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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 ...
Codes Related to and Derived from Hamming Graphs
(University of the Western Cape, 2013)
For integers n, k 2:: 1, and k ~ n, the graph r~has vertices the 2n vectors of lF2 and adjacency defined by two vectors being adjacent if they differ in k coordinate positions. In particular, r~is the classical n-cube, ...