Hadamard and Conference Matrices

Authors:
K. T. Arasu;Yu Qing Chen;Alexander Pott
Affiliations:
Department of Mathematics and Statistics, Wright State University, Dayton, Ohio 45435, USA;Department of Mathematics, RMIT-City Campus, GPO Box 2476V, Melbourne, Victoria 3001, Australia;Institute for Algebra and Geometry, Otto-von-Guericke-University Magdeburg, 39016 Magdeburg, Germany
Venue:
Journal of Algebraic Combinatorics: An International Journal
Year:
2001

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Abstract

We discuss new constructions of Hadamard and conference matrices using relative difference sets. We present the first example of a relative (in, 2, in − 1, \frac{n-2}{2})-difference set where in − 1 is not a prime power.