Phan geometries and error correcting codes

Fyn-Sydney, Betty Iboroma (2013)
Ph.D. thesis, University of Birmingham.

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Abstract

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.

Type of Work:	Ph.D. thesis.
Supervisor(s):	Hoffman, Cornelius
School/Faculty:	Colleges (2008 onwards) > College of Engineering & Physical Sciences
Department:	School of Mathematics
Subjects:	QA Mathematics
Institution:	University of Birmingham
ID Code:	4433

This unpublished thesis/dissertation is copyright of the author and/or third parties. The intellectual property rights of the author or third parties in respect of this work are as defined by The Copyright Designs and Patents Act 1988 or as modified by any successor legislation. Any use made of information contained in this thesis/dissertation must be in accordance with that legislation and must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the permission of the copyright holder.

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