Date of Award
2014
Document Type
Master's report
Degree Name
Master of Science in Mathematical Sciences (MS)
College, School or Department Name
Department of Mathematical Sciences
Advisor
Stefaan De Winter
Abstract
This report explores combinatorial structures in Finite Geometries by giving known constructions of maximal arcs; using maximal arcs to construct two-weight codes, partial geometries, strongly regular graphs and LDPC codes; a review on how to generalize maximal arcs to higher dimensions through Perp-Systems; and an effort in finding constructions of new Perp-Systems.
Recommended Citation
Domenzain-Gonzale, Diego, "MAXIMAL ARCS, ABOVE AND BEYOND", Master's report, Michigan Technological University, 2014.