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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| Online Access: | https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.577850 |
| Summary: | 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. |
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