Circulant weighing designs

Abstract

Algebraic techniques are employed to obtain necessary conditions for the existence of certain families of circulant weighing designs. As an application we rule out the existence of many circulant weighing designs. In particular, we show that there does not exist a circulant weighing matrix of order 43 for any weight. We also prove two conjectures of Yosef Strassler. © 1996 John Wiley & Sons, Inc. Disciplines Physical Sciences and Mathematics Publication Details Arasu K T and Seberry J, Circulant weighing designs, Journal of Combinatorial Designs, 4 (1996), 439-447. This journal article is available at Research Online: http://ro.uow.edu.au/infopapers/1122 Circulant Weighing Designs K. T. Arasu* Department of Mathematics and Statistics, Wright State University, Dayton, OH 45435 Jennifer Seberryt Department of Computer Science, University of Wollongong, NSW 2522, Australia ABSTRACT Algebraic techniques are employed to obtain necessary conditions for the existence of certain families of circulant weighing designs. As an application we rule out the existence of many circulant weighing designs. In particular, we show that there does not exist a circulant weighing matrix of order 43 for any weight. We also prove two conjectures of Yosef Strassler. © 1996 John Wiley & Sons, Inc.Algebraic techniques are employed to obtain necessary conditions for the existence of certain families of circulant weighing designs. As an application we rule out the existence of many circulant weighing designs. In particular, we show that there does not exist a circulant weighing matrix of order 43 for any weight. We also prove two conjectures of Yosef Strassler. © 1996 John Wiley & Sons, Inc.