Codes, graphs and designs from maximal subgroups of alternating groups

Codes, graphs and designs from maximal subgroups of alternating groups

Philosophiae Doctor - PhD (Mathematics) === 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 matrices and their transposes for som...

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Bibliographic Details
Main Author: Mumba, Nephtale Bvalamanja
Other Authors: Mwambene, Eric
Language:en
Published: University of the Western Cape 2018
Subjects:
Alternating groups
Automorphism groups
Antipodal graphs
Bipartite graphs
Designs
Graphs
Graph covers
Incidence design
Linear code
Maximal subgroups
Neighbourhood design
Permutation decoding
Online Access:http://hdl.handle.net/11394/6165

Internet

http://hdl.handle.net/11394/6165

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