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Codes, graphs and designs related to iterated line graphs of complete graphs
(University of the Western Cape, 2011)
In this thesis, we describe linear codes over prime fields obtained from incidence designs of iterated line graphs of complete graphs Li(Kn) where i = 1, 2. In the binary case, results are extended to codes from neighbourhood ...
Codes, graphs and designs from maximal subgroups of alternating groups
(University of the Western Cape, 2018)
The main theme of this thesis is the construction of linear codes from adjacency matrices or sub-matrices of adjacency matrices of regular graphs. We first examine the binary codes from the row span of biadjacency ...