dc.contributor.author | Nyamu, Andrew W | |
dc.date.accessioned | 2016-11-24T08:42:40Z | |
dc.date.available | 2016-11-24T08:42:40Z | |
dc.date.issued | 2016-06 | |
dc.identifier.uri | http://hdl.handle.net/11295/97832 | |
dc.description.abstract | In this project, we have reviewed the methods of constructing Balanced Incomplete
Block Designs (BIBDs) by means of Mutually Orthogonal Latin squares (MOLS) of
prime powers order arising from Finite Geometries and Finite Fields. This project
nds that the existence of an A ne plane of prime powers order implies the existence
of a set of Mutually Orthogonal Latin squares (MOLS) of the same order, a treatment
square of side equal to the prime powers order, a set of bijective maps de ned on the
key Latin square into the treatment space and a transformation de ned on the set of
bijective maps that generates new sets of bijective maps that are the mappings of the
remaining MOLS into the treatment square. | en_US |
dc.language.iso | en | en_US |
dc.publisher | University of Nairobi | en_US |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
dc.title | On The Relationships Between Latin Squares, Finite Geometries & Balanced Incomplete Block Designs (BIBDs) | en_US |
dc.type | Thesis | en_US |