Byard, K. & Broughan, K.A. (2009). Qualified difference sets from unions of cyclotomic classes. Bulletin of the Australian Mathematical Society, 80, 147-158.
Permanent Research Commons link: http://hdl.handle.net/10289/3533
Qualified difference sets (QDS) composed of unions of cyclotomic classes are discussed. An exhaustive computer search for such QDS and modified QDS that also possess the zero residue has been conducted for all powers n=4,6,8 and 10. Two new families were discovered in the case n=8 and some new isolated systems were discovered for n=6 and n=10.
Cambridge University Press
This article has been published in the journal: Bulletin of the Australian Mathematical Society. © Copyright 2009 Australian Mathematical Society.