UVictoria Discrete Math Seminar: Thomas Pender

In this talk we will address the relatively new objects quaternary Legendre pairs. These objects (and their binary counterparts) were introduced in order to construct Hadamard matrices and have garnered renewed interest recently. Over the course of this talk, it will be shown that quaternary Legendre pairs of even length are the “interesting” examples, and we will present the first known constructions of these sequences. In addition, a brief survey of Legendre pairs and related techniques in the constructions of Hadamard matrices will be covered.