, 2006. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/2033 |
| institution | Stellenbosch University (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:47:09.638Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2008 |
| publishDateRange | 2008 |
| publishDateSort | 2008 |
| publisher | Stellenbosch : University of Stellenbosch |
| publisherStr | Stellenbosch : University of Stellenbosch |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/2033 On algebraic geometric codes and some related codes Guenda, Kenza Green, Barry W. University of Stellenbosch. Faculty of Science. Dept. of Mathematical Sciences. Algebraic geometric codes Error probability BCH codes List decoding Dissertations -- Mathematics Theses -- Mathematics Geometry, Algebraic Goppa codes Reed-Solomon codes Thesis (MSc (Mathematics))--University of Stellenbosch, 2006. The main topic of this thesis is the construction of the algebraic geometric codes (Goppa codes), and their decoding by the list-decoding, which allows one to correct beyond half of the minimum distance. We also consider the list-decoding of the Reed–Solomon codes as they are subclass of the Goppa codes, and the determination of the parameters of the non primitive BCH codes. AMS Subject Classification: 4B05, 94B15, 94B35, 94B27, 11T71, 94B65,B70. Keywords: Linear codes, cyclic codes, BCH codes, Reed–Solomon codes, list-decoding, Algebraic Geometric codes, decoding, bound on codes, error probability. 2008-07-15T10:40:13Z 2010-06-01T08:39:14Z 2008-07-15T10:40:13Z 2010-06-01T08:39:14Z 2006-12 Thesis http://hdl.handle.net/10019.1/2033 en University of Stellenbosch application/pdf Stellenbosch : University of Stellenbosch |
| spellingShingle | Algebraic geometric codes Error probability BCH codes List decoding Dissertations -- Mathematics Theses -- Mathematics Geometry, Algebraic Goppa codes Reed-Solomon codes Guenda, Kenza On algebraic geometric codes and some related codes |
| title | On algebraic geometric codes and some related codes |
| title_full | On algebraic geometric codes and some related codes |
| title_fullStr | On algebraic geometric codes and some related codes |
| title_full_unstemmed | On algebraic geometric codes and some related codes |
| title_short | On algebraic geometric codes and some related codes |
| title_sort | on algebraic geometric codes and some related codes |
| topic | Algebraic geometric codes Error probability BCH codes List decoding Dissertations -- Mathematics Theses -- Mathematics Geometry, Algebraic Goppa codes Reed-Solomon codes |
| url | http://hdl.handle.net/10019.1/2033 |
| work_keys_str_mv | AT guendakenza onalgebraicgeometriccodesandsomerelatedcodes |