Phan geometries and error correcting codes
In this thesis, we define codes based on the Phan geometry of type An. We show that the action of the group SUn+1(q) is not irreducible on the code. In the rank two case, we prove that the code is spanned by those apartments which only consist of chambers belonging to the Phan geometry and obtain su...
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University of Birmingham
2013
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ndltd-bl.uk-oai-ethos.bl.uk-5778502019-04-03T06:28:40ZPhan geometries and error correcting codesFyn-Sydney, Betty Iboroma2013In this thesis, we define codes based on the Phan geometry of type An. We show that the action of the group SUn+1(q) is not irreducible on the code. In the rank two case, we prove that the code is spanned by those apartments which only consist of chambers belonging to the Phan geometry and obtain submodules for the code.510QA MathematicsUniversity of Birminghamhttps://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.577850http://etheses.bham.ac.uk//id/eprint/4433/Electronic Thesis or Dissertation |
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NDLTD |
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NDLTD |
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510 QA Mathematics |
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510 QA Mathematics Fyn-Sydney, Betty Iboroma Phan geometries and error correcting codes |
| description |
In this thesis, we define codes based on the Phan geometry of type An. We show that the action of the group SUn+1(q) is not irreducible on the code. In the rank two case, we prove that the code is spanned by those apartments which only consist of chambers belonging to the Phan geometry and obtain submodules for the code. |
| author |
Fyn-Sydney, Betty Iboroma |
| author_facet |
Fyn-Sydney, Betty Iboroma |
| author_sort |
Fyn-Sydney, Betty Iboroma |
| title |
Phan geometries and error correcting codes |
| title_short |
Phan geometries and error correcting codes |
| title_full |
Phan geometries and error correcting codes |
| title_fullStr |
Phan geometries and error correcting codes |
| title_full_unstemmed |
Phan geometries and error correcting codes |
| title_sort |
phan geometries and error correcting codes |
| publisher |
University of Birmingham |
| publishDate |
2013 |
| url |
https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.577850 |
| work_keys_str_mv |
AT fynsydneybettyiboroma phangeometriesanderrorcorrectingcodes |
| _version_ |
1719012880147283968 |