1 citations · 1 across the 5 of their papers we have counts for
5 papers
The Minimal Absolute Value of Sums of Fifth Roots of Unity
Akihiro Munemasa, Guillermo Núñez Ponasso
We determine the minimal absolute value of a non-vanishing sum of fifth roots of unity chosen with repetition, and characterize the corresponding sums. As a function of , th…
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…
Improved User-Private Information Retrieval via Finite Geometry
Oliver Gnilke, Marcus Greferath, Camilla Hollanti +3
In a User-Private Information Retrieval (UPIR) scheme, a set of users collaborate to retrieve files from a database without revealing to observers which participant in the scheme r…