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Combinatorics of Complex Maximal Determinant Matrices
Guillermo Nuñez Ponasso
This doctoral thesis covers several topics related to the construction and study of maximal determinant matrices with complex entries. The first three chapters are devoted to numbe…
Invariants of Quadratic Forms and applications in Design Theory
Oliver W. Gnilke, Padraig O Cathain, Oktay Olmez +1
The study of regular incidence structures such as projective planes and symmetric block designs is a well established topic in discrete mathematics. Work of Bruck, Ryser and Chowla…
Morphisms of Skew Hadamard Matrices
Philip Heikoop, Guillermo Nuñez Ponasso, Padraig Ó Catháin +1
Quaternary unit Hadamard (QUH) matrices were introduced by Fender, Kharagani and Suda along with a method to construct them at prime power orders. We present a novel construction o…